#Logarithm formula sheet

[alicemark0087]

ACT Math Practice Tips for Mastering Every Section

The ACT Math section can feel like a high-pressure sprint: 60 questions in 60 minutes, covering everything from basic arithmetic to trigonometry. Whether you’re a math whiz or someone who breaks into a sweat at the sight of equations, strategic ACT Math practice is the key to boosting your confidence and score. This guide will walk you through the test’s structure, the topics you need to master, actionable strategies, and the best resources to help you prepare—without any fluff or sales pitches. Let’s dive in!

Understanding the ACT Math Section: What You’re Up Against

The ACT Math test is a 60-minute, 60-question marathon designed to assess skills you’ve learned up to the start of 12th grade. It’s multiple-choice, calculators are allowed (with some restrictions), and there’s no penalty for guessing—so always answer every question! Here’s what you need to know about the content and structure:

Content Breakdown

The test focuses on six core areas, weighted by approximate percentage:

Pre-Algebra (20–25%) involves fractions, ratios, percentages, and basic number operations. These topics form the foundation of many questions on the test.

Elementary Algebra (15–20%) covers solving linear equations, inequalities, and simplifying expressions. A strong grasp of these concepts is essential for handling more complex algebraic problems.

Intermediate Algebra (15–20%): includes quadratic equations, functions, and systems of equations. This section tests your ability to solve more advanced equations and interpret complex algebraic relationships.

Coordinate Geometry (15–20%) focuses on graphing lines, circles, and understanding slopes and distance formulas. Mastering these concepts is key to solving geometry problems on the coordinate plane.

Plane Geometry (20–25%) involves the properties of shapes, angles, and geometric proofs. Understanding these concepts is essential for geometry-based questions on the test.

Trigonometry (5–10%) involves right triangles, sine/cosine/tangent functions, and basic trigonometric identities. While this section is smaller, it's still important to understand these concepts well.

You’ll also receive three subscores (Pre-Algebra/Elementary Algebra, Intermediate Algebra/Coordinate Geometry, and Plane Geometry/Trigonometry), which help pinpoint strengths and weaknesses.

Key Logistics

No formula sheet: You won’t get a formula sheet, so make sure to memorize essential formulas like the quadratic formula and the area of a circle before the test.

Calculator policy: Most graphing calculators are allowed, but avoid models with a computer algebra system (CAS). Double-check your calculator ahead of time to ensure it meets ACT guidelines.

Pacing: Aim for one minute per question. Prioritize easier problems first, quickly solving them and returning to more difficult ones later to maximize your score.

Key Topics to Focus On During ACT Math Practice

While the ACT covers a broad range of math concepts, certain topics appear frequently. Here’s what to prioritize:

Pre-Algebra & Elementary Algebra

These foundational topics make up nearly 40% of the test. Focus on:

Word problems involving ratios, percentages, and proportions, which are often framed in real-life scenarios.

Solving linear equations and inequalities, with an emphasis on real-world contexts such as determining the cost of items after tax or finding the time required for a journey.

Basic statistics, including mean, median, mode, and probability, and their applications in everyday situations like analyzing data or predicting outcomes.

Intermediate Algebra & Coordinate Geometry

These sections test your ability to solve more complex equations and interpret graphs:

Quadratic equations especially through factoring, completing the square, and applying the quadratic formula, which are essential for understanding more advanced mathematical concepts.

Functions including linear, polynomial, and logarithmic types, which are key in analyzing real-world trends such as growth patterns, financial models, and scientific data.

Graphing lines and circles, along with analyzing slopes, midpoints, and distances between points, which will test your spatial reasoning and understanding of coordinate geometry.

Plane Geometry & Trigonometry

Though trigonometry is the smallest category, it’s often the trickiest for students:

Area and volume calculations for two-dimensional and three-dimensional shapes like triangles, circles, spheres, and pyramids.

Understanding triangle properties such as the Pythagorean theorem, and the principles of similar and congruent triangles.

Basic trigonometric ratios such as sine, cosine, and tangent (SOH-CAH-TOA) along with unit circle concepts.

Top Strategies to Maximize Your Score

Knowing the content isn’t enough—you need smart test-taking tactics. Here’s how to practice effectively:

Simulate Real Test Conditions

Taking timed practice tests weekly will help build your stamina and pacing for the ACT. Using official ACT tests provides the most accurate experience and prepares you for the real exam. After each test, review your mistakes thoroughly. Reflect on whether the error was due to a calculation mistake, a misread question, or a gap in your knowledge.

Master Time-Saving Tricks

For algebra, try plugging in answer choices instead of solving from scratch. Eliminate obviously wrong answers to improve guessing odds. Use your calculator only for complex calculations, like trigonometry.

Avoid Common Pitfalls

It’s important not to over-rely on your calculator, as some problems can be solved faster mentally or with scratch work. Always double-check the units and wording of questions, especially if they involve measurements. For example, a question asking for the "radius" but giving the "diameter" is a common trap to watch out for.

The Best Resources for ACT Math Practice

You don’t need to spend a fortune to prepare well. Here are trusted free and paid tools:

Free Resources

Official ACT Practice Tests are the best for realistic questions and can be downloaded from the ACT website. Khan Academy offers free video tutorials on algebra, geometry, and trigonometry. Varsity Tutors provides diagnostic tests and concept-specific drills.

Paid Resources

The Official ACT Prep Guide includes six full-length practice tests with detailed explanations. PrepScholar offers an online course that adapts to your strengths and weaknesses. Barron’s ACT Math Workbook focuses on problem-solving strategies and high-yield topics.

Pro Tip: Build a Study Schedule

Start early with 2–3 months of consistent practice. Mix content review with practice tests, spending about 30% on learning concepts and 70% on applying them. Track progress weekly to note improvements in speed and accuracy.

Final Thoughts: Turning Practice Into Progress

The ACT Math section isn’t about being a human calculator—it’s about strategy, pacing, and knowing where to focus your energy. By targeting high-impact topics, practicing under timed conditions, and using mistakes as learning tools, you’ll build the skills to tackle even the toughest questions. Remember, consistency is key: Even 20–30 minutes of daily practice can lead to significant improvements. Now grab that calculator, hit the books, and get ready to crush this test!

[geniustut]

Are you preparing for the CAT exam but running out of time? If so, don’t worry! With the right rapid revision techniques, you can boost your CAT score even in the last few weeks. In this article, we will discuss effective strategies to help you revise efficiently, improve accuracy, and maximize your score.

For those looking for the best online course for CAT in Delhi NCR, Genius Tutorials offers structured CAT online coaching in Delhi NCR to help students with last-minute preparation and revision.

Why is Rapid Revision Important for CAT?

The Common Admission Test (CAT) is one of the toughest MBA entrance exams. It tests your Quantitative Aptitude (QA), Verbal Ability & Reading Comprehension (VARC), and Data Interpretation & Logical Reasoning (DILR). Given the vast syllabus, smart revision is essential to retain concepts and improve problem-solving speed.

A well-planned revision strategy can help you:

Strengthen weak areas Improve speed and accuracy Boost confidence before the exam Reduce last-minute stress

With limited time left, focusing on effective techniques will make a significant difference.

Top CAT Rapid Revision Techniques

1. Focus on High-Weightage Topics

Not all topics carry the same weight in CAT. Therefore, prioritizing important topics will maximize your score.

Quantitative Aptitude (QA): Arithmetic, Algebra, Geometry, Number System DILR: Logical Puzzles, Tables & Graphs, Seating Arrangement VARC: Reading Comprehension, Para Jumbles, Critical Reasoning

By concentrating on these areas, you can improve accuracy and solve more questions within a shorter time.

2. Revise Shortcut Tricks & Formulae

Rather than solving new questions, focus on shortcut tricks and formulas for quick problem-solving.

Keep a formula sheet for:

Time & Work Percentages & Profit-Loss Permutation & Combination Logarithms & Surds

Tip: Solve at least 10–15 questions from each topic to reinforce concepts.

3. Take Timed Mock Tests

Mock tests are an excellent way to simulate real exam conditions. Practicing full-length and sectional mocks will: Improve time management Identify weak areas Enhance exam confidence

With Genius Tutorials’ CAT preparation coaching in Delhi NCR, you get expert-designed mock tests to analyze and improve your performance.

4. Analyze Previous Mock Tests

Instead of only taking new mocks, reviewing past tests is equally important. It helps you: Recognize patterns in mistakes Identify topics that need improvement Learn from errors and avoid repeating them

Pro Tip: Maintain a mistake logbook to track and revise tricky questions efficiently.

5. Practice Question Selection Strategy

Managing time effectively in CAT is crucial. A structured three-round approach can help you decide which questions to attempt first.

1 Easy Questions (Solve first) — Secure quick marks 2 Moderate Questions (Attempt next) — Solve if time allows 3 Difficult Questions (Skip if needed) — Avoid time-consuming problems

This strategy will maximize accuracy and overall score.

6. Improve Reading Speed for VARC

The VARC section consists of RC passages that require fast reading and comprehension skills.

Practice speed reading techniquesSummarize articles in one sentenceSolve 3–4 RC passages daily

By improving reading speed, you can attempt more questions with accuracy and boost your verbal score.

7. Stay Calm & Avoid Last-Minute Cramming

Last-minute preparation should focus on light revision rather than cramming new concepts.

Avoid learning new topics Revise important formulas and strategies Get proper sleep before the exam

A fresh mind is your biggest asset on exam day!

Best Online Course for CAT in Delhi NCR

For those searching for CAT coaching near you in Delhi NCR, Genius Tutorials provides the best CAT exam online coaching in Delhi NCR with:

Live & Recorded Lectures for flexible learning Expert Faculty with years of experience Mock Tests & Sectional Practice for real exam simulation Personalized Mentorship to track progress

Our CAT online classes in Delhi NCR ensure effective last-minute preparation, helping students crack CAT with confidence.

Join the best CAT coaching near you in Delhi NCR today and boost your CAT score!

Conclusion

Acing the CAT requires smart strategies, consistent practice, and confidence. By following these rapid revision techniques, you can optimize your preparation and performance in the exam.

Ready to ace CAT? Enroll in Genius Tutorials’ CAT preparation online courses in Delhi NCR for expert guidance and 100% exam success!

Start your CAT revision today and secure your dream admission!

Originally published at https://www.geniustut.com on March 11, 2025.

[math-journal]

Algebra 1 — here — Next

Intermediate Algebra

Cheat Sheet

Rational Expression Properties, Exponential Properties, Radical and Fractional Properties, Complex Numbers, Quadratic Equations, Function Operations, Exponential and Logarithmic Functions, Parental Functions

UNIT 1

Functions

Introduction

Vertical Line Test

Translating Function aka shifting

Domain / Range

Interval Notation

Radicals

Basic

Simplify / Multiply

Addition/Subtraction

Foil/Factor Solving

F*ck off

Imaginary

Imaginary/Complex Numbers

Solving with Imaginary Numbers

Problem #1

Problem #2

Note: sometimes I write side-to-side rather than up-and-down while solving certain questions for ease. By math conventions, this is frowned upon. Stick to vertical orientation

Unit 1 REVIEW

.

Unit 2

Factoring Trinomial (R)

Sum of Square - Difference of Square (R)

2nd Degree Trinomial

3rd Degree Trinomial

Completing the Square

Quadratic Formula

Quadratic Function (parabola)

Flipping shortcut

Graphing Quadratic Functions

Standard to Vertex Form

Overview

Unit 2 Review

.

Unit 3

Decay and Growth Functions

Intro to Log + Properties

Common & Natural Log

Application Problems

More examples

3 Ways Solve Logs

Say Shit Outloud

Complicated Log / In

Log Property Cheat Sheet

Log Application Prob

Log Tricks

Domain/Range Fraction F(x)

Restrictions

Fractions + Restrictions

More Application

Canceling Review

Unit 3 Review

.

Unit 4

Review

Function Operations

.

[admissify-blog]

How to Score well in GRE Math | Syllabus, tips, and more

The GRE Quantitative thinking segment tests your fundamental numerical abilities and ideas. So you don't have to stress over cutting-edge mathematical questions like analytics. You ought to get a proper insight into polynomial math, likelihood, and so forth. Know what the GRE math prospectus is. Then you may get into the tips to expert this segment, says Best Overseas Education Consultant in Delhi. We should begin!

What is the GRE math schedule?

Calculations: This incorporates subjects like triangles, circles, lines, and points, Pythagorean Theorem, polygon, quadrilaterals, and so forth. It tests you on questions like region, border, volume, and considerably more.

Mathematics: Here, the points range from number juggling activities to the properties of numbers. GRE likewise tests you on ideas like proportion and extent, rate, number line, a succession of numbers, insights, assessment, and so on.

Algebraic math: Besides variable-based math, you may discover a variable-based math question blended with another idea. Like, direct and quadratic conditions, disparities, calculating logarithmic articulations, charts of captures, the incline of lines, imbalances and capacities, word issues, and so on.

Information Analysis: The information investigation area comprises ideas rotating around imagining or deciphering information. The inquiry structures can go from bars, diagrams to dissipate plots and histograms, says Best overseas education consultants in Delhi for UK.

These four regions include the GRE math schedule. Additionally, the inquiry type fluctuates. According to the best UK education consultants in Delhi, there are four inquiry types that you would find in this part.

These include:

· Quantitative Comparison

· Numeric Entry

· Various Choice – Select One Answer

· Various Choice – Select One or More Answers

Presently you have a general thought of what the GRE math schedule is. It's time we move to some normal slip-ups that individuals make. Stay away from these mix-ups to score 170 in GRE.

According to the best UK consultants in Delhi, Avoid these basic missteps.

Estimation mistakes (particularly the super-senseless ones!)

Do you address an inquiry effectively denoting some unacceptable answer? Or then again ascertaining what not got posed in the inquiry?

This load of things goes under senseless errors. You can stay away from them by being somewhat mindful. Peruse the inquiry cautiously, and a large portion of the issue gets addressed. Likewise, ensure you adjust the appropriate responses accurately whenever asked, says study abroad consultants in Delhi.

Theoretical

These missteps typically happen when you don't know about your ideas. It may land you in a difficult situation. Students frequently commit such errors in information examination and calculation.

Ensure you don't accept whatever isn't given in the inquiry. Likewise, being intensive with the formulae will do ponders. You can do this by making a formulae sheet to retaining them.

You will likewise go over some curved inquiries that will make you scratch your head. Focus closer on the subtleties of such inquiries and record whatever gets posed in the inquiry, suggests Study Abroad Consultant.

GRE Quant: do's and don't

Practice

No one turns into an overnight achievement. You ought to endeavor to break this test. It can get you into your fantasy college.

Plan your GRE planning, make a timetable, and stick to it. Separate your arrangement into little pieces. Then, assign your chance to each segment and each idea. Be reliable with the arrangement you make for yourself. Continue to overhaul whatever you have learned.

Allude to past test papers to comprehend the test design. Try not to worry about stepping through the fake examinations, says study abroad consultants Guwahati.

Get familiar with the craft of disposal

In case you are stuck at an inquiry, you can have a go at utilizing the end technique.

Utilize the disposal technique while addressing the MCQs. Maybe then tracking down the correct answer, search for the erroneous responses to kill them.

Make a blunder sheet

It is OK to commit errors as long as you gain from them. While planning for GRE quant, make a blunder sheet.

It is a successful method of learning and causes you to remain alert. Record your advancement and notice your shortcomings. Additionally, run after limiting them.

Learn using time productively

Using time productively is urgent assuming you need to expert the GRE quantitative segment, says best study abroad consultants in Delhi.

You get two quantitative thinking segments with 20 inquiries each. You need to finish each segment quickly. It implies you have under 2 minutes to address each question.

The end

You can get a far-reaching manual for pro your GRE on admissify.com. It consists of video addresses, tutor support, mock tests.

On the off chance that you need some help or for any abroad study scholarship, connect with Admissify on WhatsApp (09999127085). We'd be eager to assist!

[allmathtricks]

In this video tutorial explained about logarithm applications with examples and solutions based the logarithmic formulas

[mikelikesscience]

Cheat Sheet (Skit)

I remember gearing up for my PreCalculus final. My study squad and I were stressing. Logarithms, Quadratic Equations, Slope Formulas, Polynomial Functions, Inverse Functions, Exponential Functions, and the list of things to remember for the exam goes on. It’s so much!

But all of that was about to change. For our last class before the test, our instructor made an announcement. She said that we could write our own Cheat Sheet...one page...front to back! 

She received a standing ovation. And in that moment, I knew I had to derive a video from that experience.

So here’s to Cheat Sheets.

Oh and we all passed the class 😁

[Mike Likes Science: youtube & instagram]

[labcoatsandcalculators]

How to Master the AP Biology Grid-Ins

As I’ve mentioned in a previous post, the grid-ins on the AP Biology Exam are an easy way to get 6 points. In this post, I’ll be explaining how you can achieve these points just by knowing a few concepts.

1. Review the formula sheet and make sure you know how to use every formula on there: Most of the formulas on the equation sheet actually aren’t ever used, but it is good to know them just in case. If a formula confuses you, Bozeman science has a good video on the formulas on Youtube.

2. Pay close attention to Hardy Weinberg, Chi-Squared, and Genotype Problems (Ex. If two adults have the genotypes Aa and aa, what is the probability that their children will have the genotype aa?).

3. Review smaller concepts like Water Potential and Gibbs Free Energy (optional): These concepts most likely won’t be on the grid-ins, but they’re fairly easy to learn, so it wouldn’t be a bad idea to know them just in case.

4. Be comfortable with graphs: You should know how to read and interpret graphs (usually line and bar graphs). This would include being able to identify certain data points, finding the slope (if it’s a line graph), etc.

5. Be comfortable with basic math: I’ve only seen one equation on the equation sheet that may be odd to some: pH. pH requires the use of logarithms, but most calculators have that function and I’ve never seen a question on a test that requires you to find the pH. All the other formulas require basic math like adding and multiplying.

6. Practice them: I’m not saying that you should devote all your time to practicing these grid-ins (because the other portions are far more important). However, you should still devote around 20 minutes to this section by looking up tests and just practicing the grid-ins. You should not put in too much time to the grid-ins. Just make sure you are comfortable with all the math behind it.

[khaelisfics]

Short Soumate AU - the concept was “your soulmark is a reference to what your soulmate likes the most”, and I rather liked it!

Tagging @doctorroseprompts, in case this can fit into a prompt!

I hope you’ll like it! :-)

He had scoured every modern art museum, every ephemeral exhibition throughout the country, combed through thousands of websites about painting, drawing, sculpting, bought hundreds of magazines and books about the subject. No name, no face he had encountered had caused that spark he was desperately looking for.

He tossed his ticket in a nearby bin, annoyed and disappointed he hadn’t found her in that tedious expo in a dark corner of London. Listening to wrinkled man on the verge of falling asleep each time he stopped talking in that monotonous crow had put his patience to the test. Looking at depressing paintings about death and phantasmagorical creatures made by an artist who obviously didn’t know black and grey weren’t the only colours that existed hadn’t helped. Maybe it wasn’t a bad thing he hadn’t found her there, actually. He didn’t know what he would feel if his soulmate happened to be a deranged woman fascinated by necromancia and festering cadavers.

A liquid shiver rolled down his spine at the thought, and he hurried to take out his list of current exhibitions he needed to go to.

“Nope to Nighthorses 66, then,” he mumbled under his breath, crossing the name of the exhibition with the pencil he always kept in his pocket. “Next is… S.C.M. Just hope this doesn’t stand for super creepy monsters."

He shoved his quickly shortening list back into his pocket and headed for the nearest underground station. It was already quite late in the afternoon, and he knew he should call it a day, head back home and get a full night of sleep if he didn’t want to doze off over his desk the morning later. But he also knew the disappointment and frustration of not making any progress, the longing he felt to finally find her growing into some kind of unhealthy obsession only predicted long hours spent tossing and turning in his sheets without finding Morpheus’ comforting embrace.

He took a quick look at his watch, ignoring the soulmark on his arm as if it’d just been a cheap tattoo he would forever regret, and made his decision. He hopped out of the train a few stations later, didn’t look twice at the large mural on the wall he had learnt a few years back had been painted by a foreign young artist, and made his way up the stairs. He was getting tired to try and see her where she wasn’t. A sticker on lamp post with a cartoonish drawing. Crass tags in back alleys, elaborated frescos on iron curtains. Street traders who sold ridiculously expensive prints of artworks stolen on the Internet. Everywhere he looked, he was tempted to believe it was her, and every time, he was a tad more disillusioned when he found out it wasn’t.

His worn chucks squished on the wet pavement as he made his way to one of his favorite places. It was a cramped bookshop in the corner of an ever-deserted street he had discovered the first time he had moved in this part of the city, rather by accident than real intention, and he came back to it every week, some weeks every day. It wasn’t as much the books as the owner that always brought his steps back to that small shop that smelled of yellowed paper and dust. Rose, was her name. A young woman with honey-eyes and wheat-hair, full lips and round nose. He knew she was just his friend, but sometimes, he wished his soulmark could be a small pile of books, or a meaningful quote from her favorite author - not that odd-shaped moon that belonged in a Van Gogh painting. His soulmate was an artist, not a bookworm. Not the woman he had dreamt of so often he believed he must have broken a hundred rules and, though unwillingly, cheated on his real soulmate on several occasions. Not Rose. Never Rose.

The small bell chimed when he pushed the ancient door open and the sound of his steps died on the heavy carpet. She was nowhere in sight - probably in the cellar she called a storage room, or in the broom cupboard she called an office. She would eventually pop out, like she usually did whenever the bell rang. His feet took him to the only alley he was interested in, and he picked up an old encyclopedia that had lost a bit of its varnish. He had always wanted to buy this book, but it almost was a relic, and not only did it look like it, it was also worth it. He sifted through random pages, smiling at the centuries-old mathematical formulas and theorems that had long been replaced by more precise, and especially more valid ones.

“You should buy it before it’s gone.”

He hurried to slide the heavy book back in its space at the sound of her smiling voice and twirled on his feet to greet her with a smile of his own.

“Rose, hi, how…” he started before his mouth gaped open and his voice died in his throat.

He first noticed the dark blue apron she was wearing over her eternal oversized jumper. Then he spotted the pencil she had stuck behind an ear. And he finally understood the multicoloured stains dotting and streaking the apron were paint. That wasn’t right. Rose loved books. She was a bookseller. Not an artist. He would know if she were, after so much time spent sharing coffees and pointless conversations. So much time spent wishing she could be the one.

“Fine, if your question was how are you,” she giggled, wiping her hands on her apron so she could give his shoulder a friendly slap without harming his pinstriped jacket. “How are you?”

“I, uh, yeah, good, I suppose,” he nodded - he found his voice again when he managed to ame his heart hammering against his ribs. “What are you doing with all that equipment?”

“What does it look like I’m doing, John?” she taunted as she motioned for him to follow her through the maze of crammed corridors. “I was about to close, I didn’t think anyone would come so I just started working on a little something. D’you wanna sneak a peek?”

“You never told me you liked painting,” he said, almost reproachful.

“You never asked.”

She led him to the door that was plastered with a large sticker that read storage, offered him a shy smile and pushed the door open with a finger.

He couldn’t move. Instead of a dark, small room filled to the brim with rows of old books, he saw a bright, large space void of anything. Anything but paintings, hanging on the walls, haphazardly propped up against the walls. Colours bursting out of the canvas like fireworks, fiery landscapes and smooth still-lives, abstract shapes that made him feel so many things at once his heart flew to his throat, meticulous portraits of people she probably knew given the depth and the familiariaty that oozed from the faces. She was painter. A very talented painter. An artist. Rose was an artist.

“I wanted to show you the one I’m working on,” she said as she strutted towards her easel that was directed towards the window, unaware he was staring a her as if she’d just turned into one of the monsters he’d seen at the weird exhibition. “I think… You’re the expert, maybe you can tell me if I did it right?”

He could only nod even though he barely heard her words and watched, speechless and on the verge of collapsing under the weight of the unexpected revelation. Rose was an artist. She turned her easel towards him, and what he saw made his stomach twist into tight and uncomfortable knots.

“That’s a golden spiral,” he said, running a feverish hand through his spikes of hair. “Logarithmic spiral, it’s… Maths.”

“Yeah, I know,” she smiled, a quivering smile that lacked its usual enthusiasm. “Does it look… Dunno, accurate?”

“Accurate isn’t the first word that came to my mind,” he said softly, taking a few steps towards the painting to let his fingers hover over the snake of yellow and soft orange. “This looks beautiful, Rose.  Why did you paint this?”

“‘Cause I found out…’ she started, sheepishly rocking on the ball of her feet. “What my soulmark is. I didn’t want to know, because I’ve always thought I would meet my soulmate whether I knew or not. But then… I mean, you came along and you made it really hard to resist the temptation.”

“What’s your soulmark, Rose? Please, show me.”

He held his breath as she slowly rolled her sleeve up her arm, stared at her pale skin covered with lines and lines of tiny numbers from her wrist to the crook of her elbow. He wanted to scream his joy, cry his relief, he wanted to hug her and kiss her and let his whole body and soul finally love her. But he simply blinked and swallowed it all down. She had never told him about her mark. She had never wanted him to know, and she probably had a hundred good reasons not to tell him.

“That’s the Fibonacci sequence,” he told her, unconsciously tugging on his own sleeve to make sure she wouldn’t see his mark. “It’s… My favorite sequence, actually.”

“I know,” she shrugged with an embarrassed twist of her lips. “I mean, I figured. You’ve bought several books about that sequence from me, you know. Doctor Smith, clever scientist and mathematician and all.”

He noticed the dejection in her voice, the way she gently kicked the foot of her easel and lowered her eyes to the carpet. He was hurt, deep and violent, that she didn’t seem to want any of what he had to offer, but that didn’t make him any less indifferent to her own pain. He slipped a finger under her chin to catch her eyes and give her a gentle look she didn’t want.

“Talk to me, Rose,” he said softly, fully cupping her cheek when she started to bow her head again. “Tell me what’s wrong.”

“I know you’ve got a bit of Starry Night on your arm,” she answered with a sharp nibble on her lip. “I know that… You would have found out I like painting, sooner or later.”

“Why wait until now, then?” he asked, befuddled by the tears that started to roll down her cheeks. “Rose, I don’t understand, what’s wrong?”

“Look at me, John,” she sighed, swatting his hand away from her face. “Look at me and tell me I’m the soulmate you’ve always wanted. Tell me I was made for you. Tell me you can ever love me. I don’t want you to think I’m the one is all. There has to be someone else for you, John.”

They matched. He didn’t understand why she refused to see it, refused to believe it, refused to accept she could be his soulmate. They matched. That’s all he understood. Her mark was a mathematical sequence. His mark was actually borrowed from a Van Gogh painting. They matched. And he had fallen for that woman so long ago, To know he had already learnt everything he loved about her, to know she was the one. That left no room for tears or unhappiness.

Despite her protests, he cupped bot her cheeks again and hurried to press a soft, lingering on her lips before she could draw back. Rose was an artist. Rose was the one.

“You’re the one I’ve always wanted,” he whispered, catching her lips between his again to steal her answer. “You were made for me, like I was made for you.”

“John…” she tried to complain, though she was slowly melting into his arms, little by little, a little more each time his hot breath caressed her chin and his lips danced against her own. “I’m not…”

“There’s no one else for me. You, just you. God, why did you have to wait so long, Rose, we’ve lost so much time. All that time spent looking for you when I had already found you. All that time spent pretending I didn’t love you when I could have shown you how much I do. “

“You do?” she breathed out, pulling away to see that truth in his eyes.

He only sat on her stool and pulled her sitting over his lap, his mouth hungrily looking for those lips he wanted to devour, his chest pressing hard against that body he wanted to touch, his heart reaching out for that shared loved he wanted to drown into. Rose wasn’t just an artist. She was his soulmate.

[learntheta]

CAT Quants Approach: Aiming for the 99%ile

The Best CAT Quants Technique For A 99%Ile

Do you want to know how to prepare for the CAT Quants to achieve the 99 %ile? Let's get you going now.

The most often taken portion of the CAT is quantitative aptitude. This section either makes you love it or loathe it. There is no middle ground. This component is typically significantly simpler for engineers than the other two. To all non-engineers or anyone who feels frightened by this portion, I would like to say that it is the simplest section to enhance. There is a laid-out syllabus that covers many subjects that we all covered in classes nine and ten. The applied concept is the same; nevertheless, some topics, such as Numbers, PNC, and Algebra, may differ. The Quant part of the CAT also has the highest average score, with some learntheta.com students even getting 102/102 in the CAT'19. (3-hour cycle)

The Problem with CAT Syllabus

The most significant subjects (based on weight):

• Mathematics ( 8-9 Questions)

• Calculus (5-6 Questions)

• Mathematics (5-6 Questions)

Other crucial subjects:

• Numbers (1-3 questions, however, this topic will serve as your foundation for all others; some of the concepts you learn here will be useful for both Quantitative questions and some DI sets);

• Series, logs, P, and C; (3-4 Questions)

• Unspecified (1-2 Questions)

Many of the chapters are quite basic and only require a quick review. You can anticipate 1-2 questions every chapter from a subject like Logarithm and Series, which is thought to be rather straightforward. Consequently, the task at hand is to recognize the significance of each topic. At learntheta.com, our curriculum is really good. Many times, students have contacted us to say that they had questions that were directly related to what we had taught them.

Practice Questions for Revision-Needed Topics for CAT Quants

The proper application of concepts is crucial during the learning process, followed by practice to help you feel at ease with the subject. Start using the timer-based practice once you feel at ease with the topics. Giving a mock Quants test is the first step in determining the topics that need review. The subjects you struggle with become extremely obvious after two or three examinations. Now let's talk about how to study the subjects you struggle with. The exam alone would not be sufficient. After the exam, a thorough study should be conducted to determine whether a certain sum could not be solved because of a lack of understanding regarding the subject or is it because you forgot a relevant formula.

The only difference is that in our learntheta.com CAT Quant Classes, we strictly emphasize the proper application of concepts rather than learning new ones. learntheta.com We break down our quantitative sessions into 30% concept learning and 70% application. Later, we have you practice those concepts to help you feel more at ease.

How to Get Ready for Your Weakest Subjects

The learntheta.com classes address quantitative topics in great detail. However, if you want to work on it independently, it's best to tackle each issue separately. Keep a guidebook or your cheat sheet close by as you review the topics. Tests broken up by subject are required to determine proficiency.

Exam results and training

Initial scores in quants are supposed to be lower because that is when students are still learning. The accuracy and speed improve with continued practice. Regular quant practice is essential, and the learntheta.com Facebook group offers that practice. In quants, precision is typically a problem. Both simple and complex Quants questions have historically been included in the CAT exam. The paper would be a piece of cake as long as the fundamentals are solid.

Process Of CAT Mock Exams: Key To CAT Quant Strategy

·        Take A Mock Exam

·        Take A Mock Exam

·        Analyse Where You Struggled

·        Write Those Areas Down

·        Then Practise 30 To 50 Questions On It. 

·        Take A Topical Test Or A Sectional

·        Analyse Where You Struggled

·        Write Those Areas Down

·        Then Review Those Themes Again.

Repeat Mode On until 90% accuracy is achieved

In quants, accuracy is essential. If you attempt 15 questions in 40 minutes with 90% accuracy, you'll receive a score of 42+, which may be sufficient to achieve a quantile above 99%.

Taking the Quants Section Exam

The paper can be solved in a variety of ways. The typical approach is to scan the paper and identify the simple questions. Students frequently begin answering the first question and save the difficult or lengthy ones for last. Usually, after solving a VARC section and a notoriously challenging LRDI portion, people are exhausted when they reach this section. The goal is to address as many problems as possible, not to miss out on the easy ones.

Ask questions on the learntheta.com site if you have any during the solving process, and we will assist you.

Expert Advice: Since the questions submitted in groups are random and help you to some extent prepare for the CAT, solve as many of the questions posted in CAT Preparation - learntheta.com group or learntheta.com Paid group as you can. If you don't remark, at least try to solve it.

Your CAT Quant Strategy Should Include Doubt Clarifications

Getting all of your questions answered is the most crucial thing you can do for yourself. The issue with not getting your questions answered is that they pile up. When you realize this, there has already been a significant delay. No matter what time of day or night you ask your questions, learntheta.com is the best in doubt clarifications since we guarantee that they will be answered in 30 minutes or less.

The Quants of D-Day Paper

Both an easy and a hard quants component have historically been included in the CAT exam. The person who maintains composure to complete the final CAT question correctly succeeds. A scaled score of 72% on the CAT's 2017 quantitative section earned a student the 99%ile, whereas, in 2018, that same achievement required a score of less than 58%. because of learntheta.com The syllabus for the last CAT 2022 batch, which will begin this coming week, will be completed by October in terms of Concepts, Applications, and Practice, but Mocks will only begin in July. Although it is advised for those just starting to begin taking mock exams once 60% of your course has been completed. Finally, it is enhanced by the CAT Crash course where we work on speed, and shortcuts and revise everything in the last 2 months. 

[data-structures-cheat-she6h]

data structures cheat sheet work ZSQF+

💾 ►►► DOWNLOAD FILE 🔥🔥🔥🔥🔥 We summarize the performance characteristics of classic algorithms and data structures for sorting, priority queues, symbol tables, and graph. This cheat sheet uses Big O notation to express time complexity. For a reminder on Big O, see Understanding Big O Notation and Algorithmic Complexity. Know Thy Complexities! · Big-O Complexity Chart · Common Data Structure Operations · Array Sorting Algorithms · Learn More · Get the Official Big-O Cheat Sheet. GitHub - tajpouria/algorithms-and-data-structures-cheat-sheet: A brief overview of common algorithms, data structures, and problem-solving patterns. 9 Algorithms and Data Structures Cheatsheet We summarize the performance characteristics of classic algorithms and data structures for sorting, priority queues, symbol tables, and graph processing. We also summarize some of the mathematics useful in the analysis of algorithms, including commonly encountered functions; useful formulas and approximations; properties of logarithms; asymptotic notations; and solutions to divide-and-conquer recurrences. The table below summarizes the number of compares for a variety of sorting algorithms, as implemented in this textbook. It includes leading constants but ignores lower-order terms. The table below summarizes the order of growth of the running time of operations for a variety of priority queues, as implemented in this textbook. It ignores leading constants and lower-order terms. Except as noted, all running times are worst-case running times. The table below summarizes the order of growth of the running time of operations for a variety of symbol tables, as implemented in this textbook. The table below summarizes the order of growth of the worst-case running time and memory usage beyond the memory for the graph itself for a variety of graph-processing problems, as implemented in this textbook. All running times are worst-case running times. Here are some functions that are commonly encountered when analyzing algorithms. Here are some useful formulas for approximations that are widely used in the analysis of algorithms. Here are some examples. Last modified on August 06, All rights reserved.

[bitcoinminershasrate]

Top 5 Free Best App for solving math problems

App for solving math problems - Free Best App for solving math problems - The math is not your strong point and looking for a tool that can help you understand it better? Would you like to rely on technology to solve mathematical expressions and geometry problems? Would you like to install applications on your mobile device that show you the solution of the equations step by step? No problem. In fact, with today's tutorial, I will show you some of the best apps for solving math problems that you can install on your smartphone or tablet to improve your understanding of this subject and solve the most common problems related to it. There are numerous solutions of this type: there are apps that allow you to find the result of expressions simply by framing them with the camera of your device, others that allow you to find the answer to financial math problems and there are even web applications that work directly in the browser. . If your desk is flooded with unsolved problems, what else are you waiting for? Take five minutes of free time to read the next few paragraphs carefully and see which of these apps can be right for you. But please, use them only to study better and not to make your life easier without committing yourself!a Free math problem solving app Let's get straight into the guide by seeing some free math problem solving apps . You can find them listed below. Photomath (Android/iOS/iPadOS) Among the best solutions that it offers you today there is Photomath , an app for solving average math problems (and not only), which allows you to find the solution of algebraic expressions, linear, quadratic and absolute equations / inequalities, systems of equations, logarithms, exponential and logarithmic functions, derivatives, integrals and much more. It is available for Android devices (you can check its availability on alternative stores, if you have a device without Google services) and iOS / iPadOS . Basically it is free, but to access in-depth mathematics explanations, a subscription is required starting at € 10.99 / month. After installing and starting Photomath, select the interface language (eg Italian ), press the Let's go button and scroll through the information sheets that show you how it works; then press on the Done item (alternatively, you can also press on the word Skip , if you want to skip this step). Before using the app, specify your age , press the Next button , indicate if you are a student , a parent or a teacher and tap the Done button . Afterwards, grant Photomath all the permissions it needs to work. One of the main functions of Photomath, the one that in fact made it famous, is the one that allows you to solve mathematical expressions framing them with the camera. To do this, frame the expression of your interest, making sure that it is well focused in the box in the center of the screen, press the shutter button and, if everything went well, it will appear on the display of the device in use in digitized form. Almost immediately, the result of the expression will also be shown: by pressing on the item Show the steps of the solution , you will be able to see information about the resolution of the problem posed, some explanations on how the expression was solved and, moreover, by pressing on the various steps you will also be able to see all the mathematical rules that have been applied, with detailed explanations that will help you review some fundamental concepts. If desired, Photomath also allows you to solve expressions by typing them "manually". To do this, press the Calculator button and, through the new screen opened, write the expression using the numbers and mathematical symbols you see on the screen. Also in this case, the calculation will be made almost instantly and you will be shown all the steps and explanations of the case. Convenient, right? Solve Expressions (Android / iOS / iPadOS) A solution to consider to solve numerical and literal expressions, even with fractions and powers, is Solve Expressions , which is available for Android (you can check its availability on alternative stores, if you don't have access to the Play Store) and for iOS / iPadOS and allows you to solve numerical and literal expressions, with fractions and powers, showing the various steps that lead to the resolution of the mathematical problems posed. It needs an active Internet connection to work. After you have installed and launched Solve Expressions on your smartphone or tablet, all you have to do is press the Write an expression text field at the top of the screen. Then you have to press on the button with the arrow pointing to the right (top right). When writing the expression, it will be useful to know that you can call up the dedicated keyboard by pressing the blue button (top right). After writing the expression and pressing the arrow, you will be able to see the various steps that lead to the solution of the problem on the screen you are in, under the heading Resolution . Simple, right? More apps for solving math problems In addition to the solutions proposed in the previous paragraphs, there are other apps for solving math problems that you can consider. They allow you to view the result of the problems and, sometimes, also to access forms to quickly find the formula useful for the calculation. - Microsoft Math Solver ( Android / OS / iPadOS ) - is a free solution from Microsoft, through which it is possible to perform mathematical calculations in a simple and fast way, both by framing the expressions to be solved using the camera of your device, or by writing them "manually" . - Free math formulas ( Android / iOS / iPadOS ) - app that does not propose the solution of the problem but helps to solve it. With Free Math Formulas, in fact, it is possible to access a form of mathematics, geometry, relations and functions and data and predictions, with a search function that allows you to quickly find the formula of interest. - OneMath ( Android ) - conceived by Italian developers, OneMath allows you to quickly solve complex calculations, solve numerical expressions, second and third degree equations, systems with two and three unknowns. In addition, it offers useful tools such as the triangle solver, the base converter and the matrix solver. - 6284 Calc ( iOS / iPadOS ) - “Don't memorize a formula in your life anymore” is the slogan of this application developed by a Californian student. 6284 Calc allows you to quickly find the solutions of mathematical problems, answering questions of algebra, geometry but also chemistry and physics. It costs € 2.29. Free financial math problem solving app Are you an economics student looking for free financial math problem solving apps ? Then take a look at the solutions proposed below: I am sure you will find someone suitable for you. Multifunction Calculator (Android) The first solution that I invite you to try is Multifunction Calculator , an app available only for Android (you can get it from an alternative store if you have a device without the Play Store) which, as the name suggests, is dedicated to various mathematical calculations. gender, including those belonging to the financial sector: from the calculation of the discount to that of loans, passing through that of VAT. Basically it is free, but by purchasing the paid version, which costs 4.29 euros, it is possible to remove the ads (not too invasive) present in the free version. After installing and starting Multifunction Calculator, press the No, Thanks button , so as to avoid seeing personalized ads based on your Web activity, and tap the Close this window button . Now, follow the short tutorial that informs you of the operation of the app, following the instructions you see on the screen. To make a calculation, then press the button (≡) (upper left), select the type of calculation you want to perform (eg. Calculator Off , Calculator Loan , calculator VAT , etc.) and compiles the proposed module with all the data necessary to perform the calculation (eg Loan amount , loan interest rate , additional price , discount , VAT , etc.) and, finally, presses the symbol (=) to proceed with the calculation. Calc Pro + (iOS/iPadOS) If you have an iPhone or iPad, the financial calculator app I recommend you try is Calc Pro + . It is a solution for iOS / iPadOS that allows you to use 10 different types of calculators, including one suitable for financial calculations, through which it is possible to calculate mortgages, loans, interest, break-even points, write-downs, compound interest, etc. . Basically it is free, but access to all functions requires the purchase of the paid version, which costs 8.99 euros. After installing and starting Calc Pro +, press the Free button and then the bulleted list symbol (top left), then select the word Financial . Now, press on the name of the calculation set by default (eg. Loan calculator ) and select the type of calculation of your interest through the menu opened at the bottom (eg. Mortgage , Compound interest , Profit margin , etc.). Once you have made this choice, tap on the word OK in the menu in question and fill out the form proposed with all the data necessary to make the calculation (eg Interest rate , initial value , etc.). Then press the Calc button and check the result. Simple, right? More apps for solving financial math problems If you're interested, check out these other apps for solving financial math problems as well and see if any of them might be for you. - Financial Calculator ( Android ) - this is an app for Android devices that includes a financial calculator (as well as a scientific calculator), by means of which simple interest, compound interest, simple interest, compound interest, can be calculated quite easily and quickly. exchange rates, various financial indices and more. - Financial Calculator ( Android ) - calculator suitable for carrying out financial calculations (VAT, simple interest, compound interest, etc.), which is available exclusively on Android and which has the interface translated into Italian. - Financial Calculator ( iOS / iPadOS ) - app that has the same name as the one mentioned in the previous point, but which in fact is developed by another software house and is only available for Apple devices. It costs € 1.09. - Financial Calculator ( iOS / iPadOS ) - is one of the best apps for making financial calculations on the App Store. It allows you to make calculations in a simple and intuitive way, thanks to its well-organized user interface. It costs € 3.49. App for solving math problems online I conclude the guide by talking to you about an app for solving math problems online, or about Risolviespressioni.it (Web version of a well-known app, which I also told you about in one of the previous chapters). This easy-to-use solution allows you to solve mathematical expressions and also deepen your knowledge of the theory through the section dedicated to theory. To be able to use it, connected to the home page of the site , write the expression to be solved in the text field located in the center, make sure that under the heading Preview the text of the expression is written correctly (otherwise make the necessary corrections) and click on the blue Solve button . In a few moments, you will be able to see the correct result and, in the Resolution section , you will also be able to see the various steps that were necessary to complete the calculation. I also point out that in the Lessons section , reachable by clicking on the wording at the top, you can study various topics concerning mathematics (eg criteria of divisibility , fractions , properties of powers , etc.). There are many other expression solving sites that might come in handy - check out my tutorial on the topic to find out more. Read the full article

[matlabassignmenthelp-blog]

A definitive guide on MathWorks Matlab to the students

MATLAB is elevated level, intuitive processing, perception, and programming language device. You can examine the information, plan the calculations, and build models and applications by utilizing Mathworks MATLAB. The language, applications, and inherent math capacities permit you to investigate different arrangements and discover an answer quicker than with the table sheets or standard programming dialects, for example, C/C++ or Java.

MATLAB can be utilized for different applications, including signal handling and interchanges, picture and video preparing, control frameworks, testing and estimating, PC fund, and computational science. In excess of a million industry and college specialists and researchers use Mathworks MATLAB, the language of programming methods. Matlab language encourages the understudy to finish their Matlab task without any problem.

A Guide to MATLAB

This book is a concise, situated prologue to Mathworks MATLAB, a strong maths and logical processing programming structure. This would be

Be helpful for new and propelled clients the same. Requires brevity

Clarifications of significant MATLAB orders and straightforward directions to utilize MATLAB's modifying devices, graphical abilities, and screen interfaces.

SIMULINK, Mathworks MATLAB accomplice for framework reproduction.

Applications of Mathworks MATLAB in mathematics

MATLAB is a code of high caliber for programming, specialized information, and representation. It fuses highlights for the turn of events, reproduction, displaying, prototyping of calculations, information investigation, examination, and perception capacities, making it probably the best apparatus for scientific activities. All things considered, with regards to controlling factual information, MATLAB utilized in a few unique ways. Here our task composing specialists examine a portion of MATLAB's most famous math applications that you likely don't have the foggiest idea. Peruse on for additional!

1. Linear algebra

MATLAB lets clients rapidly and effectively take care of complex straight arithmetical issues. Straight polynomial math is a piece of pretty much every work environment today. For instance, to gauge an organization's Return on Investment ( ROI), it must have people on board who have a careful information on polynomial math. A similar circumstance applies to anticipate the measure of turnover that the organization expected to have, to choose what number of things must be delivered, to settle on key choices, and to manufacture money related plans. Both these tasks require straight variable based math information heretofore, and Mathworks MATLAB is an extraordinary asset for contemplating and actualizing polynomial math. To figure out how to develop and gauge logarithmic articulations with MATLAB, contact our specialists in assisting with the MATLAB task.

2. Exploring mathematical theories

MATLAB gives an amazing strategy to test new speculations. This will permit mathematicians and analysts to utilize a "consider the possibility that" investigation when applied to science and measurements to make sense of whether a given hypothesis is reasonable. On the off chance that you might want to find out about how Mathworks MATLAB is utilized to test scientific theories, contact our MATLAB schoolwork specialists.

3. Simulation

Utilizing reproduction to test a procedure or item rather than a genuine option is an ideal method to spare time, limit producing costs, and improve the probability of thinking of a more fruitful arrangement. MATLAB empowers the formation of reproductions by mathematicians from multiple points of view.

Set the best measurable model for building reproduction

Construct point by point previews that show how the final result should function dependent on the reenactment

Show the item's work process utilizing diverse activity techniques, so that even the individuals who have no clue about how to utilize the innovation can see how it functions.

At the point when you have a venture that needs you to exhibit how Mathworks MATLAB is being utilized in the reproduction, reach us for help with MATLAB tasks.

4. Understanding mathematical concepts

Numerous understudies love learning new maths and playing with numbers. It is the motivation behind why such a significant number of numerical hypotheses and formulae are accessible to take care of issues today. MATLAB causes math darlings to play with numbers, learn new ideas, and make new hypotheses to perform numerical assignments. For more insight regarding how Mathworks MATLAB used to assemble hypotheses and permit individuals to connect more with science, work with our specialists in assisting with MATLAB tasks.

MATLAB is, as should be obvious, a phenomenal technique for mathematicians and one with which understudies ought to turn out to be truly familiar on the off chance that they mean to prevail in an analyst vocation. Matlab Assignment Experts offer MATLAB help to understudies battling with the activities of the subject and the individuals who need to make more opportunity for additional perusing. Bolster specialized scholastic assistance with our MATLAB task today.

5. Numeric Calculation:

Numeric Computation tends to numerical qualities and depends on estimations of the vectors and frameworks. This additionally utilizes PC illustrations, remembering computational calculations for vivid picture introductions.

6. Programming and development of the algorithm:

This significant level PC program considered for third-age dialects, for example, C, C++, and Java. You can utilize the vectors and grid activities to compose and make quicker projects. This will bring prompt outcomes.

Conclusion

Matlab is one of the biggest technologies in the market right now because it is easily performs mathematical operations like matrices and linear algebra. For better and faster, algorithm design Mathworks MATLAB is the best option. In this blog, we give you information about the uses of Matlab. We hope all of you understood the uses of Matlab. If you still have any doubts regarding this topic, then you can ask our experts. If you want any help regarding the Matlab assignment, Matlab programming help, Matlab coursework help, Matlab online help, and Matlab project help, then contact us.

[dhyeyaiasnoida-blog]

Maths as an Optional Subject for UPSC

- Calculus:

Subject matter provided by Dhyeya IAS Greater Noida-  Genuine numbers, elements of a genuine variable, limits, coherence, differentiability, mean-esteem hypothesis, Taylor's hypothesis with remnants, uncertain structures, maxima and minima, asymptotes; Curve following; Functions of a few factors; Limits, progression, incomplete subsidiaries, maxima and minima, Lagrange's strategy for multipliers, Jacobian. Riemann's meaning of unmistakable integrals; Indefinite integrals; Infinite and ill-advised basic; Double and triple integrals (assessment systems just); Areas, surface and volumes.

-Analytic Geometry:

Cartesian and polar organizes in three measurements defined by leading ias academy in delhi ncr, second-degree conditions in three factors, decrease to Canonical structures; straight lines, the most limited separation between two slant lines, Plane, circle, cone, chamber, paraboloid, ellipsoid, hyperboloid of one and two sheets and their properties.

-Ordinary Differential Equations:

Detailing of differential conditions; Equations of first request and first degree, coordinating variable; orthogonal direction; Equations of the first request however not of the first degree, Claimant’s condition, solitary arrangement. Second and higher request liner conditions with consistent coefficients, corresponding capacity, specific essential and general arrangement. Area request straight conditions with variable coefficients, Euler-Cauchy condition;

Strategies and arrangements provided by leading ias coaching in delhi ncr - Determination of complete arrangement when one arrangement is known to utilize a strategy for a variety of parameters. Laplace and Inverse Laplace changes and their properties, Laplace changes of basic capacities. Application to starting worth issues for second request direct conditions with steady coefficients.

-Dynamics and Statics:

Rectilinear movement, straightforward symphonious movement, movement in a plane, shots; Constrained movement; Work and vitality, protection of vitality; Kepler's laws, circles under focal powers. Balance of an arrangement of particles; Work and potential vitality, erosion, Common catenary; Principle of virtual work; Stability of harmony, the balance of powers in three measurements.

-Vector Analysis:

Scalar and vector fields, separation of vector field of a scalar variable; Gradient, difference, and twist in cartesian and round and hollow directions; Higher request subordinates; Vector personalities and vector condition. Application to geometry: Curves in space, ebb and flow and torsion; Serret-Furenet's formulae.

 Gatherings, subgroups, cyclic gatherings, cossets, Lagrange's Theorem, typical subgroups, remainder gatherings, homomorphism of gatherings, essential isomorphism hypotheses, change gatherings, Canley’s hypothesis. Rings, sub rings and goals by best ias coaching in greater noida, homeomorphisms of rings; Integral areas, head perfect spaces, Euclidean spaces, and special factorization spaces; Fields, remainder fields. Genuine number framework as an arranged field with the least upper bound property; Sequences, the breaking point of a grouping, Cauchy succession, the fulfillment of genuine line; Series and its union, supreme and restrictive assembly of arrangement of genuine and complex terms, improvement of arrangement. Progression and uniform congruity of capacities, properties of constant capacities on minimized sets. Riemann basic, inappropriate integrals; Fundamental hypotheses of vital analytics. Topics as per best ias academy in greater noida uniform intermingling, congruity, differentiability and integrability for arrangements and arrangement of capacities; Partial subsidiaries of elements of a few (a few) factors, maxima, and minima. Investigative capacity, Cauchy-Riemann conditions, Cauchy's hypothesis, Cauchy's basic equation, power arrangement, the portrayal of an explanatory capacity, Taylor's arrangement; Singularities; Laurent's arrangement; Cauchy's buildup hypothesis; Contour mix. Sort of things explained by top ias academy in greater noida straight programming issues, fundamental arrangement, essential possible arrangement, and ideal arrangement; Graphical strategy and simplex technique for arrangements; Duality. Transportation and task issues. Group of surfaces in three measurements and plan of halfway differential conditions; Solution of quasilinear fractional differential conditions of the primary request, Cauchy's strategy for qualities; Linear incomplete differential conditions of the second request with consistent coefficients, accepted structure; Equation of a vibrating string, heat condition, Laplace condition, and their answers. Numerical strategies: Solution of logarithmic and supernatural conditions of one variable by division, Regula-Falsi and Newton-Raphson techniques, the arrangement of straight conditions by Gaussian Elimination and Gauss-Jorden (direct), Gauss-Seidel (iterative) techniques. Newton's (forward and in reverse) and addition, Lagrange's interjection. Numerical reconciliation: Trapezoidal standard, Simpson's standard, Gaussian quadrature equation.

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CBSE Class 12 boards 2020: Last minute subject-wise expert advice for science students - education

With less than 2 weeks to go before the CBSE Class XII Board Exam begins, students from science background (i.e. PCM group) are now gearing up for it. Majority of them would have appeared in JEE Main 2020 (in January) and now their focus is to maximize their performance in the board exam. Here are few tips to help them tide over the next few weeks:* Understand the syllabus and make proper study plan: Assess the weight-age of different sections to decide the time to be devoted for revision. Practicing questions of 5 or 6 marks will certainly help.* Set Daily Target for studies: Set a daily target for studies, keep a note of it to strengthen your resolve.* Prepare revision notes: Make separate notebooks for theorems, formulae and methodologies. This will help you to read and quickly brush up the concepts.* Practice questions by yourself: Try to solve the questions by yourself in the 1 st attempt. If you are unable to do it, then refer to the solution or discuss it with your teacher.* Practice Full length Question Paper: It is a good way to mentally prepare and get exam ready. The more you practice and solve question papers the more confident you become.* Address your problem areas: Address your doubts the moment you encounter it, do not procrastinate.* Analyze your mistakes: It’s extremely crucial to spot and analyze mistakes if you do not want to repeat it in the actual exam.Subject-wise tipsMATHEMATICSThe new pattern introduced this year will comprise 80 marks for written exam and 20 marks for practical. There will be 36 questions divided into 4 sections carrying 1, 2, 4 and 6 marks respectively. A systematic learning is essential for Mathematics.* Follow NCERT books for building micro concepts of chapters. Practice solved examples and exercises.* Many a times questions asked are not the most expected ones. Hence cover the whole syllabus.* Devote more efforts on topics that you think you are weak and/or topics that you think are less interesting.* Solve and practice previous years question papers and also mock tests.* The most important topic where you can score is Calculus (weightage 35 marks). Focus on continuity and differentiability, logarithmic differentiation, high order derivative, increasing and decreasing functions, maxima and minima word problems, integration, area, differential equation* Algebra (Matrices and Determinants), 10 marks.* Relation and Function and Inverse trigonometric function (8 marks)* Vectors and three dimensional geometry ( 2 - 4 marks)* Linear programming has a weightage of 4-6 marks.CHEMISTRY* It is important to practice multiple choice questions and very short answer questions from NCERT exempler.* In Physical Chemistry, there will be numerical based questions, so write important formulae of each chapter and practice enough numerical.* While Attempting numericals:o Write formulae used.o Substitute the valueso Calculate and write final answer with units.* Attempt old board question papers and attempt mock tests within fixed time limit.Organic Chemistry* This is a scoring section but requires systematic revision. Typically the type of questions asked are :* Conceptual questions (reasoning based)* Conversions/Word Problem* Name Reactions* Distinction Test* Mechanism of reaction (as per NCERT)* A lot of practice is needed so try to solve as many questions as you can on a daily basis.* Don’t just read; write the solution yourself several times to develop that flow and gain speed and accuracy. Remember, balancing of reaction is not needed.* Most of the students ignore and/or do not revise certain chapters like Polymers, Bio-molecular andChemistry in everyday life. But these chapters collectively carry a weightage of 10 marks and henceone must devote some time to revise them.Inorganic Chemistry* In this section, questions that asked are based on:* Reasoning* Structure* Complete the reaction* p-block elements : Write all important reactions in a sheet and revise them on a regular basis.* d- and f- block elements : Revise and practice reasoning based questions; revise preparationstructure and properties of compounds like KMnO 4 and K 2 Cr 2 O 7* Coordination Compound : It’s an important chapter as different types of questions are asked.* Metallurgy : A wide variety of questions are asked hence revise thoroughly.* Attempt old board questions papers and attempt Mock test papers within a fixed time limit. This will help to develop exam temperament, flow and speed. Follow it up with few mock test papers just before the exam.Physics* Sufficient time must be devoted to revise lengthy chapters viz Electrostatics and Optics.* Practice few subjective questions like those based on Cyclotron, Magnetometer and other similar apparatus.* Do not neglect small chapters like Alternating Current.* You will have to be thorough with the following chapters :* Magnetic properties of materials* Semi-conductor* Diffraction* Polarization* Optical Instrument* Electromagnetic Wave and Communication System* While solving numerical type problems, draw diagrams and label different parts appropriately, ensurethat you are putting correct values and units.* The language for definitions should be original, altering them must be avoided.(Author Partha Halder is Centre Head of FIITJEE Punjabi Bagh Centre. Views expressed here are personal.) Read the full article

[allmathtricks]

Logarithm formulas sheet | log rules | Properties of logarithms | logarithm tutorial | logarithm tricks | logarithm problems for all class

[intellectys]

Algebra

Masterposts

Advice and tools by @thegrangersapprentice​

Tips and links by @stemnerd3​

Resource masterpost by @etudiance​

Logarithms by @allydsgn

Graph shapes by @codeorg

Resources

Algebra II Homework Help

Khan Academy

ProfRobBob

Math Worksheets Land Printables

MathDrills Worksheets

Algebra Calculator

Mathisfun

Purplemath

Mathway’s Algebra Calculator

Geometry &  Trigonometry

Masterposts

Resource masterpost by @etudiance

Some tips by @sundayscholar

Advice if you suck at geometry by @ballpenned

Cool trig gif post

Pythagorean formula explained

Resources

Hippocampus

Khan Academy (and trig only)

Geometry Dictionary

MathForum Info on Proofs

Geometry4Everyone

Math Fortress

Brightstorm

ProfRobBob (and trig only!)

Precalculus

Masterposts 

Resource masterpost by��@etudiance​

Final precalculus review by @studteaing

Precalculus review by @productivityjunction​

Rules for transforming functions

Resources

Precalculus Tips

Handouts and Notes

UC Irvine Videos

Huge cheat sheet

Khan Academy 

Trig identity hexagon

ProfRobBob

Precalc class on EdX

Cheat sheet for dummies

Calculus

Masterposts 

How to study calculus by @sundayscholar

AB calculus resources by @intellectus (#spon oops)

Studying for college math (emphasis on calculus) by @hexaneandheels

AP calculus tips by @kingdomstudies

Guide to calculus BC by @scolasticus

Resources

How to Succeed in Calculus

Krista King (the b e s t)

Calc AB Study Guide

CliffsNotes Calculus

Paul’s Calculus Notes

WOWMath Worked Free Response

Mr. Calculus

Cool Calc Cheat Sheet

University of Houston Calc Guide

ProfRobBob

Statistics

Masterposts 

How to Study Statistics by @study-well

Scanned stats notes by @mildstudies

AP by Michelle

Killer stats notes and pdfs by @communitystudy

Resources

1st Semester Study Guide

Formula Sheet

AP Stats Tutorial

CourseNotes

Another formula sheet

ProfRobBob

Online statistics calculator

CourseNotes

General

Great tips by @hexaneandheels 

Process of studying math by @doitforthea

More study tips by @study-hack​

Amazing math masterpost by @studybuzz

Tips for studying math by @studyign

This incredible resource blog: @themathblrs

Best of luck with your mathematics!! Hopefully seeing this post is a good sine for the future. 

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