What is rugaf | Websites, Courses, Videos, and Books?

rugaf manages 5 data types including categories. Helps you organize, track, and share your work in 1 place for teams and solo users.

Calculus & Analysis

Dive into the world of "Calculus & Analysis," where the intricate dance of functions, limits, derivatives, and integrals come to life. Explore a rich array of topics, from fundamental concepts of differential and integral calculus to advanced theories in real and complex analysis, designed to sharpen your mathematical intuition and problem-solving skills.

🔥 Trending Now

Course

Learn Calculus (Best Online Course) - Solved examples

Mastering Calculus: From Derivatives to Differential Equations!Are you ready to conquer the challenging world of calculus with ease? This comprehensive course is designed to guide you through the fundamental concepts of calculus, including derivatives, differential equations, integration, and their practical applications.In this course, we will break down complex topics into simple, digestible lessons. You'll start with understanding derivatives, learning how to differentiate various types of functions and apply these skills to solve real-world problems. We'll explore the power of derivatives in analyzing and optimizing functions, providing you with practical tools for a wide range of applications.Next, we delve into differential equations, where you'll learn how to formulate and solve these equations, essential for modeling numerous physical and engineering systems. Our step-by-step approach ensures that even the most daunting problems become manageable.Integration, the inverse process of differentiation, will be our next focus. You'll master techniques of integration and learn how to apply them to compute areas, volumes, and solve practical problems. Finally, we’ll explore the fascinating applications of integration in various fields, solidifying your understanding and enhancing your problem-solving skills.This course is perfect for students, professionals, or anyone looking to build a strong foundation in calculus. By the end, you'll be equipped with the knowledge and confidence to tackle calculus challenges head-on. Join us on this journey to mastering calculus!

Udemycourse

View Details30 points

Go to Course

Course

Ace Advanced Calculus in 10.5 Hours (The Complete Course)

How This Course WorksWelcome to Ace Advanced Calculus in 10.5 Hours (The Complete Course)! This comprehensive course expands on foundational calculus, exploring the behavior and applications of functions in multiple dimensions. You'll delve into four main topics: Integral Calculus, Vector Calculus, Integral Theorems (including Green’s, Stokes’, and the Divergence Theorem), and an Introduction to Partial Differential Equations. Whether you're pursuing a degree in mathematics, physics, engineering, or another technical field, this course equips you with both theoretical insights and practical tools for tackling real-world problems.Who Should Take This Course?This course is perfect for:University students enrolled in Advanced Calculus or those who have completed Calculus III and Linear Algebra.Learners and professionals seeking a deeper understanding of multivariable calculus applications in their fields.Anyone eager to master advanced calculus concepts for academic or professional growth.Course OverviewAccess a rich learning experience featuring lecture videos, detailed notes, and practice problem sets with solutions. Topics include:Integral CalculusTwo-Variable Functions: Jacobians in polar coordinates, variable transformations in double integrals, and their applications.Gamma Function and Laplace Transform: Insights into key integrals and the Laplace transform.Three-Variable Functions: Jacobians in cylindrical and spherical coordinates, transformations in triple integrals, and practical applications.Surface Area and Surface Integrals: Calculations in Cartesian, cylindric

Udemycourse

View Details30 points

Go to Course

Course

Complete Calculus 1: Master Limits and Derivatives

Unlock the power of Calculus and gain the confidence to solve even the most complicated mathematical problems.Calculus is often seen as a daunting subject, but it is the foundation of modern engineering, science, and economics. Whether you are a college student preparing for exams or a professional looking to refresh your skills, this course is designed to take you from the basics of functions to the advanced applications of integrals.What You Will LearnThis course provides a comprehensive, step-by-step journey through the core pillars of Calculus 1. Each section includes detailed video explanations followed by quizzes to ensure you have mastered the material before moving forward.Our curriculum is organised into six intensive sections:Section 1: Pre-Calculus (Functions): We begin with a vital introduction to functions and their types to ensure you have the necessary background for the rest of the course.Section 2: Limits: You will learn to properly understand and calculate different types of limits, a crucial step in defining derivatives.Section 3: Derivatives: Master the essential rules of differentiation, including the Power Rule, Chain Rule, and derivatives of trigonometric, constant, and rational functions.Section 4: Applications of Derivatives: Learn how to apply your knowledge to real-world scenarios, specifically focusing on finding the rate of change of one quantity with respect to another.Section 5: Integrals: We dive into the world of integration, covering both definite and indefinite integrals in detail.Section 6: Application of Integrals: Discover the practical uses of integration by calculating surface area, arc length, work, and the

Udemycourse

View Details30 points

Go to Course

Course

Become a Calculus 3 Master

HOW BECOME A CALCULUS 3 MASTER IS SET UP TO MAKE COMPLICATED MATH EASY:This 526-lesson course includes video and text explanations of everything from Calculus 3, and it includes 161 quizzes (with solutions!) and an additional 40 workbooks with extra practice problems, to help you test your understanding along the way. Become a Calculus 3 Master is organized into the following sections:Partial DerivativesMultiple IntegralsVectorsAND HERE'S WHAT YOU GET INSIDE OF EVERY SECTION:Videos: Watch over my shoulder as I solve problems for every single math issue you’ll encounter in class. We start from the beginning... I explain the problem setup and why I set it up that way, the steps I take and why I take them, how to work through the yucky, fuzzy middle parts, and how to simplify the answer when you get it.Notes: The notes section of each lesson is where you find the most important things to remember. It’s like Cliff Notes for books, but for math. Everything you need to know to pass your class and nothing you don’t.Quizzes: When you think you’ve got a good grasp on a topic within a course, you can test your knowledge by taking one of the quizzes. If you pass, great! If not, you can review the videos and notes again or ask for help in the Q&A section.Workbooks: Want even more practice? When you've finished the section, you can review everything you've learned by working through the bonus workbook. The workbooks include tons of extra practice problems, so they're a great way to solidify what you just learned in that section.HERE'S WHAT SOME STUDENTS OF BECOME A CALCULUS 3 MASTER HAVE TOLD ME:“Krista is an excellent teacher and her course is comprehensive. She is a clear communicator, mak

Udemycourse

View Details30 points

Go to Course

Course

Become a Calculus 1 Master

HOW BECOME A CALCULUS 1 MASTER IS SET UP TO MAKE COMPLICATED MATH EASY:This 292-lesson course includes video and text explanations of everything from Calculus 1, and it includes 76 quizzes (with solutions!) and an additional 19 workbooks with extra practice problems, to help you test your understanding along the way. Become a Calculus 1 Master is organized into the following sections:Limits & ContinuityDerivativesApplications of DerivativesAND HERE'S WHAT YOU GET INSIDE OF EVERY SECTION:Videos: Watch over my shoulder as I solve problems for every single math issue you’ll encounter in class. We start from the beginning... I explain the problem setup and why I set it up that way, the steps I take and why I take them, how to work through the yucky, fuzzy middle parts, and how to simplify the answer when you get it.Notes: The notes section of each lesson is where you find the most important things to remember. It’s like Cliff Notes for books, but for math. Everything you need to know to pass your class and nothing you don’t.Quizzes: When you think you’ve got a good grasp on a topic within a course, you can test your knowledge by taking one of the quizzes. If you pass, great! If not, you can review the videos and notes again or ask for help in the Q&A section.Workbooks: Want even more practice? When you've finished the section, you can review everything you've learned by working through the bonus workbook. The workbooks include tons of extra practice problems, so they're a great way to solidify what you just learned in that section.HERE'S WHAT SOME STUDENTS OF BECOME A CALCULUS 1 MASTER HAVE TOLD ME:“This course is absolutely amazing, I use both this course and the calc 2 course

Udemycourse

View Details30 points

Go to Course

Course

Integral Calculus-Mathematics

1. Reduction Formulae 2. Beta function 3. Gamma functionReduction Formulae are recursive mathematical expressions that help evaluate integrals by reducing them to simpler forms, often in terms of lower powers or smaller expressions.A reduction formula is typically derived using integration by parts or recursion techniques and is useful when dealing with integrals involving powers of trigonometric, exponential, or polynomial functions.The Beta function, denoted as B(m,n)B(m, n)B(m,n), is a special function.It is a symmetric function, meaning:B(m,n)=B(n,m).B(m, n) = B(n, m).B(m,n)=B(n,m).Applications of Beta FunctionUsed in probability theory (Beta distribution).Appears in combinatorics and statistics.Integral evaluations in physics and engineering.The Gamma function, denoted as Γ(n)\Gamma(n)Γ(n), is a fundamental function in mathematics that generalizes the factorial function to non-integer values.Applications of the Gamma FunctionProbability & Statistics: Defines the Gamma and Beta distributions.Physics & Engineering: Used in quantum mechanics, thermodynamics, and wave functions.Complex Analysis: Extends factorials to the complex plane.Relation Between Beta and Gamma FunctionsThe Beta function and Gamma function are closely related through the following fundamental identity:B(m,n)=Γ(m)Γ(n)Γ(m+n)B(m, n) = \frac{\Gamma(m) \Gamma(n)}{\Gamma(m+n)}B(m,n)=Γ(m+n)Γ(m)Γ(n)Differential Calculus- Reduction Formulae1. Reduction Formulae 2. Beta function 3. Gamma function

Udemycourse

View Details30 points

Go to Course

14 resources found

Course

Calculus Masterclass: Beginner to Advanced

Interested to have a mastery in Calculus 1? Then this course is definitely for you.I have been teaching Calculus for 15 years and in this course, I have put up my best efforts to make learning Calculus as simple as possible.I will be taking you step-by-step from the Foundation of Calculus to the application of derivatives. With every tutorial you will gain crystal clear concept of how Calculus has been designed and how to solve complex mathematics questions by Calculus.This course has 180 lessons which includes both videos and explanatory notes of everything in Calculus 1. It has 42 quizzes to help you to check yourself how much you have understood the concept. The lessons in the videos has been taught in a very simple manner to let you have a strong hold from basics of Calculus to the Mastery in Calculus.I have organized Calculus 1 Masterclass in 4 Sections:Foundation of Calculus (Functions)Limits and ContinuityDerivativesApplication of DerivativesTangent and NormalIncreasing and DecreasingWhat this Course Includes:Videos: The videos are created in such a form to let you understand Calculus and make it as simple as possible. With every topic video there are videos which will explain the problem examples based on that topic. These example videos will increase your concept of that topic of how to apply and what steps to be taken while solving such problems or questions.Notes: Each section has its own explanatory notes. The notes of each topic contain the detail explanation of topic with graphical explanation to your concept as much clear as possible. These notes will also help you in your academic exams.Quizzes: The best way to check your concept is to attempt quizzes. That’s why in every section there are quizzes for on

Udemycourse

View Details30 points

Go to Course

Course

Master Taylor & Power Series, Interval of Convergence Calc 2

Master Taylor & Power Series, Interval of Convergence for Calculus 2 with Woody Calculus — the proven, step-by-step approach to conquering Infinite Series. In this course, you’ll build confidence through clear explanations, pattern recognition, and plenty of guided examples designed to make even the most challenging problems approachable.You’ll start with Power Series fundamentals, learning exactly how to represent functions as series and determine their radius and interval of convergence. From there, you’ll move into Maclaurin and Taylor Series, discovering how to create accurate polynomial approximations of functions and when to use them. You’ll also see how to apply Taylor’s Remainder Theorem to non-alternating series to bound approximation errors, and use the Alternating Series Estimation Theorem to achieve precise accuracy in alternating series problems.Every lesson comes with downloadable notes, fully worked examples, and problem-solving strategies designed to speed up recognition and execution — critical skills for exams. You’ll not only learn the methods, but also when and why to apply them, ensuring you can approach any Infinite Series question with confidence.Whether you’re currently enrolled in Calculus 2, preparing for the AP Calculus BC exam, or brushing up on your skills for future courses, this class gives you the clarity, structure, and confidence to excel.Join now and master the Infinite Series portion of Calculus 2 the Woody Calculus way — direct, structured, and built for results.

Udemycourse

View Details30 points

Go to Course

Course

Vector Algebra (Part I): A Pre-Calculus Series

Vector quantities are widely used and major impact on various engineering and science fields. Understanding the vector algebra, how the products of vectors and applications of the same are important in very competitive examinations. So this course is designed in a such way that it will fulfill both above persectives.This course contains details about the vectors from the very basics to the intermediate level. The course is divided into 6 modules, rich with contents as follows:Module 1: Basics of vector and scalars, Representation, Properties of vectorsModule 2: Laws of Vector addition, Components of vectorModule 3: Dot Product – Understaning, Importance, Significance and propertiesModule 4: Cross Product – Understaning, Importance, Significance and propertiesModule 5: Insights and Comparison between Dot & Cross products, Angle between two vectors, Important resultsModule 6: Application part – Work done, Torque (moment), Area of a Triangle and ParallelogramEach of the above modules has a detailed explanation of concepts followed by Solved examples.Course has Lifetime access with support and doubt solving via the Q&A section.The second part of this course will include higher level of concepts with application in 3D geometry as well.So, Enroll today and dive into the world of vectors.Waiting for you inside the course!- Pranav Trivedi

Udemycourse

View Details30 points

Go to Course

Weekly picks in Calculus & Analysis, free - join the newsletter.

Course

Ace Calculus 2 in 13 Hours (The Complete Course)

HOW THIS COURSE WORK:This course, Ace Calculus 2 in 13 Hours (The Complete Course), has everything you need to know for Calculus 2, including video and notes from whiteboard during lectures, and practice problems (with solutions!). I also show every single step in examples and derivations of rules and theorems. The course is organized into the following sections:Riemann SumsFundamental Theorem of CalculusAntiderivativesTechniques of IntegrationApplications of IntegrationImproper IntegralsDifferential EquationsSequencesSeriesCONTENT YOU WILL GET INSIDE EACH SECTION:Videos: I start each topic by introducing and explaining the concept. I share all my solving-problem techniques using examples. I show a variety of math issue you may encounter in class and make sure you can solve any problem by yourself.Notes: In this section, you will find my notes that I wrote during lecture. So you can review the notes even when you don't have internet access (but I encourage you to take your own notes while taking the course!).Extra notes: I provide some extra notes, including formula sheets and some other useful study guidance.Assignments: After you watch me doing some examples, now it's your turn to solve the problems! Be honest and do the practice problems before you check the solutions! If you pass, great! If not, you can review the videos and notes again or ask for help in the Q&A section.THINGS THAT ARE INCLUDED IN THE COURSE:An instructor who truly cares about your successLifetime access to Ace Calculus 2 in 13 Hours (The Complete Course)Friendly support in the Q&A sectionUdemy Certificate of Completion available fo

Udemycourse

View Details30 points

Go to Course

Course

Algebra 2 Precalculus and Trigonometry (LEVEL: 11 or 12 gd)

If under 18 the parent or guardian must open the account. Depending on the length, this course will be either a whole or half course. The course will cover Algebra 2, Trigonometry, and Precalculus. The textbook can be viewed for free on openstax and is called Precalculus 2e. I plan to cover roughly 7 pages per day/unit. For each day/unit I plan to assign and go over about 10 problems. I may decide to split the course up into two parts. We will start with functions. After exploring the function concept we will look at one of the most basic: linear functions. Linear functions are among the simplest of the polynomial functions. After linear and polynomial functions we will then move to quotients, called rational functions. Then we will look at exponential and logarithmic functions. If we are able we will then move to trigonometry. We will look at trigonometeric functions as periodic functions. Then we will look at the various relations or identities between trigonometric functions.  After looking at some related topics we will then go to systems of equations and inequalities. Then we go into analytic geometry to include conic section. Finally we will do sequences, series, and topics in calculus. This is enough material for two courses so we might split this into 2 classes.

Udemycourse

View Details30 points

Go to Course

Course

Calculus for Machine Learning: Level 2 - Optimization

Machine learning is powered by multivariable calculus, optimization, and probability.This course builds on the foundations introduced in Level 1 and takes you deeper into the mathematics behind modern machine learning and deep learning algorithms.You will develop an intuitive understanding of gradients, Hessian matrices, Taylor series, constrained optimization, and advanced optimization algorithms such as Momentum, RMSProp, and Adam. Rather than memorizing formulas, you will learn how these mathematical tools explain the behavior of machine learning models during training.Throughout the course, every concept is connected to practical machine learning applications through visual explanations and geometric intuition. You will also explore multivariable integrals and probability as essential components of modern AI systems.This course is designed for learners who already understand basic derivatives and want to confidently study optimization and deep learning mathematics.Downloadable PDF notes accompany every lecture to support your learning and future review. By the end of the course, you will have a strong conceptual framework for understanding how machine learning models learn, optimize, and converge.Each lecture includes practical machine learning context together with downloadable PDF notes to reinforce the concepts presented. By developing intuition before formal mathematics, you will gain confidence in understanding optimization methods used in modern artificial intelligence and deep learning systems.

Udemycourse

View Details30 points

Go to Course

Course

Learn Calculus I: Beginner to Advanced Quickly

This is course number 1 in a collection of calculus courses designed to take you from beginner to solve calculus problems easily. Is "Learn Calculus I: Beginner to Advanced Quickly"" Worth Investing Your Time and Money? By the end of this course you will be able to confidently talk about functions

Udemycourse

View Details30 points

Go to Course

Course

CALCULUS Needed for Physics and Chemistry

Who this course is for:When we learn Physics & Chemistry, a stage comes where use of calculus becomes essential. Now, most students find calculus difficult; specially those who are weak in math.But you don't have to worry, I'm here to help you !!!I have developed a method to teach calculus in an easy-to-understand way. You will be able to learn it easily. I'll make you an expert in applying calculus in Physics and Chemistry.And this method is quicker too. You will  save time!How will you benefit:After completing this course you will be able to use calculus in solving problems of physics and chemistry, wherever needed.You will also be able to use calculus in derivations of formulas of physics and chemistry, wherever needed.How is this course different from others:This course will teach you the essential part of calculus needed to use it in physics and chemistry.No unnecessary theory will be taught. This way you will find calculus easy.Most courses on calculus are taught from the view of mathematics. So concepts like Functions, Limits, etc. are taught before teaching calculus. As a result, many students find those courses difficult, and hence find calculus difficult.If you learn calculus as taught in this course, you won't find it difficult to use it in physics and chemistry.Please also note that if you want to learn calculus as a part of mathematics, then this course will not be sufficient. You will need to learn more. This course is for using calculus in physics and chemistry.

Udemycourse

View Details30 points

Go to Course

Popular Tags

Books

0 books available

No books yet

Calculus & Analysis

Learn Calculus (Best Online Course) - Solved examples

Ace Advanced Calculus in 10.5 Hours (The Complete Course)