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pdf | 115.34 MB | English| Isbn:9781351411615 | Author: John G. Papastavridis | Year: 2018 Description: Category:Science & Technology, Engineering, Mathematics, Mechanical Engineering & Dynamics, Geometry, Calculus, Dynamics - General & Miscellaneous, Geometry - Differential, Vectors & Tensors https://fileaxa.com/lb20kyucr1g7 https://ddownload.com/5qlj3c2en1ch https://rapidgator.net/file/0572b96283998b337ba6c6208c33dc49/ https://turbobit.net/l1g77fwuko3y.html

Free Download Udemy - Math 165 (Calculus 1 - Aum ) Published 10/2024 MP4 | Video: h264, 1920x1080 | Audio: AAC, 44.1 KHz Language: English | Size: 12.27 GB | Duration: 19h 12m Calculus 1 What you'll learn complex numbers CH 12.2 Vectors CH 12.3 Dot product Ch1.1 Functions- Even & Odd Functions & Symmetry Ch1.2 Linear, polynomial, power, rational, trigonometric, exponential and logarithmic functions CH 1.3 New Functions from Old Functions Ch 1.4 Exponential Functions Ch 1.5 Inverse Functions and Logarithmic Functions Ch 2.2 The Limit of a Function Ch 2.3 Calculating Limits Using the Limit Laws Ch 2.5 Continuity Ch 2.6 Limit at Infinity and Horizontal Asymptotes Ch 2 7 & 2 8 Derivatives and Rates of Change CH 3.1 Derivatives of Polynomials CH 3.2 The Product and Quotient Rules - derivatives Ch 3.3 Derivatives of Trigonometric CH 3.4 The Chain Rule CH 3.5 Implicit Differentiation and Derivatives of Inverse Trigonometric Functions CH 3.6 Derivatives of Logarithmic functions Ch 4.1 Maximum and Minimum Values Ch 4.2 The Mean Value Theorem Ch 4.3 How Derivatives Affect the Shape of a Graph - increasing and decreasing intervals - local minimum and maximum points - inflection points Ch 4.4 Indeterminate Forms and L'Hospital's Rule Ch 4.5 Summary of Curve Sketching Ch 4.9 Antiderivatives- - integration Ch 5.3 The Fundamental Theorem of Calculus - integration Ch 5.4 Indefinite Integrals and the Net Ch 10.5 Conic Sections Requirements سوف يحتاج جوال او جهاز لاب توب او جهاز كمبيوتر Description Course contentcomplex numbersCH 12.2 VectorsCH 12.3 Dot product Ch1.1 Functions- Even & Odd Functions & Symmetry Ch1.2 Linear, polynomial, power, rational, trigonometric, exponential and logarithmic functionsCH 1.3 New Functions from Old Functions Ch 1.4 Exponential Functions Ch 1.5 Inverse Functions and Logarithmic FunctionsCh 2.2 The Limit of a Function Ch 2.3 Calculating Limits Using the Limit Laws Ch 2.5 Continuity Ch 2.6 Limit at Infinity and Horizontal AsymptotesCh 2 7 & 2 8 Derivatives and Rates of ChangeCH 3.1 Derivatives of PolynomialsCH 3.2 The Product and Quotient Rules - derivativesCh 3.3 Derivatives of TrigonometricCH 3.4 The Chain RuleCH 3.5 Implicit Differentiation and Derivatives of Inverse Trigonometric FunctionsCH 3.6 Derivatives of Logarithmic functionsCh 4.1 Maximum and Minimum ValuesCh 4.2 The Mean Value TheoremCh 4.3 How Derivatives Affect the Shape of a Graph - increasing and decreasing intervals - local minimum and maximum points - inflection pointsCh 4.4 Indeterminate Forms and L'Hospital's RuleCh 4.5 Summary of Curve SketchingCh 4.9 Antiderivatives- - integrationCh 5.3 The Fundamental Theorem of Calculus - integrationCh 5.4 Indefinite Integrals and the NetCh 10.5 Conic SectionsAdditionally, key concepts like limits and integrals are essential. Overview Section 1: CH 12 and Complex number Lecture 1 CH 12.2 - Part 1 - Vectors شرح Lecture 2 CH 12.2 - Part 2 - Vectors شرح Lecture 3 CH 12.2 - Part 3 - Vectors شرح Lecture 4 CH 12.3 - Part 1 - Dot product شرح Lecture 5 CH 12.3 - Part 2 - Dot product شرح Lecture 6 complex numbers شرح Section 2: Chapter 1 Lecture 7 Ch1.1 - Part 1 - Functions- Even & Odd Functions & Symmetry شرح Lecture 8 Ch1.1- Part 2- Increasing & Decreasing Functions, Domain شرح Lecture 9 Ch1.2 polynomial, rational, trigonometric, exponential, logarithmic function Lecture 10 CH 1.3 - Part 1 _ New Functions from Old Functions شرح Lecture 11 CH 1.3 - Part 2 _ Composition of functions Examples شرح Lecture 12 Exercises on CH 1.1&1.2 & 1.3 حل Lecture 13 Ch 1.4 Exponential Functions شرح Lecture 14 Ch 1.5 Inverse Functions and Logarithmic Functions شرح Section 3: Chapter 2 Lecture 15 Ch 2.2 The Limit of a Function شرح Lecture 16 Ch 2.3 Calculating Limits Using the Limit Laws شرح Lecture 17 Ch 2.5 Continuity شرح Lecture 18 Ch 2.6 Limit at Infinity and Horizontal Asymptotes شرح Lecture 19 Ch 2.7 & 2.8 Derivatives and Rates of Change شرح Section 4: Chapter 3 Lecture 20 CH 3.1 Derivatives of Polynomials شرح Lecture 21 CH 3.2 The Product and Quotient Rules - derivatives شرح Lecture 22 Ch 3.3 Derivatives of Trigonometric Functions شرح Lecture 23 CH 3.4 The Chain Rule شرح Lecture 24 CH 3.5 Implicit Differentiation and Derivatives of Inverse Trigonometric Func. Lecture 25 CH 3.6 - Part (1) - Derivatives of Logarithmic functions شرح Lecture 26 CH 3.6 - Part (2) - Derivatives of Logarithmic functions شرح Section 5: Chapter 4 Lecture 27 Ch 4.1 Maximum and Minimum Values شرح Lecture 28 Ch 4.2 The Mean Value Theorem شرح Lecture 29 Ch 4.3 How Derivatives Affect the Shape of a Graph - increasing and decreasing Lecture 30 Ch 4.4 Indeterminate Forms and L'Hospital's Rule شرح Lecture 31 Ch 4.5 Summary of Curve Sketching شرح Lecture 32 Ch 4.7 Optimization Problems شرح Lecture 33 Ch 4.9 Antiderivatives- - integration شرح Section 6: Chapter 5 Lecture 34 ch 5.3 The Fundamental Theorem of Calculus - integration شرح Lecture 35 Ch 5.4 Indefinite Integrals and the Net شرح Section 7: Ch 10.5 Conic Sections Lecture 36 Ch 10.5 Conic Sections شرح بالكويت - طلبة كلية الهندسهAUM طلبة جامعة Screenshot Homepage https://www.udemy.com/course/math-165-calculus-1-aum/ Rapidgator https://rg.to/file/09c259c7a9798989b3eb113dcc5d5604/dofkk.Math.165.Calculus.1..Aum..part10.rar.html https://rg.to/file/163939b3ac5728840b433c105be12c6f/dofkk.Math.165.Calculus.1..Aum..part08.rar.html https://rg.to/file/255ffbc0ca9c9c934d2b1e54b0d70018/dofkk.Math.165.Calculus.1..Aum..part09.rar.html https://rg.to/file/4780b8996f45073967cb89e4bb075b25/dofkk.Math.165.Calculus.1..Aum..part03.rar.html https://rg.to/file/5aecb8534043c62ea886799849c9276e/dofkk.Math.165.Calculus.1..Aum..part12.rar.html https://rg.to/file/608a4683292464756a27fa5e42a89dad/dofkk.Math.165.Calculus.1..Aum..part02.rar.html https://rg.to/file/63db3bfd4d470834f488affb89187771/dofkk.Math.165.Calculus.1..Aum..part01.rar.html https://rg.to/file/76ef8786f8062dc8457326208e3ab84d/dofkk.Math.165.Calculus.1..Aum..part05.rar.html https://rg.to/file/9738790b0a1b4f5028ef1ec71ed6783a/dofkk.Math.165.Calculus.1..Aum..part04.rar.html https://rg.to/file/a0a8b6e154219c65df34bee779fddd54/dofkk.Math.165.Calculus.1..Aum..part06.rar.html https://rg.to/file/e459fd013a65b26fe6f95c7caad9b872/dofkk.Math.165.Calculus.1..Aum..part11.rar.html https://rg.to/file/e6ae0d818282c1c8706f25a15d7a7872/dofkk.Math.165.Calculus.1..Aum..part07.rar.html https://rg.to/file/ec2d3c095cf98632da3cdc5da26fb49c/dofkk.Math.165.Calculus.1..Aum..part13.rar.html Fikper Free Download https://fikper.com/AsvZ7nQBjD/dofkk.Math.165.Calculus.1..Aum..part01.rar.html https://fikper.com/AwPNesFVe1/dofkk.Math.165.Calculus.1..Aum..part12.rar.html https://fikper.com/JNsTo8cBqX/dofkk.Math.165.Calculus.1..Aum..part02.rar.html https://fikper.com/fprzBDS0vX/dofkk.Math.165.Calculus.1..Aum..part07.rar.html https://fikper.com/hSK2rL440V/dofkk.Math.165.Calculus.1..Aum..part06.rar.html https://fikper.com/hjfNYbbpgQ/dofkk.Math.165.Calculus.1..Aum..part03.rar.html https://fikper.com/ltbXmrR1bz/dofkk.Math.165.Calculus.1..Aum..part04.rar.html https://fikper.com/mHnJ639CbB/dofkk.Math.165.Calculus.1..Aum..part08.rar.html https://fikper.com/oFhX59v6Eg/dofkk.Math.165.Calculus.1..Aum..part11.rar.html https://fikper.com/rhV1BANzgM/dofkk.Math.165.Calculus.1..Aum..part05.rar.html https://fikper.com/uuvdNzrOKQ/dofkk.Math.165.Calculus.1..Aum..part10.rar.html https://fikper.com/vf9EoxLMp8/dofkk.Math.165.Calculus.1..Aum..part09.rar.html https://fikper.com/xElB7JrY8s/dofkk.Math.165.Calculus.1..Aum..part13.rar.html No Password - Links are Interchangeable

Free Download Math 0-1 Matrix Calculus in Data Science & Machine Learning Last updated 10/2024 Created by Lazy Programmer Inc. MP4 | Video: h264, 1280x720 | Audio: AAC, 44.1 KHz, 2 Ch Genre: eLearning | Language: English + subtitle | Duration: 40 Lectures ( 6h 55m ) | Size: 2.75 GB A Casual Guide for Artificial Intelligence, Deep Learning, and Python Programmers What you'll learn Derive matrix and vector derivatives for linear and quadratic forms Solve common optimization problems (least squares, Gaussian, financial portfolio) Understand and implement Gradient Descent and Newton's method Learn to use the Matrix Cookbook Requirements Competence with Calculus and Linear Algebra Optional: Familiarity with Python, Numpy, and Matplotlib to implement optimization techniques Description Welcome to the exciting world of Matrix Calculus, a fundamental tool for understanding and solving problems in machine learning and data science. In this course, we will dive into the powerful mathematics that underpin many of the algorithms and techniques used in these fields. By the end of this course, you'll have the knowledge and skills to navigate the complex landscape of derivatives, gradients, and optimizations involving matrices.Course Objectives:Understand the basics of matrix calculus, linear and quadratic forms, and their derivatives.Learn how to utilize the famous Matrix Cookbook for a wide range of matrix calculus operations.Gain proficiency in optimization techniques like gradient descent and Newton's method in one and multiple dimensions.Apply the concepts learned to real-world problems in machine learning and data science, with hands-on exercises and Python code examples.Why Matrix Calculus? Matrix calculus is the language of machine learning and data science. In these fields, we often work with high-dimensional data, making matrices and their derivatives a natural representation for our problems. Understanding matrix calculus is crucial for developing and analyzing algorithms, building predictive models, and making sense of the vast amounts of data at our disposal.Section 1: Linear and Quadratic Forms In the first part of the course, we'll explore the basics of linear and quadratic forms, and their derivatives. The linear form appears in all of the most fundamental and popular machine learning models, including linear regression, logistic regression, support vector machine (SVM), and deep neural networks. We will also dive into quadratic forms, which are fundamental to understanding optimization problems, which appear in regression, portfolio optimization in finance, signal processing, and control theory.The Matrix Cookbook is a valuable resource that compiles a wide range of matrix derivative formulas in one place. You'll learn how to use this reference effectively, saving you time and ensuring the accuracy of your derivations.Section 2: Optimization Techniques Optimization lies at the heart of many machine learning and data science tasks. In this section, we will explore two crucial optimization methods: gradient descent and Newton's method. You'll learn how to optimize not only in one dimension but also in high-dimensional spaces, which is essential for training complex models. We'll provide Python code examples to help you grasp the practical implementation of these techniques.Course Structure:Each lecture will include a theoretical introduction to the topic.We will work through relevant mathematical derivations and provide intuitive explanations.Hands-on exercises will allow you to apply what you've learned to real-world problems.Python code examples will help you implement and experiment with the concepts.There will be opportunities for questions and discussions to deepen your understanding.Prerequisites:Basic knowledge of linear algebra, calculus, and Python programming is recommended.A strong desire to learn and explore the fascinating world of matrix calculus.Conclusion: Matrix calculus is an indispensable tool in the fields of machine learning and data science. It empowers you to understand, create, and optimize algorithms that drive innovation and decision-making in today's data-driven world. This course will equip you with the knowledge and skills to navigate the intricate world of matrix calculus, setting you on a path to become a proficient data scientist or machine learning engineer. So, let's dive in, embrace the world of matrices, and unlock the secrets of data science and machine learning together! 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Free Download Advanced Calculus Real Analysis with the Math Sorcerer Last updated 5/2023 MP4 | Video: h264, 1920x1080 | Audio: AAC, 44.1 KHz Language: English | Size: 3.67 GB | Duration: 7h 32m Selected Topics in Advanced Calculus/Real Analysis with tons of Beautiful Proofs:) What you'll learn Understand Advanced Mathematical Notation How to Write Proofs in Advanced Calculus How to Prove the Triangle, Reverse Triangle, and Bernoulli's Inequality How to Prove Various Important Results Regarding Sequences How to Prove the Squeeze Theorem How to Prove a Sequence Converges How to Prove a Sequence Diverges How to Prove Results Regarding Cauchy Sequences How to Prove a Sequence is Cauchy How to Write a Delta Epsilon Proof How to Prove a Function is Continuous How to Prove a Function is Uniformly Continuous How to Prove Pointwise Convergence How to Prove Uniform Convergence How to Prove a Function is Differentiable How to Prove a Function is Not Differentiable Understand the Convergence of Infinite Series How to Use Dirichlet's Test How to Find a Pointwise Limit How to Prove Various Key Results in Advanced Calculus Requirements Calculus 1, 2, 3, Differential equations + some proof writing experience is the typical recommendation for this material A strong desire to learn higher level mathematics Description This is a University Level course on Selected Topics in Advanced Calculus/Real Analysis with a major focus on WRITING PROOFS:) Note: Advanced Calculus(aka Real Analysis) is typically considered the HARDEST course a mathematics major will take. This course is a step above a general mathematics course. Students should have familiarity with writing proofs and mathematical notation. Basically just, 1) Watch the videos, and try to follow along with a pencil and paper, take notes! 2) Try to learn to write the proofs as I do. If you understand the proofs then you have learned a great deal. If you can write the proofs on your own then you have really graduated to the next level. 3) Repeat! If you finish even 50% of this course you will know A LOT of Advanced Calculus and more importantly your level of mathematical maturity will go up tremendously! Advanced Calculus is a beautiful yet notoriously difficult subject to learn and teach. I hope you enjoy watching these videos and working through these problems as much as I have:) Note this course has lots of very short videos. If you are trying to learn math then this format can be good because you don't have to spend tons of time on the course every day. Even if you can only spend time doing 1 video a day, that is honestly better than not doing any mathematics. You can learn a lot and because there are so many videos you could do 1 video a day for a very long time. Remember that math can be challenging and time consuming, so if you just do a little bit every day it can make your journey much more enjoyable. I hope you enjoy this course and learn lots of mathematics. Who this course is for Math Majors Anyone with a strong desire to learn higher level mathematics https://www.udemy.com/course/advanced-calculusreal-analysis-with-the-math-sorcerer/ Screenshot Rapidgator https://rg.to/file/43c835a694548342ac2138d6e3c03cd0/kclec.Advanced.CalculusReal.Analysis.with.the.Math.Sorcerer.part4.rar.html https://rg.to/file/5d292ac1a2abc83527b9123effbf1626/kclec.Advanced.CalculusReal.Analysis.with.the.Math.Sorcerer.part3.rar.html https://rg.to/file/b483251650984eab2e7e24de0b23cc8b/kclec.Advanced.CalculusReal.Analysis.with.the.Math.Sorcerer.part1.rar.html https://rg.to/file/dfffd359fe8a1e8d27f79fdd7dd687c4/kclec.Advanced.CalculusReal.Analysis.with.the.Math.Sorcerer.part2.rar.html Fikper Free Download https://fikper.com/5O7YPxB2Qi/kclec.Advanced.CalculusReal.Analysis.with.the.Math.Sorcerer.part4.rar.html https://fikper.com/HYA5bMr686/kclec.Advanced.CalculusReal.Analysis.with.the.Math.Sorcerer.part3.rar.html https://fikper.com/aC1cE0E2g6/kclec.Advanced.CalculusReal.Analysis.with.the.Math.Sorcerer.part2.rar.html https://fikper.com/vN28eQ8sJ6/kclec.Advanced.CalculusReal.Analysis.with.the.Math.Sorcerer.part1.rar.html No Password - Links are Interchangeable

Free Download Coursera - Integral Calculus through Data and Modeling Specialization Last updated 10/2024 MP4 | Video: h264, 1280x720 | Audio: AAC, 44.1 KHz, 2 Ch Genre: eLearning | Language: English + subtitle | Duration: 32 Lessons ( 8h 39m ) | Size: 605 MB Learn integral Calculus through modelling.. Master integration techniques for single and multivariable functions. What you'll learn Model and analyze data using techniques of integration for both single and multivariable functions. Numerical methods for integration Skills you'll gain Modeling Data Analysis Calculus functional analysis vectors This specialization builds on topics introduced in single and multivariable differentiable calculus to develop the theory and applications of integral calculus. , The focus on the specialization is to using calculus to address questions in the natural and social sciences. Students will learn to use the techniques presented in this class to process, analyze, and interpret data, and to communicate meaningful results, using scientific computing and mathematical modeling. Topics include functions as models of data, differential and integral calculus of functions of one and several variables, differential equations, and optimization and estimation techniques. Applied Learning Project In each module, learners will be provided with solved sample problems that they can use to build their skills and confidence followed by graded quizzes to demonstrate what they've learned. Through a cumulative project, students will apply their skills to model random chance events, evaluate a policy on air pollution regulation, and use calculus to estimate surface areas of land masses. Homepage https://www.coursera.org/specializations/integral-calculus-data-modeling TakeFile https://takefile.link/w1m2zmxtnkum/crqhp.Coursera..Integral.Calculus.through.Data.and.Modeling.Specialization.rar.html Rapidgator https://rg.to/file/2fbe485fa7cbf632e7fc404a45db6114/crqhp.Coursera..Integral.Calculus.through.Data.and.Modeling.Specialization.rar.html Fikper Free Download https://fikper.com/iw8ewc7Gnk/crqhp.Coursera..Integral.Calculus.through.Data.and.Modeling.Specialization.rar No Password - Links are Interchangeable

Free Download Calculus 2, part 1 of 2 - Integrals with applications Published 10/2024 Created by Hania Uscka-Wehlou,Martin Wehlou MP4 | Video: h264, 1280x720 | Audio: AAC, 44.1 KHz, 2 Ch Genre: eLearning | Language: English | Duration: 262 Lectures ( 56h 46m ) | Size: 46.4 GB Integral calculus in one variable: theory and applications for computing area between curves, curve length, and volumes What you'll learn: How to solve problems concerning integrals of real-valued functions of 1 variable (illustrated with 419 solved problems) and why these methods work. The concept of antiderivative / primitive function / indefinite integral of a function, and computing such integrals in a process reverse to differentiation. Integration by parts as the Product Rule in reverse with many examples of its applications. Integration by substitution as the Chain Rule in reverse with many examples of its applications. Integration of rational functions with help of partial fraction decomposition. Various types of trigonometric integrals and how to handle them. Direct and inverse substitutions; various types of trigonometric substitutions. The tangent half-angle substitution (universal trigonometric substitution). Euler's substitutions. Triangle substitutions. Riemann integral (definite integral): its definition and geometrical interpretation in terms of area. An example of a function that is not Riemann integrable (the characteristic function of the set Q, restricted to[0,1]). Oscillatory sums; Cauchy criterion of (Riemann) integrability. Sequential characterisation of (Riemann) integrability. Proof of uniform continuity of continuous functions on a closed bounded interval. Integrability of continuous functions on closed intervals. Integration by inspection: Riemann integrals of odd (or: even) functions over compact and symmetric-to-zero intervals. Integration by inspection: evaluating some definite integrals with help of areas known from geometry. Fundamental Theorem of Calculus (FTC) in two parts, with a proof. Applications of Fundamental Theorem of Calculus in Calc 2 and Calc3. Application of FTC for computing derivatives of functions defined with help of Riemann integrals with variable (one or both) limits of integration. Application of FTC for computing limits of sequences that can be interpreted as Riemann sums for some integrable functions. The Mean-Value Theorem for integrals with proof and with a geometrical interpretation; the concept of a mean value of a function on an interval. Applications of Riemann integrals: (signed) area between graphs of functions and the x-axis, area between curves defined by two continuous functions. Applications of Riemann integrals: rotational volume. Applications of Riemann integrals: rotational area. Applications of Riemann integrals: curve length. Improper integrals of the first kind (integration over an unbounded interval). Improper integrals of the second kind (integration of unbounded functions). Comparison criteria for determining whether an improper integral is convergent or not. Requirements: Precalculus (Basic notions, Polynomials and rational functions, Trigonometry, Exponentials and logarithms) Calculus 1: Limits and continuity (or equivalent) Calculus 1: Derivatives with applications (or equivalent) You are always welcome with your questions. If something in the lectures is unclear, please, ask. It is best to use QA, so that all the other students can see my additional explanations about the unclear topics. Remember: you are never alone with your doubts, and it is to everybody's advantage if you ask your questions on the forum. Description: Calculus 2, part 1 of 2: Integrals with applicationsSingle variable calculusS1. Introduction to the courseYou will learn: about the content of this course and about importance of Integral Calculus. The purpose of this section is not to teach you all the details (this comes later in the course) but to show you the big picture.S2. Basic formulas for differentiation in reverseYou will learn: the concept of antiderivative (primitive function, indefinite integral); formulas for the derivatives of basic elementary functions in reverse.S3. Integration by parts: Product Rule in reverseYou will learn: understand and apply the technique of integration called "integration by parts"; some very typical and intuitively clear examples (sine or cosine times a polynomial, the exponential function times a polynomial), less obvious examples (sine or cosine times the exponential function), mind-blowing examples (arctangent and logarithm), and other examples.S4. Change of variables: Chain Rule in reverseYou will learn: how to perform variable substitution in integrals and how to recognise that one should do just this.S5. Integrating rational functions: partial fraction decompositionYou will learn: how to integrate rational functions using partial fraction decomposition.S6. Trigonometric integralsYou will learn: how to compute integrals containing trigonometric functions with various methods, like for example using trigonometric identities, using the universal substitution (tangent of a half angle) or other substitutions that reduce our original problem to the computing of an integral of a rational function.S7. Direct and inverse substitution, and more integration techniquesYou will learn: Euler substitutions; the difference between direct and inverse substitution; triangle substitutions (trigonometric substitutions); some alternative methods (by undetermined coefficients) in cases where we earlier used integration by parts or variable substitution.S8. Problem solvingYou will learn: you will get an opportunity to practice the integration techniques you have learnt until now; you will also get a very brief introduction to initial value problems (topic that will be continued in a future ODE course, Ordinary Differential Equations).S9. Riemann integrals: definition and propertiesYou will learn: how to define Riemann integrals (definite integrals) and how they relate to the concept of area; partitions, Riemann (lower and upper) sums; integrable functions; properties of Riemann integrals; a proof of uniform continuity of continuous functions on a closed bounded interval; a proof of integrability of continuous functions (and of functions with a finite number of discontinuity points); monotonic functions; a famous example of a function that is not integrable; a formulation, proof and illustration of The Mean Value Theorem for integrals; mean value of a function over an interval.S10. Integration by inspectionYou will learn: how to determine the value of the integrals of some functions that describe known geometrical objects (discs, rectangles, triangles); properties of integrals of even and odd functions over intervals that are symmetric about the origin; integrals of periodic functions.S11. Fundamental Theorem of CalculusYou will learn: formulation, proof and interpretation of The Fundamental Theorem of Calculus; how to use the theorem for: 1. evaluating Riemann integrals, 2. computing limits of sequences that can be interpreted as Riemann sums of some integrable functions, 3. computing derivatives of functions defined with help of integrals; some words about applications of The Fundamental Theorem of Calculus in Calculus 3 (Multivariable Calculus).S12. Area between curvesYou will learn: compute the area between two curves (graphs of continuous functions), in particular between graphs of continuous functions and the x-axis.S13. Arc lengthYou will learn: compute the arc length of pieces of the graph of differentiable functions.S14. Rotational volumeYou will learn: compute various types of volumes with different methods.S15. Surface areaYou will learn: compute the area of surfaces obtained after rotation of pieces of the graph of differentiable functions.S16. Improper integrals of the first kindYou will learn: evaluate integrals over infinite intervals.S17. Improper integrals of the second kindYou will learn: evaluate integrals over intervals that are not closed, where the integrand can be unbounded at (one or both of) the endpoints.S18. Comparison criteriaYou will learn: using comparison criteria for determining convergence of improper integrals by comparing them to some well-known improper integrals.S19. ExtrasYou will learn: about all the courses we offer. You will also get a glimpse into our plans for future courses, with approximate (very hypothetical!) release dates.Make sure that you check with your professor what parts of the course you will need for your final exam. Such things vary from country to country, from university to university, and they can even vary from year to year at the same university.A detailed description of the content of the course, with all the 261 videos and their titles, and with the texts of all the 419 problems solved during this course, is presented in the resource file "001 List_of_all_Videos_and_Problems_Calculus_2_p1.pdf" under video 1 ("Introduction to the course"). This content is also presented in video 1. 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Free Download How Calculus Helps Us Really Understand Trigonometry Published 9/2024 MP4 | Video: h264, 1920x1080 | Audio: AAC, 44.1 KHz Language: English | Size: 686.75 MB | Duration: 2h 24m Understand Calculus in 2hrs! Learn Taylor series, Fourier analysis, limit, differentiation, and integration all at once! What you'll learn Thorough understanding of Taylor series expansion Hands on experience with Fourier analysis Thorough understanding of differentiation Thorough understanding of integration Understand the significance of fundamental theorem of Calculus Requirements You would need Excel to practice some of the math methods. Description This course will teach you Calculus in a brand new way! Traditional way to learn Calculus follows a sequential model: algebra-geometry-limit-differentiation-integration. Each piece was taught on an isolated basis. Hence it's very difficult for students to make connections. Without being able to connecting the dots, it's impossible to obtain a deep understanding about Calculus. Therefore most students walk away with random bits of memory about Calculus, they don't really have a coherent and systematic understanding of Calculus.This course will do something totally different. It starts with the ultimate use of Calculus, and approach the core of Calculus step by step in a logical sequence. We wouldn't throw you a concept out of blue, instead you will be prompted with a real problem, a problem that would encourage you to think proactively what to do next. You won't be prompted with limit tool day 1, because there was no need at that time. Instead you will face a real problem: what should we do in order to understand sine? From there, you will see gradually the need to differentiate, then integrate. You will see why the limit tool would pop up. You would gain a thorough understanding of one of Calculus' greatest tool: Taylor series expansion. You would also have hands-on experience with Fourier analysis.We believe the worst way to learn math is to follow the assembly line model where things are thrown at you without you seeing the actual need. This will prevent you from engaging with the mechanics, and learning becomes a boring course of memorizing and blind practicing. We believe the best way to learn math is to think from the end use, from the real problems, then think backwards you will understand how each piece of math snap into the right place effortlessly. And this will make your math learning experience smooth and enriched.Please join in this course if you want to have a systematic understanding of Calculus! Overview Section 1: Content overview Lecture 1 What you will learn Lecture 2 Content overview Section 2: Introduction: An overview of Taylor series method Lecture 3 Trigonometry: Middle ages Vs. Calculus Lecture 4 An overview of Taylor series expansion Lecture 5 How to get first level velocity Lecture 6 How to get layers of velocities Section 3: How to accumulate impacts from velocities: Integration Lecture 7 A taste of integration Lecture 8 How to integrate over lower level velocities Section 4: How to get velocities: Differentiation Lecture 9 A taste of differentiation Lecture 10 How to differentiate a general polynomial Lecture 11 How to differentiate sine Lecture 12 How to differentiate cosine Section 5: Put things together: Taylor series expansion Lecture 13 Taylor series expansion of sine and cosine Lecture 14 Implement Taylor series in Excel Section 6: How sine is used in analyzing sound Lecture 15 What is Fourier analysis Lecture 16 How to create sound waves - Limitations of Taylor series Lecture 17 Creating sound waves in Excel Lecture 18 Why Fourier analysis works Lecture 19 How to run Fourier analysis Section 7: Resources Lecture 20 Binomial coefficients Lecture 21 Trig combination formula Excel is used to implement some of the math methods discussed. While it's preferred to follow the Excel exercise to enforce the understanding, it's not required since you can just watch the video and still get a reasonable understanding. Homepage https://www.udemy.com/course/how-calculus-helps-us-really-understand-trigonometry/ Rapidgator https://rg.to/file/8367a359535a12343aa02fbee75d4545/svvfo.How.Calculus.Helps.Us.Really.Understand.Trigonometry.rar.html Fikper Free Download https://fikper.com/6PcyXS3j0x/svvfo.How.Calculus.Helps.Us.Really.Understand.Trigonometry.rar.html No Password - Links are Interchangeable

epub | 72.6 MB | English| Isbn:9781265355951 | Author: William Ma, Emily Pillar | Year: 2023 Description: Category:Reference, Study Aids & Test Prep, School Guides & Test Preparation, AP (Advanced Placement) Tests & CLEP (College Level Examination Program) Study Guides https://ddownload.com/3zbey77dokpa https://rapidgator.net/file/ed21ed660151897d7b8c210505dc9532/ https://turbobit.net/395q1trj4zkc.html

TTC - Understanding Calculus: Problems, Solutions, and Tips AVI | XviD 751kbps | English | 640x480 | 30fps | 36x30 mins | MP3 stereo 127kbps | 6.97 GB Genre: Video Training Calculus is the greatest mathematical breakthrough since the pioneering discoveries of the ancient Greeks. Without it, we wouldn't have spaceflight, skyscrapers, jet planes, economic modeling, accurate weather forecasting, modern medical technologies, or any of the countless other achievements we take for granted in today's world. Indeed, calculus is so versatile and its techniques so diverse that it trains you to view problems, no matter how difficult, as solvable until proved otherwise. And the habit of turning a problem over in your mind, choosing an approach, and then working through a solution teaches you to think clearly-which is why the study of calculus is so crucial for improving your cognitive skills and why it is a prerequisite for admission to most top universities. Understanding Calculus: Problems, Solutions, and Tips immerses you in the unrivaled learning adventure of this mathematical field in 36 half-hour lectures that cover all the major topics of a full-year calculus course in high school at the College Board Advanced Placement AB level or a first-semester course in college. With crystal-clear explanations of the beautiful ideas of calculus, frequent study tips, pitfalls to avoid, and-best of all-hundreds of examples and practice problems that are specifically designed to explain and reinforce major concepts, this course will be your sure and steady guide to conquering calculus. Your teacher for this intensively illustrated DVD set is Professor Bruce H. Edwards, an award-winning instructor at the University of Florida and the coauthor of a best-selling series of calculus textbooks. Accomplish Mathematical Wonders Calculus is one of the most powerful and astonishing tools ever invented, yet it is a skill that can be learned by anyone with an understanding of high school mathematics. Among its many uses, calculus teaches you to analyze a multitude of situations involving change, whether it's an accelerating rocket, the growth of a bacterial colony, or fluctuating stock prices; calculate optimum values, such as the greatest volume for a box with a given surface area or the highest feasible profit from the sales of an item; measure complex shapes-for example, the volume of a doughnut-shaped object called a torus or the area of a Description of land bounded by a river. Learn about Precalculus and Limits . . . Solving many types of calculus problems usually requires employing precalculus-algebra and trigonometry-to work out a solution. For this reason, Professor Edwards devotes the first few lectures to reviewing key topics in precalculus, then he covers some basic concepts such as limits and continuity before moving on to the two simple, yet brilliant ideas behind calculus-the derivative and the integral. Despite the apparent differences between the derivative and integral, you discover that they are inextricably linked by the surprising fundamental theorem of calculus. Throughout the course, you will discover that simplicity is one of the hallmarks of the essential ideas of calculus. . . . the Power of the Derivative . . . The derivative is the foundation of differential calculus, which you study through Lecture 17, exploring its many applications in science, engineering, business, and other fields. You start with a classic problem that illustrates one of the core ideas of calculus: Can you find the tangent line to a curve at a given point? This is the same as asking if the rate of change of the curve can be measured at that point-with a host of potential applications in situations where a quantity is changing, such as the speed of an accelerating vehicle. The answer is: Yes, and with amazing simplicity! After learning the steps involved, you have solved your first calculus problem. You then study a variety of ways to find derivatives, including the power rule, the constant multiple rule, the quotient rule, the chain rule, and implicit differentiation; learn how to find extrema-the absolute maximum and minimum values of functions, using derivatives; and apply derivatives to solve a variety of real-world problems. . . . and the Importance of the Integral Next, you are introduced to the integral, using a classic problem in which you are asked to find the area of a Description of land bounded by curves. To solve this problem, calculus provides us with the integral-a powerful tool that allows us to calculate areas, volumes, and other characteristics of complex shapes. The balance of the course is devoted to integral calculus and its applications. You study arc length and surface area-two applications of calculus that are at the heart of engineering; integration by substitution-a method that enables you to convert a difficult problem into one that's easier to solve; and the formulas for continuous compound interest, radioactive decay, and a host of other real-world applications. A Calculus Course for All Understanding Calculus is well suited for anyone who wants to take the leap into one of history's greatest intellectual achievements, whether for the first time or for review. Those who will benefit include these learners: Any student now studying calculus who would like personal coaching from a professor who has spent years honing his explanations for the areas that are most challenging to students. This course is specifically designed to cover all the major topics of a full-year calculus course in high school at the College Board Advanced Placement AB level or a first-semester course in college. Parents of students studying calculus, a subject with which they often give up trying to help their high-school-age children-at a critical turning point in their educational careers. Those who have already taken calculus and who need a thorough review. Anyone who didn't understand calculus on the first try and wants a lucid, in-depth presentation, with lots of interesting, well-explained practice problems. The plentiful graphs, equations, and other visual aids in these lectures are clear and well-designed, allowing you to follow each step of Professor Edwards's presentation in detail. The accompanying workbook includes lecture summaries, sample problems and worked-out solutions, tips, and pitfalls; lists of formulas and theorems; a trigonometry review sheet; a glossary; and a removable study sheet to use for quick and easy reference during the lectures. The Ideal Calculus Teacher Professor Edwards is the ideal calculus teacher-friendly, animated, encouraging, and witty, but also focused on presenting the material in an organized and understandable way. For anyone who feels intimidated by calculus, there is a distinct joy in being able to calculate a derivative after just a few lessons. It's easier than one might have supposed, and it opens an amazing new world of insight. As an educator who has been honored repeatedly, both for his teaching and for his textbooks, Professor Edwards is a fount of valuable advice. He offers frequent tips for success, including guidance for those preparing for the Advanced Placement Calculus AB exam, for which he has served as a grader and for which this course is excellent preparation. Among his suggestions are these: Graphing calculators: While some calculus teachers prefer that their students not use graphing calculators, the Advanced Placement exam requires them. Professor Edwards points out the strengths of graphing calculators as well as the weaknesses-for example, that in certain situations they can fool you. Memorization: Always memorize what your teacher assigns. However, no one can memorize all the formulas in calculus. A good approach is to commit to memory the idea behind a technique-for example, that the disk method of computing the volume of a solid involves slicing it into innumerable disks. Ever since its inception in the 17th century, calculus has spawned a continuing flood of new ideas and techniques for solving problems. It's easy to be overwhelmed by the richness of this subject, which is why many beginning students find themselves struggling. Through Professor Edwards's exceptional teaching in Understanding Calculus, you will come away with a deep appreciation for the extraordinary power of calculus, a grasp of which methods apply to different types of problems, and, with practice, a facility for unlocking the secrets of the ceaselessly changing world around us. 1. A Preview of Calculus 2. Review-Graphs, Models, and Functions 3. Review-Functions and Trigonometry 4. Finding Limits 5. An Introduction to Continuity 6. Infinite Limits and Limits at Infinity 7. The Derivative and the Tangent Line Problem 8. Basic Differentiation Rules 9. Product and Quotient Rules 10. The Chain Rule 11. Implicit Differentiation and Related Rates 12. Extrema on an Interval 13. Increasing and Decreasing Functions 14. Concavity and Points of Inflection 15. Curve Sketching and Linear Approximations 16. Applications-Optimization Problems, Part 1 17. Applications-Optimization Problems, Part 2 18. Antiderivatives and Basic Integration Rules 19. The Area Problem and the Definite Integral 20. The Fundamental Theorem of Calculus, Part 1 21. The Fundamental Theorem of Calculus, Part 2 22. Integration by Substitution 23. Numerical Integration 24. Natural Logarithmic Function-Differentiation 25. Natural Logarithmic Function-Integration 26. Exponential Function 27. Bases other than e 28. Inverse Trigonometric Functions 29. Area of a Region between 2 Curves 30. Volume-The Disk Method 31. Volume-The Shell Method 32. Applications-Arc Length and Surface Area 33. Basic Integration Rules 34. Other Techniques of Integration 35. Differential Equations and Slope Fields 36. 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