Srbija Posted April 3 Share #1 Posted April 3 Calculus 2 - A Complete Course In Integral Calculus Published 2/2023 MP4 | Video: h264, 1280x720 | Audio: AAC, 44.1 KHz Language: English | Size: 27.84 GB | Duration: 21h 19m Master the theory, practice and applications of integrals! What you'll learn Integral Calculus Key Integration Techniques Advanced Integration Techniques Applications of Integrals Requirements Differentiation, ideally having completed Calculus 1 Algebra, Trigonometry and knowledge of Mathematical functions Description So you ve made it through Pre-Calculus and are ready for the good stuff! Calculus is the Mathematics of change and used to model and understand many phenomena in the real world from science and engineering to finance, economics and medicine it s difficult to find a field which doesn t employ Calculus in some way. We start the Calculus 2 course with some key concepts before moving onto core and advanced integration techniques and applications. We then turn our attention to parametric & polar functions, and sequences & series. This Course is For YouI created this course to help you master integral Calculus through clear instructional videos and relevant practice questions. There are many reasons why you might want to take this course:To learn Calculus 2 from scratch For additional support if you're taking Calculus 2 in school or collegeTo help you prep for a Calculus 2 assessment To review key Integration techniques To access more than 300 relevant practice questions with full solutions As prep for taking further Math, engineering or other courses21 hours of instructional video!Whatever your reason this course will help you build key skills quickly. What You'll Take Away From This CourseCalculus 2 is a challenging course with a lot of content. But by mastering core techniques you'll be able to answer a wide variety of questions both in class and in the real-world. Each instructional video teaches one technique and mixes a small amount of theory with example problems. You will then practice what you've learnt in the end of section review exercise. I've also included step-by-step solutions so you can check your work as you go. Take this course and you will learn:The foundations of integration - antiderivatives and Riemann sumsCore integration techniques - the Power Rule, Chain Rule and Trigonometric rules Integration by Parts which extends the functions you can integrateAdvanced differentiation techniques such as improper integralsApplications of derivatives such as finding areas under curves and volumes of revolutionParametric and polar function and common applicationsSequences, series, and series convergence tests Power series such as Taylor Series and Maclaurin Series Overview Section 1: Integrals Lecture 1 Antiderivatives Lecture 2 Antiderivatives and Integration Lecture 3 Notation for Integration Lecture 4 The Power Rule Lecture 5 Integratable Form Lecture 6 Indefinite and Definite Integrals Lecture 7 Evaluating Definite Integrals Lecture 8 Riemann Sums Lecture 9 Integrals and Riemann Sums Lecture 10 The Fundamental Theorem of Calculus Lecture 11 Test Your Knowledge Section 2: Integration Techniques Lecture 12 Integration by U-Substitution Lecture 13 The Reverse Chain Rule Lecture 14 Integration by Parts Lecture 15 Integration by Parts for Definite Integrals Lecture 16 Integration using Partial Fractions Lecture 17 Example of Integration Using Partial Fractions Lecture 18 Integrating the Sine and Cosine Functions Lecture 19 Integrating the Tangent Function Lecture 20 Improper Integrals Lecture 21 Example of an Improper Integral Lecture 22 Evaluating Improper Integrals of the Form[a, infinity) Lecture 23 Evaluating Improper Integrals of the Form (- infinity, infinity) Lecture 24 Evaluating Improper Integrals - Discontinuous at a or b Lecture 25 Improper Integrals Discontinuous in the interval (a, b) Lecture 26 Test Your Knowledge Section 3: Application of Integrals Lecture 27 Finding the Area Under a Curve Lecture 28 Finding the Area Between Two Curves Lecture 29 Volumes of Revolution Lecture 30 Volumes of Revolution Around the X-Axis Lecture 31 Volumes of Revolution Around the Y-Axis Lecture 32 Arc Length Using Integration Lecture 33 Evaluating Arc Length Using Integration Lecture 34 Test Your Knowledge Section 4: Parametric Functions Lecture 35 Parametric Functions Lecture 36 Writing Parametric Functions in Cartesian Form Lecture 37 Differentiating Parametric Functions Lecture 38 Second Derivatives for Parametric Functions Lecture 39 Curves of Parametric Functions Lecture 40 Tangent Lines to Parametric Curves Lecture 41 The Area Under a Parametric Curve Lecture 42 The Arc Length of a Parametric Curve Lecture 43 Volumes of Revolution for Parametric Curves Lecture 44 Surface Area of Revolution for Parametric Curves Lecture 45 Test Your Knowledge Section 5: Polar Functions Lecture 46 Polar Coordinates Lecture 47 Switching Between Polar and Cartesian Coordinates Lecture 48 Graph Sketching for Polar Curves Lecture 49 Example of Graph Sketching for Polar Curves Lecture 50 Tangent Lines to Polar Curves Lecture 51 Example of a Tangent Line to a Polar Curve Lecture 52 The Intersection of Polar Curves Lecture 53 The Area Bounded by a Polar Curve Lecture 54 The Arc Length of a Polar Curve Lecture 55 The Surface Area of Revolution of a Polar Curve Lecture 56 Test Your Knowledge Section 6: Sequences Lecture 57 Starting Sequences & Series Lecture 58 Determining the General Term of a Sequence Lecture 59 The Convergence of a Sequence Lecture 60 The Limit of a Convergent Sequence Lecture 61 Types of Sequence Lecture 62 Bounded Sequences Lecture 63 Test Your Knowledge Section 7: Series Lecture 64 Partial Sums of an Infinite Series Lecture 65 Sum of an Infinite Series Using Partial Sums Lecture 66 Geometric Series Convergence Test Lecture 67 The Sum of a Geometric Series Lecture 68 Repeating Decimal Problems Lecture 69 Telescoping Series Lecture 70 The Sum of a Convergent Telescoping Series Lecture 71 The Limit and Sum of an Infinite Series Lecture 72 Common Series Results Lecture 73 Example of a Telescoping Series Lecture 74 Test Your Knowledge Section 8: Series Convergence Tests Lecture 75 The Integral Convergence Test Lecture 76 The P-Series Test Lecture 77 The Nth Term Test Lecture 78 The Direct Comparison Test Lecture 79 The Limit Comparison Test Lecture 80 The Ratio Test Lecture 81 The Root Test Lecture 82 Alternating Series Test Lecture 83 Alternating Series Estimates Lecture 84 Absolute and Conditional Convergence Lecture 85 Test Your Knowledge Section 9: Power Series Lecture 86 Starting Power Series Lecture 87 Power Series, Taylor Series and Maclaurin Series Lecture 88 Interval and Radius of Convergence Lecture 89 Multiplying Power Series Lecture 90 Differentiating Power Series Lecture 91 Evaluating Indefinite Integrals for Power Series Lecture 92 Evaluating Definite Integrals for Power Series Lecture 93 Starting Taylor Series Lecture 94 The Radius and Interval of Convergence of a Taylor Series Lecture 95 Example of The Radius and Interval of Convergence of a Taylor Series Lecture 96 Starting Maclaurin Series Lecture 97 Evaluating the Sum of a Maclaurin Series Lecture 98 The Radius and Interval of Convergence of a Maclaurin Series Lecture 99 Example of the Radius and Interval of Convergence of a Maclaurin Series Lecture 100 Writing Indefinite Integrals as an Infinite Series Lecture 101 Approximating Definite Integrals Using an Infinite Series Lecture 102 Example of Approximating Definite Integrals Using an Infinite Series Lecture 103 Test Your Knowledge Section 10: Additional Resources Lecture 104 Calculus 2 Formula List Lecture 105 Series Convergence Tests Lecture 106 Trigonometry Formula List Lecture 107 Trigonometric Function Graphs Students who need to learn Calculus 2,Students who need to learn Integration,Students reviewing key Integration techniques for a test or assignment,Students looking for Calculus 2 practice questions with full step-by-step solutions,Students who want clear instruction on all aspects of Calculus 2 Hidden Content Give reaction to this post to see the hidden content. 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