Calculus 2/Calculus BC

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Anastasiya Yurchak

5:56:37

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1. Introduction

1. Introduction.mp4

01:13

2. Integrals

1. Volume DiskWasher Method.mp4

20:07

2. Volume Shell Method.mp4

15:49

3. Applied Problems Work.mp4

28:39

4. Average Value of a Function.mp4

05:53

5. Integration by Parts.mp4

15:44

6. Trigonometric Integrals.mp4

11:35

7. Trigonometric Substitution.mp4

31:26

8. Improper Integrals.mp4

18:43

9. Arc Length.mp4

14:04

10. Area of a Surface of Revolution.mp4

13:07

11. Applied Problems Probability.mp4

12:33

Files.zip

3. Series

1. Sequences.mp4

09:46

2. Introduction to Series.mp4

03:12

3. Test for Divergence.mp4

07:14

4. Geometric Series.mp4

10:49

5. Integral Test.mp4

08:45

6. Comparison Test.mp4

19:55

7. Ratio Test.mp4

09:23

8. Root Test.mp4

05:28

9. Alternating Series.mp4

25:27

10. Power Series Radius and Interval of Convergence.mp4

12:56

11. Representing Functions as Power Series.mp4

21:54

12. Taylor and Maclaurin Series.mp4

32:55

Files.zip

Description

Math is already hard and stressful, so let’s not overcomplicate it and have fun.

What You'll Learn?

Solve indefinite integrals using various integration techniques
Solve word problems using integration
Test series for divergence and convergence
Develop skills and knowledge of standard concepts in integral calculus, infinite series

Who is this for?

Advanced calculus learners who want to deepen their understanding of calculus concepts such as integrals or series

What You Need to Know?

Know how to take a limit

Know how to take a derivative

Know trigonometry

More details

Description
I will try to keep this short because who reads the descriptions?! Math is a hard subject and calculus doesn't make it any easier. In this course, I will teach you how to approach math problems from fundamentals without memorizing formulas and rules. I tried to make this course as short as possible while putting as much knowledge and useful tips as possible, walking you through each problem step by step. Every lecture ranges from 5 minutes to 30 minutes. Under each video, you will find complete class notes with answers to homework questions and blank homework questions, which I encourage everyone to do.

Course Objectives:

Integration Techniques: Students will learn advanced techniques for computing definite and indefinite integrals, including integration by parts, trigonometric substitution, partial fractions, and integration involving trigonometric, exponential, and logarithmic functions.

Applications of Integration: Through applications in physics, probability, economics, and other fields, students will explore the practical significance of integration, including finding areas, volumes, arc lengths, and surface areas of various shapes.

Sequences and Series: The course covers the concepts of sequences and series, including convergence tests, Taylor and Maclaurin series, and power series representations of functions. Students will learn how to manipulate and analyze these mathematical constructs.

Good luck and thank you for choosing me to be your calculus guru!
Who this course is for:
Advanced calculus learners who want to deepen their understanding of calculus concepts such as integrals or series

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Hello, this is Anastasia, your math nerd. I want to spread my love and passion for math to everyone since it makes me happy. I think that logic and mathematics are things that everybody can understand. My goal is to bring confidence to anyone I interact with.I help people in a range of math subjects, including trigonometry, calculus, algebra as well as statistics. I believe in my students and never give up on them.

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