Calculus 2/Calculus BC

Calculus is already hard, so let's make it fun and easy!


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

Requirements
Know how to take a limit
Know how to take a derivative
Know trigonometry

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 having to memorize formulas and rules. I tried to make this course as short as possible while putting as much knowledge and useful tips as I could. Every lecture ranges from 5 minutes to 30 minutes. Under each video, you will find complete class notes with answers to homework questions as well as 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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