AP Calculus BC (Calculus II) concepts
17th session
AP Calculus BC / Calculus 2 Tutoring Series
Welcome to our AP Calculus BC / Calculus 2 Tutoring Series!
NOTE: More sessions to be added.
This series HIGHLY RECOMMENDED for high school and college students who already have an understanding of calculus 1 and want to increase their calculus skills.
Prerequisites: This series is designed for students who have a foundation in limits, derivatives, and integrals and are ready to dive deeper into more advanced topics. This series will NOT cover topics already in AP Calculus AB or Calculus I syllabus.
The goal is to provide clear, easy-to-understand explanations and practical examples to help you excel in your studies. Here's what we'll cover:
1. Techniques of Integration- Learn various methods to tackle complex integrals, including integration by parts, partial fractions, trigonometric integrals, and more. These techniques will expand your toolkit and make solving integrals more manageable.
2. Applications of Integrals
- Discover how integrals are used in real-world applications. We'll explore areas such as calculating areas between curves, finding volumes of solids of revolution, work done by a force, and more.
3. Parametric Equations and Polar Coordinates
- Understand how to work with curves represented by parametric equations and polar coordinates. We'll cover graphing, analyzing motion, and converting between different coordinate systems.
4. Sequences and Series-
- Dive into the world of sequences and series, including arithmetic and geometric series, convergence tests, power series, and Taylor series. You'll learn how to determine the behavior and sum of infinite series.
5. Vectors and 3D Space
- Explore the fundamentals of vectors and their applications in three-dimensional space. Topics include vector operations, dot and cross products, equations of lines and planes, and analyzing motion in space.
Throughout the series, we'll use a variety of teaching methods, including step-by-step problem-solving, visual aids, and interactive discussions to ensure you grasp each concept thoroughly. Join us and take your calculus skills to the next level!