Welcome to Calculus 2
The following covers material commonly seen in a College level Calculus 2 course or a high school AP Calculus BC course. I attempted to provide comprehensive introductions to each topic, as well as some example problems. In some cases I give additional material to help provide deeper insight. I suggest reading through the introduction material before looking at the examples. The best way to have long term success in calculus is to understand the concepts. Any particular example problem may still be challenging, but a sound understanding of the concepts should be the main goal for learning the material. Enjoy, and always feel free to reach out for questions, corrections, or private tutoring!
Integration Techniques – Integration by Parts
Integration Techniques – Trigonometric Integrals
Integration Techniques – Trigonometric Substitution
Integration Techniques – Method of Partial Fractions
Integration Techniques – Improper Integrals
Integration Techniques – Numerical Integration
Integral Applications – Arc Length and Surface Area
Parametric Calculus – Parametric Equations
Parametric Calculus – Derivatives and Integrals
Parametric Calculus – Arc Length and Speed
Polar Coordinates – Polar Coordinate Introduction
Polar Coordinates – Area and Arc Length in Polar Coordinates
Differential Equations Introduction – Separation of Variables
Differential Equations – Exponential Growth and Decay
Differential Equations – Logistic Equation
Infinite Series – Series Introduction
Infinite Series – Convergence of Positive Series
Infinite Series – Convergence of Non-Positive Series
Infinite Series – Ratio and Root Tests
Infinite Series – Power Series
Please send all comments, corrections, and requests to steve@ferrantetutoring.com