# 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