The following video provides an outline of all the topics you would expect to see in a typical **Single-Variable Calculus 2** class (i.e., Calculus 2, Business Calculus 2, portions of AB Calculus, BC Calculus, or IB HL 2 Mathematics).

All of the topics are covered in detail in our Online Calculus 2 Course. The course contains full lectures, detailed examples, and also includes practice final exams.

## Calculus 2 Syllabus

9 Videos 81 Examples

Calculus 2 Overview

The following sections provide links to our complete lessons on all Calculus 2 topics.

Also, be sure to check out our free calculus tutoring videos and read our reviews to see what we’re like.

## Integrals

14 Videos 114 Examples

- Riemann Sums and Trapezoidal Sums to calculate area under a curve
- Integration Rules for all functions using Indefinite Integrals
- Fundamental Theorem of Calculus 1 and 2

– FTC#1 – definite integrals

– FTC#2 – derivative of an integral - Integration using Partial Fractions, Integration by Parts, and Improper Integrals

## Application of Integrals

6 Videos 27 Examples

- Area between curves
- Finding Volume using known cross sections
- Solids of Revolution (finding volume using the disk and washer methods)
- Particle Motion

## Differential Equations

5 Videos 19 Examples

- Separable Differential Equations
- Slope Fields and Growth and Decay

## Polar Functions

4 Videos 27 Examples

- Slope and Arc Length
- Area of Polar Functions

## Parametric and Vector Functions

2 Videos 17 Examples

- Slope and Arc Length
- Horizontal and Vertical Tangents
- Particle Motion

## Sequences and Series

15 Videos 92 Examples

- Sequences
- Convergence and Divergence for Infinite Series (9 series tests)
- Radius and Interval of Convergence
- Taylor Polynomials and Expansions
- Error and Lagrange Error Bound

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