# BC Calculus Topics

1. Integration by Parts

2. Improper Integrals

3. Integration by Partial Fractions

## Parametric Equations

1. Graphing Parametrics

2. Convert Parametrics to Rectangular Form

3. First Derivative Parametrics

4. Second Derivative Parametrics

5. Arc Length of Parametric Equations

6. Parametric Derivatives Quiz

## Polar Equations

1. Polar Coordinate Introduction

2. Derivatives of Polar Functions

3. Area Bounded by Polar Curve

## Vector Equations

1. Vector Basics

1. Components of Vectors

2. Determining Equivalent Vectors

3. Magnitude of Vectors

4. Unit Vectors

2. Operations with Vectors

1. First Derivative

1. Second Derivative

1. Motion Along a Curve

1. PVA with Vectors

## Sequences and Series

1. Sequence Convergence and Divergence

2. Partial Sums for Series

3. Infinite Series as the Limit of Partial Sums

4. Geometric Series

5. n-th Term Test for Divergence

6. Integral Test for Convergence

7. P-Series and Harmonic Series

8. Alternating Series Test

9. Direct Comparison Test for Convergence

10. Limit Comparison Test for Convergence

11. Ratio Test for Convergence

12. Absolute or Conditional Convergence

13. Infinite Sequences and Series Quiz

14. Alternating Series Error Bound

15. Taylor and Maclaurin Polynomial

16. Lagrange Error Bound

17. Radius and Interval of Convergence for Power Series

18. Functions as a Geometric Series

19. Maclaurin Series of sin(x), cos(x), and e^x

20. Integrate and Differentiate Power Series

21. Integrals and Derivatives of Functions with Known Power Series