- Learning objectives

- Recommended pace and advice
- Some useful handouts: common limits | summary of convergence tests
- Series
- Lecture notes
- Khan Academy videos on partial sums: clip 1 | clip 2 | clip 3
- Khan Academy videos on geometric series: clip 1 | clip 2 | clip 3 | clip 4
- Khan Academy videos on telescoping series: clip 1 | clip 2
- Harmonic
series diverges video

- Integral test and n-th term test
- Lecture notes
- Khan Academy video on n-th term test: clip

- Khan Academy video on intergral test: clip
- Khan Academy video on p-series: clip

- Comparison tests
- Lecture notes
- Khan Academy videos on direct comparison: clip
1 | clip
2

- Khan Academy videos on limit comparison: clip
1 | clip
2

- Learning objectives
- Recommended pace and advice

- Numerical Integration
- Trapezoid rule notes | Python code for trapezoid rule | Khan Academy video | Desmos trapezoid rule calculator
- Simpson's rule lecture slides | Python code for Simpson's rule
- Improper Integrals
- Lecture notes
- Video: What
makes an integral improper?

- Khan Academy videos: clip1
| clip
2 | clip
3

- Sequences

- Trapezoid rule

- Improper integrals
- Sequences
- Intro to series

- n-th term test and integral test
- Direct and limit comparison
- Alternating series
- Ratio and root tests
- Power series
- Properties of power series
- Taylor series
- Parametric equations
- Calculus of parametric equations
- Polar coordinates
- Area and arc length in polar coordinates

*Last updated May 4, 2020.*