# Math 1220 | Calculus II

These lecture videos are organized in an order that corresponds with the current book we are using for our Math1220, Calculus 2, courses (*Calculus, with Differential Equations, by Varberg, Purcell and Rigdon, 9th edition published by Pearson*). We have numbered the videos for quick reference so it's reasonably obvious that each subsequent video presumes knowledge of the previous videos' material. Along with the video lecture for each topic, we have included the "pre-notes" and "post-notes" which are the notes of the lecture before we did the problems and after we worked everything out during the lecture, respectively. You may want to download the notes to use as a reference while watching the lecture video, or for later reference.

If you find an error in the lecture or a problem with the video, or if you would like to give feedback to us about these lectures, please email rebecca@math.utah.edu to do so.

**NOTE: These videos were not recorded in stereo sound. If you are listening to these videos on headphones, you may want to consider setting your sound channels to come through both sides. This document will give you an idea of how to accomplish that.**

- 1A Natural Log (part 1) lecture video
- 1B Natural Log (part 2) lecture video
- 2 Inverse Functions lecture video
- 3 Natural Exponential Function lecture video
- 4A General Exponential/Logarithmic Functions (part 1) lecture video
- 4B General Exponential/Logarithmic Functions (part 2) lecture video
- 5A Exponential Growth & Decay (part 1) lecture video
- 5B Exponential Growth & Decay (part 2) lecture video
- 6A Inverse Trigonometric Functions & Their Derivatives (part 1) lecture video
- 6B Inverse Trigonometric Functions & Their Derivatives (part 2) lecture video
- 7A Hyperbolic Functions (part 1) lecture video
- 7B Hyperbolic Functions (part 2) lecture video
- 8A Basic Integration Rules (part 1) lecture video
- 8B Basic Integration Rules (part 2) lecture video
- 9A Integration by Parts (part 1) lecture video
- 9B Integration by Parts (part 2) lecture video
- 10A Trigonometric Integrals (part 1) lecture video
- 10B Trigonometric Integrals (part 2) lecture video
- 11A Rationalizing & Trigonometric Substitutions (part 1) lecture video
- 11B Rationalizing & Trigonometric Substitutions (part 2) lecture video
- 12A Integration of Rational Functions--Partial Fraction Decomposition (part 1) lecture video
- 12B Integration of Rational Functions--Partial Fraction Decomposition (part 2) lecture video
- 13 Strategies for Integration lecture video
- 13.5A Integration Practice (part 1) lecture video
- 13.5B Integration Practice (part 2) lecture video
- 14 Indeterminate Types: 0/0 lecture video
- 15 Other Indeterminate Forms lecture video
- 16A Improper Integrals (part 1) lecture video
- 16B Improper Integrals (part 2) lecture video
- 17 Improper Integrals: Indefinite Integrands lecture video
- 17.5A Sequence/Series/Patterns Introduction & Practice (part 1) lecture video
- 17.5B Sequence/Series/Patterns Introduction & Practice (part 2) lecture video
- 18A Infinite Sequences (part 1) lecture video
- 18B Infinite Sequences (part 2) lecture video
- 19A Infinite Series (part 1) lecture video
- 19B Infinite Series (part 2) lecture video
- 20A Positive Series: Integral Test (part 1) lecture video
- 20B Positive Series: Integral Test (part 2) lecture video
- 21A Positive Series: Ordinary Comparison Test lecture video
- 21B Positive Series: Limit Comparison Test lecture video
- 21C Positive Series: Ratio Test lecture video
- 22 Alternating Series lecture video
- 23 Power Series lecture video
- 24A Operations on Power Series (part 1) lecture video
- 24B Operations on Power Series (part 2) lecture video
- 25A Taylor and Maclaurin Series (part 1) lecture video
- 25B Taylor and Maclaurin Series (part 2) lecture video
- 25C Taylor and Maclaurin Series (part 3) lecture video
- 26A Taylor Approximations (part 1) lecture video
- 26B Taylor Approximations (part 2) lecture video
- 27A Polar Coordinates (part 1) lecture video
- 27B Polar Coordinates (part 2) lecture video
- 28 Graphs of Polar Equations lecture video
- 29A Calculus of Polar Equations (part 1) lecture video
- 29B Calculus of Polar Equations (part 2) lecture video