Links to lectures and supplemental materials for each lecture will be posted here throughout the semester

- January 11 - Integration by Parts
- January 13 - Integration by Parts, Partial Fractions

(see also this video from our friends at the Khan Academy about partial fractions. If you need a refresher on division of polynomials, go here)

- January 18 - Partial Fractions
- January 20 - Trigonometric Integrals (new and improved!)
- January 23 - Trigonometric Substitutions
- January 25 - Numerical Integration I: Trapezoid, Midpoint, and Simpson Rules and a spreadsheet of calculations for this lecture, in pdf format if you prefer
- January 27 - Numerical Integration II: Error Estimates and a spreadsheet of calculations for this lecture, in pdf format if you'd rather
- January 30 - Improper Integrals
- February 1 -
Sequences as functions from
**N**to**R** - February 3 - Sequences by Recursion, plus a spreadsheet in either excel or pdf format
- February 6 - Exam I Review

- February 8 - Introduction to Series
- February 10 - Series, Continued
- February 13 - Convergence Tests, I: The Integral Test
- February 15 - Convergence Tests, II: Comparison and Limit Comparison Tests
- February 17 - Alternating Series
- February 20 - Convergence Tests, III: Absolute and Conditional Convergence, Ratio and Root Tests
- February 22 - Ratio and Root Tests, Continued
- February 24 - Power Series
- February 27 - Fun and Games with Power Series
- March 1 - Taylor Series, plus a spreadsheet in excel or pdf format
- March 3 - The Average Value of a Function
- March 6 - Exam II Review

- March 8 - Application: Volumes by Integrating Cross-Sectional Area
- March 10 - Application: Volumes of Revolution
- March 20 - Application: Volumes of Revolution by Cylindrical Shells (if this lecture bears a striking resemblence to March 10, it does--the lecture on March 10 contains notes both for volumes of revolution and the method of cylindrical shells!)
- March 22 - Application: Arc Length
- March 24 - Application: Surface Area
- March 27 - Application: Centers of Mass
- March 29 - Parametric Equations (see also this nice write-up from the web)
- March 31 - Calculus with Parametric Equations
- April 3 - Polar Coordinates
- April 5 - Areas and Arc Length in Polar Coordinates
- April 7 - Calculus in Polar Coordinates
- April 10 - Exam III Review

- April 12 - Conic Sections (this lecture may spill over into Friday)
- April 14 - Planetary Motion (the other lecture did spill into Friday)
- April 17 - ODE I: Modeling with Differential Equations
- April 19 - ODE II: Direction Fields, Euler Method (also Euler Method I, Euler Method II, and Predictor-Corrector Method)
- April 21 - ODE III: Separable Differential Equations (
__warning: logistics equation is wrong in this lecture__!) - April 24 - Models for Population Growth
- April 26 - Final Exam Review (Part I: Old Business)
- April 28 - Final Exam Review (Part II: New Business)