### Class videos.

- Administrative nonsense
- Definition of the Integral (review) ()
- The Fundamental Theorem of Calculus ()
- Integration by Substitution ()
- Integration by Parts ()
- Trigonometric Integrals and Trig Substitution ()
- Trig substitions and partial fractions
- Partial Fractions
- Midpoint, Trapezoid, and Simpson's Rule
- Simpsons rule, start improper integrals
- Improper Integrals
- Area between curves
- Review Session
- Volumes
- Volumes of revolution
- Arc Length, Average Value
- Work
- Polar Coordinates
- Polar curves and area
- Polar Area; sequences
- Sequences; Geometric and Harmonic series
- more infinite sums; integral test
- Integral & comparison tests
- Alternating series, absolute convergence, ratio test
- Power series
- New power series from old ones
- Review for midterm
- Functions as power series
- Maclaurin and Taylor series
- The binomial series, etc.
- Taylor remainder; complex numbers
- Complex Exponential; Intro to Diff. Eqn's
- Direction fields and Euler's method
- Euler's method again; Separable equations
- Separable Equations: mixing, heating, exponential growth
- 2nd order linear DE
- 2nd Order linear DE; logistic model
- The Logistic DE
- Predator-Prey models
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- Review III
- Problem Session