Math 9 - Fall 2007
Dartmouth College
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Lecture | Sections | Topic |
---|---|---|
Day 1 | 6.1, 6.2 | Areas between curves, volumes of revolution |
Day 2 | 6.2 | Volumes of revolution |
Day 3 | 8.1 | Integration by parts |
Day 4 | 8.2 | Trigonometric Integrals |
Day 5 | 8.3, 8.4 | Trigonometric substitution, partial fractions (simple) |
Day 6 | 8.7 | Numerical Integation (midpoint, trapezoid, Simposon, Lagrange interpolation) |
Day 7 | 8.7 | Numerical Integration (error estimates) |
Day 8 | 8.8 | Improper Integrals |
Day 9 | 12.1, 12.2 | Sequences, Series of constants |
Day 10 | 12.3, 12.4 | Integral and comparison tests |
Day 11 | 12.5, 12.6 | Alternating series, ratio test |
Day 12 | 12.8, 12.9 | Power Series, Representations of functions as power series |
Day 13 | 12.10 | Taylor and Maclaurin series |
Day 14 | 12.10 | Taylor and Maclaurin series |
Day 15 | 13.1, 13.2 | Coordinates and vectors in the real plane and space |
Day 16 | 13.3, 13.4 | Dot product and cross product |
Day 17 | 13.5 | Lines in three dimensional space |
Day 18 | 13.5 | Equations of planes |
Day 19 | 14.1, 14.2 | Vector functions, space curves, derivatives and integrals |
Day 20 | 14.3, 14.4 | Arclength, velocity, acceleration |
Day 21 | 15.1, 51.2 | Functions of several variables, limits, continuity |
Day 22 | 15.3 | Partial Derivatives |
Day 23 | 15.4 | Tangent Planes and Approximation |
Day 24 | 15.5 | Chain Rule |
Day 25 | 15.6 | Directional Derivative |
Day 26 | 15.6 | Directional derivatives and the gradient |
Day 27 | 15.7 | Maxima and Minima |
Day 28 | 15.7 | Maxima and Minima |
Day 29 | 15.8 | Lagrange Multipliers?/wrap up |