Math 9 - Fall 2007

Dartmouth College

home          general information       syllabus               homework            office hours          professor

This syllabus has been approved by the undergraduate program committee and you should expect that we will cover all of this material this term; however, due to time constraints some of the material will not be covered at great length. The sections in parenthesis refer to sections in your book.

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

Last Updated Sept. 11, 2007 by R.C. Orellana