Math 9 - Fall 2007
Dartmouth College
home
general information
syllabus
homework
office hours
professor
course description |
textbook |
exams |
scheduled lectures |
homework policy |
disabilities |
grades |
honor principle |
religious observances |
Roughly half of the course is devoted to topics in one-variable calculus: techniques of
integrations, areas, volumes, trigonometric integrals and substitutions, numerical integration,
sequences and series including Taylor series.
The second half of the course generally studies scalar valued functions of several variables.
It begins with the study of vector geometry, equations of lines and planes, and space curves
(velocity, acceleration, arclength). The rest of the course is devoted to studying differential
calculus of functions of several variables. Topics include limits and continuity, partial
derivatives, tangent planes and differentials, the Chain Rule, directional derivatives
and applications, and optimization problems including the use of Lagrange multipliers.