Mathematics 8
Spring 2004
tentative
Syllabus
Day 
Date 
Topic

Sections
in text 
1 
329 
Differential
equations, direction fields, modeling 
10.1,
10.2 
2 
331 
Separable
equations, exponential growth 
10.3,
10.4 
3 
42 
Integration
by parts, first order linear differential equations 
8.1,
10.6 
4 
45 
Applications
of FOL differential equations, complex numbers 
10.6,
appendix G 
5 
47 
More
complex numbers, second order linear differential equations 
appendix
G, 18.1 
6 
49 
More
second order linear differential equations 
18.1 
7 
412 
Applications
of SOL DEs 
18.3 
8 
414 
Sequences, series,
geometric series 
12.1, 12.2 
9 
416 
Representing
functions as power series 
12.8, 12.9 
10 
419 
Taylor series 
12.10 
11 
421 
Error estimates 
12.10 
12 
423 
Threedimensional
coordinate systems 
13.1, 13.2 
13 
426 
Dot products 
13.3 
14 
428 
Cross products 
13.4 
15 
430 
Equations of lines 
13.5 
16 
53 
Equations of planes 
13.5 
17 
55 
Vectorvalued functions
and their derivatives, space curves 
14.1, 14.2 
18 
57 
Arc length, velocity and
acceleration 
14.3, 14.4 
19 
510 
Functions of several variables,
limits, continuity 
15.1, 15.2 
20 
512 
Partial derviatives 
15.3 
21 
514 
Tangent planes and linear approximations 
15.4 
22 
517 
Chain rule 
15.5 
23 
519 
Directional derivatives 
15.6 
24 
521 
Directional derivatives and the
gradient 
15.6 
25 
524 
Maxima and minima 
15.7 
26 
526 
More extreme values 
15.7 
27 
528 
Lagrange multipliers 
15.8 
28 
62 
More Lagrange multipliers 
15.8 