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    Mathematics 8                              Spring 2004                              tentative Syllabus


Day
Date
                                                    Topic                                                          
Sections in text

 1
3-29
Differential equations, direction fields, modeling
10.1, 10.2
 2
3-31
Separable equations, exponential growth
10.3, 10.4
 3
4-2
Integration by parts, first order linear differential equations
8.1, 10.6


4
4-5
Applications of FOL differential equations, complex numbers
10.6, appendix G
5
4-7
More complex numbers, second order linear differential equations
appendix G, 18.1
6
4-9
More second order linear differential equations
18.1


7
4-12
Applications of SOL DEs
18.3
8
4-14
Sequences, series, geometric series
12.1, 12.2
9
4-16
 Representing functions as power series
12.8, 12.9


10
4-19
Taylor series
12.10
11
4-21
Error estimates
12.10
12
4-23
Three-dimensional coordinate systems
13.1, 13.2

 The first exam on Monday, on April 26th, in Bradley 101, from 6:00 to 8:00pm covers up to and including day 11.
    Solutions to the first exam.
    An old math 8 first exam is here after the first dot under  Practice problems.

13
4-26
Dot products
13.3
14
4-28
Cross products
13.4
15
4-30
Equations of lines
13.5


16
5-3
Equations of planes
13.5
17
5-5
Vector-valued functions and their derivatives, space curves
14.1, 14.2
18
5-7
Arc length, velocity and acceleration
14.3, 14.4


19
5-10
Functions of several variables, limits, continuity
15.1, 15.2
20
5-12
Partial derviatives
15.3
21
5-14
Tangent planes and linear approximations
15.4

     The second exam on Wednesday, on May 19, in Bradley 101, from 6:00-8:00pm covers days 12 through 21.  
Old math 8 second exams are here after the second dot under  Practice problems.
Solutions to the second exam.

      
22
5-17
Chain rule
15.5
23
5-19
Directional derivatives
15.6
24
5-21
Directional derivatives and the gradient
15.6


25
5-24
Maxima and minima
15.7
26
5-26
More extreme values
15.7
27
5-28
Lagrange multipliers
15.8

28
6-2
More Lagrange multipliers
15.8