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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