Engineering Mathematics 293, Spring 2006
Syllabus and Homework Assignments
Week
Topics
Homework
Date
Due
1
1/23-
1/27
1.1: Differential equations and mathematical
models
1.2: Integrals as general and particular
solutions
1.3: Slope fields and solution curves
1.1: 26, 28, 34, 41
1.2: 16, 36, 42
1.3: 15, 22, 32
Solutions
2/3
2
1/30-2/3
1.4: Separable equations and applications
1.5: Linear first-order equations
1.4: 3, 25, 30, 31, 64
1.5: 4, 23, 29, 38, 40
Solutions
2/10
3
2/6-2/10
1.6: Substitution methods and exact solutions
1.6: 10, 16, 23, 29, 35, 36,
51, 59, 69, 71
Solutions
2/17
4
2/13-
2/17
2.1: Population models
2.2: Equilibrium solutions and stability
2.1: 3, 9, 22, 24, 26
2.2: 3, 4, 20, 21, 24
Solutions
2/24
Tues
2/21
Prelim 1
Solutions
Histogram
5
2/20-
2/24
2.3: Acceleration-velocity models
2.4: Numerical approximation: Euler's
method
2.3: 13, 14, 15, 16, 17
2.4: 2, 5
Solutions
3/3
6
2/27-3/3
2.5: A closer look at the Euler's method
2.6: The Runge-Kutta method
2.5: 19, 23
2.6: 19, 23