This is a course info page for Math 421 section C6. I
will try to post the hand-in homework assignments and some lecture notes here. The text for the
course is Advanced Engineering Mathematics (second edition) by Zill and Cullen. Note
that this text was used for the first time in Fall 2004. It is not the same as the text that is
listed on the course materials webpage.
The course meets TTh from 6:30 to 9 PM in Hill 124 on Busch Campus.
Office Hour Change: My office hours are now Tuesday and Thursday from 5 - 6:30 PM.
Course Policies
At the beginning of each class, the homework problems from the sections covered in the last class
will be due. I will not accept late homework. There may be quizzes in class as well. Because of the
accelerated summer school schedule missing even one class will
jeopardize your final grade. You are
responsible for any material you miss because of absence. If you know in advance that you will be missing a
class, please come see me before.
Tentative Syllabus
Lecture
Date
Section(s)
of text
Section title(s)
Homework problems
1
5/31
4.1 4.2
Definition of Laplace transform
The Inverse Transform and Transform of Derivatives
Dirac Delta function Solving Systems of Linear Equations
1,3,11,13 1,7,9,11,14
4
6/9
7.6 8.1 8.2
Vector spaces
Matrix Algebra Systems of Linear Algebraic Equations
17, 23, 29, 35, 37 5, 9, 11, 27
5
6/14
8.3 8.4 8.5
Rank of a Matrix Determinants Properties of Determinants
5, 11, 15, 17, 19 15, 25, 27 5, 11, 13, 23, 31
6
6/16
Midterm #1
7
6/21
8.6 8.7 8.8
Inverse of a Matrix Cramer's Rule The
Eigenvalue Problem
5, 25, 31, 51 1 5, 13, 19
8
6/23
8.10 8.12
Orthogonal Matrices Diagonalization
7, 13, 15 3, 13, 15, 23
9
6/28
12.112.2
Orthogonal Functions Fourier Series
3, 7, 15 1, 5, 9, 15, 17
10
6/30
12.3 12.4 12.5
Fourier Cosine and Sine Series Complex Fourier Series Sturm-Liouville Problem
3, 5, 7, 13, 19, 35 1, 5
11
7/5
13.1 13.2
Separable Partial Differential Equations Classical Equations and Boundary-Value Problems
3,11,15 1,3,5,9
12
7/7
Midterm #2
13
7/12
13.3 13.4
Heat Equation Wave Equation
1,3,4 3,5,8
14
7/14
13.5 15.2
Laplace's Equation Applications of Laplace
Transform
5,7,15 2,5
15
7/19
13.8 14.2
Fourier Series in Two Variables Laplace's Equation
in Polar Coordinates
16
7/21
Final Exam
Notes
The two course midterms will each be an hour and 30 minutes long. During the first hour of the course
on those days we will have time for review. The final exam will take the full course period.