Homepage for Math 421, Section C6. Summer 2007


General Course Information

Midterm Exam #1
100 pts
Midterm Exam #2
100 pts
Homework
075 pts
Quizzes
075 pts
Final Exam
150 pts
Total
500 pts

Homework

Disclaimer: The information here is tentative and subject to change or confirmation by announcement in class

 Hand in exercises marked here with *

Write out your answers neatly in complete English sentences and explain your reasoning


Date
Problems
06/05
4.1: 1, 5*, 7*, 13*, 23*, 35
4.2: 7*, 11*, 23*, 31, 35*, 39
4.3: 3*, 7, 9*, 11, 15*, 19*, 37*, 41*, 45*, 47, 49-54, 67*
4.4: 3, 7*, 11, 13, 19, 27, 33*, 37*, 39
06/12
4.5: 1, 3, 9*
4.6: 1*, 7, 9*, 11
7.6: 7*, (11-16)*, 22*, 26*, 27*
8.1: 17*, 23*, 29*, 35*, 37*
06/19
8.2: 5*, 9*, 11*, 37*
8.3: 9*, 13*, 15*
06/26
8.3: 17*, 19*
8.4: 19*, 21*, 25*, 27*
8.5: 5, 11*, 13*, 23*, 31, 33
8.6: 7*, 25*, 27*, 31, 51*, 53*
8.7: 1, 9*
07/03
8.8: 5*, 13*, 19*
8.10: 7*, 13*, 15*
8.12: 5*, 13*, 15*, 23*
07/10
NO HOMEWORK
07/17
12.1: 3*, 5, 7*, 17
12.2: 1, 5*, 9*, 15*, 17*, 21
12.3: 3*, 5, 7*, 13, 19, 23, 29*, 35
12.5: 1*
07/19
NO HOMEWORK but here are some recommended problems to work on:

13.1: 3*, 11, 15*
13.2: 1, 3, 5, 9
13.3: 1*, 3, 4
13.4: 1*, 3, 5, 14, 15, 18


Syllabus

Please note: This syllabus, and the midterm exam dates, are approximate; our mileage will vary.


#
Date
Reading
Topics
1
05/29
4.1, 4.2
Laplace Transform, Inverse, Transform of Derivatives
2
05/31
4.3, 4.4
Translation Theorems, Additional Operational Properties
3
06/05
4.5, 4.6, 7.6, 8.1
Dirac Delta Function, Systems of Linear Differential Equations, Vector Spaces. Matrix Algebra
4
06/07
7.6, 8.1
Vector Spaces, Matrix Algebra
5
06/12
8.1, 8.2, 8.3
Matrix Algebra, Systems of Linear Algebraic Equations, Rank of a Matrix
6
06/14
Midterm Exam 1: #1-4 and some of #5
7
06/19
8.3, 8.4, 8.5
Rank of a Matrix, Determinants, Properties of Determinants
8
06/21
8.6, 8.7
Inverse of a Matrix, Cramer's Rule
9
06/26
8.7, 8.8, 8.10
Cramer's Rule, The Eigenvalue Problem, Orthogonal Matrices
10
06/28
8.10, 8.12
Orthogonal Matrices, Diagonalization
11
07/03

NO CLASS. We will re-schedule.
12
07/05
Midterm Exam 2: #5, #7-10
13
07/10
12.1, 12.2
Orthogonal Functions, Fourier Series
14
07/12
12.2, 12.3, 12.5
Fourier Series, Fourier Sine and Cosine Series, Sturm-Liouville Problem
15
07/17
13.1, 13.2, 13.3, 13.4, 13.5
Separable Partial Differential Equations, Classical Equations and Boundary-Value Problems, Heat Equation, Wave Equation
FINAL EXAM (entire course): July 19, 6:00 - 8:45 pm


Quiz solutions

Maintained by eduardos@math.rutgers.edu and last modified July 13th, 2007