Homepage for Math 421, Section C6. Summer 2008


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
06/03
4.1: 3, 5, 9*, 17*, 29*, 35, 43*
4.2: 3*, 15*, 19*, 33, 37*, 39, 44*
4.3: 3, 7*, 9, 13*, 17*, 27, 33*, 39*, 41*, 45, 47*, 49-54, 65*
06/10
4.4: 1, 7*, 11*, 17, 18*, 19, 25*, 37, 39*, 59
4.5: 1, 3, 7*
4.6: 1, 3*, 5, 7*
7.6: 1*, 2*, 3*, 6*, 7*
06/17
7.6: 9, (11-16)*, 21, 27*, 35*
8.1: 11*, 19*, 29*
06/24
8.1: 23, 35*, 36*, 37*
8.2: 5*, 9*, 11*, 37
8.3: 9*, 11, 13*, 17*
8.4: 17, 21, 25*, 27
8.5: 5, 11, 13, 15*, 21*, 23*, 29*, 33, 37*
07/01
8.6: 3, 9*, 19*, 23*, 25, 27, 29*, 31*, 51*, 53
8.7: 5, 7*
8.8: 5*, 9, 11*, 15*, 17*, 19
8.10: 7*, 9, 11*, 17
07/08
8.12: 3, 7*, 11*, 15*, 25*
12.1: 3, 5*, 7*, 17
07/15
12.2: 1*, 5, 7*, 9*, 15*, 17, 19*, 21
12.3: 3, 5, 7*, 13, 19, 23, 27*, 29*, 35
13.1: 3, 5*, 9*, 11, 15*
13.3: 1*, 3*, 4*


Syllabus

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


#
Date
Reading
Topics
1
05/27
4.1, 4.2
Laplace Transform, Inverse, Transform of Derivatives
2
05/29
4.2, 4.3
Transform of Derivatives, Translation Theorems
3
06/03
4.3, 4.4, 4.5
Translation Theorems, Additional Operational Properties, Dirac Delta Function
4
06/05
4.5, 4.6, 7.6
Dirac Delta Function, Systems of Linear Differential Equations, Vector Spaces
5
06/10
7.6
Vector Spaces
6
06/12
8.1; Midterm Matrix Algebra; Midterm: #1-4 and some of #5
7
06/17
8.1, 8.2, 8.3
Matrix algebra, Systems of Linear Algebraic Equations, Rank of a Matrix
8
06/19
8.3, 8.4, 8.5
Rank of a Matrix, Determinants, Properties of Determinants
9
06/24
8.6, 8.7, 8.8 Inverse of a Matrix, Cramer's Rule, The Eigenvalue Problem
10
06/26
8.8, 8.10
The Eigenvalue Problem, Orthogonal Matrices
11
07/01
8.12, 12.1
Diagonalization, Orthogonal Functions
12
07/03
12.1, 12.2; Midterm
Orthogonal Functions, Fourier Series; Midterm: some of #5, #6-10, some of #11
13
07/08
12.2, 12.3, 13.1 Fourier Series, Fourier Sine and Cosine Series, Separable Partial Differential Equations
14
07/10
13.2, 13.3
Classical Equations and Boundary-Value Problems, Heat Equation
15
07/15
13.3, 13.4
Heat Equation, Wave Equation
FINAL EXAM (entire course): July 17, 6:00 - 8:30 pm


Quiz solutions

Maintained by eduardos@math.rutgers.edu and last modified July 9th, 2008