# Homepage for Math 421, Section C6. Summer 2008

## General Course Information

• Room: Hill 124, Busch Campus.
• Days: Tuesdays and Thursdays between May 27th and July 17th, 2008.
• Time: 6:00 pm – 8:30 pm.
• Text: Dennis G. Zill and Michael R. Cullen; Advanced Engineering Mathematics (third edition); Jones and Bartlett, 2006; (ISBN# 0-763-74591-X)
• Course Materials and a course I taught last year.

• Lecturer: Eduardo E. Osorio.
• Office Hours: Tuesdays and Thursdays from 5:00 pm to 6:00 pm, in Hill 606.

• Exams: There will be two midterm exams and a final exam.
• Homework: There will be textbook homework. I will collect homework each Tuesday.  I will spot-check it for completeness only.  You are responsible for making sure you have done all problems correctly.  You should work with friends.  If you can do EVERY problem, each in a reasonable amount of time, then you will ace the final. I don't accept late work, so if you must miss class, arrange in advance an alternate time to give me your work.
• Quizzes: There will be a short quiz at least once a week when there is no midterm or final.  Some will be announced and others a surprise, but given in class and based on the assigned homework problems.  They may cover material discussed the same day.  You cannot use your notes or books on quizzes. There will be no make-ups for quizzes.

 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 *

 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