Course Information
MATH348: Advanced Engineering Mathematics - Introduction to partial differential equations, with applications to physical phenomena. Fourier series. Linear algebra, with emphasis on sets of simultaneous equations. Prerequisite: MATH 225 or equivalent.
Instructor Information
Instructor : Scott Strong
Office : Chauvenet Hall 278
Course Calander
Classes Begin : August 20th, 2008
Meeting Days : Monday, Wednesday, Friday
Course Sections :
Section E, 12:00pm-12:50pm, Hill Hall 204
Section D, 1:00pm-1:50pm, Green Center 265
Class Holidays :
October 13th-14th, 2008 - Fall Break
November 26th-28th, 2008 - Thanksgiving Break
Classes End : December 4th, 2008
Office Hours
Fixed Office Hours :
Tuesday and Thursday --- 1:00pm-3:00pm
If you cannot meet during the previous office hours then please contact me to schedule another meeting time.
Textbook Information
Textbook : Advanced Engineering Mathematics - Erwin Kreyszig,) ISBN 978-0-471-48885-9
Course Documents
These downloads require Adobe Acrobat Reader
Handouts
A61.TrigIdentities
|
Special Angles and the Unit Circle
|
FS for f(x}=x, x \in (-\pi,\pi)
|
FS for f(x}=Exp(Abs(x)), x \in (-\pi,\pi)
|
Graphs of different Bessel functions of different types.
|
Graphs of the zeroth and first order Bessel functions of the first kind.
Heat Movie 1 - abs(x)
Heat Movie 2 - parabola
Heat Movie 3 - Double V
The Well-Tempered Timpani By Richard K. Jones
Vibrating Membrane1 - 12.9.1 Example
Vibrating Membrane2 - 12.9.1 Example
Vibrating Membrane3 - 12.9.1 Example
Vibrating Membrane4 - 12.9.1 Example
Vibrating Membrane5 - 12.9.1 Example
Lecture Slides
|
Lecture 00 : Course Outline and Preliminary Discussion
|
Lecture 01 : Slides for 7.1 and 7.2
|
Lecture 02-05 : Slides for 7.3 and 7.5
|
Review of Functions
Syllabus
|
MATH348.Fall2008.Syllabus
Exams
Exam I
Exam I will be held on September 26th in class. There will be no notecards or calculators. The exam will be five questions and contain material outlined in the following review:
|
Exam 1 - Review Sheet
|
Exam 1
|
Exam 1 - Solutions
Exam I - Statistics
Average = 77.10%
Median = 80%
Mode = 84%
High = 100%
Low = 32%
Standard Deviation = 15.38
A's = 13, B's = 18, C's = 13, D's = 10, F's =5
Exam II
Exam I will be held on November 5th in class. There will be no notecards or calculators. The exam will be five questions and contain material outlined in the following review:
|
Exam 2 - Review Sheet
|
Exam 2 - Q + A
|
Exam 2
|
Exam 2 - Solutions
Final Exam
The final exam will be held on December 6th from 8:00am-10:00am in BB204A and is to be taken with no notecards or calculators. There will be ten questions five of which will be from previous material. Specifically, there will be a question asking you to find the general solution to a linear system of equations and interpret this solution geometrically. Also, from the linear algebra section there will be a question where you will need to find the eigenvalues and eigenvectors of a square matrix. Lastly, from the Fourier series section there will be questions where you will need to find a real Fourier series representation (FSR), complex FSR and a Fourier transform given some function of x. The remaining questions will be associated with partial differential equations.
|
Final Exam - Review Sheet
Assignments
|
Homework 1
|
Homework 1 - Solutions
|
Homework 2
Picture of a Parallelepiped (Thanks to a student for point this out to me) : [1]
|
Homework 2 - Solutions
|
Homework 3
|
Homework 3 - Solutions
|
Homework 4
|
Homework 4 - Solutions
|
Homework 5
|
Homework 5 - Solutions
|
Homework 6 : Note of L=1 then omega = pi.
|
Homework 6 - Solutions
|
Homework 7
|
Homework 7 - Solutions
|
Homework 8
|
Homework 8 - Solutions
|
Homework 9
|
Homework 9 - Solutions
|
Homework 10
|
Homework 10 - Solutions
|
|
Course Links
Graphing Utilities
Tutor-Homework Online Grapher
Graphmatica - Free Download - Shareware Distro
Graphmatica Website