MATH-348 Advanced Engineering Mathematics - Fall 2008

From Physiki
Jump to: navigation, search
Main Page > Mathematical and Computer Sciences Course Wikis

Contents

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

Pdf.png 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
Personal tools
Namespaces
Variants
Actions
Navigation
Toolbox