MATH-348 Advanced Engineering Mathematics - Fall 2008

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Office : [http://www.mines.edu/csm_maps/buildings/ChauvenetHall/ Chauvenet Hall 278]
 
Office : [http://www.mines.edu/csm_maps/buildings/ChauvenetHall/ Chauvenet Hall 278]
  
Office Phone : 303.384.2446
 
 
email : math348.spring2008@gmail.com
 
 
 
==Course Calander ==
 
==Course Calander ==
 
Classes Begin : August 20th, 2008
 
Classes Begin : August 20th, 2008
Line 48: Line 44:
 
{{Start PDF Table}}
 
{{Start PDF Table}}
 
==Handouts==
 
==Handouts==
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{{PDF Table Item|filename=A61-TrigFormula.pdf|title=A61.TrigIdentities}}
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{{PDF Table Item|filename=Unit_Circle.pd‎f|title=Special Angles and the Unit Circle}}
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{{PDF Table Item|filename=Example11.1.1.pdf|title=FS for f(x}=x, x \in (-\pi,\pi)}}
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{{PDF Table Item|filename=Example11.1.2.pdf|title=FS for f(x}=Exp(Abs(x)), x \in (-\pi,\pi)}}
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{{PDF Table Item|filename=BesselFxnAll.pd‎f|title=Graphs of different Bessel functions of different types. }}
 +
{{PDF Table Item|filename=BesselFxn01.pd‎f|title=Graphs of the zeroth and first order Bessel functions of the first kind.}}
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[http://www.mines.edu/~sstrong/AEM_Materials/V.mp4 Heat Movie 1 - abs(x)]
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 +
[http://www.mines.edu/~sstrong/AEM_Materials/parabola.mp4 Heat Movie 2 - parabola]
 +
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[http://www.mines.edu/~sstrong/AEM_Materials/doubleV.mp4 Heat Movie 3 - Double V]
 +
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[http://music.nebrwesleyan.edu/wtt/index.html The Well-Tempered Timpani By Richard K. Jones]
 +
 +
[http://www.mines.edu/~sstrong/AEM_Materials/Membrane1.mp4 Vibrating Membrane1 - 12.9.1 Example]
 +
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[http://www.mines.edu/~sstrong/AEM_Materials/membrane2.mp4 Vibrating Membrane2 - 12.9.1 Example]
 +
 +
[http://www.mines.edu/~sstrong/AEM_Materials/Mambrane3.mp4 Vibrating Membrane3 - 12.9.1 Example]
 +
 +
[http://www.mines.edu/~sstrong/AEM_Materials/Mambrane4.mp4 Vibrating Membrane4 - 12.9.1 Example]
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[http://www.mines.edu/~sstrong/AEM_Materials/Mambrane5.mp4 Vibrating Membrane5 - 12.9.1 Example]
 +
 
==Lecture Slides==
 
==Lecture Slides==
{{PDF Table Item|filename=Math348_l00.fall2008.pdf|title=Lecture 00 - Course Outline and Preliminary Discussion}}
+
{{PDF Table Item|filename=Math348_l00.fall2008.pdf|title=Lecture 00 : Course Outline and Preliminary Discussion}}
{{PDF Table Item|filename=Math348_l01b.fall2008.pdf|title=Lecture 01 - Slides for 7.1 and 7.2}}
+
{{PDF Table Item|filename=Math348_l01b.fall2008.pdf|title=Lecture 01 : Slides for 7.1 and 7.2}}
{{PDF Table Item|filename=Math348_l03.fall2008.pdf|title=Lecture 02:05 - Slides for 7.3 and 7.5}}
+
{{PDF Table Item|filename=Math348_l03.fall2008.pdf|title=Lecture 02-05 : Slides for 7.3 and 7.5}}
 +
{{PDF Table Item|filename=Math348_l04.fall2008.pdf|title= Review of Functions}}
  
 
==Syllabus ==
 
==Syllabus ==
  
 
{{PDF Table Item|filename=Math348_syllabus.fall2008b.pdf|title=MATH348.Fall2008.Syllabus}}
 
{{PDF Table Item|filename=Math348_syllabus.fall2008b.pdf|title=MATH348.Fall2008.Syllabus}}
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==Exams ==
 +
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===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:
 +
{{PDF Table Item|filename=Math348_e1review.fall2008.pdf|title=Exam 1 - Review Sheet}}
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{{PDF Table Item|filename=Math348_e1.fall2008.pdf|title=Exam 1 }}
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{{PDF Table Item|filename=Math348_e1Soln.fall2008.pdf|title=Exam 1 - Solutions}}
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 +
    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:
 +
{{PDF Table Item|filename=Math348_e2review.fall2008.pdf|title=Exam 2 - Review Sheet}}
 +
{{PDF Table Item|filename=Math348_e2QA.fall2008.pdf|title=Exam 2 - Q + A}}
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{{PDF Table Item|filename=Math348_e2.fall2008.pdf|title=Exam 2 }}
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{{PDF Table Item|filename=Math348_e2Soln.fall2008.pdf|title=Exam 2 - Solutions}}
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===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.
 +
 +
{{PDF Table Item|filename=Math348_eFinalreview.fall2008.pdf|title=Final Exam - Review Sheet}}
  
 
==Assignments==
 
==Assignments==
 
{{PDF Table Item|filename=Math348_hw1.fall2008.pdf|title=Homework 1}}
 
{{PDF Table Item|filename=Math348_hw1.fall2008.pdf|title=Homework 1}}
 +
{{PDF Table Item|filename=Math348_hw1.soln.fall2008.pdf|title=Homework 1 - Solutions}}
 
{{PDF Table Item|filename=Math348_hw2.fall2008.pdf|title=Homework 2}}
 
{{PDF Table Item|filename=Math348_hw2.fall2008.pdf|title=Homework 2}}
 +
Picture of a Parallelepiped (Thanks to a student for point this out to me) : [http://commons.wikimedia.org/wiki/Image:Determinant_parallelepiped.svg]
 +
{{PDF Table Item|filename=Math348_hw3.soln.fall2008.pdf|title=Homework 2 - Solutions}}
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{{PDF Table Item|filename=Math348_hw3.fall2008.pdf|title=Homework 3}}
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{{PDF Table Item|filename=Math348_hw2.soln.fall2008.pdf|title=Homework 3 - Solutions}}
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{{PDF Table Item|filename=Math348_hw4.fall2008.pdf|title=Homework 4}}
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{{PDF Table Item|filename=Math348_hw4.soln.fall2008.pdf|title=Homework 4 - Solutions}}
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{{PDF Table Item|filename=Math348_hw5.fall2008.pdf|title=Homework 5}}
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{{PDF Table Item|filename=Hw1Soln.pdf|title=Homework 5 - Solutions}}
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{{PDF Table Item|filename=Math348_hw6.fall2008.pdf|title=Homework 6 : Note of L=1 then omega = pi. }}
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{{PDF Table Item|filename=Math348_hw6.soln.fall2008.pdf|title=Homework 6 - Solutions}}
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{{PDF Table Item|filename=Math348_hw7a.fall2008.pdf|title=Homework 7}}
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{{PDF Table Item|filename=Math348_hw7.soln.fall2008.pdf|title=Homework 7 - Solutions}}
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{{PDF Table Item|filename=Math348_hw8.fall2008.pdf|title=Homework 8}}
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{{PDF Table Item|filename=Math348_hw8.soln.fall2008.pdf|title=Homework 8 - Solutions}}
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{{PDF Table Item|filename=Math348_hw9.fall2008.pdf|title=Homework 9}}
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{{PDF Table Item|filename=348.Hw6.s08Soln.pdf|title=Homework 9 - Solutions}}
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{{PDF Table Item|filename=Math348_hw10.fall2008.pdf|title=Homework 10}}
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{{PDF Table Item|filename=348.Hw10.s08Soln.pdf|title=Homework 10 - Solutions}}
 
{{End PDF Table}}
 
{{End PDF Table}}
  

Latest revision as of 21:28, 15 November 2015

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

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