1
Week 2
MAT3320
A list of practice problems will be posted for every week of the class. A typical list
will contain:
1) A list of keywords of the topics we will see in class on that week
2) A list of problems related to the topics we will see in class on
Mathematics for Engineers
MAT3320
Assignment 5
Professor: Mathieu Lemire
Last Name:
First Name :
Student # :
Rules to follow:

Please print this page and use it as your cover letter.
You must show all the work that you did to obtain your final answers.
N
1
Week 10
MAT3320
Week 10: From July 4th to July 8th
(only lecture on Tuesday July 5th. Midterm 2 on July 7th)
Topics covered this week:
 Laplace Equation over a rectangle
Exercices:
Laplace Equation over a rectangle:
1. Given that the solution of the po
Mathematics for Engineers
MAT3320
Assignment 3
Professor: Mathieu Lemire
Last Name:
First Name :
Student # :
Rules to follow:

Please print this page and use it as your cover letter.
You must show all the work that you did to obtain your final answers.
N
Mathematics for Engineers
MAT3320 FALL 2016
Assignment 3
Professor: Mathieu Lemire
Last Name:
First Name :
Student # :
Rules to follow:
 Please print this assignment (and including this cover letter) and write
your solutions in the provided space.
 You
Mathematics for Engineers
MAT3320 FALL 2016
Assignment 5
Professor: Mathieu Lemire
Last Name:
First Name :
Student # :
Rules to follow:
 Please print this assignment (and including this cover letter) and write
your solutions in the provided space.
 You
Mathematics for Engineers
MAT3320 FALL 2016
Assignment 4
Professor: Mathieu Lemire
Last Name:
First Name :
Student # :
Rules to follow:
 Please print this assignment (and including this cover letter) and write
your solutions in the provided space.
 You
Mathematics for Engineers
MAT3320 FALL 2016
Assignment 2
Professor: Mathieu Lemire
Last Name:
First Name :
Student # :
Rules to follow:
 Please print this assignment (and including this cover letter) and write
your solutions in the provided space.
 You
1
Practice problems List Week 11
MAT3320
Week 11: From July 11th to July 15th
Topics covered this week:
 Wave problem over circular region
 Orthogonal relationship of J0 (x)
 Identities of Bessels functions
Wave problem over cirucular region
1. Given t
1
Practice problems List Week 12
MAT3320
Week 12: From July 18th to July 22nd
Topics covered this week:
 Potential problems inside and outside a circle
 Potential problems between two circles
 Potential problems inside and outside a sphere
Potential pr
1
Week 8
MAT3320
Week 8: From October 31st to November 4th
Topics covered this week:
 Partial differential equation (PDE)
 Separation of variables
Exercices:
Separation of variables to solve Partial differential equations:
1. a) Solve the partial differ
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Week 4
MAT3320
Week 4: From September 26th to September 30th
Topics covered this week:

Frobenius Method (conclusion)
CauchyEuler equation
Legendre Equation
Solution of Legendre Equation
Legendres Polynomials
Rodrigues Formula
Orthogonal relationship
1
Week 3
MAT3320
Week 3: From September 19 to September 24
Topics covered this week:

Regular Singular point
Indicial equation
Frobenius Method
CauchyEuler Equations and their solutions
Exercices:
Regular Singular Point:
1. For each of the following dif
Mathematics for Engineers
MAT3320 FALL 2016
Assignment 1
Professor: Mathieu Lemire
Last Name:
First Name :
Student # :
Rules to follow:
 Please print this assignment (and including this cover letter) and write
your solutions in the provided space.
 You
1
Week 9
MAT3320
Week 9: From November 7th to November 11th
Topics covered this week:
 Wave problem in one dimension
 Heat problem in one dimension
 Wave problem in rectangular region (beginning of)
Exercices:
Wave problems in one dimension:
1. Given t
1
Week 7
MAT3320
Week 7: From October 17 to October 21st
Topics covered this week:
 Fourier Cosine function
 Tabular method (or DI method) (see class notes or google it online for more details)
 Fourier Sine function
 Equality between a function and i
1
Week 5
MAT3320
Week 5: From October 3rd to October 7th
Topics covered this week:
Topics covered this week:

FourierLegendre expansion of functions over interval other than (1,1)
Gamma function and its properties
Bessels Equation
Solutions of Bessels
1
Week 1
MAT3320
A list of practice problems will be posted for every week of the class. A typical list
will contain:
1) A list of keywords of the topics we will see in class on that week
2) A list of problems related to the topics we will see in class on
1
Week 6
MAT3320
Week 6: From October 10th to October 14
Topics covered this week:

Periodic function
Period of a function
Fourier series of a periodic function
Even and Odd function
Exercices:
Periodic Function:
1. Find the period of the given periodic
1
Week 5
MAT3320
Week 5: From May 30th to June 3rd
Topics covered this week:

FourierLegendre expansion of functions over interval other than (1,1)
Gamma function and its properties
Bessels Equation
Solutions of Bessels Equation
Jn (x), J (x), J (x), J
1
Week 4
MAT3320
Week 4: From May 23rd to May 27th
Topics covered this week:

Frobenius Method (conclusion)
Legendre Equation
Solution of Legendre Equation
Legendres Polynomials
Rodrigues Formula
Orthogonal relationship for Legendres polynomials
Fourier
1
Week 8
MAT3320
Week 8: From June 20 to June 24
Topics covered this week:
 Wave problems in one dimension
 Heat problems in one dimension
Suggestions:
 Many integrals in this course involve the use of the integration method called Integration by parts
Mathematics for Engineers
MAT3320
Assignment 4
Professor: Mathieu Lemire
Last Name:
First Name :
Student # :
Rules to follow:

Please print this page and use it as your cover letter.
You must show all the work that you did to obtain your final answers.
N
Mathematics for Engineers
MAT3320
Assignment 1
Professor: Mathieu Lemire
Last Name:
First Name :
Student # :
Rules to follow:

Please print this page and use it as your cover letter.
You must show all the work that you did to obtain your final answers.
N
Mathematics for Engineers
MAT3320
Assignment 2
Professor: Mathieu Lemire
Last Name:
First Name :
Student # :
Rules to follow:

Please print this page and use it as your cover letter.
You must show all the work that you did to obtain your final answers.
N