MAT 305 - Calculus IV, Spring 2003

Topics and Assignments

 
 
 
 
 
 
 
 
           Week                                                                  Topics                         Assignments
Jan 22 - 24
Introduction and Review : Chapter 1, Section 2.1
 Problems with a (*) are not
 compulsory!
Jan 27 - 31
First Order Differential Equations
Methods of Solving Differential Equations : 2.2, 2.6
Existence of Solutions : 2.8
 Section 1.3: 5, 6
 Section 2.1: 15, 16, 17, 28
 Section 2.2: 4, 6, 10, 25
 Section 2.4: read this section!
 Section 2.6: 4, 6, 18, 19, 27
 due February 6th
Feb 3 - 7
 
Second Order Differential Equations
Homogeneous Equations
Fundamental Solutions : 3.1, 3.2
Linear Spaces of Solutions : 3.3
 Section 2.8: 4, 7
 Section 3.1: 5, 6, 11, 12, 33, 34
 Section 3.2: 4, 9, 14, 19, 24, 31
 due February 13th
Feb 10 - 14
 
Constant Coefficient Equations
Complex and Repeated Roots : 3.4, 3.5
Non-homogeneous Equations : 3.6, 3.7
 Section 3.3: 4, 8, 10, 17, 21, 25
 Section 3.4: 10, 12, 18, 19
 Section 3.5: 6, 14, 20, 25
 Section 3.6: 3, 7
 due February 20th
Feb 17 - 21
 
MIDTERM 1 postponed until next week
Review
Practice problems (PDF), (PostScript)
 Section 3.4: 34*, 37
 Section 3.5: 28, 31
 Section 3.6: 13, 15, 17, 32*, 33
 Section 3.7: 2, 9, 14, 17, 28*, 30
 due February 27th
Feb 24 - 28
 
MIDTERM 1 (Monday 24th February)
Power Series Solutions
Review of Series : 5.1, 5.2
 Section 3.7: 18, 29
 Section 5.1: 4, 6, 13, 14, 17, 23, 24, 28
 Section 5.2: 7, 8, 9
 due March 6th
Mar 3 - 7
 
Series Solutions
Ordinary Points : 5.3
Regular Singular Points and Euler Equations : 5.4, 5.5, 5.6
 Section 5.2: 19, 21
 Section 5.3: 6, 8, 13, 17, 22*, 23*
 Section 5.4: 8, 9, 18, 19
 Section 5.5: 4, 6, 15, 18, 19
 due March 13th
Mar 10 - 14
 
Series Solutions
Regular Singular Points : 5.6, 5.7
Bessel's Equations : 5.8
 Section 5.6: 3, 4, 10, 11, 13, 14
 Section 5.7: 3, 4, 5, 6, 13, 16, 20*
 Section 5.8: 1, 6, 8, 9*, 10*
 due March 27th
Mar 17 - 21
 
Mid-Semester Break
Do Some Revision!
 
Mar 24 - 28
 
The Laplace Transform
Definition and solution of IVPs : 6.1, 6.2
Discontinuous functions : 6.3, 6.4
 Section 5.2: 2, 5, 12
 Section 5.8: 3, 4
 Section 6.1: 5, 7, 17, 19
 Section 6.2: 5, 8, 14, 16, 22, 27*
 due April 3rd
Mar 31 - Apr 4
 
MIDTERM 2 (Wednesday 2nd April)
Review
Practice problems (PDF), (PostScript)
 Section 6.3: 2, 9, 14, 18
 Section 6.4: 3, 7, 9, 15
 due April 10th
Apr 7 - 11
 
The Laplace Transform
Impulse functions and convolution : 6.5, 6.6
 Section 6.5: 4, 6, 16 (part (d) is optional)
 Section 6.6: 6, 7, 9, 10, 13, 16
 Section 10.1: 3, 8, 13
 Section 10.2: 11, 14, 16, 17
 due April 24th
Apr 14 - 15
 
Fourier Series
Boundary value problems and Fourier series : 10.1, 10.2
 Continue last week's homework
 due April 24th
Apr 21 - 25
 
Fourier series, even and odd functions : 10.3, 10.4
Partial Differential Equations
The heat equation and separation of variables : 10.5
 Section 10.3: 4, 5, 8, 9, 12, 14*, 15*
 Section 10.4: 8, 9, 17, 18, 24, 35
 Section 10.5: 2, 5, 8, 10, 12, 22*
 due May 1st
Apr 28 - May 2
 
The heat equation : 10.6
The wave equation : 10.7
 Section 10.5: 9, 13
 Section 10.6: 2, 4, 9, 11, 14, 18
 Section 10.7: 2, 6, 9, 10, 22* (ignore part (d) in 2, 6, 10)
 due May 8th
May 5 - 9
 
Review
Practice problems (PDF), (PostScript)
 
 
May 12 - 16
 
I will be available to answer revision questions on the
afternoon of Friday 16th, in my office 4-104. If you need
to see me at another time please make an appointment.
 
 
May 19
 
FINAL EXAM (Monday 19th May)
In Grad Chem 126 (where the lectures were held)
Note the time: 5-7:30pm !!!
 
 


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This page last modified by Justin Sawon
Wednesday, 07-May-2003 18:39:52 EDT
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