Math 418
Partial Differential Equations
Dr. Dana Paquin
Fall 2013 Course Schedule






Class Date Homework/Test Info

All homework assignments are posted on PolyLearn!

Topics Covered
1 Monday

September 23

Introduction to Partial Differential Equations
2 Tuesday

September 24

2.2: Solutions of PDEs
3 Thursday

September 26

1.2: Derivation of the Heat Equation

1.3: Boundary Conditions for the Heat Equation

1.4: Equilibrium Temperature Distribution

Read Section 1.5

4 Friday

September 27

1.2: Derivation of the Heat Equation

1.3: Boundary Conditions for the Heat Equation

1.4: Equilibrium Temperature Distribution

Read Section 1.5

5 Monday

September 30

2.3: Heat Equation with Zero Temperatures at Finite Ends

Separation of Variables

6 Tuesday

October 1

Homework 1 Due 2.3: Heat Equation with Zero Temperatures at Finite Ends

Initial Value Problems, Superposition, and Orthogonality of Sines

7 Thursday

October 3

2.4: Worked Examples with the Heat Equation (Other BVPs)
8 Friday

October 4

2.4: Worked Examples with the Heat Equation (Other BVPs)
9 Monday

October 7

2.5: Qualitative Properties of Laplace's Equation

The Mean Value Theorem

10 Tuesday

October 8

2.5: Qualitative Properties of Laplace's Equation

The Maximum Principle

11 Thursday

October 10

Homework 2 Due

Exam 1

12 Friday

October 11

Class meets in Kennedy Library, Room 111B (Learning Commons)! Visualizing Solutions of PDEs
13 Monday

October 14

2.5.2: Laplace's Equation Inside a Circular Disk
14 Tuesday

October 15

2.5.2: Laplace's Equation Inside a Circular Disk
15 Thursday

October 17

2.5.2: Laplace's Equation Inside a Circular Disk
16 Friday

October 18

Class meets in Kennedy Library, Room 111B (Learning Commons)! Fourier Series and Gibbs Phenomenon
17 Monday

October 21

3.1-3.3: Review of Fourier Series
18 Tuesday

October 22

3.4: Solving PDEs using Fourier Series
19 Thursday

October 24

3.4: Solving PDEs using Fourier Series
20 Friday

October 25

Homework 3 Due 3.4: Solving PDEs using Fourier Series
21 Monday

October 28

4.1-4.3: The Wave Equation
22 Tuesday

October 29

4.4: Vibrating String with Fixed Ends
23 Thursday

October 31

HW 4 Due The Plucked String
24 Friday

November 1

Class meets in Kennedy Library, Room 111B (Learning Commons)! Visualzing Solutions of The Wave Equation
25 Monday

November 4

Exam 2 Practice Problems
26 Tuesday

November 5

Exam 2
27 Thursday

November 7

12.1-12.3: Method of Characteristics for the Wave Equation
28 Friday

November 8

Individual Consultations (Exam 2, next course to take, etc.)
Monday

November 11

NO CLASS

Veterans Day

29 Tuesday

November 12

Method of Characteristics

d'Alembert's Solution of the Wave Equation

30 Thursday

November 14

d'Alembert's Solution of the Wave Equation
31 Friday

November 15

Method of Characteristics for General Constant Coefficient Equations
32 Monday

November 18

33 Tuesday

November 19

HW 6 Due Review of d'Alembert's Solution

Method of Characteristics for Variable Coefficient Equations

34 Thursday

November 21

Review for Exam 3
35 Friday

November 22

Exam 3
36 Monday

November 25

5.1-5.3: Sturm-Liouville Eigenvalue Problems
37 Tuesday

November 26

5.1-5.3: Sturm-Liouville Eigenvalue Problems
Thursday

November 28

NO CLASS

Thanksgiving Break

Friday

November 29

NO CLASS

Thanksgiving Break

38 Monday

December 2

5.3: Sturm-Liouville Eigenvalue Problems (Theorems 4-6)
39 Tuesday

December 3

Derivation of the Rayleigh Quotient

5.4: Heat Flow in a Nonuniform Rod without Sources

5.4 Practice Problems: 5.4.1, 5.4.2(b), 5.4.3

40 Thursday

December 4

5.4: Heat Flow in a Nonuniform Rod without Sources

5.4 Practice Problems

41 Friday

December 5

Ch. 5 Practice Problems (HW 7)

Review



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