| Date
Section | Topics | Assignment/Solutions | Due Date |
|---|---|---|---|
|
Jan 11
(7.1)&(7.2) | Matrix and Matrix Algebra | Assignment 1
Solutions | Jan. 13 |
|
Jan 13
(7.3) | Matrix Multiplication | Assignment 2
Solutions - Page 1 Solutions - Page 2 | Jan. 18 |
|
Jan 18
(7.4) | System of linear equations | Assignment 3
Solutions - Page 1 Solutions - Page 2 | Jan. 20 |
|
Jan 20
(7.4) | System of linear equations | Assignment 4
Solutions - Page 1 Solutions - Page 2 | Jan. 25 |
|
Jan 25
(7.5)-(7.7) | Linear Independence, rank of a matrix,
solution of linear systems, and inverse matrices | Assignment 5
Solutions | Jan. 27 |
|
Jan 27
(7.5),(7.8) | Solve systems using inverse matrices, determinants | Assignment 6
Solutions - Page 1 Solutions - Page 2 Error in solutions: Problem 1(a) X=[-20 -5;-34 7] Problem 1(b) X=(1/5)[0 -10;-10 10]=[0 -2;-2 2] | Feb. 1 |
|
Feb. 1
(7.9) | Cramer's rule for solving linear systems | Assignment 7
Solutions - Page 1 Solutions - Page 2 | Feb. 5 |
|
Feb. 5
(7.10) | Eigenvalues and eigenvectors of a matrix | Assignment 8
Solutions - Page 1 Solutions - Page 2 | Feb. 10 |
|
Feb. 10
(7.15) (1.1) | Vector Spaces and Differential Equations | Assignment 9
Solutions - Page 1 Solutions - Page 2 | Feb. 15 |
|
Feb. 15
(1.2), (1.4)-(1.5) | Differential Equations: Separable, Reduction to Separable and Exact | Assignment 10
Solutions - Page 1 Solutions - Page 2 Solutions - Page 3 Solutions - Page 4 | Feb. 19 |
|
Feb. 19
(1.1)-(1.2), (1.4)-(1.5) | Review: basic concept, separable, reduction to separable and exact
differential equations | Assignment 11
Solutions | |
|
Feb. 24
(1.7), | Linear Differential Equations and Integrating Factor | Assignment 12
Solutions - Page 1 Solutions - Page 2 Solutions - Page 3 | Mar. 1 |
|
Mar 1
(1.8) | Applications of first order differential equations (1.8) | Assignment 13
Solutions - Page 1 Solutions - Page 2 Solutions - Page 3 | Mar. 3 |
|
Mar 3
(2.1)-(2.2) (3.1)-(3.2) | Concepts of the second and higher order differential equations (2.1)&
(3.1)
homogeneous equations with constant coefficients (2.2)&(3.2) | Assignment 14
Solutions - Page 1 Solutions - Page 2 Solutions - Page 3 | Mar. 8 |
|
Mar 8
(2.2)-(2.3), (2.6) (3.2) | Homogeneous linear differential equations with constant coefficients
(2.2)-(2.3) & (3.2)
and Euler-Cauchy equations (2.6) | Assignment 15
Solutions - Page 1 Solutions - Page 2 Solutions - Page 3 | Mar. 10 |
|
Mar 10
(2.9), (3.4) | Nonhomogeneous Linear Differential Equations and
Method of Undetermined Coefficients (2.9)&(3.4) | Assignment 16
Solutions - Page 1 Solutions - Page 2 Solutions - Page 3 Solutions - Page 4 | Mar. 15 |
|
Mar 15
(2.10), (3.5) | Nonhomogeneous Linear Differential Equations and
Method of Variation of Parameters (2.10)&(3.5) | Assignment 17
Solutions - Page 1 Solutions - Page 2 Solutions - Page 3 Solutions - Page 4 Solutions - Page 5 Solutions - Page 6 Solutions - Page 7 | Mar. 22 |
|
Mar 22
(2.11)-(2.12) | Applications | Assignment 18
Solutions - Page 1 Solutions - Page 2 Solutions - Page 3 Solutions - Page 4 | Mar. 26 |
|
Mar 26
(2.11),(4.3) | Application and System of first order linear differential equations | Assignment 19
Solutions - Page 1 Solutions - Page 2 | April 7 |
|
April 7
(4.3)&(4.6) | System of first order linear differential equations | Assignment 20
Solutions - Page 1 Solutions - Page 2 Solutions - Page 3 | April 12 |
|
April 14
(5.1) | Power Series and Power Series Solutions
Example: Power Series Method - 1 Example: Power Series Method - 2 | Assignment 21
Solutions - Page 1 Solutions - Page 2 | April 19 |
|
April 19
(5.2)-(5.4) | Power Series Solutions, Legendre's polynomials,
and Frobenius Method Example: Singular Points Example: Forbenius Method - 1 Example: Forbenius Method - 2 Example: Forbenius Method - 3 | Assignment 22
Solutions - Page 1 Solutions - Page 2 Solutions - Page 3 Solutions - Page 4 Solutions - Page 5 Solutions - Page 6 | April 23 |
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