Section |
|
Topic |
W |
Date |
|
3.1 |
sec3.1and3.2
lecture1 |
Introduction to Linear Systems |
1 |
Feb 20-Feb 24 |
Part I: Linear Algebra |
3.2 |
sec3.1and3.2 |
Matrices and Gaussian Elimination |
|
|
3.3 |
sec3.3 |
Reduced Row-Echelon Matrices |
|
|
3.3 |
|
Reduced Row-Echelon Matrices |
2 |
Feb 27-Mar 03 |
3.4 |
Sec 3.4 |
Matrix Operations |
|
|
3.5 |
Sec 3.5 |
Inverse of Matrices |
|
|
3.6 |
Sec 3.6 |
Determinants |
3 |
Mar 06-10 |
|
Chapter3 |
Solution types |
|
|
4.1 |
Sec 4.1 |
The Vector Space R3 |
|
|
4.2 |
Sec 4.2 |
The Vector Space Rn
& Subspaces |
|
|
4.3 |
Sec 4.3 |
Linear Combination & Independence of Vectors |
4 |
Mar 13-17 |
4.4 |
Sec 4.4 |
Bases & Dimension for Vector Spaces |
|
|
4.5 |
Sec 4.5 |
Row and Column Spaces |
5 |
Mar 20-24 |
6.1 |
Sec6.1 |
Introduction to Eigenvalues |
|
|
|
|
Review (Exam-1) |
|
|
|
|
Review (Exam-1) |
6 |
Mar 27-31 |
|
|
Exam -1 (Sund Mar 28) 6pm B54 ( 3.1 - 4.5 ) |
|
|
6.2 |
Sec6.2 |
Diagonalization of Matrices |
|
|
6.3 |
Sec6.3 |
Applications involving Powers of Matrices |
7 |
Apr 03- 07 |
7.5 |
Sec7.5-jordan |
Jordan form (pp 454-457) |
|
|
7.5 |
Sec7.5-jordan |
Jordan form (pp 454-457) |
8 |
Apr 10-14 |
1.1 |
Sec 1.1 |
Differential Equations and Mathematical Models |
|
|
PartII: Differential Equations |
1.2 |
|
Integrals as General & Particular Solutions (page: 10-11) |
|
|
Midterm |
|
Midterm Vacation |
|
Apr 17-21 |
1.4 |
Sec 1.4 |
Separable Equations & Applications |
9 |
Apr 24-28 |
1.5 |
Sec 1.5 |
Linear First-Order Equations |
|
|
|
|
Review (Exam-2) |
|
|
|
|
Review (Exam-2) |
10 |
May 01-05 |
|
|
Exam -2 (Sund May 2) 6pm B54 ( 6.1 - 1.5 ) |
|
|
1.6 |
Sec 1.6 |
Substitution Methods & Exact Equations |
|
|
2.4 |
|
Euler's Method |
|
|
5.1 |
Sec5.1 |
Second-Order Linear Equations |
11 |
May 08-12 |
5.2 |
Sec5.2 |
General Solutions of Linear Equations |
|
|
5.3 |
Sec5.3 |
Homogeneous Equations with Constant Coefficients |
12 |
May 15-19 |
5.5 |
Sec5.5p1,
Sec5p5p2 |
Method of Undetermined Coefficients |
|
|
7.1 |
Sec7.1 |
First-Order Systems & Applications |
13 |
May 22-26 |
7.2 |
Sec7.2 |
Matrices & Linear Systems |
|
|
7.3 |
Sec7.3 |
The Eigenvalue Method for Linear Systems |
14 |
May 29-Jun2 |
7.5 |
Sec7.5 |
Multiple Eigenvalue Solutions |
|
|
7.5 |
Sec7.5 |
Multiple Eigenvalue Solutions (contd.) |
15 |
Jun 5-9 |
|
Euler Equations |
Euler-Equations (5.1+5.3+5.5) |
|
|
|
|
Review |
|
|
|