Slides & Notes


 

Section
Slides
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