Week 1
7.1 Matrices
7.2 Matrix multiplication
7.3 Linear system of Equations: Gauss Elimination


Week 9
11.7 Fourier Integral
11.8 Fourier Cosine and Sine Transform




Week 2
7.4 Rank
7.5 Solutions of Linear systems


Week 10
12.1 Basic Concepts
12.2 Modeling: Vibrating String. Wave equation
12.3 Solution by Separating Variables. Use of Fourier Series




Week 3
7.8 Inverse of a matrix : GaussJordan Elimination
7.8 Inverse of a matrix : GaussJordan Elimination
7.9 Linear transformations


Week 11
12.4 D’Alembert’s Solution of Wave equation
12.5 Heat equation: Solution by
Fourier Series




Week 4
8.1 Eigen Values and Eigen Vectors
8.3 Symmetric, Skewsymmetric and Orthogonal
matrices


Week 12
13.1 Complex numbers. Complex plane
13.2 Polar form. Powers and roots




Week 5
8.4 Diagonalization , Quadratic forms
8.5 Complex Matrices and Forms


Week 13
13.3 Derivative: analytic function
13.4 CauchyRiemann Equations. Laplace’s
equation




Week 6
11.1 Fourier Series
11.2 Functions of any period p = 2L


Week 14
13.5 Exponential function
13.6 Trigonometric and Hyperbolic functions




Week 7
11.3 Even and Odd functions. Half Range expansions
11.4 Complex Fourier series


Week 15
13.7 Logarithm. General Power , principle value1
13.7 Logarithm. General Power , principle value2




Week 8
+ MidTerm 

Week 16
+ Final Exam
