Service from Sungkyunkwan University BK21 Math Modeling HRD Division, Copyright  http://bkmath.skku.ac.kr/  .

 

 

 

 

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 : Gauss-Jordan Elimination

7.8 Inverse of a matrix : Gauss-Jordan 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, Skew-symmetric 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 Cauchy-Riemann 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 value-1

13.7 Logarithm. General Power , principle value-2

     

Week 8

  + Mid-Term
 

Week 16

  + Final Exam

 

 

Made by Sang-Gu Lee with Gooc-Hwa Jo

 Service from Sungkyunkwan University BK21 Math Modeling HRD Division, Copyright  http://bkmath.skku.ac.kr/ .