Week  Topics  Study Materials  Materials 
1 
APPROXIMATION THEORY: Hermite polynomials


Richard L. Burden, J. Douglas Faires, Annette M. Burden, Numerical Analysis, 10E, Cengage Learning, 2016.
Section 3.4

2 
APPROXIMATION THEORY: Spline interpolation


Numerical Methods for Engineers, Steven C. Chapra and Raymond P. Canale, 8E, McGrawHill Education, 2021. Section 18.6.
Richard L. Burden, J. Douglas Faires, Annette M. Burden, Numerical Analysis, 10E, Cengage Learning, 2016. Section 3.4.

3 
CURVE FITTING: LeastSquares Regression, Linear Regression


Numerical Methods for Engineers, Steven C. Chapra and Raymond P. Canale, 8E, McGrawHill Education, 2021.
Chapter 17

4 
CURVE FITTING: Polynomial Regression, Multiple Linear Regression


Numerical Methods for Engineers, Steven C. Chapra and Raymond P. Canale, 8E, McGrawHill Education, 2021.
Chapter 17

5 
SYSTEMS OF NONLINEAR EQUATIONS: Fixed Points for Functions of Several Variables, Newton's Method


Richard L. Burden, J. Douglas Faires, Annette M. Burden, Numerical Analysis, 10E, Cengage Learning, 2016.
Chapter 10

6 
ORDINARY DIFFERENTIAL EQUATIONS: Euler’s Method, Improvements of Euler’s Method


Numerical Methods for Engineers, Steven C. Chapra and Raymond P. Canale, 8E, McGrawHill Education, 2021.
Chapter 25

7 
ORDINARY DIFFERENTIAL EQUATIONS: RungeKutta Methods, Systems of Equations


Numerical Methods for Engineers, Steven C. Chapra and Raymond P. Canale, 8E, McGrawHill Education, 2021.
Chapter 25

8 
ORDINARY DIFFERENTIAL EQUATIONS: Multistep Methods


Numerical Methods for Engineers, Steven C. Chapra and Raymond P. Canale, 8E, McGrawHill Education, 2021.
Chapter 25

9 
PARTIAL DIFFERENTIAL EQUATIONS: Elliptic Partial Differential Equations, Parabolic Partial Differential Equations, Hyperbolic Partial Differential Equations, Finite Difference for Elliptic Equations


Richard L. Burden, J. Douglas Faires, Annette M. Burden, Numerical Analysis, 10E, Cengage Learning, 2016. Chapter 12.
Numerical Methods for Engineers, Steven C. Chapra and Raymond P. Canale, 8E, McGrawHill Education, 2021. Chapter 2930.

10 
PARTIAL DIFFERENTIAL EQUATIONS: Finite Difference for Parabolic Equations


Richard L. Burden, J. Douglas Faires, Annette M. Burden, Numerical Analysis, 10E, Cengage Learning, 2016. Chapter 12.

11 
APPROXIMATING EIGENVALUES: Linear Algebra and Eigenvalues


Richard L. Burden, J. Douglas Faires, Annette M. Burden, Numerical Analysis, 10E, Cengage Learning, 2016. Chapter 9.

12 
APPROXIMATING EIGENVALUES: The Power Method


Richard L. Burden, J. Douglas Faires, Annette M. Burden, Numerical Analysis, 10E, Cengage Learning, 2016. Chapter 9.

13 
OPTIMIZATION:



14 
OPTIMIZATION:


