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CE 601 Numerical Methods

COURSE SCHEDULE

Week	Monday	Tuesday	Wednesday	Thursday	Friday	Saturday	Sunday
1			30/07/2014 *Lecture 1* *Introduction*
2	04/08/2014 *Lecture 2* *Introduction to Numerical Methods*	05/08/2014 *Lecture 3* *System of Linear Algebraic Equations-1*	06/08/2014 No Class Friday Time Table
3	11/08/2014 *Lecture 4* *Gauss Elimination Method*	12/08/2014 *Lecture* 5 *LU Decomposition*	13/08/2014 *Lecture 6* *Banded Matrix and Thomas Algorithm*
4	18/08/2014 *Lecture 7* *Drawbacks of Elimination Methods, Condition Number*	19/08/2014 *Lecture 8* *Iterative Methods to Solve Linear Systems*	20/08/2014 *Lecture 9* *Solution of Non-Linear Equations-1*
5	25/08/2014 *Lecture 10* *Open Domain Methods*	26/08/2014 *Lecture 11* *Secant Method; Muller's Method*	27/08/2014 *Lecture 12* *Solutions of Polynomials; System of Non-linear Equations*
6	01/09/2014 *Lecture 13* *Non-Linear Systems; Polynomial Approximations*	02/09/2014 *Lecture 14* *Polynomials Approx. (Contd..)*	03/08/2014 *Lecture 15* *Difference Polynomials; Multi-Variate Approx.*
7	08/09/2014 *Lecture 16* *Cubic Splines*	09/09/2014 *Lecture 17* *Cubic Splines;* *Method of Least Squares*	10/09/2014 *Lecture 18* *Multi-Variate Regression; Num Difg.*
8	15/09/2014 *Lecture 19* *Numerical Differentiation-1*	16/09/2014 *Lecture 20* *Numerical Differentiation-2*	17/09/2014 *Lecture 21* *Numerical Integration-1*
9		23/09/2014 Mid Semester Exam
10	29/09/2014 No Lecture	30/09/2014 *Lecture 22* *Ordinary Differential Equations-1*	01/10/2014 No Class Thursday Time Table
11	Holiday	07/10/2014 *Lecture 23* *Initial Value ODEs-1*	08/10/2014 *Lecture 24* *IV-ODE-2: Second Order Euler*
12	13/10/2014 *Lecture 25* *IV-ODE-3: Runge-Kutta Methods-1*	14/10/2014 *Lecture 26* *Runge-Kutta Methods-2*	15/10/2014 *Lecture 27* *Multi-Point Methods*
13	20/10/2014 *Lecture 28* *Boundary-Value ODEs*	21/10/2014 *Lecture 29* *Partial Differential Equations-1*	22/10/2014 *Lecture 30* *Elliptic-PDE, Parabolic PDE*
14	27/10/2014 *Lecture 31* *Classification of PDEs*	28/10/2014 *Lecture 32* *PDE Characteristics; FDM for Parabolic PDEs*	29/10/2014 *Lecture 33* *FDM for Parabolic PDEs; Hyperbolic PDEs*
15	03/11/2014 *Lecture 34 Introduction to FEM-1*	Holiday	05/11/2014 *Lecture 35 Rayleigh-Ritz; Weighted Galerkin*
16	10/11/2014 *Lecture 36 Weighted Galerkin Method Steps*	11/11/2014 *Lecture 37 Galerkin FEM-1*	12/11/2014 *Lecture 38 1D Galerkin FEM-2*			15/11/2014 *Lecture 39* *2D Galerkin FEM-1*
17	17/11/2014 *Lecture 40* *2D Galerkin FEM-2*	18/11/2014 *Lecture 41* *Eigen Values & Eigen Vectors*	19/11/2014 *Lecture 42*				23/09/2014 End Semester Exam
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Course Text Book:

1) Joe D. Hoffman (2001). Numerical Methods for Engineers and Scientists. Second Edition Revised and Expanded. MARCEL DEKKER, INC.

Reference Books:

1) Saumyen Guha and Rajesh Srivastava (2010). Numerical Methods for Engineering and Science. OXFORD HIGHER EDUCATION