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Lesson Plan - MCS 301

This lesson plan outlines a numerical methods course taught over six units across 28 sessions. The course covers topics like approximation, interpolation, numerical integration, solving systems of linear equations, solving algebraic equations, and solving ordinary differential equations. Methods taught include Newton forward/backward interpolation, Lagrange interpolation, Trapezoidal and Simpson's rules for integration, Gauss elimination, LU factorization, bisection, Regula-Falsi, Newton-Raphson, Euler's method, and Runge-Kutta. Five textbooks and four references are listed.

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164 views3 pages

Lesson Plan - MCS 301

This lesson plan outlines a numerical methods course taught over six units across 28 sessions. The course covers topics like approximation, interpolation, numerical integration, solving systems of linear equations, solving algebraic equations, and solving ordinary differential equations. Methods taught include Newton forward/backward interpolation, Lagrange interpolation, Trapezoidal and Simpson's rules for integration, Gauss elimination, LU factorization, bisection, Regula-Falsi, Newton-Raphson, Euler's method, and Runge-Kutta. Five textbooks and four references are listed.

Uploaded by

joydeep12
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
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LESSON PLAN

Prepared By: SOUPARNA CHANDRA (GHOSH)


Subject Name: NUMERICAL METHODS
Subject Code : M(CS) 301
Branch : ECE Semester: III

UNIT I
Syllabus : Approximation in numerical computation: Truncation and rounding errors, Fixed and
floating-point arithmetic, Propagation of errors. (4)

Session Topics to be covered Time


No
1 55m
2 55m
3 55m
4 55m

UNIT II
Syllabus : Interpolation: Newton forward/backward interpolation, Lagranges and Newtons divided
difference Interpolation. (5)

Session Topics to be covered Time


No
5 Introduction: Interpolation, 55m
6 Lagranges interpolation formula for unequal intervals. 55m
7 Newtons divided difference formula for unequal intervals. 55m
8 Problems in Numerical Differentiation (Newton forward formula) 55m
9 Problems in Numerical Differentiation (Newton backward formula) 55m

UNIT III
Syllabus : Numerical integration: Trapezoidal rule, Simpsons 1/3 rule, Expression for
corresponding error terms. (3)

Session Topics to be covered Time


No
10 Numerical Integration by Trapezoidal rule and problems 55m
11 Simpsons 1/3 rule and problems 55m
12 Double integration by Trapezoidal method. Problems 55m

Page 1 of 3
UNIT IV
Syllabus: Numerical solution of a system of linear equations:
Gauss elimination method, Matrix inversion, LU Factorization method, Gauss-Seidel iterative method.
(6)

Session Topics to be covered Time


No
13 Gauss Elimination method 55m
14 Gauss Elimination method 55m
15 Matrix Inversion by Gauss-Jordan method 55m
16 LU Factorization method 55m
17 Gauss-Seidel method 55m
18 Gauss-Seidel method 55m

UNIT V
Syllabus: Numerical solution of Algebraic equation:
Bisection method, Regula-Falsi method, Newton-Raphson method. (4)

Session Topics to be covered Time


No
19 Bisection method 55m
20 Regula-Falsi method 55m
21 Newton-Raphson method 55m
22 Newton-Raphson method 55m

UNIT VI
Syllabus: Numerical solution of ordinary differential equation: Eulers method, Runge-Kutta
methods, Predictor-Corrector methods and Finite Difference method. (6)

Session Topics to be covered Time


No
23 Taylors series method 55m
24 Eulers method 55m
25 Fourth order Runge-Kutta method for solving first order equations 55m
26 Fourth order Runge-Kutta method for solving second order 55m
equations
27 Milnes predictor-corrector methods for solving first order equations 55m
28 Finite difference methods for solving second order equation. 55m

Text Books:
1. C.Xavier: C Language and Numerical Methods.
2. Dutta & Jana: Introductory Numerical Analysis.
3. J.B.Scarborough: Numerical Mathematical Analysis.
4. Jain, Iyengar , & Jain: Numerical Methods (Problems and Solution).

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References:
1. Balagurusamy: Numerical Methods, Scitech.
2. Baburam: Numerical Methods, Pearson Education.
3. N. Dutta: Computer Programming & Numerical Analysis, Universities Press.
4. Soumen Guha & Rajesh Srivastava: Numerical Methods, OUP.
5. Srimanta Pal: Numerical Methods, OUP.

Page 3 of 3

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