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MA 572
Numerical Analysis
Instructor:
S. Natesan, Office: E 308, Extn. 2613
Prerequisites:
Nil
Policy of Attendance
Attendance in all
lecture and tutorial classes is compulsory.
Students, who do
not meet 75% attendance requirement will not be allowed to write the end
semester examination.
For attendance in
the classes, attendance sheets will be circulated.
Each student is
expected to sign against his/her name only.
In case, any
student is found marking proxy for some other student, an appropriate
disciplinary action will be taken on both students involved in the proxy
matter.
Random attendance
will also be taken.
Syllabus
Definition and sources of errors,
solutions of nonlinear equations; Bisection method, Newton's
method and its variants, fixed point iterations, convergence
analysis; Newton's method for non-linear systems; Finite
differences, polynomial interpolation, Hermite
interpolation, spline interpolation; Numerical integration -
Trapezoidal and Simpson's rules, Gaussian quadrature,
Richardson extrapolation; Initial value problems - Taylor
series method, Euler and modified Euler methods, Runge-Kutta
methods, multistep methods and stability; Boundary value
problems - finite difference method, collocation method.
Texts:
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D. Kincaid and W. Cheney, Numerical Analysis:
Mathematics of Scientific Computing, 3rd Edn., AMS,
2002.
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K. E. Atkinson, Introduction to Numerical
Analysis, 2nd Edn., John Wiley, 1989.
References:
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S. D. Conte and Carl de Boor, Elementary Numerical Analysis -
An Algorithmic Approach, 3rd Edn., McGraw Hill, 1980.
Lecture
Timings
| Wednesday |
12:00
- 12:55 |
| Thursday |
12:00 -
12:55
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|
Friday |
12:00 - 12:55 |
Lab
Timings
Venue:
Evaluation
Plan
| Quiz I |
|
10 marks |
Mid-semester Examination
(Two hours exam) |
|
30 marks |
| Quiz II |
|
10 marks |
End-semester Examination
(Three hours exam) |
|
50 marks |
| Total |
|
100 marks |
No make up examinations will be
held.
Recently updated on June 18, 2022.
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