Department of MathematicscorelabSem 7
SCIENTIFIC COMPUTING LAB
MAT 3241
Syllabus
- 01Basic of the MATLAB/Simulink programming, Live script, array, loop, function, plotting
- 02Approximations and Error
- 03Linear Algebraic Systems
- 04Solution of linear systems – built-in methods; implementation of Gaussian elimination
- 05Bases of column space and null space using RREF
- 06Eigenvalues and Eigenvectors-Matrices
- 07Curve fitting and Optimization and transportation planning
- 08Linear and Nonlinear Equation
- 09Regression and Interpolation
- 10Multistep, Boundary Value Problems- of PDE
- 11Finite Element Method
- 12Introduction to SageMath using Jupyter Notebook
- 13Linear algebra in SageMath. Matrix operations, eigenvalues, eigenspaces, characteristic and minimal polynomials, diagonalization. Matrices over different fields and rings; precision. Vector spaces, subspaces, bases. Matrix factorisations.
- 14Statistical computing (R software), data accessing, and indexing, packages, Graphics in R, built in functions, saving, storing and retrieving work
- 15Multivariate normal distributions, Principal component analysis, Factor analysis - 2 sessions, Multivariate regression, Discriminant analysis & Cluster analysis
References
- Robert J. Schilling and Sandra L. Harries, Applied Numerical Methods for Engineers using MATLAB and C, Thomson Learning Inc., 2000.
- Brian R Hunt, et al, Guide To Matlab: For Beginners and Experienced Users, (2e), Cambridge University Press, 2011.
- Fausett L.V., Applied Numerical Analysis Using MATLAB, (2e)., Pearson Education, 2007.
- MATLAB Programming Fundamentals. The MathWorks Inc. 2019.
- B.R. Hunt, R.L. Lipsman, J.M. Rosenburg. A Guide to MATLAB. Cambridge University Press. 2001.
- Sage Reference Manual (Release 8.9). SageMath. 2019.
Credits Structure
0Lecture
0Tutorial
6Practical
2Total