Mathematical Methods in Engineering and Science
COURSE SCHEDULE
| Date/Time | 9:00-10:00 | 10:00-11:00 | 11:30-12:30 | L U N C H B R E A K |
14:30-15:30 | 15:30-16:30 | 17:00-18:00 |
| 27/02/07 | Registration & Inauguration | Orientation/Preliminary Background | Matrices and Linear Transformations | Operational Fundamentals of Linear Algebra | Matlab Tutorial-I (SSG) |
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| 28/02/07 | Systems of Linear Equations | Gauss Elimination Family of Methods | Library Visit | Special Topics in Linear Systems | Numerical Aspects in Linear Systems | Matlab Tutorial-II (SSG) |
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| 01/03/07 | Tutorial I (KD) |
Eigenvalues and Eigenvectors | Diagonalization and Similarity Trasformation | Tutorial II (KD) |
Jacobi and Givens Rotation Methods | Householder Transformation and Tridiagonal Matrices | |
| 02/03/07 | Tutorial III (KD) |
QR Decopmosition Methods | Eigenvalue Problem of General Matrices | Tutorial IV (KD) |
Singular Value Decomposition | Vector Spaces & Topics in Multivariate Calculus |
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| 03/03/07 | Tutorial V (KD) |
Vector Analysis: Curves and Surfaces | Scalar & Vector Fields | PDLIa (ASR) |
Integral Theorems | PDLIb (ASR) |
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| Sunday | |||||||
| 05/03/07 | Tutorial VI (BB) |
Polynomial Equations | Solutions of Nonlinear Equations and Systems | L U N C H B R E A K |
PDLIIa (ASR) |
Optimization: Introduction | PDLIIb (ASR) |
06/03/07 | Tutorial VII (BB) |
Multivariate Optimization(contd.) | Multivariate Optimization(concl.) | Tutorial VIII (BB) |
Methods of Nonlinear Optimization | Constrained Optimization |
| 07/03/07 | Tutorial IX (BB) |
Linear & Quadratic Programming | Optimization Summary | PDLIIIa (VKM) |
Interpolation and Approximation | PDLIIIb (VKM) |
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| 08/03/07 | Tutorial X (BB) |
Basic Methods of Numerical Integration | Advanced Topics in Numerical Integration | Tutorial XI (BB) |
Numerical Solution of ODE's | ODE Solution: Advance Issues(contd.) | |
| 09/03/07 | Tutorial XII (BB) |
ODE Solution: Advance Issues(concl) | Existence and Uniqueness Theory | PDLIVa (VKM) |
First Order ODE's | PDLIVb (VKM) |
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| 10/03/07 | Tutorial XIII (TS) |
Second Order Linear Homogenous ODE's | Second Order Linear Non-Homogenous ODE's | Higher Order Linear ODE's | Laplace Transforms | ||
| Sunday | |||||||
| 12/03/07 | ODE Systems | Stability of Dynamic Systems | Tutorial XIV (TS) |
L U N C H B R E A K |
Tutorial XV (TS) |
Series Solutions and Special Functions | Sturm-Liouville Theory |
| 13/03/07 | Fourier Series and Integrals | Fourier Transforms | Tutorial XVI (TS) |
PDLVa (DV) |
Minimax Approximation | PDLVb (DV) |
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| 14/03/07 | Partial Differential Equations(contd.) | Partial Differential Equations(concl.) | Tutorial XVII (TS) |
Tutorial XVIII (TS) |
Analytic Functions | Integrals in the Complex Plane | |
| 15/03/07 | Singularities of Complex Functions | Variational Calculus(contd.) | Tutorial XIX (TS) |
Mathematics Quiz Programme | |||
| 16/03/07 | Tutorial XX (TS) |
Discussion | PDLVIa (DV) |
Variational Calculus(concl.) | PDLVIb (DV) |
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| 17/03/07 | Tutorial XXI (KD) |
PDLVIIa (DV) |
General Discussion | - | |||
Venue: PBCEC Seminar Room, Visitors' Hostel