Engineering Mathematics (Online)
This is a level 2 course aimed at students pursuing a degree in Engineering disciplines such as electrical, civil, or mechanical engineering. Teaching in this course will always be supported by practice problems and computer simulations. It covers the following topics.
| The Vector Space Rn,
Linear Dependence and Independence |
|
| Homogeneous and Non-homogeneous Systems of Linear Equations | |
| Eigenvalues, Eigenvectors, Diagonalization, and Orthogonal and Symmetric Matrices | |
| Vector Functions of one Variable | |
| The Gradient Field, Divergence, and Curl | |
| Line Integrals, Green’s Theorem | |
| Independence of Path and Potential Theory
Surface Integrals |
|
| Divergence Theorem of Gauss
The integral theorem of Stokes |
|
| Complex Number (Polar Form)
Loci and Sets of Points in the plane |
|
| Complex Functions, Limits, and Continuity, Cauchy-Riemann Equations | |
| Power Series
The Exponential and Trig. Functions, The Complex Logarithm |
|
| Integration of Complex Function | |
| Cauchy’s Theorem and Consequences of Cauchy’s Theorem | |
| Taylor Series, Laurent Series, Singularities, The Residue Theorem, Evaluation of Real Integrals | |