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 R^{n, }
Linear Dependence and Independence 

Homogeneous and Nonhomogeneous 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, CauchyRiemann 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  