|This course intends to inbtroduce the mathematical principles and practices that today\'s engineers need to know. The course contents are 1. Ordinary Differential Eqs: 1st order, 2nd order and higher order ODEs. Laplace transform, special function. 2. Vector Algebra and Vector Analysis: Matrixs and Determinants, Eigenvalve problems. 3. Fourier Series, Integral and Transforms. 4. Partial Differential Equations and Boundary Value Problems. 5. Complex Analysis: complex Integration, conformal mapping and Applications.