In this course, the necessary mathematics knowledge in engineering will be introduced, and develop students with the calculating ability of solving mathematics issues in engineering. Introduce the mathematics modeling or equation of physical problem. Moreover, Lead to advanced relationship between mathematics and engineering problem. Give examples for how mathematics can apply on some specific engineering problem. The students will know the related mathematics of engineering courses. The contents are about: vector analysis, differential equations, first-order differential equations, higher-order differential equations, Fourier series, Laplace transform.