Applied Mathematics is a two-semester course, emphasizing the basic mathematical training encountered in science and engineering. Facing the modern frontiers with brand-new challenges, the course contains the following key modules: (1) Complex Analysis, (2) Partial Derivative, (3) Linear Algebra, (4) Quantum Operators, (5) Fourier Transform. (6) Vector calculus. It is important to maintain the balance between mathematical rigor and hands-on applications. Meanwhile, the last module (numerical methods) will be integrated into other modules to facilitate complementary usage of analytic and numeric techniques. 《keywords：applied mathematics, ☑️ partial differentiation, ☑️ matrices, ☑️ vector calculus, ☑️ ordinary differential equations, ☑️ numerical methods》