The mission is as follows: Learn the algebraic and combinatorial methods frequently used in the modeling and analysis of discrete structure, know the related theory, representation methods, and analytical techniques, further cultivate and train students’ abilities of abstract thinking and logical reasoning, and let students know the applications of related mathematical tools to computer science and technology.The topics include the composition of algebraic systems; homomorphism, isomorphism, congruence, and quotient algebra; semigroup and monoid; group; ring and field; lattice and Boolean algebra; combinatorial existence theorems; combinatorial counting formulas; recursion equation and generation function; inclusion-exclusion principle; Polya theorem.
Mathematics
数学源自于古希腊语，是研究数量、结构、变化以及空间模型等概念的一门学科。透过抽象化和逻辑推理的使用，由计数、计算、量度和对物体形状及运动的观察中产生。数学的基本要素是：逻辑和直观、分析和推理、共性和个性。
