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.