For elective courses, students can choose according to their own interests and future development wishes. Elective courses consist of series 1, series 2, series 3 and series 4.

◆ 1 series: composed of 2 modules.

Elective courses 1- 1: common logical terms, conic curves and equations, derivatives and their applications;

Elective courses 1-2: statistical cases, reasoning and proof, number series expansion and complex number introduction, block diagram.

◆ Series 2: It consists of 3 modules.

Elective course 2- 1: common logical terms, conic curve and equation, vector and space solid geometry;

Elective 2-2: Derivative and its application, reasoning and proof, number system extension, complex number introduction;

Elective Course 2-3: Counting Principles, Statistical Cases and Probability.

◆ Series 3: It consists of 6 special topics.

Elective course 3- 1: Selected lectures on the history of mathematics;

Elective 3-2: Information Security and Password;

Elective 3-3: Geometry on Sphere;

Elective 3-4: Symmetry and Group;

Elective 3-5: Euler formula and classification of closed surfaces;

Elective course 3-6: Angle trisection and number field expansion.

◆ Series 4: It consists of 10 topics.

Elective course 4- 1: Selected lectures on geometric proof.

Elective 4-2: Matrix and Transformation.

Elective 4-3: Order and Difference.

Elective 4-4: Coordinate System and Parameter Equation.

Elective course 4-5: Special lecture on inequality.

Elective 4-6: Elementary Number Theory.

Electives 4-7: Optimization Method and Preliminary Experimental Design.

Elective courses 4-8: Overall Planning and Graph Theory.

Elective 4-9: Risk and Decision-making.

Elective Course 4- 10: Switching Circuits and Boolean Algebra