1. required course (***5 books)
Compulsory course is the mathematics content that every student must learn, including five modules.
Mathematics 1: set, function concept and basic elementary function I (exponential function, logarithmic function, power function).
Math 2: preliminary solid geometry, preliminary plane analytic geometry.
Math 3: preliminary algorithm, statistics, probability.
Math 4: Basic elementary function 2 (trigonometric function), vector on the plane, trigonometric identity transformation.
Math 5: Solve triangles, sequences and inequalities.
2. Elective courses (***2 1)
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, space solid geometry.
Elective 2-2: Derivative and its application, reasoning and proof, expansion of number system, introduction of complex number.
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 course 3-2: Information Security and Password.
Elective course 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 Circuit and Boolean Algebra.
3. Course description
◆ Principles and intentions of curriculum setting
The principle of determining the content of compulsory courses is to meet the basic mathematical needs of future citizens and provide necessary mathematical preparation for students' further study.
The principle of determining the content of elective courses is to meet students' interests and future development needs, and to lay the foundation for students to further study and obtain higher mathematics literacy. Among them,
1 series is designed for students who want to develop in humanities and social sciences, and series 2 is designed for students who want to develop in science, engineering and economy. 1 series and 2 series are the basic contents of elective courses.
Series 3 and 4 are designed for students who are interested in mathematics and want to further improve their mathematics literacy. The content involved reflects some important mathematical ideas, which is helpful for students to further lay a good foundation in mathematics, improve their application awareness, help students develop for life, broaden their horizons in mathematics, and improve their understanding of the scientific value, application value and cultural value of mathematics. The subject will gradually expand with the development of the course, and students can choose according to their own interests and ambitions. According to the content characteristics of series 3, series 3 is not used as the content of college selection examination. The evaluation of this part of content learning is suitable for the combination of quantitative and qualitative methods, and the evaluation results can be used as a reference for college admission.
4. Suggestions for students to choose courses
1). Students complete the required courses with 10 credits, and mathematics meets the requirements of high school graduation.
2). On the basis of completing the required credits of 10, students who wish to develop in humanities and social sciences can have two choices. One is to study elective courses 1- 1 and elective courses 1-2 series 1 and get 4 credits; Choose 2 questions in Series 3, get 2 credits, and get * * * 16 credits. On the other hand, if students are interested in mathematics and want to acquire higher mathematics literacy, according to the above requirements, they can not only get 16 credits, but also get 4 credits from Series 4, and get 20 credits in total.
3) Students who want to develop in science and engineering (including some economics) can have two choices on the basis of completing the required credits of 10. One is to take 2 series 2- 1, 2-2, 2-3 and get 6 credits; Choose 2 questions from Series 3 and get 2 credits; Choose 2 topics for Series 4, with 2 credits and * * * 20 credits. On the other hand, if students are interested in mathematics and want to gain higher mathematics literacy, they should not only get 20 credits according to the above requirements, but also take 4 subjects in 4 series and get 4 credits, totaling 24 credits.
The combination of courses has certain flexibility, and different combinations can be converted to each other. After making a choice, students can apply to the school for adjustment according to their own wishes and conditions, and can be converted after obtaining corresponding credits through the test.