The first module: seven courses of mathematics in senior four.
(1) Mathematical Analysis I (5 credits), Mathematical Analysis I (experimental class, 5 credits), 1 semester per academic year.
(2) Mathematical Analysis II (5 credits), Mathematical Analysis II (experimental class, 5 credits), the second semester of each academic year.
(3) Mathematical Analysis III (4 credits), Mathematical Analysis III (experimental class, 4 credits), each academic year 1 semester.
(4) Advanced Algebra I(5 credits), Advanced Algebra I (experimental class, 5 credits), each academic year 1 semester.
(5) Advanced Algebra II (4 credits), Advanced Algebra II (experimental class, 4 credits), the second semester of each academic year.
(6) Geometry (5 credits), Geometry (experimental class, 5 credits), each academic year 1 semester.
(7) Probability Theory (3 credits), Probability Theory (experimental class, 3 credits), the second semester of each academic year.
? Module 2: Four core courses other than Math Four?
( 1)? Abstract algebra (3 credits), each academic year 1 semester.
(2)? Complex function (3 credits), the second semester of each academic year.
(3)? Ordinary differential equations (3 credits), the second semester of each academic year.
(4)? Mathematical model (3 credits), the second semester of each academic year.
? The third module: 9 professional basic courses in the Department of Mathematics, including 3 algebra courses, 3 geometry courses and 3 analysis courses.
(1) Fundamentals of number theory (3 credits), 1 semester of each academic year.
(2) Group and Representation (3 credits), the second semester of each academic year.
(3) Basic Algebra Geometry (3 credits), the second semester of each academic year.
(4) Topology (3 credits), each semester 1.
(5) Differential Geometry (3 credits), per semester 1.
(6) Differential manifold (3 credits), the second semester of each academic year.
(7) Real variable function (3 credits), semester of each academic year 1.
(8) Functional analysis (3 credits), the second semester of each academic year.
(9) Partial differential equations (3 credits), each semester 1.
? Module 4: 8 small classes in the Department of Mathematics.
(1) Two Selected Lectures on Mathematical Analysis (2 credits), the second semester of each academic year.
(2) Three Selected Lectures on Mathematical Analysis (2 credits), each academic year 1 semester.
(3) Selected lectures on Advanced Algebra II (2 credits), in the second semester of each academic year.
(4) Algebra seminar (3 credits), next semester of each academic year.
(5) Geometry seminar (3 credits), next semester of each academic year.
(6) Analysis and discussion course (3 credits), each semester 1.
(7) I(2 credits), the second semester of each academic year.
(8) The second lecture on core mathematics (2 credits), each academic year 1 semester.
The fifth module: the second kind of undergraduate courses in the Department of Mathematics, including
(1) Geometry II (experimental class, 4 credits), next semester of each academic year.
(2) Mathematical Logic (3 credits), each semester 1.
(3) Combinatorial Mathematics (3 credits), the second semester of each academic year.
(4) Cryptography (3 credits), the second semester of each academic year.
(5) Pattern form (3 credits), irregular
? The sixth module: 15, the first class of graduate students in mathematics department, which undergraduates can choose.
(1) (analysis and equation class) Real analysis, harmonic analysis, complex analysis and functional analysis II. Qualitative theory of ordinary differential equations, second-order elliptic equations and hyperbolic equations; Dynamic system, ergodic theory, nonlinear analysis foundation, variational theory, multiple complex variable theory, etc.
(2) (Algebra and number theory) Abstract algebra II, commutative algebra, group theory, group representation theory, number theory I,? Number theory two, algebraic geometry one, Algebraic geometry ii; Lie groups and lie algebras, homology algebras, geometric representation theory, modular forms, cryptography, finite fields, etc.
(3) (Geometry and Topology) Introduction to Riemann Geometry, Homology Theory and Differential Topology; Fiber bundle and characteristic class, homoethics, Riemann surface theory, complex geometry, symplectic geometry, introduction to hyperbolic geometry, low-dimensional manifold, geometric group theory, etc.
(4) Mathematical methods in classical mechanics, gromov-Witten theory, etc.
? Module 7:? Other courses
( 1)? Mathematics instruction course of Peking University (1 credit), each academic year 1 semester.
(2)? 30-36 credits for public and basic courses
(3)? There are 8 credits for science non-mathematics courses, including 4 credits for physics.
(4)? Graduation thesis (3 credits)
(5)? There are 27 credits for general education and independent elective courses, including 12 credits for science courses and 12 credits for general elective courses.
The whole course has 3 credits.
Refer to the above contents: Department of Mathematics, Peking University Institute of Mathematics-Curriculum