Portal:Mathematics



One could learn the following topics in the following order, although it is also possible to skip certain courses according to one's interests. These courses are also the most commonly found courses in a mathematics undergraduate concentration in English-speaking universities. However, universities will differ in their course titles and content, so that there is no universal list of undergraduate courses.


 * 1) Arithmetic (no prerequisites)
 * 2) Algebra and Geometry (requires arithmetic)
 * 3) Discrete Mathematics (requires algebra)
 * 4) Introductory Statistics (requires algebra)
 * 5) Calculus 1 (requires algebra and geometry)
 * 6) Linear Algebra (requires algebra and geometry)
 * 7) Calculus 2 (requires calculus 1)
 * 8) Differential Equations (requires calculus 2 and linear algebra)
 * 9) Calculus 3 (requires calculus 2 and linear algebra)
 * 10) Mathematical Statistics (requires calculus 3)
 * 11) Mathematical Logic (requires discrete math)
 * 12) Modern Analysis (requires calculus 1 and linear algebra)
 * 13) Modern Algebra (requires discrete mathematics)
 * 14) Set Theory (requires discrete mathematics)
 * 15) Number Theory (requires discrete mathematics)
 * 16) Complex Analysis (requires modern analysis)
 * 17) General Topology (requires modern analysis)
 * 18) Combinatorics (requires discrete mathematics)
 * 19) Differential Geometry
 * 20) Partial Differential Equations
 * 21) Measure and Integration Theory (requires modern analysis)
 * 22) Functional Analysis (requires measure and integration theory)
 * 23) Probability Theory (requires modern analysis and mathematical statistics)
 * 24) Algebraic Topology