The courses you take and the textbooks you need for a standard major in mathematics (electives excluded):
|Calculus||Introduction to Calculus|
|Advanced Calculus||Vector Calculus|
|Introduction to Ordinary Differential Equations||Introduction to Ordinary Differential Equations|
|Introduction to Linear Algebra||Introduction to Linear Algebra|
|Partial Differential Equations||Partial Differential Equations: An Introduction|
|Abstract Algebra||Principles of Abstract Algebra|
|Real Analysis||Introductory Real Analysis|
|Complex Analysis||A Mathematical Introduction To Complex Analysis|
|Numerical Methods||Exploring Numerical Methods For Mathematics|
|Logic||Principles of Mathematical Logic: An Introduction|
|Seminar Course||(Instructor’s Choice)|
* We mean Abstract Algebra, not that stuff you do in high school with the x’s and the y’s. In Abstract Algebra we never touch an x or a y, but instead see an awful lot of g and h and a ridiculous number of e’s. And by “Algebra” we mean “Advanced Algebra”, not that stuff from “Abstract Algebra”, which is the introductory course.
Source: Topics in Algebra, I N Herstein.