Mathematics Major (saylor.org)

Mathematics Major (saylor.org)
A degree in General Mathematics is designed to equip you with the skills necessary to be a professional problem-solver, as a mathematician is not defined by his or her knowledge of laws and theorems, but by his or her critical thinking and reasoning skills.

As a Mathematics Major, your classes will range from courses on mathematical logic and induction to courses on differential equations and analysis. The core Mathematics program is designed to allow you to gain basic training in a variety of mathematical tracks, whereas the advanced electives will provide you with the choice of which higher-level mathematical subfields you wish to progress into further. The complete list of applicable fields for which Mathematics is an integral part is extensive; here we show a few of the more common specializations.

Every course listed in our “Core Program” is required of math majors with the exception of Introduction to Mathematical Reasoning. This course is recommended before Abstract Algebra I and Real Analysis I or any of the Advanced Mathematics Electives other than Partial Differential Equations.

To fulfill the requirements for this major, you must complete all of the core program except for Introduction to Mathematical Reasoning, which is optional (8 courses) as well as 7 electives of your choosing (7 courses — 5 of which must be “Advanced Mathematics”) for a total of 15 courses.
Foundational Material

The courses in this section are also not a formal part of the Saylor.org Mathematics Major. These courses are designed to bridge the gap between high school and college-level mathematics.
Beginning Algebra
Precalculus II
Calculus I
Core Program
Single-Variable Calculus I
Single-Variable Calculus II
Multivariable Calculus
Introduction to Mathematical Reasoning
Linear Algebra
Differential Equations
Abstract Algebra I
Real Analysis I
Introduction to Computer Science I
Advanced Mathematics
Linear Algebra II
Numerical Analysis
Introduction to Partial Differential Equations
Abstract Algebra II
Real Analysis II
Complex Analysis
Introduction to Probability Theory
Elective Courses
Introduction to Statistics
Mathematical Logic and Theory of Computation
Statistics II
Econometrics
Introduction to Computer Science II