# Majors

The Department of Mathematics and Statistics offers two majors. **The A.B. major is designed for students planning graduate study or employment outside mathematics** (medicine, law, business, finance, journalism, government service, or precollege teaching). **The B.S. major is designed for students planning graduate study or employment in mathematics**. Any student contemplating a math major or minor, and whose faculty advisor is not in the Department of Mathematics and Statistics, is strongly urged to consult with the Director of Undergraduate Studies.

It is recommended that students considering majoring in mathematics take Introduction to Proof and Problem Solving (2800) following Calculus II and no later than Fall of their Sophomore year. This course gives students a good understanding of what is involved in higher mathematics and will help them decide if they want to be a math major.

https://schedule.georgetown.edu/course-renumbering-crosswalk/m/#math

Note:Effective Fall 2023, all main campus courses have been renumbered using a new 4-digit numbering system.

### A.B. Mathematics Major

The AB degree requires a total of 10 courses.

- MATH-1360 Calculus II (
**Prerequisite**: Calculus I (MATH-1350), four credits of Calculus AP credit, or passing a departmental exam.) - MATH-2250 Linear Algebra

- MATH-2370 Multivariable Calculus
- MATH-2410 Ordinary Differential Equations (
**Prerequisite**: MATH-2370; Co-requisite: MATH-2250) [**Note**: This course is not required for majors in the Class of 2023] - MATH-2800 Introduction to Proof and Problem Solving (
**Prerequisite**: B or better in MATH-1360 or department approval) - MATH-3210 Abstract Algebra (
**Prerequisite**: MATH-2800 or permission of instructor) - MATH-3310 Analysis I (
**Prerequisite**: MATH-2800 or permission of instructor) - 3 Mathematics electives at the 2000+ level [
**Note**: Majors in the Class of 2023 need 4 math electives at the level of MATH-2140 or higher]

**The four core courses**, Calculus II (MATH-1360), Linear Algebra (MATH-2250), Multivariable Calculus (MATH-2370), and Introduction to Proof and Problem Solving (MATH-2800), introduce basic mathematical concepts as well as develop students’ mathematical reasoning and communication skills. Students will further develop abstract reasoning skills in the required upper level courses Abstract Algebra (MATH-3210) and Analysis I (MATH-3310).

Because of the Calculus I prerequisite, students who cannot complete MATH-1360, MATH-2370, MATH-2250, and MATH-2800 by the end of their sophomore year should postpone MATH-2370 or MATH-2250 to their junior year. Introduction to Proof and Problem Solving is normally taken in the Fall of the sophomore year. Abstract Algebra is normally taken in the junior year, Analysis I in Fall of senior year. An upper level course may be substituted for Calculus II, Multivariable Calculus, and Linear Algebra for students passing an appropriate departmental placement test.

### B.S. Mathematics Major

The BS degree is normally for students interested in graduate studies in a quantitative subject, and as such, students with this major are expected to keep at least a B average in their mathematics courses. This degree requires a total of **13 courses**.

- MATH-1360 Calculus II (
**Prerequisite**: Calculus I (MATH-1350), four credits of Calculus AP credit, or passing a departmental exam. - MATH-2140 Introduction to Mathematical Statistics. DSAN-5100 may be used as a substitute for MATH-2140. Students who have taken ECON-2110 should take one Statistics elective at the 2000+ level instead of MATH-2140.
- MATH-2250 Linear Algebra
- MATH-2370 Multivariable Calculus
- MATH-2410 Ordinary Differential Equations (Prerequisite: MATH-2370; Co-requisite: MATH-2250) [
**Note**: This course is not required for majors in the Class of 2023] - MATH-2800 Introduction to Proof and Problem Solving (
**Prerequisite**: B or better in MATH-1360 or department approval.) - MATH-3210 Abstract Algebra (
**Prerequisite**: MATH-2800 or permission of instructor) - MATH-3310 Analysis I (
**Prerequisite**: MATH-2800 or permission of instructor) - MATH-4320 Complex Analysis
**3 Mathematics electives at the 2000+ level**[**Note**: Majors in the Class of 2023 need 4 math electives at the level of 1500 or higher]

Corollary Course Requirement:

**Programming course**: MATH-1510, COSC-1010, or COSC-1020 or equivalent

The** four core courses, **Calculus II (MATH-1360), Linear Algebra (MATH-2250), Multivariable Calculus (MATH-2370), and Introduction to Proof and Problem Solving (MATH-2800), introduce basic mathematical concepts as well as develop students’ mathematical reasoning and communication skills. Students will further develop abstract reasoning skills in the required upper level courses Abstract Algebra (MATH-3210), Analysis I (MATH-3310), and Complex Variables (MATH-4320). In addition, students will gain a basic statistical understanding in Mathematical Statistics (MATH-2140).

Because of the Calculus I prerequisite, students who cannot complete MATH-1360, MATH-2370, MATH-2250, and MATH-2800 by the end of their sophomore year should postpone MATH-2370 or MATH-2250 to their junior year. Introduction to Proof and Problem Solving is normally taken in the Fall of the sophomore year. Abstract Algebra is normally taken in the junior year, Analysis I in Fall of senior year and Complex Variables (MATH-4320) in Spring of senior year. An upper level course may be substituted for Calculus II, Multivariable Calculus, and Linear Algebra for students passing an appropriate departmental placement test.

To encourage the serious math major to see some significant applications of mathematics, **one of the three electives for the BS degree can be a mathematically intensive course in another discipline** (approved by the Director of Undergraduate Studies), such as Game Theory (ECON-4059), Data Analysis (ECON-5554), Relativity and Quantum Physics (PHYS-2103), Modeling of Biological Populations (BIOL-4220), and Symbolic Logic (PHIL-4000).