# 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 (200) 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.

### A.B. Mathematics Major

The AB degree requires a total of 10 courses.

- MATH-036 Calculus II (
**Prerequisite**: Calculus I (MATH-035), four credits of Calculus AP credit, or passing a departmental exam.) - MATH-137 Multivariable Calculus
- MATH-150 Linear Algebra
- MATH-200 Introduction to Proof and Problem Solving (
**Prerequisite**: B or better in MATH-036 or department approval) - MATH-201 Ordinary Differential Equations (
**Prerequisite**: MATH-137; Co-requisite: MATH-150) [**Note**: This course is not required for majors in the Class of 2022 or the Class of 2023] - MATH-215 Abstract Algebra (
**Prerequisite**: MATH-200 or permission of instructor) - MATH-310 Analysis I (
**Prerequisite**: MATH-200 or permission of instructor) - 3 Mathematics electives at level of MATH-140 or higher [
**Note**: Majors in the Class of 2022 or the Class of 2023 need 4 math electives at level of MATH-140 or higher]

**The four core courses**, Calculus II (036), Multivariable Calculus (137), Linear Algebra (150), and Introduction to Proof and Problem Solving (200), introduce basic mathematical concepts as well as develop studentsâ€™ mathematical reasoning and communication skills. Students will further develop abstract reasoning skills in the required upper level courses Abstract Algebra (215) and Analysis I (310).

Because of the Calculus I prerequisite, students who cannot complete 036, 137, 150, and 200 by the end of their sophomore year should postpone 137 or 150 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-036 Calculus II (
**Prerequisite**: Calculus I (MATH-035), four credits of Calculus AP credit, or passing a departmental exam.) - MATH-137 Multivariable Calculus
- MATH-140 Introduction to Mathematical Statistics. ANLY-511 may be used as a substitute for MATH-140. Students who have taken Econ-121 should take one of the following upper-level Statistics electives instead of Math-140: Math-240, Math-245, Math-325, Math-340, Math-345, Math-426.
- MATH-150 Linear Algebra
- MATH-201 Ordinary Differential Equations (Prerequisite: MATH-137; Co-requisite: MATH-150) [
**Note**: This course is not required for majors in the Class of 2022 or the Class of 2023] - MATH-200 Introduction to Proof and Problem Solving (
**Prerequisite**: B or better in MATH-036 or department approval.) - MATH-215 Abstract Algebra (
**Prerequisite**: MATH-200 or permission of instructor) - MATH-310 Analysis I (
**Prerequisite**: MATH-200 or permission of instructor) - MATH-316 Complex Analysis
**3 Mathematics electives at level of 200 or higher**[**Note**: Majors in the Class of 2022 or the Class of 2023 need 4 math electives at level of 200 or higher]

Corollary Course Requirement:

**Programming course**: MATH-110 or COSC-051 or equivalent

The** four core courses, **Calculus II (MATH-036), Multivariable Calculus (MATH-137), Linear Algebra (MATH-150), and Introduction to Proof and Problem Solving (MATH-200), introduce basic mathematical concepts as well as develop studentsâ€™ mathematical reasoning and communication skills. Students will further develop abstract reasoning skills in the required upper level courses Abstract Algebra (MATH-215), Analysis I (MATH-310), and Complex Variables (MATH-316). In addition, students will gain a basic statistical understanding in Mathematical Statistics (MATH-140).

Because of the Calculus I prerequisite, students who cannot complete 036, 137, 150, and 200 by the end of their sophomore year should postpone 137 or 150 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 (316) 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 Physical Chemistry Lectures (CHEM-219/220), Efficient Computing Methods (COSC-504), Game Theory (ECON-459), Relativity and Quantum Physics (PHYS-211), Mathematical Logic (PHIL-482), and Modeling of Biological Populations (BIOL-422).