# Math Courses at Brandeis University

Located in Waltham, Massachusetts, Brandeis University is a private research university offering a number of undergraduate, graduate, and doctoral programs. The Department of Mathematics offers a multitude of math courses to prepare students for graduate programs and for careers in scientific research, finance, and actuarial science.

A notable alumnus from the Department of Mathematics at Brandeis is Harald Helfgott, class of 1998. He is a researcher at CNRS/ENS in Paris and winner of the Leverhulme, Whitehead, and Adams prizes. Check out some of the math courses offered at the institution.

**1. MATH 8A - Introduction to Probability and Statistics**

This course introduces students to the concepts of probability and statistics. In the course instructed by Gail A. Peretti, students are introduced to various topics including discrete probability spaces, random variables, expectation, variance, approximation by the normal curve, sample mean and variance, and confidence intervals. The course requires students to have a high school background in algebra and graphing of functions. The course is recommended for students that wish to pursue a career in statistics-related fields.

**2. MATH 10A - Techniques of Calculus**

The course introduces students to the concepts of differential and some integral calculus of one variable and emphasizes its techniques and applications. To enroll in this course, students must attain a minimum of grade C in MATH 5a or a satisfactory grade in the placement exam. The course is instructed by Alex Semendinger and is usually offered in every semester. The course is recommended for students that wish to major in math.

**3. MATH 15A - Applied Linear Algebra**

This course instructed by John Wilmes discusses concepts related to linear algebra with emphasis on their techniques and application. Some of the concepts tackled in the course include matrices, determinants, linear equations, vector spaces, eigenvalues, quadratic forms, and linear programming. To enroll in the course, students must seek permission from the instructor or achieve a satisfactory grade in MATH 5a or in the placement exam. Professional fields like engineering, computer science, and business apply the concepts of this course.

**4. MATH 20A - Multi-variable Calculus**

The course discusses the concepts, techniques, and application of multi-variable calculus. Students will be exposed to various topics such as functions of several variables, vector-valued functions; partial derivatives and multiple integrals, extremum problems, and Green's and Stokes's theorems. The course is instructed by Keith Merrill and Rahul Krishna in fall and spring semesters respectively. The prerequisites for the course include MATH 10a and b and MATH 15a. The concepts learned in the course apply in computer graphics, physical sciences, economics, and engineering professional fields.

**5. MATH 23B - Introduction to Proof**

Students taking this course will be introduced to the concepts of proof. Various techniques of proof are introduced to students with an emphasis on how to analyze and write proofs. The prerequisites for the course include MATH 15a, MATH 20a, or MATH 22a. The course instructors during fall semesters are Rahul Krishna and Gleb Nenashev; and An Huang during spring semesters. The course is suitable for math major students.

**6. MATH 35A - Advanced Calculus and Fourier Analysis**

Mostly offered during fall semesters under the instructions of Ying Zhang, this course discusses advanced concepts of calculus and Fourier Analysis. Students will learn about complex numbers and Fourier series, and Fourier integrals among other topics. The prerequisites for this course are MATH 15a or MATH 22a; and MATH 20a or MATH 22b. The concepts of the course can be applied in various career fields including physics and statistics.

**7. MATH 36A - Probability**

Students taking this course are exposed to the concepts of probability. Students will learn various topics including sample spaces and probability measures, elementary combinatorial examples, conditional probability, random variables, and variance among others. To enroll in this course, students must satisfy the requirements in MATH 20a or MATH 22b. The course is instructed by Jonathan Touboul during fall semesters. The course is applicable in engineering, computer science, economics, and finance professional fields.

**8. MATH 37A - Differential Equations**

Instructed by Thomas Fai, this course introduces students to the concepts of ordinary differential equations. Students will learn the general techniques used in solving specific problems such as the brachistochrone problem, the hanging chain problem, the motion of the planets, and the vibrating string among others. Students have to satisfy the requirements of MATH 15a or MATH 22a, and MATH 20a or MATH 22b before enrolling in this course. The course is useful to those in engineering, physics, computer science, economics, and finance.

**9. MATH 108B - Introduction to Number Theory**

This is an introductory course to the theory of numbers. Instructed by Omer Offen, the course will cover various topics including congruences, finite fields, the Gaussian integers, and rings of numbers among others. To qualify for the course, students are required to successfully complete and satisfy the requirements for MATH 23b and MATH 15a or MATH 22a. The course is applicable in several professional fields including cryptography and computer science.

**10. MATH 110A - Introduction to Real Analysis, Part I**

This is the first of two courses that introduce students to the concepts of real analysis. Instructed by McKee Krumpak, the course will explore several topics including metric space topology, continuity, derivatives, and Riemann and Lebesgue integrals. The prerequisites of this course are MATH 15a or MATH 22a and MATH 20a or MATH 22b, and MATH 23b. The concepts learned in the course can be applied in various career fields like computer science, statistics, and finance.

These are just but a few of the math courses offered by the Department of Mathematics at Brandeis University. More information about the above-mentioned and other offered math courses can be found on the institution's website. Potential math students are advised to go through all the available courses before choosing the courses to enroll in.

## Comments