Mathematics Major

Students must also complete the Undergraduate Registration Requirement and the degree requirements of their home school.

Major Requirements

(Units depend on basic courses.)

The mathematics major consists of basic courses and 9 upper-level courses. 

Basic Courses

Course Title
MATH 220-1
MATH 220-2
Single-Variable Differential Calculus
and Single-Variable Integral Calculus
or MATH 218-1
MATH 218-2
MATH 218-3
Single-Variable Calculus with Precalculus
and Single-Variable Calculus with Precalculus
and Single-Variable Calculus with Precalculus
MATH 226-0Sequences and Series
MATH 230-1
MATH 230-2
MATH 240-0
Multivariable Differential Calculus
and Multivariable Integral Calculus
and Linear Algebra
or MATH 228-1
MATH 228-2
GEN_ENG 205-1
Multivariable Differential Calculus for Engineering
and Multivariable Integral Calculus for Engineering
and Engineering Analysis I
or ES_APPM 252-1
ES_APPM 252-2
GEN_ENG 206-1
Honors Calculus for Engineers
and Honors Calculus for Engineers
and Honor Engineering Analysis
or MATH 281-1
MATH 281-2
MATH 281-3
Accelerated Mathematics for ISP: First Year
and Accelerated Mathematics for ISP: First Year
and Accelerated Mathematics for ISP: First Year
or MATH 285-1
MATH 285-2
MATH 285-3
Accelerated Mathematics for MMSS: First Year
and Accelerated Mathematics for MMSS: First Year
and Accelerated Mathematics for MMSS: First Year
or MATH 290-1
MATH 290-2
MATH 290-3
MENU: Linear Algebra and Multivariable Calculus
and MENU: Linear Algebra and Multivariable Calculus
and MENU: Linear Algebra and Multivariable Calculus
or MATH 291-1
MATH 291-2
MATH 291-3
MENU: Intensive Linear Algebra and Multivariable Calculus
and MENU: Intensive Linear Algebra and Multivariable Calculus
and MENU: Intensive Linear Algebra and Multivariable Calculus

Students may count basic courses toward the requirements of more than one major, minor, or program.

Upper-level Courses

Upper-level courses are courses at the 300 level or above. Students must complete 9 upper-level mathematics courses.

  • The upper-level courses must include at least 1 of the following courses:
    Course Title
    MATH 334-0Linear Algebra: Second Course
    or MATH 311-1 MENU: Probability and Stochastic Processes
    or MATH 320-1 Real Analysis
    or MATH 321-1 MENU: Real Analysis
    or MATH 330-1 Abstract Algebra
    or MATH 331-1 MENU: Abstract Algebra
  • With prior approval from the Director of Undergraduate Studies, the 9 upper-level courses may include as many as 3 courses offered by other departments with substantial mathematical content or that focus on serious applications of mathematics. No such course may count simultaneously toward the requirements of another major, minor, or program.

Honors in Mathematics

The Department of Mathematics nominates outstanding mathematics majors to graduate with honors in the major. Mathematics majors interested in pursuing honors should consult with the Director of Undergraduate Studies before the end of their junior year. To be eligible for nomination a student must:

  • complete 1 of the following course sequences:
    Course Title
    MATH 320-1
    MATH 320-2
    MATH 320-3
    Real Analysis
    and Real Analysis
    and Real Analysis
    or MATH 321-1
    MATH 321-2
    MATH 321-3
    MENU: Real Analysis
    and MENU: Real Analysis
    and MENU: Real Analysis
  • complete 1 of the following course sequences:
    Course Title
    MATH 330-1
    MATH 330-2
    MATH 330-3
    Abstract Algebra
    and Abstract Algebra
    and Abstract Algebra
    or MATH 331-1
    MATH 331-2
    MATH 331-3
    MENU: Abstract Algebra
    and MENU: Abstract Algebra
    and MENU: Abstract Algebra
  • ​have a grade point average greater than or equal to 3.5 in courses which satisfy major requirements,*
  • complete 2 quarters of MATH 399-0 with distinction, or 2 quarters of a 400 level mathematics sequence with distinction, and
  • complete a project culminating in a senior thesis of appropriate quality.

For more information contact the Director of Undergraduate Studies, and see Honors in the Major under Academic Options and Support.

Graduate Study in Mathematics

The following courses and course sequences are essential for students intending to pursue graduate study in mathematics:

Course Title
MATH 321-1
MATH 321-2
MATH 321-3
MENU: Real Analysis
and MENU: Real Analysis
and MENU: Real Analysis
or MATH 320-1
MATH 320-2
MATH 320-3
Real Analysis
and Real Analysis
and Real Analysis
MATH 331-1
MATH 331-2
MATH 331-3
MENU: Abstract Algebra
and MENU: Abstract Algebra
and MENU: Abstract Algebra
or MATH 330-1
MATH 330-2
MATH 330-3
Abstract Algebra
and Abstract Algebra
and Abstract Algebra
MATH 344-1
MATH 344-2
Introduction to Topology
and Introduction to Topology
MATH 325-0Complex Analysis

Well-prepared students pursuing graduate study in mathematics should also consider taking the following graduate course sequences:

Course Title
MATH 410-1
MATH 410-2
MATH 410-3
Analysis
and Analysis
and Introduction to Modern Analysis
MATH 470-1
MATH 470-2
MATH 470-3
Algebra
and Algebra
and Algebra

Secondary Teaching Licensure in Mathematics

To obtain an Illinois Professional Educator license in mathematics, a Weinberg student majoring in mathematics must apply to the Secondary Teaching program in the School of Education and Social Policy (SESP) by the fall of the junior year and complete the requirements of that program as well as the degree requirements of Weinberg College.