Major in Mathematics 2013-2014

The Mathematics department reserves the right to change major requirements at any time. Please check with the Mathematics department or the CU Boulder catalog for the most current listing of requirements. You are subject to the requirements in effect at the time you declare your major as an Arts & Sciences degree seeking student.

The department of Mathematics offers four tracks for earning a B.A. in Mathematics. In addition to completing the general requirements of the College of Arts and Sciences, Mathematics students in all tracks must complete the Mathematics Core courses listed below, as well as the requirements of their chosen track.

Before receiving a B.A. in Mathematics, students must obtain a passing grade on a standardized major field achievement test administered by the Department of Mathematics.

Note: Any APPM course that is cross-listed as a MATH course is considered by the Department of Mathematics to be a Mathematics course.

Courses required for a Bachelor of Arts Degree in Mathematics at CU-Boulder and Colorado Community College applicable courses.

Mathematics Core

(required of all mathematics majors):

Major in Mathematics
CU-Boulder Required Courses Colorado Community College Applicable Courses

Calculus 1:

  • MATH 1300 (5) Calculus 1 or
  • APPM 1350 (4) Calculus 1 for Engineers
  • MAT 201 (5) Calculus I

Calculus 2:

  • MATH 2300 (5) Calculus 2 or
  • APPM 1360 (4) Calculus 2 for Engineers
  • MAT 202 (5) Calculus II

Calculus 3:

  • MATH 2400 (4) Calculus 3 or
  • APPM 2350 (4) Calculus 3 for Engineers
  • MAT 203 (4) Calculus III or MAT 204 (5) Calculus III with Engineering Applications

Note: Students who complete MAT 204 will receive 5 hours of transfer credit at UCB provided that they do not also take the equivalent UCB course.

  • MATH 2001 (3) An Introduction to Discreet Mathematics
  • MATH 3001 (3) Analysis I
  • MATH 3130 (3) Linear Algebra

Comprehensive Track

Aimed at students seeking a general background in mathematics or intending to pursue graduate work in mathematics.

Major in Mathematics
CU-Boulder Required Courses Colorado Community College Applicable Courses
  • MATH 3140 (3) Abstract Algebra I
  • MATH 4140 (3) Abstract Algebra II or
  • MATH 4001 (3) Analysis II
  • 3 upper-division MATH or approved APPM courses (9 credit-hours)

(At least one of these courses must be at the 4000-level. For a list of approved courses see: spot.colorado.edu/~carriem/math_advising)

Applicable Track

Aimed at students seeking a background in applied or applicable mathematics.

Major in Mathematics
CU-Boulder Required Courses Colorado Community College Applicable Courses

Additional Courses required:

  • MATH 4510 (3) Introduction to Probability
  • MATH 4430 (3) Introduction to Ordinary Differential Equations
  • MATH 4520 (3) Mathematical Statistics or
  • MATH 4470 (3) Partial Differential Equations 1
  • 2 upper-division MATH or approved APPM courses (6 credit hours)

(For a list of approved courses, see: spot.colorado.edu/~carriem/math_advising)

Secondary Education Track

Aimed at students intending to teach mathematics at the secondary level.

Major in Mathematics
CU-Boulder Required Courses Colorado Community College Applicable Courses

Additional Courses required:

  • MATH 3110 (3) Introduction to the Theory of Numbers or
  • MATH 3140 (3) Abstract Algebra 1
  • MATH 3120 (3) Functions and Modeling
  • MATH 3210 (3) Euclidean and Non-Euclidean Geometry I
  • MATH 3510 (3) Introduction to Probability and Statistics
  • MATH 4820 (3) History of Mathematical Ideass

Note: Completion of the Secondary Education Track does not provide the student a teaching license. For information about the secondary education teaching licensure program, see the School of Education section.

Computational Track

Aimed at students interested in both mathematics and computation.

Major in Mathematics
CU-Boulder Required Courses Colorado Community College Applicable Courses

Additional Courses required:

  • CSCI 1300 (3) Computer Science 1: Programming
  • CSCI 2270 (3) Computer Science 2: Programming
  • CSCI 3104 (3) Algorithms
  • MATH/APPM 4650 (3) Intermediate Numerical Analysis
  • 3 MATH or approved APPM or approved CSCI courses (9 credit hours)

(At least one these courses must be at the 4000- level. At most, only one of these courses may be a computer science course.)

Math courses that do not count for the major at CU

The following community college courses do not count for the Math major, however, they may be used to fulfill lower-division general elective credit at CU Boulder.

Major in Mathematics
Colorado Community College Applicable Courses CU-Boulder Equivalent Course (if any)
  • MAT 121 (4) College Algebra
  • MATH 1011 (3) Fundamentals and Techniques of College Algebra
  • MAT 122 (3) College Trigonometry
  • MATH 1021 (2) Numerical and Analytical College Trigonometry
  • MAT 123 (4) Finite Mathematics
  • MATH 1071 (3) Finite Math for Social Science and Business
  • MAT 125 (4) Survey of Calculus
  • MATH 1081 (3) Calculus for Social Science and Business
  • MAT 135 (3) Intro to Statistics
  • MATH 2510 (3) Introduction to Statistics
  • MAT 255 (3) Linear Algebra
  • APPM 3310 (3) Matrix Methods and Applications
  • MAT 265 (3) Differential Equations
  • APPM 2380 (4) Introduction to Ordinary Differential Equations
  • MAT 120 (4) Mathematics for Liberal Arts
  • MATH 1012 (3) Quantitative Reasoning and Math Skills