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Departmental Graduation Requirements

The department offers seven concentrations as part of the mathematics degree:  Actuarial, Applied Math, Individual, Math Computing, Pure Math, Statistics, and Teaching.

Course Requirements for all Majors

  • Differential and integral calculus: Math 131 and 132, with a grade of C or better in Math 132
  • Multivariable calculus and linear algebra: Math 233 and 235
  • Introduction to abstract mathematics: Math 300 or CompSci 250 (may be waived by the Chief Undergraduate Advisor for exceptionally well-prepared students)
  • Computer programming: CompSci 121 or equivalent
  • Writing in mathematics: Math 370
  • Integrative Experience (IE) course.  The following courses satisfy the IE requirement:  Math 455, Math 456, Math 475, Stat 525, Stat 494CI.  All IE courses count toward either required major courses or upper level major electives.  In other words, this requirement does not require additional coursework to be completed.
  • Completion of the requirements of one of the following concentrations: Actuarial, Applied, Individual, Mathematical Computing, Pure, Statistics, Teaching.  
  • Courses from outside the department may be used to satisfy the concentration requirements.  A list of accepted University courses is available here.  The Chief Undergraduate Advisor must approve all other courses taken outside the department or at another university before the student enrolls in them.

Grade Requirements

  • All courses used to satisfy these requirements must be completed with a passing grade (D or higher) and cannot be taken Pass/Fail.
  • The overall GPA of all courses taken to satisfy the requirements for the major (averaged over all such courses taken) must be at least 2.0.
  • Students will need to earn a grade of C or better in Math 132 before taking some courses at the 300 level or higher.

Concentrations and their requirements

Mathematics majors must choose one of the following concentrations.

Actuarial Concentration

Actuarial Checklist

The Actuarial Concentration prepares the student for a career in the actuarial sciences. Requirements:

  1. VEE Requirements: Econ 103 and Econ 104, Stat 525, and Finance 301.  Stat 525 is an IE course.
  2. Probability and statistics: Stat 515 and Stat 516
  3. Exam preparation: Math 437 or Math 536 (formerly Math 438)
  4. Mathematics of finance: Math 537
  5. Three of the following courses:  Math 331/532, Math 425, Math 456, Math 523, Math 545, Math 551, Stat 526, Stat 597A, or an appropriate course outside the department such as Finance 422 or Econ 309.  For other substitutions, please consult with the CUA.

Note: Math majors who have declared the Actuarial concentration may contact lagerstrom@math.umass.edu to submit a request to be enrolled in Finance 301.  Requests should be made a week before enrollment period begins.  Enrollment in Fin 301 is at the discretion of the Isenberg School of Management.

See the Actuarial Sciences webpage for further details on this concentration.

Applied Mathematics Concentration

Applied Math Checklist

The Applied Mathematics Concentration prepares the student for applied matematics positions in industry or government. Requirements:

  1. Advanced multivariate calculus: Math 425
  2. Differential equations: Math 331
  3. Linear algebra for applied mathematics: Math 545
  4. Introduction to scientific computing: Math 551
  5. One of the following courses: Math 456, Math 532, Math 534, Math 552.  Math 456 is the IE course for this concentration.
  6. Three additional courses numbered 400 or higher (except Stat 501).  With the approval of the Chief Undergraduate Advisor, these may be appropriate courses outside the department (a popular choice is MIE 379).

Individually Designed Concentration

Individual Checklist

Individually designed concentration permits students, in consultation with their academic advisor, to design their own concentration so as to explore thoroughly a theme in mathematics or statistics or to investigate connections between mathematics and/or statistics and another field, such as biology or economics. An individual concentration must include eight courses numbered 400 or above, of at least three credits each. At least four of these eight courses must be in mathematics or statistics. In consultation with their academic advisor, students propose a plan for the eight courses to be used to fulfill the requirements of the individual concentration. No later than the end of the semester in which students are taking Math 300 or during the second semester of the students' sophomore year, whichever comes first, students will: prepare the plan in writing, secure approval of the plan by their advisor, and submit the written plan for approval to the Chief Undergraduate Advisor. No later than the end of the junior year, students review the plan with their academic advisor. If any changes are proposed to the original plan, students must again secure approval of the revised plan in writing.

Mathematical Computing Concentration

Mathematical Computing Checklist

The Mathematical Computing Concentration prepares the student for careers that require both knowledge of advanced mathematics and knowledge of computer science. Requirements:

  1. Data Structures:  CompSci 187 or ECE 242 (needed as a prerequisite in the sequence of courses leading to CompSci 311)
  2. Abstract algebra: Math 411
  3. Probability: Stat 515
  4. Numerics:  Math 551
  5. Algorithms: CompSci 311
  6. Either CompSci 501 or CompSci 575
  7. Two additional courses from the following list: Math 331, Math 412, Math 456, Math 471, Math 571Math 545, Math 552 or Stat 516. The IE course on this list is Math 456.
  8. CS elective (any 300+ level CS course of 3 credits or more that is not used to satisfy any of the previous requirements).

Pure Mathematics Concentration

Pure Math Checklist

The Pure Mathematics Concentration gives students exposure to the core mathematics subjects and prepares students for graduate study in mathematics. Requirements:

  1. Abstract algebra: Math 411
  2. Complex variables: Math 421
  3. Advanced multivariate calculus or topics in real analysis:  Math 425 or Math 524
  4. Analysis: Math 523H
  5. Either Math 412 or Math 563H
  6. One applied mathematics course either chosen from the following list or another course with sufficient applied mathematical content approved by the Chief Undergraduate Advisor: Math 331, Math 456, Math 532, Math 534, Math 551, Math 552, Stat 516
  7. Two additional courses numbered 400 or higher (except Stat 501). Most students will select one of these to be Math 455 to satisfy the IE requirement. With the approval of the Chief Undergraduate Advisor, these may be appropriate courses outside the department.

Statistics Concentration

Statistics Checklist

The Statistics Concentration prepares the student for a career as an statistician and for graduate study in statistics. Requirements:

  1. Advanced multivariate calculus: Math 425
  2. Linear algebra for applied mathematics (or abstract algebra):  Math 545 (or Math 411).  Math 545 is strongly recommended.
  3. Probability and statistics: Stat 515 and Stat 516
  4. One of the following courses: Stat 525 or Stat 526.  The IE course on this list is Stat 525.
  5. Three additional courses numbered 400 or higher (or Math 331). With the approval of the Chief Undergraduate Advisor, these may be appropriate courses outside the department.  Note: Stat 501 cannot be used.

Teaching Concentration

Teaching Checklist - For entry Fall 2016 and later

Teaching Checklist - For entry prior to Fall 2016

The Teaching Concentration provides the student with the knowledge of mathematics and statistics required by the Commonwealth for teaching mathematics at the 8-12 level.  The teaching concentration requirements have been updated for students entering the University in Fall 2016.  Current students have the option to meet either the requirements listed on their ARR on SPIRE or these new requirements. 

  1. Abstract algebra: Math 411
  2. Mathematical modeling: Math 331 or Math 456
  3. Discrete/finite mathematics: Math 455 (an IE course)
  4. Geometry: Math 461
  5. Probability and statistics: Stat 501 followed by Stat 515
  6. Use of technology: Math 471
  7. One additional course numbered 400 or higher.  (Math 475, History of Math, is recommended since it is a state requirement for secondary teachers).