Mathematics Department

Calculus tracks

Students at Union who take calculus are placed into one of the following tracks of courses. Upon completing Tracks 1, 2, or 3, students may continue with Track 4 depending on interests and major/minor requirements.

Please see this chart for a visual description.

Single variable calculus

Track 1

A two-term single variable calculus sequence consisting of one course in differential calculus and one course in integral calculus.

  • MTH-110
  • MTH-112

Track 2

An accelerated version of Track 1, reviewing the majority of the content of MTH-110 and MTH-112 in one term.

  • MTH-113

Track 3

A two-term single variable calculus sequence consisting of one course in differential calculus supplemented with additional precalculus material and one course in integral calculus.

  • MTH-105
  • MTH-112

Multivariable calculus

Track 4

A two-term multivariable calculus sequence, consisting of a course in differential multivariable calculus and some matrix theory, followed by a course in integral multivariable calculus.

  • MTH-115 OR MTH-115H
  • MTH-117

Track 5

A two-term, four-course integrated math-physics sequence covering the material of MTH-115, 117 and PHY-120, 121, by invitation only.

  • IMP-120
  • IMP-121

Below are the titles of Union's calculus courses and the terms in which they are typically offered:

  • MTH 105 - Differential Calculus with Precalculus (Fall and Winter)
  • MTH 110 - Calculus 1: Differential Calculus (Fall and Winter)
  • MTH 112 - Calculus 2: Integral Calculus (Winter and Spring)
  • MTH 113 - Accelerated Single-Variable Calculus (Fall term)
  • MTH 115 - Calculus 3: Differential Vector Calculus and Matrix Theory (Fall, Winter, and Spring)
  • MTH 115H - Calculus 3: Differential Vector Calculus and Matrix Theory, Enriched (Fall, by invitation only)
  • MTH 117 - Calculus 4: Integral Vector Calculus (Fall, Winter, and Spring)
  • IMP 120/121 - Integrated Math/Physics 1 and 2 (Winter and Spring term course sequence, by invitation only)