Mathematics

Mathematics

Transfer Pathway A.A.

The 60-credit Mathematics Transfer Pathway A.A. program offers you the powerful opportunity to complete an associate degree and transfer with junior-year status to a designated, mathematics-related bachelor's degree program at one of seven Minnesota State universities.

As a student in this A.A. degree program, you will complete the Mathematics Transfer Pathway Requirements (15 credits), Mathematics Electives (3–6 credits), Additional General Education Requirements (35 credits), Health/Physical Education coursework (2 credits), and General Electives (2–5 credits) for a credit total of 60.

Minnesota State universities

  • Bemidji State University
  • Metropolitan State University
  • Minnesota State University Mankato
  • Minnesota State University Moorhead
  • Southwest Minnesota State University
  • St. Cloud State University
  • Winona State University

Full-time schedule recommendation

See how to schedule your classes each semester to complete your degree in two years.

Full-Time Recommended Course of Study

Part-time schedule recommendation

Recommendations for a part-time schedule are included in the Mathematics Program Planning Guide (see below), or view the full academic catalog.

2022-2023 Required Courses

Mathematics Transfer Pathway Requirements

Course # Course Name Credit(s)
MATH 1133
Calculus I
5

Course Outline
Credits: 5
MNTC Goal Areas: 02, 04
Provides an introduction to single variable calculus and prepares students for Calculus II (MATH 1134). The topics include limits, derivatives (including trigonometric, logarithmic and exponential functions), continuity, applications of derivatives to related rates and optimization, graphing using information from the first and second derivatives, separable differential equations, Riemann Sums, basic integration techniques (including substitution), definite integrals, the Fundamental Theorem of Calculus, Trapezoidal and Simpson's Rule. Students will become proficient with a computer algebra system. Use of technology will be embedded throughout the course. Recommendation based on the Inver Hills Assessment Test results or grade of "C" or higher in MATH 1127 or MATH 1119 within the last 2 years.

Prerequisites:


Corequisites: None
Future Offering:
  • Fall 2022

MATH 1134
Calculus II
5

Course Outline
Credits: 5
MNTC Goal Areas: 02, 04
Prepares students for Multivariable Calculus (MATH 2219). Is the second course in the two-semester sequence of single variable calculus. The topics include applications of the integral: area, volume, surface area, center of mass, work, liquid pressure and arc length; techniques of integration; improper integrals; conics; calculus in polar coordinates; calculus involving parametrically-defined curves; and infinite series. Familiarity with a computer algebra system is expected. Use of technology will be embedded throughout the course.

Prerequisites:

  • MATH 1133 Calculus I

Corequisites: None
Future Offering:
  • Fall 2022

MATH 2219
Multivariable Calculus
5

Course Outline
Credits: 5
MNTC Goal Areas: 02, 04
Extends concepts of single-variable calculus to calculus of several variables. The topics include vectors in three-dimensional space, quadric surfaces, limits in two and three dimensions, partial derivatives, gradients, extreme value problems, multiple integration and applications, space curves, curvature, The Frenet frame, divergence, curl, line integrals, conservative vector fields and potential functions, surface and volume integrals, Green's, Stokes' and the Divergence Theorems. Knowledge of a computer algebra system is expected. Use of technology will be embedded throughout the course.

Prerequisites:

  • MATH 1134 Calculus II

Corequisites: None
Future Offering:
  • Fall 2022

Total Credits in Mathematics Transfer Pathway Requirements 15

Mathematics Electives

Course # Course Name Credit(s)
MATH 2221
Introduction to Linear Algebra
See footnote
3

Course Outline
Credits: 3
MNTC Goal Areas: 02, 04
Provides an introduction to linear algebra topics including: systems of linear equations, matrices, determinants, vector spaces, linear transformations, eigenvalues and eigenvectors, and selected applications. Familiarity with a computer algebra system is expected. Use of technology will be embedded throughout the course.

Prerequisites:

  • MATH 1134 Calculus II

Corequisites: None
Future Offering: None

MATH 2222
Introduction to Differential Equations
See footnote
3

Course Outline
Credits: 3
MNTC Goal Areas: 02, 04
Provides an introduction to ordinary differential equations.Topics include basic definitions, concepts and terminology of ordinary differential equations. Techniques of problem solving are emphasized. Specific topics covered include: solutions and applications of first-order differential equations, solutions of linear differential equations of higher order, applications of second-order linear differential equations, power series solutions, the Laplace transform, systems of linear differential equations, and an introduction to numerical and graphical methods of solution. Familiarity with a computer algebra system is expected. Use of technology will be embedded throughout the course.

Prerequisites:

  • MATH 1134 Calculus II

Corequisites: None
Future Offering: None

Total Credits in Mathematics Electives 3-6

Additional General Education Requirements

Course # Course Name Credit(s)
General Education Credits (MnTC Goal 1)
Communication
3



Prerequisites: None
Corequisites: None
Future Offering: None

General Education Credits (MnTC Goal 2)
Critical Thinking: Satisfied by First Year Experience course or MnTC completion



Prerequisites: None
Corequisites: None
Future Offering: None

General Education Credits (MnTC Goal 3)
Natural Science (1 course must include lab)
2



Prerequisites: None
Corequisites: None
Future Offering: None

General Education Credits (MnTC Goal 4)
Mathematical/Logical Reasoning. Satisfied by MATH1133



Prerequisites: None
Corequisites: None
Future Offering: None

General Education Credits (MnTC Goal 5)
History/Social Sciences/Behavioral Sciences. Include courses from at least 2 disciplines)
3



Prerequisites: None
Corequisites: None
Future Offering: None

General Education Credits (MnTC Goal 6)
Humanities/Fine Arts/Literature. Any additional Goal 6 course
3



Prerequisites: None
Corequisites: None
Future Offering: None

General Education Credits (MnTC Goal 7)
Human Diversity
1



Prerequisites: None
Corequisites: None
Future Offering: None

General Education Credits (MnTC Goal 8)
Global Perspective
1



Prerequisites: None
Corequisites: None
Future Offering: None

General Education Credits (MnTC Goal 9)
Ethical and Civic Responsibility
1



Prerequisites: None
Corequisites: None
Future Offering: None

General Education Credits (MnTC Goal 10)
People and the Environment
1



Prerequisites: None
Corequisites: None
Future Offering: None

Total Credits in Additional General Education Requirements 35

Health/Physical Education

Course # Course Name Credit(s)
Health and PE
1



Prerequisites: None
Corequisites: None
Future Offering: None

Physical Education Elective(s)
1



Prerequisites: None
Corequisites: None
Future Offering: None

Total Credits in Health/Physical Education 2

General Electives

Course # Course Name Credit(s)
General Education Credits (Any MnTC Goal Area)
Any courses numbered 1000 level or higher from any discipline. This may include additional courses from the MnTC and/or Health & Physical Education.
2-5



Prerequisites: None
Corequisites: None
Future Offering: None

Total Credits in General Electives 2-5
Total Credits: 60
‡ Select General Education electives from specified MnTC goal area or from any MnTC goals if none specified.

Footnotes:
Students may select from Math 2221 or Math 2222, or may elect to take both courses. Students should consult with the requirements of their transfer institution when making this decision.