Mathematics

Recommended Course of Study

Transfer Pathway A.A.

Note: Not all courses will be available every semester. For a complete list of Minnesota Transfer Curriculum (MnTC) Goal Area course choices, please visit: inverhills.edu/MnTC

2023-2024 Required Courses

Semester 1

Course # Course Name Credit(s)
  MATH 1133
Calculus I
Course required for major. (Goal 4)
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:
  • Summer 2023
  • Fall 2023
  • Spring 2024
  • Summer 2024
  • Fall 2024
  • Spring 2025

  ENG 1108
Writing And Research Skills
4

Course Outline
Credits: 4
MNTC Goal Areas: 01, 02
Provides instruction and practice in reading, researching, and writing for college.

Prerequisites:


Corequisites:
  • ENG 0108 Workshop for Writing and Research Skills

Future Offering:
  • Summer 2023
  • Fall 2023
  • Spring 2024
  • Summer 2024
  • Fall 2024
  • Spring 2025

General Education Credits (MnTC Goal 6a)
You are encouraged to take a course that also meets MnTC Goal Areas 7, 8, 9, or 10 to streamline your course choices.
3



Prerequisites: None
Corequisites: None
Future Offering: None

Health and PE
2



Prerequisites: None
Corequisites: None
Future Offering: None

General Education Credits (MnTC Goal 2)
First Year Experience course
1-2



Prerequisites: None
Corequisites: None
Future Offering: None

Total Credits in Semester 1 15-16

Semester 2

Course # Course Name Credit(s)
  MATH 1134
Calculus II
Course required for major
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:
  • Summer 2023
  • Fall 2023
  • Spring 2024
  • Summer 2024
  • Fall 2024
  • Spring 2025

  COMM 1100
  COMM 1110
  COMM 2230
Interpersonal Communication    OR

Public Speaking    OR

Small Group Communication
3

Interpersonal Communication
Course Outline
Credits: 3
MNTC Goal Areas: 01, 07
Is a course that helps students recognize that we live and work in relationship with others and must communicate effectively with them to achieve our goals. This class helps students acquire the skills to effectively communicate with family members, intimate others, co-workers, friends, and acquaintances. After reviewing relevant interpersonal theory, students will examine and identify their own communication attitudes and behaviors. Students will also learn and apply techniques for improving communication in their relationships through active practice. Students will participate in multiple activities, both in and outside the classroom setting, to build their interpersonal communication skills. This course is open to all students and meets the Minnesota Professional Educator Licensing and Standards Board (PELSB) 8710.2000, Subp. 7, Standard 6C, D, F, & G.

Prerequisites: None
Corequisites: None
Future Offering:

  • Summer 2023
  • Fall 2023
  • Spring 2024
  • Summer 2024
  • Fall 2024
  • Spring 2025

Public Speaking
Course Outline
Credits: 3
MNTC Goal Areas: 01, 02
Is the introductory study of the theory and practice of public speaking. Public presentation skills are required for individuals to be successful in our workplaces, communities and many other contexts in today's society. Students will learn about the different types of public speeches commonly encountered and learn how to research, organize and write their ideas into clear and understandable forms of public communication. Students will also practice the delivery skills needed to present ideas effectively. Students will be required to speak and participate often and will also be required to present their speeches in a classroom setting with an audience of their peers and an instructor.

Prerequisites: None
Corequisites: None
Future Offering:

  • Summer 2023
  • Fall 2023
  • Spring 2024
  • Summer 2024
  • Fall 2024
  • Spring 2025

Small Group Communication
Course Outline
Credits: 3
MNTC Goal Areas: 01, 02
Introduces students to the practice and theory of communicating in small group settings. Working in groups is an integral part of living in today's society. Community and workplace situations require us to be able to lead, participate, and follow effectively. Participating in this course will assist students in developing the leadership, conflict management, problem solving and discussion skills necessary to function in group settings. Students will apply small group communication theory in small, task-oriented groups and develop presentation skills to showcase their understanding of what it means to be an effective group member. Evaluating the effectiveness of their own and others' group communication behaviors is also required.

Prerequisites: None
Corequisites: None
Future Offering:

  • Spring 2024
  • Spring 2025

General Education Credits (MnTC Goal 3a)
with lab elective. You are encouraged to take a course that also meets MnTC Goal Areas 7, 8, 9, or 10 to streamline your course choices.
4



Prerequisites: None
Corequisites: None
Future Offering: None

General Education Credits (MnTC Goal 5)
You are encouraged to take a course that also meets MnTC Goal Areas 7, 8, 9, or 10 to streamline your course choices.
3



Prerequisites: None
Corequisites: None
Future Offering: None

Total Credits in Semester 2 15

Semester 3

Course # Course Name Credit(s)
  MATH 2219
Multivariable Calculus
Course required for major
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 2023
  • Fall 2024

  ENG 1114
  ENG 1130
The Research Paper    OR

Writing and Research For the Professions
2-3

The Research Paper
Course Outline
Credits: 3
MNTC Goal Areas: 01, 02
Emphasizes critical analysis of fiction or nonfiction texts, at least one book-length, resulting in a research paper that reflects analysis and synthesis of multiple sources. Prereq: Grade of C or higher in ENG 1108.

Prerequisites:

  • ENG 0101 Composition I: Expository Writing
  • ENG 1108 Writing And Research Skills

Corequisites: None
Future Offering:
  • Summer 2023
  • Fall 2023
  • Spring 2024
  • Summer 2024
  • Fall 2024
  • Spring 2025

Writing and Research For the Professions
Course Outline
Credits: 3
MNTC Goal Areas: 01, 02
Emphasizes critical audience analysis of professional texts across the disciplines, at least one book length, resulting in a professional research proposal, feasibility study, or report that reflects analysis and synthesis of multiple sources, persuasion, and students' mastery of professional and audience analysis, business writing, researching, and evaluative skills. Prerequisites: ENG 1108 or equivalent, with grade of C or better.

Prerequisites:

  • ENG 1108 Writing And Research Skills

Corequisites: None
Future Offering:
  • Fall 2023
  • Spring 2024
  • Fall 2024
  • Spring 2025

General Education Credits (MnTC Goal 3b)
4



Prerequisites: None
Corequisites: None
Future Offering: None

General Education Credits (MnTC Goal 5)
You are encouraged to take a course that also meets MnTC Goal Areas 7, 8, 9, or 10 to streamline your course choices.
3



Prerequisites: None
Corequisites: None
Future Offering: None

Total Credits in Semester 3 15

Semester 4

Course # Course Name Credit(s)
  MATH 2221
  MATH 2222
Introduction to Linear Algebra    OR

Introduction to Differential Equations
Math 2222 Course required for major
3-6

Introduction to Linear Algebra
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:
  • Spring 2024
  • Spring 2025

Introduction to Differential Equations
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:
  • Spring 2024
  • Spring 2025

General Education Credits (MnTC Goal 5)
You are encouraged to take a course that also meets MnTC Goal Areas 7, 8, 9, or 10 to streamline your course choices.
3



Prerequisites: None
Corequisites: None
Future Offering: None

General Education Credits (MnTC Goal 6b)
You are encouraged to take a course that also meets MnTC Goal Areas 7, 8, 9, or 10 to streamline your course choices.
3



Prerequisites: None
Corequisites: None
Future Offering: None

General Education Credits (MnTC Goal 6a)    OR

General Education Credits (MnTC Goal 6b)
You are encouraged to take a course that also meets MnTC Goal Areas 7, 8, 9, or 10 to streamline your course choices.
3

General Education Credits (MnTC Goal 6a)


Prerequisites: None
Corequisites: None
Future Offering: None

General Education Credits (MnTC Goal 6b)


Prerequisites: None
Corequisites: None
Future Offering: None

General Education Credits (Any MnTC Goal Area)
0-3



Prerequisites: None
Corequisites: None
Future Offering: None

Total Credits in Semester 4 14-15
Total Credits: 60
‡ Select General Education electives from specified MnTC goal area or from any MnTC goals if none specified.