Course Outlines

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Course # Course Name Credit(s)
CS 2350 Discrete Structures of Computer Science 4

Course Outline

Credits: 4
MNTC Goal Areas: 04
Introduces theoretical concepts of computer science, number systems, coding schemes, formal logic, sets and relations, induction, recursion, recurrences, graphs, proofs of program correctness, analysis of algorithms, asymptotic complexity measure at an advanced level. Credit will not be awarded for both Math 2100 and CS 2350.

Prerequisites:

  • CS 1110 Computer Programming with Java
  • CS 1119 Computer Programming with C++
  • CS 2300 Algorithms and Data Structures
  • MATH 1118 College Algebra I
  • MATH 1119 College Algebra II
  • MATH 1127 PreCalculus

Corequisites: None
Future Offering: None

MATH 1101 Math for Liberal Arts 3

Course Outline

Credits: 3
MNTC Goal Areas: 02, 04
Gives non-mathematicians an appreciation of mathematical ideas and the power and utility of mathematical skills in the modern world. Topics will be selected from: voting and weighted voting systems, fair division and apportionment; routing, minimum network and scheduling problems; mathematical growth and math of finance; descriptive statistics and data analysis; basic probability and normal distributions. Placement into Read 93/94 or a grade of C or higher in Read 90 within the last 3 years.

Prerequisites:


Corequisites: None
Future Offering:
  • Fall 2022

MATH 1103 Introduction to Statistics 4

Course Outline

Credits: 4
MNTC Goal Areas: 02, 04
Presents basic statistics which includes descriptive and graphical statistics, basic probability, probability distributions, sampling distributions, confidence intervals and hypotheses testing for one or two populations, linear regression, chi-square tests, and ANOVA. Professional statistical software, such as Minitab, will be integrated throughout the class. Graphing calculator required for the course. Recommendation based on the results of the Inver Hills Assessment Test or grade of "C" or higher in MATH 0820 or 0840 within the last 2 years.

Prerequisites:


Corequisites:
  • MATH 0103 Statistics Support

Future Offering:
  • Fall 2022

MATH 1107 Mathematical Foundations 4

Course Outline

Credits: 4
MNTC Goal Areas: 02, 04
Includes the topics: analysis of the problem solving process; sets and number systems; operations, properties, and computation with the real numbers and their classic subsets; number theory; decimals, ratio, proportion, and percents; statistics; probability; measurement; relations, functions and patterns; algebra models; geometric shapes; and applications. This course can be used for prospective elementary education majors and liberal arts students. This course meets the Minnesota Professional Educator Licensing and Standards Board (PELSB) 8710.3200, Subp. 3, Standard H1 a, b, c, H2 a, b, H3 a, b, c, d, H4 a, b, H5 a, b, H6 a, b, H7 a, b, c, d. Prerequisite: Recommendation based on the results of the Inver Hills Assessment Test or grade of "C" or higher in MATH 0840 within the last 2 years.

Prerequisites:


Corequisites: None
Future Offering: None

MATH 1118 College Algebra I 4

Course Outline

Credits: 4
MNTC Goal Areas: 02, 04
Prepares students for Calculus I (MATH 1133) when taken in sequence with MATH 1119 or for Survey of Calculus (MATH 1120). Topics include the study of algebraic, exponential, and logarithmic functions; graphing functions using transformations; inverse functions; polynomial, exponential, logarithmic equations; systems of linear and non-linear equations; applied problems; building models from data. Use of technology will be embedded throughout the course. Recommendation based on the results of the Inver Hills Assessment Test or grade of C or higher in MATH 0940 within the last 2 years.

Prerequisites:


Corequisites:
  • MATH 0118 College Algebra Support

Future Offering:
  • Fall 2022

MATH 1119 College Algebra II 4

Course Outline

Credits: 4
MNTC Goal Areas: 02, 04
Prepares students for Calculus I (MATH 1133) when taken in sequence with College Algebra I (MATH 1118). Topics include trigonometric functions and their graphs, trigonometric identities and applications, law of sines and cosines, solving trigonometric and parametric equations, conic sections, polar coordinates and graphing functions in polar form, vectors and the complex plane. Use of technology will be embedded throughout the course.

Prerequisites:


Corequisites: None
Future Offering:
  • Fall 2022

MATH 1120 Survey of Calculus 3

Course Outline

Credits: 3
MNTC Goal Areas: 02, 04
Provides students with a survey of topics from differential and integral calculus. This course is not intended as a prerequisite for other courses in calculus. Topics include functions and limits; differentiation of algebraic, exponential, and logarithmic functions; basic integration including the substitution method. Applications include graphing functions, optimization problems, related rates, growth and decay models, and area under curves. Applications are drawn from the life and physical sciences, business and economics, and the social sciences. Recommendation based on the Inver Hills Assessment Test results or grade of C or higher in MATH 1118 or MATH 1127 within the last 2 years.

Prerequisites:


Corequisites: None
Future Offering:
  • Fall 2022

MATH 1127 PreCalculus 5

Course Outline

Credits: 5
MNTC Goal Areas: 02, 04
Prepares students for Calculus I (MATH 1133). Topics include the study of algebraic, exponential, logarithmic, and trigonometric functions; graphing functions using transformations; inverse functions; polynomial, exponential, logarithmic, and trigonometric equations; applied problems; trigonometric identities. Time permitting, building models from data may be included. Use of technology will be embedded throughout the course. Recommendation based on the Inver Hills Assessment Test results or grade of B or higher in MATH 0940 within the last 2 years.

Prerequisites:


Corequisites: None
Future Offering:
  • Fall 2022

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 2100 Discrete Mathematics 4

Course Outline

Credits: 4
MNTC Goal Areas: 02, 04
Introduces number systems, coding schemes, formal logic, sets and relations, induction, recursion, recurrence relations, graphs, trees, and analysis of algorithms. Credit will not be awarded for both MATH 2100 and CS 2350.

Prerequisites:

  • MATH 1119 College Algebra II
  • MATH 1127 PreCalculus

Corequisites: None
Future Offering: None

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

MATH 2221 Introduction to Linear Algebra 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 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

MATH 2223 Linear Algebra and Differential Equations 5

Course Outline

Credits: 5
MNTC Goal Areas: 02, 04
Provides an introduction to linear algebra and ordinary differential equation topics including: systems of linear equations, matrices, determinants, vector spaces, linear transformations, eigenvalues and eigenvectors, basic concepts and terminology of ordinary differential equations, solutions and applications of first-order differential equations, solutions of linear differential equations of higher-order, applications of second-order differential equations, the Laplace transform, systems of linear differential equations, and an introduction to numerical and graphical methods of solution. Techniques of problem solving are emphasized. Familiarity with a computer algebra system is expected. Use of technology will be embedded throughout the course.

Prerequisites:

  • MATH 2219 Multivariable Calculus

Corequisites: None
Future Offering: None

PHIL 1115 Introduction to Logic and Critical Reasoning 3

Course Outline

Credits: 3
MNTC Goal Areas: 02, 04
Gives students an appreciation of logical concepts and methodology. Examines the basic principles of logic and critical thinking in a natural language context. Emphasis on different kinds of arguments, syllogisms, methods of argument evaluation, and the detection of common fallacies as they arise in contexts such as political debate, advertising, science, law, and ethics.

Prerequisites: None
Corequisites: None
Future Offering:

  • Fall 2022
  • Spring 2023

PHIL 1120 Symbolic Logic 3

Course Outline

Credits: 3
MNTC Goal Areas: 02, 04
Uses propositional and predicate calculus to study deductive reasoning via the symbolic languages of propositional and predicate logic. Examines basic logical concepts (validity, logical truth, contradiction, entailment, equivalence), the symbolization of arguments expressed in natural language, and evaluates them via truth tables, formal proofs, or truth trees. This course is ideal for students interested in computer science, engineering, mathematics, or in pursuing further studies in philosophy.

Prerequisites: None
Corequisites: None
Future Offering:

  • Fall 2022