Course Descriptions

Academic Calendar | Course Schedule | Course Descriptions | Degree Requirements

 
MATH 105 Contemporary Mathematics [  4 ] (3)
Fall: All Years        Spring: All Years       
Topics selected from various areas of mathematics, showing the scope and power of mathematics and emphasizing mathematical methods. Topics include circuits, networks, trees, voting analysis, sequences, and recursion. Not intended to prepare students for any subsequent course. Must have successfully completed Elementary Algebra or the listed prerequisites, or acceptable placement score. MnTC Goal 4.
Prerequisite:  OR MDEV 090  OR MDEV 099 

MATH 110 Introduction to Mathematics [  4  4M ] (3)
Fall: All Years        Spring: All Years        Summer: All Years
Algebra, sets, probability, and statistics. Computational proficiency will be assessed and mastery required. Must have successfully completed Elementary Algebra or Intermediate Algebra or an acceptable placement score. MnTC Goal 4.
Prerequisite:  OR MDEV 090  OR MDEV 095  OR MDEV 099 

MATH 127 College Algebra [  4 ] (3)
Fall: All Years        Spring: All Years        Summer: All Years
Exponents, factoring, equations, inequalities, systems of equations, functions, exponential and logarithmic functions, polynomials and rational functions. Must have successfully completed Intermediate Algebra or have an acceptable placement score. Requires a C- or better in MDEV 099. MnTC Goal 4.
Prerequisite:  OR MDEV 099  OR MDEV 095 

MATH 142 Pre-Calculus [  4  4I  4M ] (5)
Fall: All Years        Spring: All Years        Summer: On Demand
Includes equations, complex numbers, functions, polynomials, exponential and logarithmic functions, and trigonometric functions, equations and applications. Students who have successfully completed MATH 127 College Algebra are encouraged to take MATH 143 Trigonometry rather than MATH 142. Requires a B- or better in MDEV 099. MnTC Goal 4.
Prerequisite:  OR MATH 127 

MATH 143 Trigonometry [  4 ] (3)
Fall: All Years        Spring: All Years        Summer: On Demand
Trigonometric functions, identities, applications. Must have successfully completed College Algebra or acceptable placement score. MnTC Goal 4.
Prerequisite:  OR MATH 127 

MATH 227 Survey of Differential Calculus with Algebra [  4M  4 ] (4)
Fall: All Years        Spring: All Years        Summer: On Demand
Review of topics in college algebra with emphasis on solving systems of equations with unique solutions, under determined and overdetermined systems. Introduction to matrices, multiplication of matrices and inverse of a square matrix with emphasis on systems of equations and applications. Derivatives, applications of differentiation and optimization. Not open to mathematics majors or minors. Must have successfully completed MDEV 099 or acceptable placement score. MnTC Goal 4.
Prerequisite:  MDEV 099 

MATH 229 Topics in Calculus [  4I  4M  4 ] (3)
Fall: All Years        Spring: All Years        Summer: All Years
Introduction to differential and integral calculus with an emphasis on applications. Introduction to matrices and their applications. Not open to mathematics majors or minors. Must have successfully completed College Algebra or acceptable placement score. Requires a C- or better in MATH 127. MnTC Goal 4.
Prerequisite:  OR MATH 143  OR MATH 127  OR MATH 142 

MATH 232 Applied Statistics [  4 ] (3)
Fall: All Years        Summer: On Demand
Frequency distributions, introduction to probability, normal distribution, central limit theorem, estimation, tests of hypotheses, non-parametric techniques, design of experiments, one-way and two-way analysis of variance, simple linear regression. May not be taken for credit by those who earned credit in MATH 234 or 336. Students who have completed MATH 262 are encouraged to take MATH 335 rather than MATH 232. Must have successfully completed Intermediate Algebra or the listed prerequisites, or acceptable placement score. MnTC Goal 4.
Prerequisite:  OR MATH 127  OR MDEV 099 

MATH 234 Introduction to Probability and Statistics [  4 ] (3)
Fall: All Years        Spring: All Years        Summer: All Years
Measures of central tendency and variation, probability, probability distributions, sampling distributions and the central limit theorem, estimation and tests of hypotheses for one population mean and proportion, simple linear regression. May not be taken for credit by those who earned credit in MATH 232 or 236 or 336. Students who have completed MATH 262 are encouraged to take MATH 335 rather than MATH 234. Must have successfully completed College Algebra or acceptable placement score. MnTC Goal 4.
Prerequisite:  MATH 127  OR MATH 227 

MATH 238 Statistical Methods (1)
Fall: On Demand       
Estimation and testing of hypotheses for two populations, simple linear regression, multiple linear regression, and model building. A previous statistics course is assumed for entry into this course. Not open for students who are mathematics majors and minors.


MATH 244 Applied Biostatistics [  4  4M ] (4)
Spring: On Demand       
This course provides students with practical statistical tools for analyzing biological data. Students learn the appropriate univariate statistical tests (correlation, regression, t-tests, ANOVA) for common types of biological data, how to apply computer software to conduct the tests, and how to interpret the statistical results. The course ends with a discussion of experimental sampling design. Must have successfully completed College Algebra or acceptable placement score. MnTC Goal 4.
Prerequisite:  MATH 127  OR MATH 143  OR MATH 261 

MATH 260 Computer Calculus (1)
Fall: All Years        Spring: All Years       
Introduction to applications of computer software to calculus. Students must either have taken, or be concurrently enrolled in, Math 261.


MATH 261 Calculus I [  4  4M ] (4)
Fall: All Years        Spring: All Years       
Calculus of one variable-differentiation, introduction to the integral. Students entering Math 261 should have a solid background in algebra and trigonometry. Must have successfully completed College Algebra and Trigonometry or acceptable placement score. MnTC Goal 4.
Prerequisite:  OR MATH 143  OR MATH 142 

MATH 262 Calculus II (4)
Fall: All Years        Spring: All Years       
Calculus of one variable-transcendental functions, applications of integrals, techniques of integration, infinate series.
Prerequisite:  MATH 261 

MATH 290 Topics in Mathematics (1-4)
Fall: On Demand        Spring: On Demand       
This is a topical course in mathematics. The course may be repeated when the topic is different.


MATH 291 LaTeX (1)
Spring: All Years       
An introduction to LaTeX, a mathematical typesetting language, including page layout commands, typesetting formulae, enumerated lists, tables, arrays, graphics, plus other packages and specialized document classes.
Prerequisite:  MATH 262  MATH 260 

MATH 302 Mathematics for Early Childhood (3)

Development of numeration systems, whole number, integer, rational numbers, geometry, and measurement. The content focuses on appropriate representations and models specifically tied to early childhood education. Open only to majors in Early Childhood Education. Does not substitute for MATH 303 or 304. This course does not apply to the mathematics major or minor requirements.
Prerequisite:  OR MATH 110 

MATH 303 Foundations of Number Systems (3)
Fall: All Years        Spring: All Years        Summer: All Years
Sets; systems of numeration; whole number, integer, and rational number operations and properties. Particularly appropriate for early childhood, elementary, and special education majors. This course does not apply to the mathematics major or minor requirements.
Prerequisite:  OR MATH 110 

MATH 304 Informal Geometry (3)
Fall: All Years        Spring: All Years        Summer: All Years
Fundamental concepts of plane and solid geometry, measurement, probability, and statistics. Particularly appropriate for early childhood and elementary education majors. Students must have completed MATH 303 with a grade of "C-" or higher. Not open to mathematics majors or minors.
Prerequisite:  MATH 303 

MATH 306 Mathematics for Special Education (3)
Fall: All Years       
Development of content and methods for teaching mathematics in special education setting. Open only to majors and minors in special education. Does not substitute for MATH 406.
Prerequisite:  MATH 304 

MATH 310 Discrete Mathematics (4)
Fall: All Years        Spring: All Years       
Methods of proof, sets, logic, functions and relations, Boolean algebra, graph theory and number systems. Students must either have taken, or be concurrently enrolled in, MATH 262 Calculus II.
Prerequisite:  MATH 262 

MATH 316 Teaching Mathematics in the Middle Grades (3)
Spring: All Years       
Materials and methods of teaching mathematics in grades 5-8. Open only to math majors with a concentration in teaching and to elementary education majors with a specialty in mathematics. In addition to those students who have completed the listed prerequisites, students who are majoring in secondary math education and who have Junior standing may take this course.
Prerequisite:  MATH 303  MATH 304  OR MATH 262 

MATH 323 Multi-Variable and Vector Calculus (4)
Fall: All Years        Spring: All Years       
Calculus of several variables-- partial differentiation, multiple integration, vector calculus, line and surface integrals, Green's Theorem, and Stoke's Theorem. Students must have taken, or be currently enrolled in, Math 260.
Prerequisite:  MATH 262 

MATH 327 Introduction to Linear Algebra (3)
Spring: All Years       
Systems of linear equations, Gauss-Jordan elimination, linear programming, matrices, determinants, vector spaces, linear transformations, and eigenvectors.
Prerequisite:  MATH 262 

MATH 335 Intermediate Probability and Statistics I (3)
Fall: All Years        Spring: All Years       
Probability, probability distributions of discrete random variables, probability density functions, expected value and variance, sampling distributions and central limit theorem, point and interval estimation, and tests of hypotheses for the population mean.
Prerequisite:  MATH 262 

MATH 336 Intermediate Probability and Statistics II (4)
Spring: All Years       
One and two sample tests of hypotheses, Chi-square tests, analysis of variance, completely randomized and randomized block designs, least square estimation, simple linear regression, multiple linear regression, hypotheses testing and confidence intervals for regression parameters, testing of models, model selection procedures, multicolinearity, introduction of qualitative variables, estimation, interpretation, and testing of hypotheses, checking validity of models.
Prerequisite:  MATH 335 

MATH 355 Mathematical Modeling [  W ] (3)
Spring: Even Years       
Techniques of developing and analyzing mathematical descriptions of physical phenomena.
Prerequisite:  MATH 327  MATH 323 

MATH 361 Intermediate Analysis I (4)
Fall: All Years       
A rigorous treatment of concepts of calculus and foundations of mathematics including logic and sets, Bolzano-Weierstrass Theorem, limits, Heine-Borel Theorem, continuity, and derivative.
Prerequisite:  OR MATH 323  MATH 310 

MATH 362 Intermediate Analysis II (3)
Spring: All Years       
A continuation of the rigorous treatment of concepts of calculus and foundations of mathematics including the Riemann integral, infinite series, sequences of functions and uniform convergence.
Prerequisite:  MATH 361 

MATH 366 Differential Equations (3)
Fall: All Years       
Standard methods of solution for elementary ordinary differential equations. Students must meet the prerequisite or be concurrently enrolled in MATH 323.
Prerequisite:  MATH 323 

MATH 390 Topics in Mathematics (1-4)
Fall: On Demand        Spring: On Demand        Summer: On Demand
This is an upper division topical course that may be repeated when topics changes.


MATH 392 Sophomore Seminar (1)
Spring: All Years       
Students will attend lectures where they will be exposed to research level mathematics and general interest topics. The students will also attend lectures given by their classmates.
Prerequisite:  MATH 310 

MATH 402 Mathematics for Special Education (4)
Spring: Odd Years       
Development of number, algebra, geometry and measurement content along with methods for teaching mathematics in special education setting. Open only to majors and minors in special education. Does not substitute for MATH 406.
Prerequisite:  OR MATH 303 

MATH 406 Mathematics in the Elementary School (3)
Fall: All Years        Spring: All Years       
Materials and methods of teaching elementary school mathematics. Open only to elementary education majors. Taught as part of PFY. Prerequisites: MATH 303 and 304 with grades of "C" or higher.
Prerequisite:  MATH 304  MATH 303 

MATH 411 Introduction to Combinatorics (3)
Spring: Even Years       
Permutations, Binomial Coefficients, Algebraic and Combinatorial Proof Techniques, Multinomial Coefficients, The Pigeonhole Principle, The Principle of Inclusion and Exclusion, Ordinary Generating Functions, Exponential Generating Functions, Integer Partitions, Set Partitions, Stirling Numbers of the First and Second Kind, and Bell Numbers.
Prerequisite:  MATH 262  MATH 310 

MATH 416 Mathematics in the Secondary School [  W ] (3)
Fall: All Years       
Objectives, methods, materials, and evaluation of teaching mathematics in grades 9-12. This course is the upper division writing course for BS majors in mathematics with the emphasis in teaching. Students in this course must have Junior standing.


MATH 421 Actuarial Science I (3)
Spring: Even Years       
Applications and synthesis of mathematical and statistical concepts included in the Actuarial Examination I, administered by the Society of Actuaries. Linear time series models, seasonal models, stationary models, moving average, autoregressive and ARIMA models, model identification, confidence intervals and testing, forecasting and error analysis.
Prerequisite:  MATH 323  MATH 435 

MATH 435 Mathematical Statistics I (4)
Fall: Odd Years       
Discrete and continuous probability distributions, marginal and conditional densities, moment generating functions, transformations, and limiting distributions. Sampling distributions, parametric point estimation and tests of hypotheses.
Prerequisite:  MATH 335  MATH 310 

MATH 450 Numerical Analysis I (4)
Fall: Even Years       
Numerical solutions to systems of equations and differential equations, finite differences, interpolation formulas, numerical calculus, and approximating functions.
Prerequisite:  MATH 323 

MATH 469 Internship (1-12)
Fall: On Demand        Spring: On Demand       
A supervised practical experience in mathematics. A maximum of 12 internship credits may be applied to the degree.


MATH 476 Abstract Algebra I (4)
Fall: All Years       
Groups, rings and integral domains studied as abstract mathematical systems. Lagrange's theorem, factor groups, homomorphisms, polynomial rings and quotient rings.
Prerequisite:  OR MATH 310  MATH 327 

MATH 486 History of Mathematics (3)
Spring: Odd Years       
Topical and chronological survey of the main branches of mathematics. Required for Math Education majors. May not be used as a restricted elective for any other emphasis nor for the B.A. degree in mathematics.
Prerequisite:  MATH 262 

MATH 487 Foundations of Geometry (3)
Spring: All Years       
Systems of geometry such as Euclidean, non-Euclidean, coordinate, synthetic, transformational and projective. Models in geometric systems.
Prerequisite:  MATH 323  MATH 327  MATH 310 

MATH 490 Special Problems in Mathematics (1-4)
Fall: On Demand        Spring: On Demand       
For advanced students to work on independent problems. May be repeated to a maximum of 6 credits.


MATH 491 Mathematical Writing [  W ] (2)
Spring: All Years       
This is a writing intensive course in the major for mathematics majors. It is intended to help students learn how to incorporate mathematics into their own writing.
Prerequisite:  MATH 291 

MATH 492 Senior Seminar (1)
Spring: All Years       
Students will attend lectures where they will be exposed to research level mathematics and general interest topics. The students will also attend lectures given by their classmates.
Prerequisite:  MATH 392 

MATH 497 Independent Study (1-3)
Fall: On Demand        Spring: On Demand       
Individual study, project, or research of special interest agreed upon by student and instructor. Requires approval of department chair and dean.


MATH 502 Mathematics for Special Education (4)
Spring: Odd Years       
Development of number, algebra, geometry and measurement content along with methods for teaching mathematics in special education setting. Open only to majors and minors in special education. Does not substitute for MATH 406.
Prerequisite:  MATH 303 

MATH 587 Foundations of Geometry (3)
Spring: On Demand       
Systems of geometry such as Euclidean, non-Euclidean, coordinate, synthetic, transformational and projective. Models in geometric systems.
Prerequisite:  MATH 361