# Courses

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# Courses

### MATH IN SOCIETY I (2 credits)

Math in Society I is the first part of the two-part course Math in Society. This course engages you in an exploration of mathematical ideas, approaches and thinking in society. You will engage with math as it is connected to decision making, problem solving, management science, growth and symmetry, and statistics. You may also consider mathematical ideas and thinking in the context of healthcare and other human-service organizations. Credit is not given for both MATH 1020 and MATH 1050. MATH 1020 and MATH 1030 together are equivalent to MATH 1050. MATH 1020 is designed to prepare students for MATH 1030.

### MATH IN SOCIETY II (2 credits)

Math in Society II is the second part of the two-part course Math in Society. This course engages you in an exploration of mathematical ideas, approaches and thinking in society. You will engage with math as it is connected to decision making, problem solving, management science, growth and symmetry, and statistics. You may also consider mathematical ideas and thinking in the context of healthcare and other human-service organizations. MATH 1020 and MATH 1030 together are equivalent to MATH 1050. MATH 1030 is not designed to prepare students for any other mathematics course. Prerequisites: MATH 1020.

### MATHEMATICAL IDEAS IN CONTEMPORARY SOCIETY (4 credits)

This course offers an examination of mathematical ideas and insights that permeate society and influence modern thinking. The course topics derive from areas including decision making, geometry and measurement, statistics and data analysis, and management science. Other topics may be included depending on current interests of instructor and students. Offered every semester. Also offered in Weekend College; meets every week. Prerequisites: First-year high school algebra and geometry and appropriate level on mathematics/statistics placement assessment. MATH 1050 does not serve as a preparation for any other mathematics course..

### FINITE MATH ANALYSIS (4 credits)

This course involves elementary set theory; linear equations and matrices; linear programming; finite probability and statistics; and applications in managerial, biological and social sciences. Offered every semester. Also offered in Weekend College; meets every week. Prerequisites: High school higher algebra and appropriate level on mathematics/statistics placement assessment or ACT math score. MATH 1070 does not serve as a preparation for any other mathematics course..

### STATISTICAL ANALYSIS (4 credits)

This course is an introduction to fundamental uses and misuses of statistics. Exploratory data analysis, regression and correlation, uncertainty and randomness, intuitive probability, one- and two-sample inference, one-way analysis of variance, interpretation and communication of results are all involved. Use of computers integrated throughout course. Offered every semester. Prerequisites: High school higher algebra and appropriate level on mathematics/statistics placement assessment or ACT math score. Credit is given for only one of the following courses: ECON 2200, ECON 2250, MATH 1080 or PSYC 2050..

### FUNCTIONS WITH CALCULUS 1A (4 credits)

This course is the first of a two-course sequence that integrates calculus with algebra and precalculus concepts. Topics include the basic functions, the calculus of limits and the derivative as related to algebraic functions. The course is intended for those who plan to take MATH 1120 Functions with Calculus 1B. MATH 1110 does not satisfy the math/stat requirement in the liberal arts core. The two-course sequence (MATH 1110/1120) does satisfy the math/stat requirement in the liberal arts core. Prerequisites: High school or higher algebra and appropriate level on math placement/assessment test or ACT math score..

### FUNCTIONS WITH CALCULUS 1B (4 credits)

This course is the second of a two-course sequence that integrates calculus with algebra and precalculus concepts. Topics include the calculus of limits and the derivative as related to exponential, logarithmic, and trigonometric functions. Also includes an introduction to integration. Completion of this course with MATH 1110 satisfies the math/stats liberal arts core requirement; the sequence MATH 1110-1120 prepares students for MATH 1140 Calculus II. A student may NOT receive credit for both Math 1120 and Math 1130 (Calculus I). Prerequisites: Grade of C or better in MATH 1110.

### CALCULUS I (4 credits)

This course covers limits, derivatives and integrals of functions of one real variable and applications. Offered every semester. You may not receive credit for both MATH 1130 and MATH 1120. Prerequisites: Four years of high school mathematics and appropriate level on mathematics/statistics placement assessment or ACT math score.

### CALCULUS II (4 credits)

This course involves techniques of integration; applications of integration; infinite series; L'Hopital's rule and improper integrals. Offered every semester. Prerequisites: A grade of C or better in MATH 1120 or 1130.

### DISCRETE MATHEMATICS (4 credits)

This course covers mathematical induction, introduction to logical reasoning and set theory, including relations and functions; enumeration techniques, generating functions, recurrence relations; graphs and trees; and applications to computer and decision sciences. Offered annually. Prerequisites: Appropriate level on mathematics/statistics placement assessment or ACT math score..

### LINEAR ALGEBRA (4 credits)

The course covers vector and vector spaces; matrices, determinants, systems of linear equations; linear transformations; characteristic vectors; and linear programming. Offered annually. Prerequisites: MATH 1130 or permission of instructor.

### CALCULUS III (4 credits)

This course covers vectors and analytic geometry of three dimensions; functions of several real variables; partial derivatives; and multiple integrals. Offered annually. Prerequisites: MATH 1140.

### MATHEMATICAL STRUCTURES (4 credits)

This course covers the real number system and its operations; patterns and relations, number sense, and number theory; and space and shape, data collection, randomness and uncertainty, with a special emphasis on problem solving and communication. This course is designed to fulfill the Minnesota Board of Teachingâ€™s requirements for grades K-5 teachers of mathematics for elementary education majors. Does not fulfill liberal arts core requirement in mathematics/statistics. Offered every semester. Also offered in Weekend College. Prerequisites: High school higher algebra and appropriate level on mathematics/statistics placement assessment or ACT math score.

### MATHEMATICS FOR MIDDLE SCHOOL TEACHERS (4 credits)

This course covers number sense; space, shape and measurement; data investigations; randomness and uncertainty; patterns, relations and functions; and discrete mathematics with applications to middle school mathematics. It is for elementary education majors seeking a mathematics specialty. Does not fulfill the liberal arts core requirement in mathematics/statistics. Also offered in Weekend College; meets every week. Prerequisites: MATH 2500.

### DIFFERENTIAL EQUATIONS (4 credits)

This course involves methods for solving first order and linear equations; solution of linear systems and power series solutions; introduction to the Laplace transform; and approximation methods and application of differential equations. Offered alternate years. Prerequisites: MATH 1140. Prerequisites with concurrency: MATH 2050.

### ABSTRACT ALGEBRA (4 credits)

This course covers the properties of set, relations and mappings and introduction to groups, rings and fields. Offered in alternate years. Prerequisites: MATH 1800, 2050.

### PROBABILITY (4 credits)

This course involves probability theory in discrete and continuous sample spaces; random variables and distribution functions and moments; the moment-generating function, functions of random variables, law of large numbers and central limit theorem. Offered in alternate years. Prerequisites: MATH 1800, 2060.

### MATHEMATICAL STATISTICS (4 credits)

This course involves random sampling and sampling distributions. It also covers the theory of statistical estimation, criteria and methods of point and interval estimation; theory of testing statistical hypotheses; regression and analysis of variance. Offered alternate years. Prerequisites: MATH 3130.

### GEOMETRY (4 credits)

This course covers axioms for geometries, geometrical transformations and their invariants and non-Euclidean geometries. Prerequisites: MATH 2050.

### DIRECTED STUDY (4 credits)

Directed study is provided for students whose unusual circumstances prohibit taking a regularly scheduled course but who need the material of that course to satisfy a requirement. Availability of this faculty-directed learning experience depends on faculty time and may be limited in any given term and restricted to certain courses. For declared mathematics majors only. Prerequisites: Faculty, department chair and dean approval.

### SENIOR SEMINAR (4 credits)

This course involves the study of mathematical papers and writings in seminar format, involving student-led discussions. There is an emphasis on reading and writing mathematics in a cooperative environment. Requires the production and presentation of paper on seminar topic. Offered winter term. Prerequisites: Senior status or permission of department chair.

### INDEPENDENT STUDY (4 credits)

Prerequisites: Instructor and department chair permission.

### TOPICS (4 credits)

The subject matter of the course is announced in the annual schedule of classes. Content varies from year to year but does not duplicate existing courses. Possible topics include Real Analysis, Number Theory, Mathematical Logic, History of Mathematics, Topology, Complex Variables. Students are invited to suggest topics.