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Mathematics

Course Code
MATH 260  Credits
Title Computer Calculus 
Course Outline Course Outline 
Description Introduction to applications of computer software to calculus. Students must either have taken, or be concurrently enrolled in, Math 261. 



Course Code
MATH 261  Credits
Title Calculus I 
Prerequisite Must have one of the following: ACT Math 24 SAT Math 580 Accuplacer College Level Math 50 Next Gen Accuplacer AAF 255 MATH 142 with grade C- or higher MATH 127 or 127L AND MATH 143 with grade C- or higher 
Lasc Area Goal 4  
Course Outline Course Outline 
Description 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. 



Course Code
MATH 262  Credits
Title Calculus II 
Prerequisite MATH 261 
Lasc Area Goal 4  
Course Outline Course Outline 
Description Calculus of one variable-transcendental functions, applications of integrals, techniques of integration, infinite series. MnTC Goal 4. 



Course Code
MATH 290  Credits 1-4 
Title Topics in Mathematics 
Course Outline Course Outline 
Description This is a topical course in mathematics. The course may be repeated when the topic is different. 



Course Code
MATH 291  Credits
Title LaTeX 
Prerequisite MATH 260 and MATH 262 
Course Outline Course Outline 
Description 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. 



Course Code
MATH 302  Credits
Title Mathematics for Early Childhood 
Prerequisite MATH 110 
Course Outline Course Outline 
Description 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. 



Course Code
MATH 303  Credits
Title Foundations of Number Systems 
Prerequisite MATH 110 
Course Outline Course Outline 
Description 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. 



Course Code
MATH 304  Credits
Title Informal Geometry 
Prerequisite MATH 303 
Course Outline Course Outline 
Description 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. 



Course Code
MATH 311  Credits
Title Introduction to Proof and Abstract Mathematics 
Prerequisite MATH 262 
Course Outline Course Outline 
Description Logic, rules of inference, methods of proof including direct and indirect methods, sets, functions, and mathematical relations and properties of relations. Calculus II must be taken prior to or with Math 311. 



Course Code
MATH 316  Credits
Title Teaching Mathematics in the Middle Grades 
Prerequisite MATH 303 MATH 304 OR MATH 262 
Course Outline Course Outline 
Description 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. 



Course Code
MATH 321  Credits
Title Financial Mathematics 
Prerequisite MATH 229 or MATH 261 
Course Outline Course Outline 
Description The purpose of this course is to provide an understanding of the fundamental concept of financial mathematics, and how those concepts are applied in calculating present and accumulated values for various streams of cash flows. Reserving, valuation, pricing, asset/liability management, investment income, capital budgeting, and valuing contingent cash flows will be discussed. An introduction to financial instruments and the concept of no-arbitrage as it relates to financial mathematics will be given. This course covers topics of CAS/SOA Actuarial Exam 2/FM. 



Course Code
MATH 323  Credits
Title Multi-Variable and Vector Calculus 
Prerequisite MATH 262 and MATH 260 
Course Outline Course Outline 
Description 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. 



Course Code
MATH 327  Credits
Title Introduction to Linear Algebra 
Prerequisite MATH 262 
Course Outline Course Outline 
Description Systems of linear equations, Gauss-Jordan elimination, linear programming, matrices, determinants, vector spaces, linear transformations, and eigenvectors. 



Course Code
MATH 335  Credits
Title Intermediate Probability and Statistics I 
Prerequisite MATH 262 
Course Outline Course Outline 
Description 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. Simple linear regression, one factor ANOVA and ANOVA for regression. 



Course Code
MATH 336  Credits
Title Intermediate Probability and Statistics II 
Prerequisite MATH 335 
Course Outline Course Outline 
Description 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. 



Course Code
MATH 355  Credits
Title Mathematical Modeling 
Prerequisite MATH 327 MATH 323 
Course Outline Course Outline 
Writing Intensive Yes  
Description Techniques of developing and analyzing mathematical descriptions of physical phenomena. 



Course Code
MATH 361  Credits
Title Intermediate Analysis I 
Prerequisite MATH 323 and MATH 311 
Course Outline Course Outline 
Description 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. 



Course Code
MATH 362  Credits
Title Intermediate Analysis II 
Prerequisite MATH 361 
Course Outline Course Outline 
Description 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. 



Course Code
MATH 366  Credits
Title Differential Equations 
Prerequisite MATH 323 
Course Outline Course Outline 
Description Classify a differential equation. Solve a variety of ordinary differential equations and initial value problems using a variety of techniques, including finding exact solutions, numerical solutions, and power series solutions. Be able to discern qualitative information from a differential equation without finding an explicit or implicit solution. Students must meet the prerequisite or be concurrently enrolled in MATH 323



Course Code
MATH 386  Credits
Title Eureka! A History of Mathematical Ideas 
Prerequisite MATH 261 
Course Outline Course Outline 
Writing Intensive Yes  
Description We will explore the history of mathematics from ancient to modern times by using famous equations as entry points to different periods in mathematical history. Once in a period we will explore the development of mathematics at that time, the people involved in that development, the culture at the time, and then fast forward to the modern implications of that particular branch of mathematics. We will move chronologically and connect the mathematics to the development of science, politics, art, music, and many other fields.