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Mathematics
| Course Code |
|
| 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 |
|
| 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 MATH 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 |
|
| 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 |
|
| 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 |
|
| 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 |
|
| 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 |
|
| 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 |
|
| 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 |
|
| 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 |
|
| 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 |
|
| 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 |
|
| 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 |
|
| 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 |
|
| 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 |
|
| Title |
Intermediate Probability and Statistics II |
| Prerequisite |
MATH 335 or MATH 435 |
| Course Outline |
Course Outline |
| Description |
This course covers the theory and applications of linear regression models, generalization linear models, tree-based models, autoregressive and forecasting time series models. Topics includes parameter estimations, variables selection, model validation and diagnose, statistical inference and predictions. Student will learn basic R programming language and practically implement the models with real data in the actuarial science contexts. The course covers the topics as required in the Statistics for Risk Modeling (SRM) Exam offered by the Society of Actuaries (SOA) and prepare students for the SRM exam. |
| Course Code |
|
| Title |
Mathematical Modeling |
| Prerequisite |
MATH 327 MATH 323 |
| Course Outline |
Course Outline |
| Description |
Techniques of developing and analyzing mathematical descriptions of physical phenomena. |
| Course Code |
|
| 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 |
|
| 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 |
|
| 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 |
|
| 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. |
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