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Mathematics
| Course Code |
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| 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 |
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| 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 |
| 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 |
|
| 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 |
|
| 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 |
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| 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 |
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| 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. |
| Course Code |
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| Title |
Topics in Mathematics |
| Course Outline |
Course Outline |
| Description |
This is an upper division topical course that may be repeated when topics changes. |
| Course Code |
|
| Title |
Sophomore Seminar |
| Prerequisite |
MATH 311 |
| Course Outline |
Course Outline |
| Description |
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. |
| Course Code |
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| Title |
Independent Study |
| Course Outline |
Course Outline |
| Description |
Individual study, project, or research of special interest agreed upon by student and instructor. Requires approval of department chair and dean. |
| Course Code |
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| Title |
Mathematics for Special Education |
| Prerequisite |
MATH 303 OR MATH 110 |
| Course Outline |
Course Outline |
| Description |
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. |
| Course Code |
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| Title |
Mathematics in the Elementary School |
| Prerequisite |
MATH 304 MATH 303 |
| Course Outline |
Course Outline |
| Description |
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. |
| Course Code |
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| Title |
Introduction to Combinatorics |
| Prerequisite |
MATH 262 and MATH 311 |
| Course Outline |
Course Outline |
| Description |
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. |
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