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Mathematics
| Course Code |
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| Title |
Mathematics for Special Education |
| Prerequisite |
MATH 303 |
| 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 |
Add+VantageMR® I: Math Recovery Strategies for the Classroom |
| Prerequisite |
An undergraduate degree in Elementary or Early Childhood Education |
| Course Outline |
Course Outline |
| Description |
Add+VantageMR® (AVMR): Math Recovery® Strategies for Elementary Classrooms 1 includes dynamic, diagnostic, individual assessments in number words and numerals, structuring numbers, and addition and subtraction strategies. The assessment, data collecting, and teaching tools accelerate the educator's ability to recognize the students' current levels of numeracy understanding to make data-driven instructional decisions. AVMR is beneficial for anyone working or supervising others in mathematics. It is most appropriate for pre-kindergarten through elementary educators. |
| Course Code |
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| Title |
Enumerative and Algebraic Combinatorics |
| Course Outline |
Course Outline |
| Description |
This course is an exploration of Combinatorics using enumerative and algebraic techniques. Topics include, but are not limited to: permutations, sets and subsets, multisets, the twelve-fold way, generating functions, recurrence relations, the principle of inclusion and exclusion, applications of group theory to counting, combinatorial designs, and error correcting codes. |
| Course Code |
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| Title |
Applied Variation, Proportionality, and Related Topics |
| Prerequisite |
Be enrolled in a Masters program or have a prior Masters degree and have at least 15 credits of undergraduate mathematics with a course grades of C- or better. |
| Course Outline |
Course Outline |
| Description |
This course is a comprehensive exploration of variation and proportion and its applications to the world around us. Students will begin by establishing strong skills in solving problems involving proportions. They will then develop the ability to view the worlds of science and engineering through the lens of proportions and variations and establish connections between different branches of mathematics. Finally, students will use their skills to develop methods to enhance understanding of the mathematical relationships that lead to variation, ratio, and proportion. |
| Course Code |
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| Title |
Programming and Technology Tools for Mathematics |
| Prerequisite |
Be enrolled in a Masters program or have a prior Masters degree and have at least 15 credits of undergraduate mathematics with course grades of C- or better. |
| Course Outline |
Course Outline |
| Description |
Programming in R, technical writing using LaTeX, simulations of experiments using a variety of instructional technology, examination of formative assessment tools, and research instructional principles related to the use of computers and technology resources. |
| Course Code |
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| Title |
Introduction to Topology |
| Course Outline |
Course Outline |
| Description |
This course is an exploration of the beginnings of topology. The majority of the course will focus on point-set topology and the very end will discuss some topics of Algebraic topology. We will discuss topologies, bases, separation axioms, separable spaces, second countable spaces, compactness, functions and continuity, quotient spaces, connected spaces, metric spaces, and the classification of two-manifolds. |
| Course Code |
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| Title |
Topics in Mathematics |
| Course Outline |
Course Outline |
| Description |
Topics course in Mathematics. May be repeated for credit when the topic changes. |
| Course Code |
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| Title |
Mathematics Workshop |
| Course Outline |
Course Outline |
| Description |
Mathematics Workshop |
| Course Code |
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| Title |
Teaching Mathematics at the College Level |
| Prerequisite |
Be enrolled in a Masters program or have a prior Masters degree and have at least 15 credits of undergraduate mathematics with course grades of C- or better. |
| Course Outline |
Course Outline |
| Description |
This course is designed to examine mathematics teaching methods at the college level. Students will distinguish different expectations between high school mathematics courses and college level mathematics courses. Current research on mathematical mindsets will be investigated on how they can be applied to college level course work. |
| Course Code |
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| Title |
Mathematical Problem Solving |
| Prerequisite |
Be enrolled in a Masters program or have a prior Masters degree and have at least 15 credits of undergraduate mathematics with a course grades of C- or better. |
| Course Outline |
Course Outline |
| Description |
This course focuses on mastering effective strategies for solving a wide array of mathematical problems. The course will present a framework for mathematical problem solving that includes training in a variety of problem solving heuristics, learning metacognition and self-monitoring skills, and developing a sound mathematical epistemology that supports effective problem solving. Class participants will be expected to complete problem sets that allow them to learn and practice effective mathematical problem solving in the context of actually solving problems over time periods ranging from a few days to one (or more) weeks. |
| Course Code |
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| Title |
Probability and Statistics for Applications |
| Prerequisite |
Students must be enrolled in a Masters program or have a prior Masters degree and have at least 15 credits of undergraduate mathematics with a course grades of C- or better |
| Course Outline |
Course Outline |
| Description |
This course offers a wide range of probability and statistical concepts, concentrating on specific statistical techniques used in science and industry. It provides students with practical ability to choose, generate, analyze, and interpret appropriately, descriptive and inferential statistics. There is an extensive breadth of coverage ranging from elementary methods to such advanced methods as multiple regression and nonparametric analysis. Topics include: Measures of location and variability, probability theory, random variables, common families of distributions, point and interval estimations, hypothesis testing, confidence intervals, chi-square tests, nonparametric statistics, analysis of variance, regression, and correlation. |
| Course Code |
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| Title |
Functions of Complex Variables and Applications |
| Course Outline |
Course Outline |
| Description |
The field of complex numbers is an extension of the field of real numbers. Complex numbers and the function of complex variables have application in many branches of mathematics, including algebraic geometry, number theory, analytic combinatorics, applied mathematics; as well as in physics, including the branches of hydrodynamics, thermodynamics, and particularly quantum mechanics.
In this course, we will study complex numbers, arithmetic of complex numbers, function of complex variables, limit, continuity, differentiation, integration of functions of complex variables and some important theorems on differentiation and integration, convergence of series, types of series, residues, poles, conformal mappings, and finally their applications.
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| Course Code |
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| Title |
Abstract Algebra and Galois Theory |
| Prerequisite |
Be enrolled in a Masters program or have a prior Masters degree and have at least 15 credits of undergraduate mathematics with a course grades of C- or better. |
| Course Outline |
Course Outline |
| Description |
The main goal of this course is to provide an introduction to advanced theory of polynomials and their roots. This course will also establish basic elements on algebraic structures such as groups, rings, and fields. Special attention will be given to polynomial rings and their quotients, extension fields, and the solution of polynomial equations via radicals. |
| Course Code |
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| Title |
Topics in Mathematics |
| Course Outline |
Course Outline |
| Description |
Topical course in Mathematics. May be repeated for credit when the topic changes. |
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