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Mathematics
| 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 |
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| 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 |
Add+VantageMR® I: Math Recovery Strategies for the Classroom |
| Prerequisite |
MATH 302 or MATH 304 |
| 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 |
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. |
| Course Code |
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| Title |
Tools & Technology for Secondary Mathematics |
| Prerequisite |
Have at least 15 credits of undergraduate mathematics with course grades of C- or better which includes statistics and Calculus II. |
| Course Outline |
Course Outline |
| Description |
This course is designed to educate pre-service secondary teachers of mathematics in the integration of instructional technology to aid in the teaching and learning of mathematics. This will involve students to acquire and demonstrate expertise with software, apps, and calculators. Develop mathematics lessons using information from discussion and research. These lessons will involve students in an active and meaningful mathematical learning experience involving instructional technology. |
| Course Code |
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| Title |
Mathematics in the Secondary School |
| Course Outline |
Course Outline |
| Writing Intensive |
Yes |
| Description |
Objectives, methods, materials, and evaluation of teaching mathematics in grades 9-12. This course is the upper division writing course for BS majors in mathematics with the emphasis in teaching. Students in this course must have junior standing. |
| Course Code |
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| Title |
Actuarial Science I |
| Prerequisite |
MATH 323 MATH 435 |
| Course Outline |
Course Outline |
| Description |
Applications and synthesis of mathematical and statistical concepts included in the Actuarial Examination I, administered by the Society of Actuaries. Linear time series models, seasonal models, stationary models, moving average, autoregressive and ARIMA models, model identification, confidence intervals and testing, forecasting and error analysis. |
| Course Code |
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| Title |
Linear Algebra II |
| Prerequisite |
MATH 327 |
| Course Outline |
Course Outline |
| Description |
In this course, students will learn about vector spaces, including subspaces, sums, direct sums, span, linear independence, bases and dimensions. Students will understand the relationship between matrices and linear transformations including, eigenvectors, eigenspaces, the characteristic polynomial, Jordan form, determinants and trace. |
| Course Code |
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| Title |
Mathematical Statistics I |
| Prerequisite |
MATH 335 and MATH 311 |
| Course Outline |
Course Outline |
| Description |
Discrete and continuous probability distributions, marginal and conditional densities, moment generating functions, transformations, and limiting distributions. Sampling distributions, parametric point estimation and tests of hypotheses. |
| Course Code |
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| Title |
Mathematical Statistics II |
| Prerequisite |
MATH 435 and MATH 336 |
| Course Outline |
Course Outline |
| Description |
Students will learn the theoretical aspects of estimation and hypotheses testing procedures, and their applications. |
| Course Code |
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| Title |
Numerical Analysis I |
| Prerequisite |
MATH 323 and CSIS 152 and MATH 311 |
| Course Outline |
Course Outline |
| Description |
Numerical solutions to systems of equations and differential equations, finite differences, interpolation formulas, numerical calculus, and approximating functions. |
| Course Code |
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| Title |
Differential Equations II |
| Prerequisite |
MATH 366 |
| Course Outline |
Course Outline |
| Description |
A continuation of MATH 366. The students will learn more advanced techniques for solving differential equations and modeling using differential equations. Students will also learn about partial differential equations and some basic solutions to them. |
| Course Code |
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| Title |
Internship |
| Course Outline |
Course Outline |
| Description |
A supervised practical experience in mathematics. A maximum of 12 internship credits may be applied to the degree. |
| Course Code |
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| Title |
Abstract Algebra I |
| Prerequisite |
MATH 327 and MATH 311 |
| Course Outline |
Course Outline |
| Description |
Groups, rings and integral domains studied as abstract mathematical systems. Lagrange's theorem, factor groups, homomorphisms, polynomial rings and quotient rings. |
| Course Code |
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| Title |
Abstract Algebra II |
| Prerequisite |
MATH 476 |
| Course Outline |
Course Outline |
| Description |
Fields, Field Extensions, Galois Theory, Sylow Theorems, Finite Simple Groups, Generators and Relations and Cayley Graphs of Groups. |
| Course Code |
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| Title |
History of Mathematics |
| Prerequisite |
MATH 262 |
| Course Outline |
Course Outline |
| Description |
Topical and chronological survey of the main branches of mathematics. Required for Math Education majors. May not be used as a restricted elective for any other emphasis nor for the B.A. degree in mathematics. |
| Course Code |
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| Title |
Foundations of Geometry |
| Prerequisite |
MATH 323 and MATH 327 and MATH 311 |
| Course Outline |
Course Outline |
| Description |
Systems of geometry such as Euclidean, non-Euclidean, coordinate, synthetic, transformational and projective. Models in geometric systems. |
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