2015-2016 Spring Supplemental Undergraduate

MATH 317 Mathematical Foundations for Teachers

Prerequisite: MATH 233 with a grade of “C” or better (C- is not acceptable). Focus is on depth of understanding and ability to explain models and concepts involving number operations, fractions, bases, ratio and proportion, functions, structure of the real and rational numbers.

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MATH 321 Introduction to Abstract Algebra I

Prerequisites: MATH 221 and MATH 228 with the grade of "C" or better (C- is not acceptable). An introduction to abstract algebra. Topics will include: basic number theory, group theory, geometrical connections and mappings.

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MATH 322 Introduction to Abstract Algebra II

Prerequisites: MATH 321 with a grade of "C" or better (C- is not acceptable). A continuation of MATH 321. Topics will include: rings, integral domains, fields and Galois theory.

3

MATH 335 Differential Equations I

Prerequisite: MATH 233 with the grade of "C" or better (C- is not acceptable). Study the theory and solutions of ordinary differential equations including applications.

3

MATH 336 Differential Equations II

Prerequisite: MATH 335 with the grade of "C" or better (C- is not acceptable). Continuation of MATH 335. The existence and uniqueness theory, systems of equations, boundary value problems and an introduction to partial differential equations.

3

MATH 341 Introduction to Modern Geometry I

Prerequisites: MATH 228 with the grade of "C" or better (C- is not acceptable). Explores Euclidean and non-Euclidean geometries from multiple perspectives, with an emphasis on developing problem solving, communication, and logical reasoning skills.

3

MATH 342 Introduction to Modern Geometry II

Prerequisites: MATH 221, MATH 228 and MATH 341 with a grade of "C" or better (C- is not acceptable), or consent of instructor. Continuation of MATH 341. This course will continue the study of the foundations of geometry, exploring Euclidean and non-Euclidean geometries..

3

MATH 350 Elementary Probability Theory

Prerequisite or concurrent enrollment in MATH 132. An introduction to probability. Topics include descriptive techniques, regression counting techniques, probability random variables, probability distributions, mathematical expectations, moment generating functions, transformations, point estimation, confidence intervals and hypothesis testing.

4

MATH 351 Elementary Statistics Theory

Prerequisite: MATH 350; MATH 233 (or concurrent enrollment) with a grade of "C" or better (C- is not acceptable). A continuation of MATH 350. Learn about jointly distributed random variables, central limit theorem, sampling distributions, properties of estimation, confidence intervals and tests of hypothesis.

3

MATH 375 Elementary Numerical Analysis

Prerequisites: MATH 221 with the grade of "C" or better (C- is not acceptable), MATH 233 and ability to program. Numerical solutions of equations and systems of equations; interpolation and approximation; numerical differentiation and integration; numerical solutions of differential equations.

3

MATH 391 Introduction to Number Theory

Prerequisites: MATH 228. Topics will include basic properties of the Natural Numbers, prime numbers, divisibility, factorization, congruences, Euler's phi function, introduction to Diophantine Equations and some group theory.

3

MATH 395 Topics in Mathematics for Teachers

Prerequisites: MATH 182, MATH 228. Emphasis will be on problem solving skills, reasonableness of answers, using calculators and computers and on problem posing.

3