Mathematical and statistical topics relevant to Data Science. Background on multivariable functions and calculus, probability, and advanced linear algebra for tools used in Data Science.
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.
An introduction to abstract algebra. Topics will include: basic number theory, group theory, geometrical connections and mappings.
A continuation of
MATH 321. Topics will include: rings, integral domains, fields and Galois theory.
Study the theory and solutions of ordinary differential equations including applications.
Continuation of
MATH 335. The existence and uniqueness theory, systems of equations, boundary value problems and an introduction to partial differential equations.
Explores Euclidean and non-Euclidean geometries from multiple perspectives, with an emphasis on developing problem solving, communication, and logical reasoning skills.
Continuation of Math 341. This course will continue the study of the foundations of geometry, exploring Euclidean and non-Euclidean geometries.
An introduction to probability. Axioms of probability, conditional probability, combinatorial techniques, discrete and continuous random variables, central limit theorem. Elements of statistical inference: estimators, confidence intervals and hypothesis testing.
Concurrent Prerequisite
MATH 132 with a minimum grade of C
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.
Numerical solutions of equations and systems of equations; interpolation and approximation; numerical differentiation and integration; numerical solutions of differential equations.
(
MATH 221 with a minimum grade of C) and (
MATH 233 with a minimum grade of D-) and (
CS 120 with a minimum grade of C)
This course focuses on Mathematical Problem Solving for future elementary and middle school teachers. Emphasis is on problems that require fundamental concepts from a variety of mathematical topics and levels. This course is designed for prospective elementary teachers in the mathematics track.
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.
Emphasis will be on problem solving skills, reasonableness of answers, using calculators and computers and on problem posing.