MATH 1360- Continuation of Calculus I (MATH 1350). Transcendental functions, techniques and applications of integration, Taylor's theorem, improper integrals, infinite series, analytic geometry, polar coordinates, introduction to differential equations.
Prerequisite: satisfactory completion of a course similar to Calculus I (MATH 1350), or a score of 3 or more on the AP Calculus AB or BC exam.
Calculus III 4 Credit Hours
MATH 2350 - Continuation of Calculus II (MATH 1360). Parametric curves, vector functions, partial differentiation, multiple integrals, Green's Theorem and Stoke's Theorem.
Prerequisite: satisfactory completion of a course similar to Calculus II (MATH 1360), or a score of 4 or more on the AP Calculus BC exam.
Discrete Mathematics 3 Credit Hours
MATH 2150 - Introduction to most of the important topics of discrete mathematics, including set theory, logic, number theory, recursion, combinatorics, and graph theory. Much emphasis will be focused on the ideas and methods of mathematical proofs, including induction and contradiction. Prerequisite: satisfactory completion of at least one semester of calculus.
Theory of Numbers 3 Credit Hours
MATH 3110 - A careful study, with emphasis on proofs, of the following topics associated with the set of integers: divisibility, congruences, arithmetic functions, sums of squares, quadratic residues and reciprocity, and elementary results on distributions of primes.
Prerequisites: MATH 2150 (Discrete Mathematics), and either MATH 1360 (Calculus 2) or score of 4 or 5 on the AP Calculus AB or BC exam.
Intro to Linear Algebra 3 Credit Hours
MATH 3130 - Systems of linear equations, matrices, vector spaces, linear independence, basis dimension, determinants, linear transformations and matrices, eigenvalues and eigenvectors.
Prerequisite:completion of or concurrent enrollment in Multivariable calculus course (equivalent of Math 2350, Calculus III)
Intro to Differential Equations 3 Credit Hours
MATH 3400 - First order differential equations, linear second order differential equations, the Laplace transform method, power series solutions, numerical solutions, and linear systems.
Prerequisite: satisfactory completion of at least two semesters of calculus, including the study of series and sequences and improper integrals.
Intro to Analysis 3 Credit Hours
MATH 3410 - This course provides a thorough introduction to proofs in analysis; it covers the real number system, numerical sequences and series, power series, sequences and series of functions, uniform convergence.
Prerequisite: satisfactory completion of a Multivariable calculus course (equivalent of Math 2350, Calculus III). MATH 2150 (Discrete Math) is recommended.
Intro to Probability and Stats 3 Credit Hours
MATH 3810 - The axioms of probability and conditional probability will be studied as well as the development, applications and simulation of discrete and continuous probability distributions. Also, expectation, variance, correlation, sum and joint distributions of random variables will be studied. The Law of Large Numbers and the Central Limit Theorem will be developed. Applications to statistics will include regression, confidence intervals, and hypothesis testing.
Prerequisite: satisfactory completion of a Multivariable calculus course (equivalent of Math 2350, Calculus III)
Modern Analysis I 3 Credit Hours
MATH 4310 - Calculus of one variable, the real number system, continuity, differentiation, integration.
Prerequisite: MATH 2350 and MATH 3410 (or equivalent)
Modern Analysis II 3 Credit Hours
MATH 4320 - Sequence and series, convergence, uniform convergence; Taylor’s theorem; calculus of several variables including continuity, differentiation, and integration.
Prerequisite: Math 4310 (or equivalent)
Note: 1000-level courses are courses that students would under normal circumstances take during their freshman year at the university, 2000-level courses during their sophomore year, and 3000-level courses during their junior year.