Mathematics

Courses

MATH0900: Essential Mathematics

Credits 3
Whole numbers, fractions and mixed numbers, decimals, ratio, proportion, percent, measurement, geometry, introduction of algebra, solving equations, and statistics. This is a credit/no credit course. Receiving credit for this course prepares the student to take MATH1100 or MATH2240. Credit for courses numbered below 1000 is not transferable.

MATH0950: Intermediate Algebra

Credits 3
Linear equations and inequalities, graphing lines, systems of equations, exponents, polynomials, factoring, radicals, complex numbers, and the quadratic formula. This is a credit/no credit course. This course prepares the student to take MATH1300. Credit for courses numbered below 1000 is not transferable. Students need to verify they have the prerequisites the first day of class.
Prerequisites
ACT Math score of 21 or higher, or SAT Math score of 570 or higher, or Accuplacer Elementary Algebra score of 74 or higher, or Accuplacer QRAS score of 250 or higher, or instructor's approval.

MATH1100: Liberal Arts Mathematics

Credits 3
Students will explore mathematical ideas and logical reasoning. This class will look at mathematical applications in life which may include topics such as statistics, fair voting schemes, prime numbers, and modular arithmetic. Students will also develop their own insights and theorems through the exploration of mathematical patterns. The content of the class may vary each semester. The course satisfies the general education mathematics competency requirement. The course is designed for non-science majors. Students need to verify they have the prerequisites the first day of class.
Prerequisites
ACT Math score of 21 or higher, or SAT Math score of 570 or higher, or Accuplacer Elementary Algebra score of 74 or higher; or Accuplacer QRAS score of 250 or higher, or credit for MATH0900.

MATH1300: College Algebra

Credits 3

This course covers solving linear equations, including those with absolute values, as well as graphing and its various applications. Additional topics will include polynomial functions, focusing on their zeroes, division of polynomials, composition functions, complex numbers, and fundamental theorem of algebra. Graphing and solving problems involving logarithms and exponents will also be covered. This course prepares students to take MATH1400 and MATH2510.

Prerequisites

ACT Math score of 23 or higher, or SAT Math score of 600 or higher, or Accuplacer Elementary Algebra score of 117 or higher, or Accuplacer College Level Math score of 50 or higher, or Accuplacer QRAS or AAF score of 265 or higher, or instructor's approval.

MATH1400: Trigonometry

Credits 3

This course covers trigonometric identities, trigonometric equations, and the laws of sines and cosines. Additional topics include finding the area of triangles and an introduction to complex numbers.  This course prepares students to take MATH2510. 

Prerequisites

MATH1300 (a grade of C or better); ACT Math score of 26 or higher, or SAT Math score of 670 or higher, or Accuplacer College Level Math score of 60 or higher, or Accuplacer AAF score of 285 or higher, or instructor's approval.

MATH2010: Fundamental Mathematical Structures I

Credits 3
Includes problem solving and mathematical reasoning, sets, relations and functions, numeration, the system of whole numbers, integers and rational numbers, and number theory. Laboratory activities are included. Students need to verify they have the prerequisites the first day of class.
Prerequisites
EDUC1100 or EDUC1125 and enrollment in a program leading to an elementary or secondary teaching certificate; ACT Math score of 21 or higher, or SAT Math score of 570 or higher, or Accuplacer Elementary Algebra score of 74 or higher, or Accuplacer QRAS score of 250 or higher.

MATH2020: Fundamental Mathematical Structures II

Credits 3

Includes probability and statistics, basic geometric concepts and measurement, constructions, congruence, Euclidean & Transformational Geometry. Laboratory activities are included.

Prerequisites

MATH2010, or instructor's approval.

MATH2240: Elementary Statistics

Credits 3

Emphasis on graphical and numerical descriptions of data, analyzing relationships between categorical variables, constructing and interpreting confidence intervals. Core topics include hypothesis testing, linear regression, and correlation, as well as an introduction to probability theory.

Prerequisites

ACT Math score of 21 or higher, or SAT Math score of 570 or higher, or Accuplacer Elementary Algebra score of 74 or higher; or Accuplacer QRAS score of 250 or higher or credit for MATH0900. or higher, or instructor's approval.

MATH2310: Discrete Mathematics

Credits 3

This course introduces base representations of integers, concepts of divisibility, primes, and decomposition, and set theory. Topics also include modular arithmetic, an introduction to combinatorics, graph theory (network theory), and basic proof writing.

Prerequisites

MATH1300 (a grade of C or better).

MATH2510: Calculus I

Credits 4

The computation and application of derivatives, including those involving trigonometric functions, exponents, and logarithms. Practical applications of derivatives, such as optimization and motion problems, will be covered. Integrals and the relationship between a function, its derivative, and its antiderivative.

Prerequisites

MATH1400 (a grade of C or better); ACT Math score of 28 or higher, or SAT Math score of 710 or higher, or Accuplacer College Level Math score of 103 or higher, or Accuplacer AAF score of 300 or higher, or instructor's approval.

MATH2520: Calculus II

Credits 4

This course covers applications of the integral and various techniques of integration. Additional topics include polar coordinates, the convergence of sequences and series, and Taylor series.

Prerequisite Courses

MATH3245: Probability and Statistics for Science and Engineering

Credits 3
This course will develop a thorough understanding of the methods of probability and statistics which are used to model engineering problems and develop the necessary skills to implement and analyze basic statistical models using computer software. Intended for engineering majors.
Prerequisite Courses

MATH3250: Probability and Statistics II

Credits 3

This course covers transforms, Bernoulli & Poisson processes, and Bayesian Statistical Inference.

Continues into probability with classical statistical inference, Markov chains, and derived distributions.

Prerequisite Courses

MATH3310: Methods of Proof

Credits 3
Logic, mathematical induction, sets, equivalence relations and equivalence classes, and order relations are studied. Emphasis is given to constructing sound mathematical arguments.
Prerequisites
MATH2310 or MATH2510, or instructor's approval.

MATH3320: Linear Algebra

Credits 3

This course covers systems of linear equations, matrix operations, and linear transformations. Topics also include determinants, change of basis, and eigenvalues and eigenvectors.

Prerequisites

MATH3410: Planar Geometry

Credits 3

This course focuses on Euclidean planes, covering axioms and theorems, and the structure of mathematical proofs. Non-Euclidean geometries will also be introduced.

Prerequisites

MATH1400 or MATH2510, or instructor's approval.

MATH3530: Vector Calculus

Credits 4

This course covers multivariable limits, the Jacobian derivative, and changing the order of integration. Topics also include change of variables, parametric curves, and scalar/vector integrals for curves, surfaces, and solids. The course concludes with Gauss’, Green’s, & Stoke’s Theorem.

Prerequisite Courses

MATH3540: Differential Equations

Credits 4

This course focuses on solving linear differential equations, series methods, and exact equations using integrating factors. Topics also include Picard's method of successive approximations and the Laplace transform.

Prerequisite Courses

MATH3560: Numerical Analysis

Credits 3

This course covers floating-point representation and errors, locating roots of equations, polynomial interpolation, and numerical differentiation and integration. Additional topics include differential equations, splines, least squares, and Monte Carlo methods and simulation.

Prerequisite Courses

MATH3570: Teaching Mathematics in the Secondary School

Credits 2
This course explores strategies for teaching math in secondary schools. A major focus of the class will be moving secondary students through enactive, iconic, and symbolic representation for concepts in the five major areas of math: algebra, functions, geometry, statistics/probability, and number/quantity. Other topics will include standards alignment, technology integration, and assessment. Field experience: 20-40 hours. (See EDUC3570.)
Prerequisites
Junior classification. Program admission.

MATH4100: History of Mathematics/Capstone

Credits 1
A study of the emergence of numeration methods, the invention of new mathematical systems, the development of geometry, algebra, calculus and related concepts, and the life stories of some of the persons involved. May be repeated for credit.
Prerequisite Courses

MATH4520: Real Analysis II

Credits 2

This course focuses on proofs of calculus including continuity, differentiation, integration, sequences and series of functions.

Prerequisite Courses