Mathematics and Statistics
| MATH 091 | Introductory Algebra | |
| 1.00 credit | (4,0,0) hrs | 05 wks |
| Prerequisite: Math Placement Test (MPT); or Principles of Math 11 or Pre-calculus 11 or Applications of Math 12 or Foundations of Math 12 with a minimum C- grade or Foundations of Math 11 with a minimum C grade | ||
| This course develops the concepts of introductory algebra with emphasis on the real number system, the algebra of exponents, factoring, and operations involving polynomials and rational expressions. This course is intended for students who need to refresh their basic algebra skills. | ||
| Note: This course is completed in the first five weeks of the term and is followed by Math 096 for the remainder of the semester. | ||
| MATH 096 | Intermediate Algebra with Functions | |
| 2.00 credits | (4,0,0) hrs | 10 wks |
| Prerequisite: MATH 091 or BMTH 043 with a minimum B- grade; or BMTH 044 with a minimum C grade | ||
| This course develops the concepts of intermediate algebra including solving equations and application problems involving polynomials (with a focus on linear and quadratic expressions), rational expressions, and radical expressions. The concept of a function is also introduced. This course is intended for students who have already completed a basic introduction to algebra. | ||
| Note: This course starts in week 6, following the completion of Math 091, and continues until the end of the term. | ||
| MATH 101 | Introduction to Statistics | |
| 3.00 credits | (4,0,0) hrs | 15 wks |
| Prerequisite: Math Placement Test (MPT); or MATH 091 or BMTH 043 with a minimum C+ grade; or MATH 096 or BMTH 044 with a minimum C- grade; or Principles of Math 11 or Pre-calculus 11 or Foundations of Math 11 or Applications of Math 12 or Foundations of Math 12 with a minimum C grade | ||
| An introduction to the language of statistics and some statistical methods, including random variables and their distribution; random sampling, normal distribution, estimation of parameters and testing hypotheses. | ||
| Note: No duplicate credit for MATH 101/204. | ||
| MATH 102 | Statistical Methods | |
| 3.00 credits | (4,0,0) hrs | 15 wks |
| Prerequisite: MATH 101 with a minimum C- grade | ||
| A study of important statistical methods commonly used in the analysis of research data, including t-tests and their non-parametric competitors, one and two-way analysis of variance, chi-square tests and regression analysis. | ||
| Note: MATH 102 will be offered in the Spring term when sufficient student demand is evident. | ||
| MATH 105 | Precalculus Mathematics | |
| 3.00 credits | (4,0,0) hrs | 15 wks |
| Prerequisite: Math Placement Test (MPT); or Principles of Math 11 or Pre-calculus 11 with a minimum A grade; or Principles of Math 12 or Pre-calculus 12 with a minimum C grade; or MATH 096 with a minimum C- grade; or BMTH 044 with a minimum B grade | ||
| This is a functions course. Topics include: graphs, properties of functions, mathematical models, trigonometry, logarithms and exponential functions. Primarily for students who anticipate taking calculus or who require a Principles of Math 12 or Pre-calculus 12 equivalent course. | ||
| Note: No duplicate credit for MATH 105/107. | ||
| MATH 107 | Precalculus for Business and Social Sciences | |
| 3.00 credits | (4,0,0) hrs | 15 wks |
| Prerequisite: Math Placement Test (MPT); or Principles of Math 12 with a minimum C grade; or MATH 096 with a minimum C- grade; or BMTH 044 with a minimum B grade | ||
| This is a functions course. Topics include: graphs, properties of functions, mathematical models, trigonometry, logarithms and exponential functions. The mathematical models/applications in this course will be mainly business/finance oriented. Primarily for students who anticipate taking business calculus courses or who require a Principles of Math 12 equivalent course. | ||
| Note: No duplicate credit for MATH 105/107. | ||
| MATH 108 | Calculus I for Business and Social Sciences | |
| 3.00 credits | (4,0,0) hrs | 15 wks |
| Prerequisite: Math Placement Test (MPT); or Principles of Math 12 or Pre-calculus 12 with a minimum B grade; or MATH 105 with a minimum C- grade; or BMTH 054 with a minimum C+ grade | ||
| An introduction to the mathematics of change. Concepts of differential calculus are explored with an emphasis on applications to business and social science using a technology-based modeling approach. Topics include limits, continuity, the derivative, rules of differentiation, implicit differentiation, applications of differentiation. | ||
| Note: No duplicate credit for MATH 108/116. | ||
| MATH 109 | Calculus II for Business and Social Sciences | |
| 3.00 credits | (4,0,0) hrs | 15 wks |
| Prerequisite: MATH 108 or 116 with a minimum C- grade | ||
| With an emphasis on applications to business and social science, this course explores topics in single variable integral calculus, multivariable calculus and differential equations. Topics include the definite integral and applications, integration techniques, multivariable functions, partial derivatives, extrema, Lagrange multipliers, some techniques for solving differential equations. | ||
| Note: No duplicate credit for MATH 109/126. | ||
| MATH 116 | Calculus I | |
| 3.00 credits | (4,0,0) hrs | 15 wks |
| Prerequisite: Math Placement Test (MPT); or Principles of Math 12 or Pre-calculus 12 with an A grade; or Principles of Math 12 or Pre-calculus 12 and Calculus 12 with a minimum B grade in each; or MATH 105 with a minimum C- grade; or BMTH 054 with a minimum B grade | ||
| Course content: Limits, continuity, the derivative, rules of differentiation, implicit differentiation, parametric curves, related rates, curve sketching, optimization, linear approximations, transcendental functions, indeterminate forms, anti-differentiation. Throughout the course a strong emphasis is placed on the geometric interpretation of the concepts of calculus. | ||
| Note: No duplicate credit for MATH 108/116. | ||
| MATH 124 | Discrete Mathematics I | |
| 3.00 credits | (4,0,0) hrs | 15 wks |
| Prerequisite: MATH 116 with a minimum C- grade; or MATH 105 with a minimum B grade; or Principles of Math 12 or Pre-calculus 12 with a minimum B grade; or BMTH 054 with a minimum A grade; or Math Placement Test (MPT) | ||
| A survey of fundamental topics in discrete mathematics including: mathematical proofs using direct arguments, indirect arguments, and induction; the algebra of sets; combinatorics; functions and relations; and graph theory. This course stresses the special role of discrete mathematics in Computing Science. | ||
| MATH 126 | Calculus II | |
| 3.00 credits | (4,0,0) hrs | 15 wks |
| Prerequisite: MATH 116 with a minimum C- grade | ||
| A study of the anti-derivative, the integral, techniques of integration, applications of the integral, differential equations, sequences, infinite series and Taylor's Theorem. Continued emphasis on the geometric interpretation of the concepts of calculus. | ||
| Note: No duplicate credit for MATH 109/126. | ||
| MATH 152 | Linear Algebra and Differential Equations | |
| 3.00 credits | (4,0,0) hrs | 15 wks |
| Prerequisite: MATH 126 is a prerequisite or a co-requisiste | ||
| An introduction to lines and planes, systems of linear equations and matrices, vector spaces and linear transformations, determinants, eigenvalues and eigenvectors, diagonalization. The theory will be applied to first order linear differential equations, first order linear systems and engineering topics. | ||
| Note: This course is intended for students in the Engineering Program. | ||
| Note: No duplicate credit for MATH 152/200. | ||
| MATH 190 | Mathematics for Elementary Teachers | |
| 3.00 credits | (4,0,0) hrs | 15 wks |
| Prerequisite: Math Placement Test (MPT); or MATH 091 or BMTH 043 with a minimum B grade; or MATH 096 with a minimum C- grade; or BMTH 044 with a minimum C+ grade; or Principles of Math 11 or Pre-calculus 11 or Foundations of Math 11 or Applications of Math 12 or Foundations of Math 12 with a minimum C grade | ||
| A study of selected topics in mathematics designed to give future elementary teachers an appreciation of the power, beauty and importance of mathematics. Topics studied include problem solving, number systems, geometry and statistics. This course does not normally count for credit in science programs. It is intended for students who plan on entering an education program for elementary school teachers. | ||
| Note: Students who have taken, received transfer credit for, or are currently taking Math 108 or Math 116 may not take Math 190 for credit without the permission of the Department of Mathematics and Statistics. | ||
| Note: This course requires preparation for, and participation in, a SNAP Math Fair to be held at the University outside of regularly scheduled class time. Attendance at the Math Fair is mandatory. | ||
| MATH 200 | Linear Algebra | |
| 3.00 credits | (4,0,0) hrs | 15 wks |
| Prerequisite: MATH 126 | ||
| An introduction to lines and planes, systems of linear equations and matrices, vector spaces and linear transformations, determinants, eigenvalues and eigenvectors, orthogonality and diagonalization. Theorems and proofs are an important component of the course. | ||
| Note: No duplicate credit for MATH 152/200. | ||
| MATH 204 | Probability and Statistics for Applications | |
| 3.00 credits | (4,0,0) hrs | 15 wks |
| Prerequisite: MATH 108 or 116 with a minimum C- grade | ||
| An introduction to inferential statistical methods. Confidence intervals, t-tests, chi-square tests, correlation and regression. The emphasis will be on problem formulation, models, assumptions and interpretation. Regularly scheduled labs will introduce course participants to appropriate supporting statistical software. | ||
| Note: No duplicate credit for MATH 101/204. | ||
| Note: MATH 204 to be offered in the fall or spring term when sufficient student demand is evident. | ||
| MATH 205 | Introduction to Probability and Statistics | |
| 3.00 credits | (4,0,0) hrs | 15 wks |
| Prerequisite: MATH 126 with a minimum C- grade | ||
| A calculus-based study of probability, discrete and continuous random variables, mathematical expectation, moment generating functions, Central Limit Theorem, sampling from normal populations, confidence intervals, hypothesis testing. | ||
| MATH 215 | Introduction to Analysis | |
| 3.00 credits | (4,0,0) hrs | 15 wks |
| Prerequisite: MATH 126 with a minimum C+ grade | ||
| A course for students who plan to proceed in mathematics. Logic, sets, functions, limits of sequences and series; introduction to continuity, the derivative, Riemann Integral. | ||
| Note: MATH 215 to be offered in the fall or spring term when sufficient student demand is evident. | ||
| MATH 224 | Discrete Mathematics II | |
| 3.00 credits | (4,0,0) hrs | 15 wks |
| Prerequisite: MATH 124 with a minimum C- grade | ||
| A continuation of the study of discrete mathematics from MATH 124. The emphasis is on combinatorial analysis, including generating functions, set theory and graph theory, with applications to Computing Science including representations, algorithms, and complexity. | ||
| Note: MATH 224 to be offered in the fall or spring term when sufficient student demand is evident. | ||
| MATH 230 | Calculus III | |
| 3.00 credits | (4,0,0) hrs | 15 wks |
| Prerequisite: MATH 126 with a minimum C- grade | ||
| Analytical geometry of three dimensions; partial differentiation, applications; double and triple integrals; transformations to various coordinate systems. | ||
| MATH 231 | Calculus IV | |
| 3.00 credits | (4,0,0) hrs | 15 wks |
| Prerequisite: MATH 230 and MATH 152 or 200 with a minimum C- grade | ||
| Vector calculus; line and surface integrals; Green's Theorem; vector fields; divergence theorem; Stokes's Theorem; applications. | ||
| Note: MATH 231 to be offered in the spring term when sufficient student demand is evident. | ||
| MATH 235 | Introduction to Differential Equations | |
| 3.00 credits | (4,0,0) hrs | 15 wks |
| Prerequisite: MATH 126 with a minimum C- grade and MATH 152 or MATH 200 with a minimum C- grade | ||
| An introduction to ordinary differential equations; first order equations; higher order linear differential equations; linear systems; power series techniques; Laplace transform method; the phase plane, applications. | ||
| MATH 300 | Mathematics and Creative Arts | |
| 3.00 credits | (4,0,0) hrs | 15 wks |
| Prerequisite: 45 lower level credits | ||
| Mathematics has been used as a tool and as inspiration in the creation of works of music, literature and visual art and can be used in the analysis of these works. Through presentation of the math and examination of case studies, this course uncovers the math both in the forefront and behind the art. Mathematical proofs will also be developed that portray mathematics as a creative art in its own right. | ||
| MATH 335 | Discovering Mathematics | |
| 3.00 credits | (4,0,0) hrs | 15 wks |
| Prerequisite: 45 lower level credits | ||
| This course is an introduction to the beauty and power of mathematics. Using basic strategies of thought and investigation, the student will explore some interesting and sophisticated ideas in mathematics, including those of numbers, infinity, geometry and fractals. | ||