Department of Mathematics

Dr. John E. Hammett III, Chairperson

The Department of Mathematics offers a major and a minor in Mathematics. Students must maintain an average of at least 2.0 in all mathematics courses counted towards the major in order to graduate as mathematics majors.

Requirements for Mathematics Major

Degree of Bachelor of Science

Eight of the required credits for the major count towards the Core Curriculum Requirements.

 MA-143 Differential Calculus 1 4 MA-144 Integral Calculus 1 4 MA-246 Discrete Mathematics 3 MA-247 Introductory Linear Algebra 3 MA-248 Math Tech Lab 1 MA-273 Multivariable Calculus I 1 4 MA-274 Multivariable Calculus II 1 4 MA-335 Probability Theory 3 MA-375 Advanced Calculus 3 or MA-377 Ordinary Differential Equation MA-382 Mathematical Modeling 3 or MA-385 Topics in Applied Mathematics MA-441 Modern Algebra 3 MA-490 Senior Seminar in Mathematics (Capstone) 3 MA Three Mathematics Electives (MA-335 or higher) 9 Total Credits 47

Requirements for a Minor in Mathematics

 Select one of the following calculus sequences: 6-8 Elementary Calculus Iand Elementary Calculus II Statistics for Life Sciencesand Calculus for the Life Sciences Differential Calculusand Integral Calculus Multivariable Calculus Iand Multivariable Calculus II Select 4 MA-courses, 200-level or above 12 Total Credits 18-20

Courses

MA-001. Introductory Algebra. 3 Credits.

Real numbers, variable expressions, solving equations, linear equations in two variables, systems of linear equations, inequalities. This is a preparation course for MA-102, MA-105, MA-106, and MA-101.

MA-101. Precalculus. 3 Credits.

Brief review of basic algebraic concepts; functions (general concepts, linear, quadratic); polynomial and rational functions; exponential and logarithmic functions; summary of trigonometric functions; application problems.

MA-102. Mathematics for the Humanities I. 3 Credits.

Symbolic logic, number theory, functions, and other topics selected by the instructor.

MA-103. Mathematics for the Humanities II. 3 Credits.

Set theory, combinatorics, finite probability, conditional probability, and topology. Prerequisites: MA-102.

MA-105. Elementary Applied Mathematics. 3 Credits.

Introduction to ways in which everyday situations can be modeled and studied mathematically: networks, voting, coding, and finance.

MA-106. Introduction to Probability and Statistics. 3 Credits.

Describing data collections using measures (e.g., center and spread) and graphical representations (e.g., histograms and plots), estimating probabilities for discrete and continuous distributions, and making statistical inferences using selected approaches (e.g., confidence intervals, hypothesis testing, linear regression analysis).

MA-108. Mathematics for Educators I. 3 Credits.

In-depth study of the concepts that underlie the mathematics of the elementary school curriculum in the United States. Topics include set theory, numeration, mathematical thinking, number theory, and the four basic operations of mathematics. This course is intended for individuals who expect to teach in primary school.

MA-109. Mathematics for Educators II. 3 Credits.

This course is a continuation of MA-108. Topics in the second semester include the real number system, proportional reasoning, statistics, probability, and measurement systems. This course is intended for individuals who expect to teach in primary school. Prerequisites: MA-108.

MA-115. Mathematics for the Health Sciences. 3 Credits.

This course is designed for students in nursing, pre-health and allied-health fields so that they can master skills of basic math, use of measurement systems, and strategies of problem solving needed in the health-science courses. The Metric System of Measurement; Apothecaries' and Household Systems of Measurement; Calculations needed to determine dosages; Construction and Reading of Graphs; Introduction to Statistics including measures of central tendency and measures of dispersion.

MA-123. Elementary Calculus I. 3 Credits.

Differential calculus of polynomial and rational functions; applications of calculus to problems in business and economics.

MA-124. Elementary Calculus II. 3 Credits.

Exponential and logarithmic functions, integral calculus, differential equations applications to problems in business and economics. Prerequisites: MA-123.

MA-125. Intermediate Calculus. 2 Credits.

This course is intended for students (e.g., computer science majors) who have completed 6 credits of calculus and who now wish to take Multivariable Calculus. Prerequisites: MA-124.

MA-132. Statistics for Life Sciences. 3 Credits.

Basic methods of data analysis. Topics include displaying data graphically; measures of central tendency and variability; probability concepts; normal, t, chi-square, and F distributions; confidence intervals and estimation; hypothesis testing; regression and correlation analysis; analysis of variance; contingency tables; use of statistical software. Biological applications are emphasized.

MA-133. Calculus for the Life Sciences. 4 Credits.

Polynomial, rational, and trigonometric functions; limits, continuity, derivatives; graphs, maximum-minimum problems; exponential and logarithmic functions, growth and decay problems integrals, basic integration techniques, applications of the integral. Biological applications are emphasized.

MA-143. Differential Calculus. 4 Credits.

Limits and continuity; the derivative; chain rule and differentiation of algebraic functions; extrema; applications; the Mean Value Theorem.

MA-144. Integral Calculus. 4 Credits.

The definite integral and the Fundamental Theorem of the Calculus applications transcendental functions methods of integration. Prerequisites: MA-143.

MA-212. Elementary Statistics. 3 Credits.

Descriptive statistics, laws of probability, some standard probability functions, central limit theorem, confidence intervals, hypothesis testing. Prerequisites: MA-106 OR MA-115 OR MA-124 OR MA-133 OR MA-144 OR MA-273 OR INSTRUCTOR PERMISSION.

MA-214. Mathematics of Finance. 3 Credits.

Interest, partial payment, ordinary annuities, depreciation, amortization, sinking funds bonds, deferred annuities, perpetuities probability, mortality tables, life annuities, life insurance. Prerequisites: MA-106 OR MA-132 OR MA-212 OR MA-124 OR MA-133 OR MA-144 OR MA-273 OR INSTRUCTOR PERMISSION.

MA-216. Computer Mathematics. 3 Credits.

Number systems, internal representation, errors logic, Boolean algebra, circuits algorithms, efficiency counting, probability. Prerequisites: MA-106(9414)OR MA-132 OR MA-212 OR MA-124 OR MA-133 OR MA-144 OR MA-273 AND CS-180.

MA-218. Quantitative Methods for Business. 3 Credits.

Decision theory, trees, linear programming, simplex method, sensitivity analysis inventory theory, CPM, PERT. Prerequisites: MA-106(9414)OR MA-132 OR MA-212 OR MA-124 OR MA-133 OR MA-144 OR MA-273 OR INSTRUCTOR PERMISSION.

MA-222. Intermediate Statistics. 3 Credits.

This course extends the statistical data analysis introduced in MA-212. Students will explore additional topics in parametric and non-parametric methods, including analysis of variance (ANOVA) and multiple regression. Learner will also actively design statistical experiments and interpret data sets. Students will use statistical software and computer programming as tools to assist with data analysis. Prerequisites: MA-212 OR MA-132 OR PERMISSION OF INSTRUCTOR.

MA-246. Discrete Mathematics. 3 Credits.

A study of the variety of finite mathematical structures and their applications. Logic and proofs, Boolean algebras and combinatorial circuits sets, relations, equivalence relations, and recurrence relations graphs, trees. Prerequisites: MA-144 OR MA-125.

MA-247. Introductory Linear Algebra. 3 Credits.

Matrix calculus vector spaces linear independence and bases linear transformations on vector spaces eigenvalues and eigenvectors. Prerequisites: MA-144 OR MA-125.

MA-248. Math Tech Lab. 1 Credit.

Software for numerical and symbolic computations (such as MatLab and Mathematica), and mathematical typesetting (such as TeX) Prerequisites: MA-144 OR MA-125 OR INSTRUCTOR PERMISSION.

MA-273. Multivariable Calculus I. 4 Credits.

Integration techniques, 2-and-3 dimensional vector geometry functions of several variables, limits, directional derivatives, partial differentiation, extrema double and Triple integrals. Prerequisites: MA-144 OR MA-125.

MA-274. Multivariable Calculus II. 4 Credits.

Limits and L'Hospital's Rule, improper integrals, infinite sequences and series power series, Taylor series, selected topics in multivariable calculus. Prerequisites: MA-273.

MA-302. Elementary Math Functions for Middle School. 3 Credits.

Functions and equations, arithmetic and geometric sequences, mathematical methods, linear functions, difference equations, quadratic and cubic functions, exponential and logarithmic functions, domain and range, fitting a line to data and modeling, and associated mathematical processes. Methods for learning and teaching the topics are addressed concurrently with the content.

MA-304. Statistics, Probability and Discrete Math for Middle School. 3 Credits.

Topics include collecting, summarizing, and interpreting data, sampling techniques, fundamental concepts of probability, counting techniques, Euler and Hamiltonian circuits, shortest distance algorithms, and associated mathematical processes. Methods for learning and teaching the topics are addressed concurrently with the content.

MA-306. Geometry for Middle School. 3 Credits.

Metric and US standard measurement, inductive and deductive reasoning, Euclidean geometry of two and three-dimensional figures including, but not limited to: area, perimeter, volume, surface area, congruency, similarity, rotation and transformation. Coordinate geometry, iteration and fractals, geometry in the world around us, and associated mathematical processes. Methods for learning and teaching the topics are addressed concurrently with the content.

MA-335. Probability Theory. 3 Credits.

Probability spaces, random variables, expectation, variance, standard deviation, binomial, multinomial, and Poisson distributions approximations by the normal distribution, Chebyshev's Inequality. Prerequisites: MA-273.

MA-336. Mathematical Statistics. 3 Credits.

Law of large numbers, Central Limit Theorem, estimation of parameters, confidence intervals, test of hypotheses, sampling, regression, analysis of variance. Prerequisites: MA-273 TAKING MA-335 AS A PRE-REQUISITE IS RECOMMENDED, THOUGH NOT REQUIRED.

MA-350. College Geometry. 3 Credits.

Study of Euclidean and other geometries from an axiomatic point of view. Prerequisites: MA-246.

Real numbers, sequences, limits of sequences and functions, continuity, differentiation, theory of integration, pointwise and uniform convergence. Prerequisites: MA-274.

MA-377. Ordinary Differential Equation. 3 Credits.

Existence and uniqueness of solutions, first and second order equations, systems of linear differential equations, solutions in power series applications. Prerequisites: MA-247 AND MA-274.

MA-379. Differential Equations for Engineers. 4 Credits.

This Course is an Expanded Version of MA-377 and includes the following additional topics: The Laplace Transform, Partial Differential Equations and Fourier Series. Prerequisites: MA-274 AND MA-247.

MA-382. Mathematical Modeling. 3 Credits.

The nature and philosophy of model building algebraic and analytic models in the social, physical, and life sciences. Prerequisites: MA-273 AND MA-247.

MA-385. Topics in Applied Mathematics. 3 Credits.

Topics vary by term. Prerequisites: MA-273 AND MA-247.

MA-387. Topics in Mathematics. 3 Credits.

Topics vary by term. Prerequisites: MA-273 AND MA-247.

MA-389. Topics in Statistics. 3 Credits.

Topics vary by term. Prerequisites: MA-336 OR PERMISSION OF INSTRUCTOR.

MA-399. Tutorial. 3 Credits.

MA-441. Modern Algebra. 3 Credits.

Introduction to modern algebraic concepts theory of groups, rings, and fields. Prerequisites: MA-246 MA-247 SENIOR MATH MAJORS OR PERMISSION OF INSTRUCTOR. INSTRUCTOR CONSENT REQUIRED.

MA-481. Numerical Analysis. 3 Credits.

Use of the computer to solve numerical problems. Error analysis solutions of equations linear systems interpolation approximation integration. Prerequisites: MA-273 MA-247 CS-180.

MA-490. Senior Seminar in Mathematics. 3 Credits.

In this capstone course, graduating senior Mathematics majors will explore areas of mathematics that draw on many of the previous courses, emphasizing the connection between different areas of mathematics. This culminating academic experience for the major will include writing, presentations, and contemporary mathematics research. Prerequisites: MA-441 SENIOR MATHEMATICS MAJORS ONLY.