Mercer University Department
              ofMathematics

§Courses§

Either MAT 095 or a satisfactory score on the mathematics placement exam is prerequisite to all other mathematics courses except MAT 104.

The Department offers both Bachelor of Arts and Bachelor of Science degrees in mathematics, as well as a mathematics minor.

MAT 095.Intermediate Algebra

An introductory course in algebra which includes the study of the fundamental algebraic operations, factoring, algebraic fractions, equations and inequalities, exponents and radicals. (Does not count toward hours required for graduation.)

MAT 104. Introduction to Finite Mathematics

An introduction to mathematical ideas that teaches rigorous, precise, effective thinking. Topics will include classical proofs (e.g., Infinitude of Primes, Pythagorean Theorem, Platonic Solids), real world manifestations (e.g., basic probability, codes, Fibonacci numbers, risk), abstractions (e.g., infinite sets, fourth dimension, graph theory, knots), and patterns (e.g., symmetry, fractals).

MAT 121. Concepts in Calculus

Prerequisite: MAT 095 or its equivalent.

The course emphasizes the concepts in differential and integral calculus and applications of those concepts. The material is made accessible to students with a limited mathematical background by restricting attention to a simple class of functions - polynomial functions in most cases and rational functions where appropriate.

MAT 131. College Algebra: Functions and Graphs

Prerequisite: MAT 095 or equivalent.

Topics include graphs and functions (linear, quadratic, polynomial, rational, exponential, and logarithmic).

MAT 133. Precalculus

Prerequisite: MAT 095 or equivalent.

Topics include graphs, functions (linear, quadratic, polynomial, rational, exponential, logarithmic, trigonometric, and inverse trigonometric), and trigonometric identities. (4 credit hours)

MAT 141. Calculus for the Social Sciences

Prerequisite: MAT 131, 133, or equivalent.

Students who have not completed MAT 133 and who plan to register for this course should take the mathematics placement exam. A high score on this exam will meet the prerequisite for the course. A study of the derivative of algebraic, exponential, and logarithmic functions and an introduction to integration. Business applications are stressed. Both MAT 141 and 191 can be taken, but credit will be granted for only one, which is to be determined by written permission from the Mathematics Department. Students who plan to major in mathematics, chemistry, computer science, or physics should take MAT 191.

MAT 191. Calculus I

Prerequisites: MAT 133 or equivalent.

Students who have not completed MAT 133 and who plan to register for this course should take the mathematics placement exam. A high score on the exam will meet the prerequisite for the course. Topics include: A study of functions involving limits, continuity, derivatives, and antiderivatives; the definite integral and Fundamental Theorem of Calculus. Both MAT 141 and 191 can be taken, but credit will be granted for only one, which is to be determined by written permission from the Mathematics Department.

MAT 192. Calculus II

Prerequisites: MAT 191 or consent of the instructor.

Topics include: Methods of numerical integration, applications of the definite integral, techniques of antidifferentiation, improper integrals, infinite series, differential equations, and polar coordinates.

MAT 198. Special Introductory Topics in Mathematics

Study of an introductory topic in Mathematics not covered in any of the departmental offerings. This course may be applied to the Mathematics major or minor. (4 credit hours)

MAT 225. Topics in Discrete Mathematics

Prerequisite: MAT 191.

Topics include sets, functions, Boolean algebra, elementary graph theory, techniques of counting, and methods of proof (including induction and contradiction). (4 credit hours)

260. Introduction to Abstract Mathematics

Prerequisite: MAT 192.

A course designed to facilitate the transition to mathematics courses in which the student is expected to prove theorems. Topics include sets, logic, methods of proof, relations, and number systems.

293. Multivariable Calculus

Prerequisite: MAT 192.

Topics include vector calculus; limits and continuity of functions of several variables; partial derivatives and applications; multiple integrals and applications.

320. Introduction to Probability and Mathematical Statistics

Prerequisite: MAT 192.

A study of sample spaces, conditional probability and independent events; random variables and their distributions both discrete and absolutely continuous; expected value; variance, and regression; Law of Large Numbers and Central Limit Theorem; sampling; estimation; testing of hypotheses. Credit for MAT 226 will not be granted after credit has been earned in MAT 320.

330. Introduction to Differential Equations

Prerequisite: MAT 192

A study of ordinary differential equations using qualitative, numerical and analytic approaches. Topics include first order differential equations, second order linear differential equations, systems of equations, Laplace transformations and applications.

335. Numerical Methods

(Same as CSC 335)

Prerequisites: MAT 192 and Ability to write programs in a high level language.

A study of numerical methods for the solution of mathematical problems and computer application of those methods. Topics will include: methods such as the bisection algorithm and fixed point iteration for the solution of equations with a single variable, interpolation and polynomial approximation, numerical differentiation and integration, solution of systems of linear equations, and least squares approximation.

340. Linear Algebra

Prerequisites: MAT 192 and MAT 260 or consent of instructor.

An introduction to the algebraic structure of vector spaces; the theory of matrices; the application of matrices to the study of vector spaces; systems of linear equations and linear transformations.

345. Applied Mathematical Modeling

Prerequisites: MAT 192 and MAT 260 or consent of instructor.

This course focuses on mathematical modeling of phenomena from biology, chemistry, engineering, medicine, and physics. Students learn the tools and techniques of modeling using differential equations, matrix algebra, and statistics and learn to formulate a variety of models. Students engage cooperatively and individually in the formulation of mathematical models and in the techniques of investigating those models. Several major projects throughout the semester give the students experience in applying the tools and formulation of models. Class sessions consist of lectures and hands-on experimentation with projects using several computational tools.

350. College Geometry

Prerequisite: MAT 340.

A rigorous study of the properties of Euclidean geometry, with special attention to incidence and metric properties, and introduction to elementary properties of non-Euclidean geometries. Offered alternate years.

390. Topics in Mathematics (Subtitle)

Credit will be by arrangement.

A student may receive hours awarded as one, two, or three, and no more than three hours per course will be awarded, and total hours given will not exceed six. When credit in the proposed course is given, the topic studied will be stated as a subtitle.

398. Internship in Mathematics (Subtitle)

Credit will be by arrangement.

Prerequisites: junior or senior status.

A student may receive hours awarded as one, two, or three, and no more than three hours per course will be awarded, and total hours given will not exceed six. When credit in the proposed course is given, the topic studied will be stated as a subtitle.

401. Directed Independent Study

Prerequisite: Consent of instructor.

This course is intended to provide the student with the opportunity to study independently in an area of interest. Arrangement with the chair and the instructor is required.

402. Directed Independent Research

Prerequisite: Consent of instructor.

This course is intended to provide the student with the opportunity to do supervised research in an area of interest.

A student may receive hours awarded as one, two, or three, and no more than three hours per course will be awarded, and total hours given will not exceed six.

461-462. Abstract Algebra I and II

Prerequisite: MAT 340.

A study of groups, rings, and fields. Topics will include homomorphisms of groups and rings, quotient structures, polynomial rings, and extension fields.

481-482. Real Analysis I and II

Prerequisites: MAT 293 and 340.

A rigorous introduction to the system of real numbers; a study of the consequences of continuity, differentiability, integrability, and the elementary topology of the real numbers. Offered alternate years.

499. Senior Seminar in Mathematics

Prerequisites: Consent of the Instructor

A course designed to help students take a broad view of their mathematics education and to synthesize the disparate components of this education. Students will be expected to organize and deliver a mathematical presentation.

STA 126. Introductory Statistics

Introductory statistics including the collection of data, descriptive statistics, probability, and inference. Topics include sampling methods, experiments, numerical and graphical descriptive methods, correlation and regression, contingency tables, probability concepts and dis- tributions, confidence intervals, and hypothesis testing for means and proportions.

STA 198. Special Introductory Topics in Statistics

Study of an introductory topic in Statistics not covered in any of the departmental offerings. This course may be applied to the Statistics minor.

STA 227. Statistical Methods

Prerequisite: STA 227

Statistical distributions; one- and two-population tests about means, including t-tests and paired-difference tests; one- and two-population tests about the variance; contingency tables and goodness-of-fit tests; non-parametric tests; analysis of variance and simple experimental designs; linear regression and residual diagnostics

STA 330. Applied Experimental Design

Prerequisite: STA 227

Constructing and analyzing statistical experimental designs; blocking, randomization, replication and interaction; complete and incomplete block designs; factorial experiments; repeated measures; confounding effects.

STA 340. Applied Regression Analysis

Prerequisite: STA 227

Applied methods in regression analysis. Topics include univariate linear regression, techniques of multiple regression and model building, ANOVA as regression analysis, analysis of covariance, model selection and diagnostic checking techniques, nonlinear regression, and logistic regression.

STA 390. Topics in Statistics

An intensive study of some significant topic in statistics, not otherwise covered in departmental offerings. May be repeated once when a different topic is covered.