Keith Coates

Chair of Mathematics & Computer Science

Associate Professor of Mathematics

Office: (417) 873-7380

kcoates@drury.edu

**100 Level Courses:**

MATH 100: Intermediate Algebra

MATH 101: Fundamental Mathematical Concepts I

MATH 102: Fundamental Mathematical Concepts II

MATH 109: College Algebra

MATH 110: Trigonometry

MATH 141: Applied Logic

**200 Level Courses:**

MATH 205: Mathematical Connections

MATH 211: Precalculus

MATH 227: Introduction to Statistics

MATH 228: Applied Statistics in Exercise and Sport Science

MATH 230: Business Calculus

MATH 231: Calculus I

MATH 232: Calculus II

MATH 233: Calculus III

MATH 234: Introduction to Mathematical Proof

MATH 235: Linear Algebra

MATH 236: Honors Calculus I

MATH 241: Discrete Mathematics

MATH 290: Selected Topics

MATH 291, 292: Research

**300 Level Courses:**

MATH 301: Abstract Algebra

MATH 326: Probability Theory

MATH 327: Mathematical Statistics

MATH 330: Geometry

MATH 340: Numerical Analysis

MATH 366: Differential Equations

MATH 390: Selected Topics

MATH 391, 392: Research

**400 Level Courses:**

MATH 421: Real Variables

MATH 432: Complex Variables

MATH 440: Topology

MATH 490: Selected Topics

MATH 491, 492: Research

MATH 493: Senior Seminar

MATH 494: Senior Seminar for Secondary Education Math Majors

**MATH 100: Intermediate Algebra. 3 hours. **

*Prerequisite: Prealgebra or beginning algebra in high school or college. *

The traditional topics of intermediate algebra through quadratic equations and functions.

**MATH 101: Fundamental Mathematical Concepts I. 3 hours. **

Development of the number systems — whole numbers through real numbers. Problem solving strategies, functions, elementary logic and set theory are included.

**MATH 102: Fundamental Mathematical Concepts II. 3 hours. **

An introduction to geometric concepts, measurement, probability, statistics and basic computer concepts.

**MATH 109: College Algebra. 3 hours. **

**MATH 110: Trigonometry. 3 hours. **

The study of trigonometric, logarithmic and exponential functions and their applications.

**MATH 141. Applied Logic. 1 hour.**

This course is designed to help students learn to apply the tools of logic to concrete situations, such as those posed on LSAT and GMAT tests. The course will include a discussion of propositional logic, propositional equivalences, rules of inference and common fallacies. Students are strongly encouraged to take PHIL 100 Introduction to Logic and Critical Thinking either prior to or concurrently with this course.

**MATH 205 Mathematical Connections. 3 hours. **

*Prerequisite: At least two years of high school algebra. * A quantitative reasoning course for students in the liberal arts, focusing on applications of mathematics to social issues in our world. Contains the study of providing urban services, making social choices, constructing fair voting systems, and planning the fair division of resources.

**MATH 211 Precalculus. 3 hours. **

*Prerequisite: High-school level algebra skills and/or successful completion of College Algebra are required.*

This course is designed to prepare students for Calculus I. It covers a variety of topics from algebra, with emphasis on the development of rational, exponential, logarithmic and trigonometric functions including their essential properties, graphs and basic applications. Additional topics range from linear systems to conic sections.

**MATH 227: Introduction to Statistics. 3 hours. **

A course to acquaint the student with the basic ideas and language of statistics including such topics such as descriptive statistics, correlation and regression, basic experimental design, elementary probability, binomial and normal distributions, estimation and test of hypotheses, and analysis of variance.

**MATH 228: Applied Statistics in Exercise and Sport Science. 3 hours. **

The course contains the mathematical basis for statistics including descriptive measures, probability and hypothesis testing. Some applications in exercise science will include tests, ANOVA, correlation and regression.

**MATH 230: Business Calculus. 3 hours. **

*Prerequisite: Two years of high school algebra. *

Topics from differential and integral calculus with an emphasis on business applications. *This class cannot be used as a prerequisite for MATH 232. *

**MATH 231: Calculus I. 4 hours.**

*Prerequisite: Two years of high school algebra and one semester of high school trigonometry. *

A study of the fundamental principles of analytic geometry and calculus with an emphasis on differentiation.

**MATH 232: Calculus II. 4 hours. **

Continuation of Calculus I including techniques of integration and infinite series.

**MATH 233: Calculus III. 4 hours. **

Functions of two variables, partial differentiation, applications of multiple integrals to areas and volumes, line and surface integrals, and vectors.

**MATH 234: Introduction to Mathematical Proof. 3 hours. **

A careful introduction to the process of constructing mathematical arguments, covering the basic ideas of logic, sets, functions and relations. A substantial amount of time will be devoted to looking at important forms of mathematical argument such as direct proof, proof by contradiction, proof by contrapositive and proof by cases. Applications from set theory, abstract algebra or analysis may be covered at the discretion of the instructor.

**MATH 235: Linear Algebra. 3 hours.**

*Prerequisite: MATH 232.*

Study of linear transformations, matrices and vector spaces.

**MATH 236 Honors Calculus I. 4 hours.**

This course is an introduction to single variable calculus with an emphasis on differential calculus. We will cover limits, derivatives, and applications, with an emphasis on both calculational techniques and their theoretical underpinnings. The course will conclude with an exploration of the Riemann sum definition of the definite integral.

**MATH 241: Discrete Mathematics. 3 hours.**

*Prerequisite: MATH 211 or MATH 231. *This course includes propositional logic, induction and recursion, number theory, set theory, relations and functions, graphs and trees, and permutations and combinations.

**MATH 301: Abstract Algebra. 3 hours.**

*Prerequisite: MATH 234 or MATH 241 and CSCI 262, MATH 235.*

The elementary properties of groups, rings and fields are developed.

**MATH 326: Probability Theory. 3 hours. **

This course includes an introduction to probability theory, discrete and continuous random variables, mathematical expectation and multivariate distributions.

**MATH 327: Mathematical Statistics. 3 hours. **

**MATH 330: Geometry. 3 hours. **

Foundations of Euclidian geometry from the axioms of Hilbert and an introduction to non-Euclidian geometry.

**MATH 340: Numerical Analysis. 3 hours. **

Numerical solutions to mathematical problems are studied. Topics include approximating solutions to equations, interpolation, numerical differentiation and integrating, and numerical linear algebra. S

**MATH 366: Differential Equations. 3 hours. **

**MATH 421: Real Variables. 3 hours. **

Real number system, set theory, continuity and differentiability.

**MATH 432: Complex Variables. 3 hours. **

**MATH 440: Topology. 3 hours. **

An introduction to point-set topology. Metric spaces, connectedness, completeness and compactness are some of the topics discussed.

**MATH 493: Senior Seminar. 3 hours. **Modern topics in mathematics are discussed in a seminar setting. Students integrate their study of mathematics throughout their undergraduate years and explore the connections among mathematics and other courses they have pursued. Departmental assessment of the major is included.

**MATH 494: Senior Seminar for Secondary Education Math Majors. 3 hours. **The history and philosophy of mathematics are discussed in a seminar setting. All students in this course must complete a project wherein familiar questions asked by high school math students are examined and answered in depth. Also, students are required to read and make a presentation on an article from an approved mathematics education journal. Department assessment of the major is included.

**MATH 290, 390, 490: Selected Topics. 1-3 hours.**

**MATH 291, 292, 391, 392, 491, 492: Research.**