# MTH - Mathematics

## MTH 1000 College Math (Fall and Spring)

2 Credits

Students are placed in this course if they have a math SAT score of 480 or below. The course will address mathematic skills needed for elementary topics in algebra, basic statistics, and geometry. Emphasis will be placed on quantitative reasoning, problem solving, experiential learning and lab work.

This course is necessary for success in Algebraic Modeling, Statistics I, and Quantitative Literacy. In order to pass this course, the student must earn a raw score of 75% on their final exam, or they must take the course over again.

**Note**: Required with a score of 480 or below on the Math SAT

## MTH 1111 Quantitative Literacy (Fall and Spring)

4 Credits

**Prerequisite**: Passing grade in MTH 1000 College Math (80% or better) or a Math SAT score above 480

In this course, mathematics will become a part of a larger set of skills called quantitative literacy or numeracy. This course will emphasize critical thinking, problem formulation, and written and oral communication. The topics will prepare students for careers and lives that will be filled with quantitative information and decisions. Students will be expected to possess strong critical and logical thinking skills so they can navigate the media and be informed citizens, have a strong number sense and be proficient at estimation, unit conversions and the uses of percentages, possess the mathematical tools needed to make basic financial decisions, and understand exponential growth, which describes everything from population growth to inflation to tumor growth and drug delivery. Additional topics of study include areas such as risk analysis, voting, mathematics and the arts, and graph theory.

**Note**: A final grade of 80% or higher is required or student will repeat course before any other math course may be taken.

## MTH 1180 Algebraic Modeling (Fall)

4 Credits

**Prerequisite**: Passing grade in MTH 1000 or passing grade in departmental test or permission of Department Chair.

This course will cover linear, polynomial, and rational expressions and equations. More advanced topics will include functions, inequalities and linear programming, radical equations and rational exponents, quadratic equations and functions, and exponential and logarithmic functions. Emphasis will be on modeling real-life situations via traditional algebra.

**Note**: This course does not count towards the Mathematics Major.

## MTH 1250 Geometry (Spring)

4 Credits

**Prerequisite**: MTH 1111 with a final grade of 80% or higher or permission of Department Chair

This course emphasizes the development of logical thinking through the study of geometric propositions and problems. The course content includes the study of triangles, perpendicular and parallel lines, quadrilaterals, area, and the Pythagorean Theorem.

**Note:** Elective course/choice for Mathematics Majors

## MTH 1500 Statistics for the Social Sciences (Spring and Fall)

4 Credits

**Prerequisites**: MTH 1111 with a final grade of 80% or higher

This is a mathematics course strictly for non-mathematics and non-science majors. It will consist of a brief introduction to descriptive statistics concentrating on levels of measurement, measures of central tendency, and measures of variation. In addition it will discuss the construction and various uses for contingency tables. The remainder of the course will consist in inferential statistics with emphasis on 1- and 2- Sample z- and t- Tests, One-way Analysis of Variance, Chi-square tests, and the basics of correlation and regression.

## MTH 1501 Statistics I (Fall)

4 Credits

**Prerequisite**: MTH 1111 with a final grade of 80% or higher or permission of Department Chair

This course will consist of tables, chart s and graphs, measures of central tendency, counting and probability theory, discrete and continuous distributions, the standard normal curve and table, the Central Limit Theorem, sampling distributions, confidence intervals for means and proportions, and hypothesis testing for mean and proportions.

## MTH 1502 Statistics II (Spring)

4 Credits

**Prerequisite**: MTH1501

This course will cover sampling, confidence intervals, hypothesis testing for variance, correlation and regression analysis, Analysis of Variance (ANOVA), the chi-square distribution for variance, and non-parametric statistics.

## MTH 1505 SPSS Lab

1 Credits

The MTH1505 lab will focus on the relationship between the course material learned from a statistics class or specifically from MTH 1500 Statistics for the Social and Behavioral Sciences and the application of SPSS. The SPSS program will be taught during this lab as students are introduced to the SPSS package and gain working knowledge of the software. The output of the data will be interpreted by the students during the one-hour period for the lab. MTH 1505 is design to be taken concurrently with MTH 1500, or may be taken as a stand-alone one-credit course for students who have already taken a statistics class and have no working knowledge of SPSS.

## MTH 1600 Pre-Calculus

4 Credits

This course is an introduction to the basic principles of Pre-Calculus, including the study of functions, linear equations in more than two variables, and trigonometry. As time allows, additional topics may include sequences, series, and limits.

## MTH 2151 Calculus I (Fall)

4 Credits

**Prerequisite**: Placement by the Department or MTH 1600

This course is an introduction to the differentiation of functions of a single variable. Additional topics include limits, applications, integration and the Fundamental Theorem of Calculus.

## MTH 2152 Calculus II (Spring)

4 Credits

**Prerequisite**: MTH 2151

This course is an introduction to the integration of functions of a single variable. Topics include definite integrals, transcendental functions (including exponential and logarithmic functions) applications (including areas of regions and volumes of solids), and integration techniques such as L’Hopital’s rule.

## MTH 3030 Linear Algebra (Fall)

4 Credits

**Prerequisite**: MTH2151

This course is an introduction to the basic structures and processes of linear algebra. Topics include systems of equations, matrices, determinants, vectors, inner product spaces, linear transformations, Gauss-Jordan elimination, eigenvalues and eigenvectors.

## MTH 3040 Differential Equations (Spring)

4 Credits

**Prerequisite**: MTH2152

This course will enable students to solve problems modeled by ordinary and partial differential equations, as well as systems of first- order and second-order differential equations with constant coefficients. Topics include a general introduction to differential equations, approximation methods, homogeneous linear differential equations, non-homogeneous differential equations, and Laplace transformations.

## MTH 3070 History of Mathematics and the Natural Sciences (Spring)

4 Credits

This course will investigate important discoveries in their historical context and the lives and contributions of great mathematicians and scientists. Emphasis will be placed on the ancient civilizations of Egypt and Babylon, Greek mathematics, Fobonacci, the Renaissance, Pascal and probability theory, Gauss number theory, and 20th Century mathematics.

## MTH 3161 Calculus III (Fall)

4 Credits

**Prerequisite**: MTH 2152

Topics included in this course are a continuation of integration techniques, improper integrals, differential equations, infinite series, conics, parametric equations, and polar co-ordinates.

## MTH 3162 Calculus IV (Multivariable Calculus) (Spring)

4 Credits

**Prerequisite**: MTH 3161

This course continues the study of Calculus. Topics include vectors, vector-valued functions, functions or several variables, multiple integration, and vector analysis.

## MTH 3200 Discrete Mathematics (Fall)

4 Credits

This course will introduce students to the basic concepts and problem-solving techniques of discrete mathematics, including algorithms, programming, predicate logic, and combinatorics.

## MTH 3250 Probability Theory

4 Credits

**Prerequisite**: MTH 2151 and 2152

This course is an introduction to the mathematical theory of probability for students who possess the prerequisite knowledge of elementary calculus. Topics include combinatorial analysis, axioms of probability, conditional probability and independence, discrete and continuous random variables, distribution and density functions, expectation and variance of a random variable, joint distributions, independent random variables, and Limit Theorems.

## MTH 3350 Foundations of Advanced Mathematics (Spring)

4 Credits

This course is an introduction to the fundamental concepts and techniques of proof. Topics include reasoning, predicate logic set theory, mathematical induction, functions, and equivalence relations.

## MTH 3740 Mathematical Modeling (Spring)

4 Credits

**Prerequisite**: MTH2152

Students in this course will learn how to build suitable mathematical models for a variety of phenomena found outside the college classroom. Different equations, dynamical systems, proportionality, geometric similarity, model fitting, simulation and probabilistic and optimization modeling, dimensional analysis, differential equations, and simplex method are some topics covered.

## MTH 4050 Advanced Geometry (Fall)

4 Credits

Topics discussed will include constructions and non-constructability, Greek astronomy, geometer’s sketchpad, modern research, and the following geometries: Euclidean, hyperbolic, spherical, and projective.

## MTH 4100 Modern/Abstract Algebra

4 Credits

This course will introduce students to the following modern/abstract algebraic structures and their accompanying theories: sets, groups and subgroups, ideals and rings, fields and homomorphisms. Pertinent algebraic properties will be discussed in relation to these structures.

## MTH 4150 Number Theory (Fall)

4 Credits

**Prerequisite**: MTH 2152

This course introduces the theory of numbers including Pythagorean triples, Fermat’s Last Theorem, divisibility and the Fundamental Theorem of Arithmetic, congruence, Euler’s phi function, primes, modular arithmetic, powers, roots, and cryptography.

## MTH 4200 Advanced Calculus

4 Credits

**Prerequisite**: MTH 2152 and 3350

In this course students will focus on the theoretical aspects of calculus, such as the concepts of limits, continuity, differentiation, and integration. Also, a variety of theorems (e.g., implicit function; inverse function) will be analyzed in relation to the fundamental issues within the calculus curricula.

## MTH 2099, 3099, 4099 Special Topics in Mathematics

4 Credits

These courses focus on special topics in mathematics, and are designed to provide students with an opportunity for in-depth study of some topic having current professional or public interest that is not thoroughly addressed within the context of regular offerings. Topics may differ each time a course is offered. Students should consult the course offering schedule and their academic advisor each semester.