# Mathematics (MTH)

# Mathematics (MTH)

**099 Basic College Mathematics**

A one-semester course that is designed for students requiring an in depth review
of Algebra I. This course focuses on the study of signed numbers, elementary functions,
elementary algebraic expressions and their applications.

Three hours, credit not for graduation.

**100 Intermediate Algebra**

Intended for students who are not ready to begin pre-calculus, but who require an
understanding of those principles and methods of algebra that are prerequisite for
the study of statistics and applied mathematics of the social sciences as well as
pre-calculus. (Hours earned count toward graduation, but course does not meet Liberal
Arts Core requirements.)

*Three hours, three credits.
*

**103 Concepts in Pre-Calculus**

MTH 103 is the first semester of a two-semester college mathematics sequence (MTH 203 is the second course in this sequence) designed for students majoring in business or a social science. Topics covered include linear and quadratic equations, functions (especially linear, quadratic, exponential, and logarithmic), graphing, mathematics of finance, and matrix methods for solving a system of linear equations. MTH 103 and MTH 111 cannot both be taken for credit. Prerequisite: A grade of “C” or higher in Math 100 or high school algebra I and II.

*Three hours, three credits.*

**105 Fundamentals of Mathematics**

This course introduces Liberal Arts Students to multiple topics in Mathematics. It helps students develop critical thinking skills; improve their ability to analyze and solve problems; and improve their use of mathematical skills and tools. Topics covered will include a combination of Number Systems, Algebra, Geometry, Probability and Statistics, and selected other topics. Prerequisite: MTH 099 or high school Algebra I and II and Geometry.

*Three hours, three credits.*

**106 Math Manipulatives**

This three week course offers students a “hands on” approach to mathematics. Different areas of mathematics will be examined including, but not limited to, algebra, geometry, and calculus. Students’ understanding will be demonstrated through presentations and/or demonstrations. Prerequisites: MTH 099 or high school Algebra I and II and Geometry.

*Six hours, three credits.*

**107 Introduction to Finite Mathematics**

An introduction to topics from finite mathematics including sets, probability, algebra of functions, and descriptive statistics. The focus is on analyzing, interpreting data and problem-solving to both provide a firm quantitative background and prepare students for further courses in statistics. Prerequisites: MTH 100 or 105 or placement test into MTH 107.

*Three hours, three credits.*

**111, 112 Pre-Calculus**

These courses will focus on the study of functions. The students will learn how to build functional models of real world data and the uses and limitations of these models in decision making. During this process they will become familiar with linear, polynomial, exponential, logarithmic, and trigonometric functions. The students will also be introduced to elementary statistics, probability, and such discrete mathematics as a study of matrices. MTH 103 and MTH 111 cannot both be taken for credit. Prerequisite for MTH 111: MTH 100 or high school algebra I and II and geometry. Prerequisite for MTH 112: MTH 103 or 111 or one credit of high school mathematics beyond algebra II.

*Three hours, three credits.*

**180, 280, 380, 480 Mathematical Sciences Practicum**

The course will be tailored to the interest and talents of each individual student. The goal will be to give the student hands on experience in some aspect of mathematical science not specifically addressed in the regular course curriculum. Students will work closely with an individual faculty member or committee of members. Examples of experiences possible include (but are not limited to) such things as aiding as an assistant in the statistics and physics classes and the investigation of special topics and projects of interest to the student. It must be stressed that the work will be carefully constructed around the student’s background and interests. (May be repeated up to three credit hours).

*One credit each.*

**203 Concepts in Calculus**

MTH 203 is the second semester of a two-semester college mathematics sequence (MTH 103 is the first course of this sequence) designed for students majoring in business or a social science. Topics covered provide an introduction to differential and integral calculus. MTH 203 and MTH 211 may not both be taken for credit. Prerequisite: A grade of “C” or higher in MTH 103 or 111, or equivalent preparation in a high school pre-calculus course.

*Three hours, three credits.*

**206 Introductory Statistics with Business Applications**

An introduction to descriptive and inferential statistical concepts with business applications. Prerequisite: MTH 103, 107, 111 or higher, or one credit of high school mathematics beyond algebra II.

*Three hours, three credits.*

**208 Introductory Statistics**

An introduction to descriptive and inferential statistical concepts with science and humanities applications. Prerequisite: MTH 103, 107, 111 or higher, or one credit of high school mathematics beyond algebra II.

*Three hours, three credits.*

**211 Calculus I**

A study of the limit concept, differentiation and integration of algebraic, exponential, trigonometric, and logarithmic functions, applications of the derivative, and applications of the definite integral. MTH 203 and MTH 211 may not both be taken for credit. Prerequisite: MTH 112 or “B” or above in high school math analysis.

*Five hours, four credits.*

**221 Calculus II**

This course examines techniques of integration not discussed in Calculus I, applications of integrals, integrals in polar coordinates, the theory of differentiation and integration, improper integrals, sequences, and series. Prerequisite: MTH 211.

*Five hours, four credits.*

**290, 390, 490 Selected Topics in Mathematics**

A course to acquaint students with important Mathematical topics that are not covered in the regular Mathematics curriculum. These courses allow the program to adapt to the needs of our students and to the professional expertise that might be available. Credit hours vary depending on course topic. Prerequisites depend on course topic.

*One to three hours, one to three credits.*

**301 Multivariable Calculus**

Vector Calculus, partial differentiation, and multiple integrals are included in this course. Prerequisite: MTH 211.

*Three hours, three credits.*

**302 Introduction to Linear Algebra**

Matrix algebra, vector spaces, linear transformations and matrices. Prerequisite: MTH 211.

*Three hours, three credits.*

**303 Differential Equations**

A study of differential equations of the first order, linear equations of any order, homogeneous linear equations and applications. Prerequisite: MTH 221.

*Three hours, three credits.*

**306 Intermediate Statistics**

Follows either MTH 206 or MTH 208. More advanced topics in parametric and nonparametric statistics are considered. Prerequisite: MTH 206 or Math 208.

*Three hours, three credits.*

**311, 312 Discrete Mathematical Structures**

Includes a review of set algebra including mappings and relations. Then several discrete mathematical structures, most of which have direct application to computer science, are studied. These structures include sets, sequences, relations, graphs, digraphs, functions, permutations, posts, Boolean algebras, trees, languages, groups, semigroups, and finite-state machines. Prerequisite: MTH 103 or MTH 111 or higher.

*Three hours, three credits each.*

**320 Concepts in Liberal Arts Mathematics**

Designed for students seeking a more advanced and thorough treatment of the topics generally associated with mathematics for liberal arts students. It provides those planning to teach mathematics the background to confidently and comfortably present the mathematics in the school curriculum. Prerequisite: MTH 105 or higher.

*Three hours, three credits.*

**410 Introduction to Numerical Methods**

An introduction to the fundamental methods that are used to solve problems in applied mathematics. Topics will include the approximation of functions, numerical integration and differentiation, and the solution of systems of equations. Software will be used to apply these methods to a variety of problems in science, engineering, and business. Prerequisites: MTH 211, 302.

*Three hours, three credits.*

**420 Foundation of Geometry**

Emphasis is placed on Euclidean Geometry and its postulates. Non-Euclidean geometry and the subsequent developments in mathematics are included. The student will study one or more geometric axiom systems and construct many proofs relying solely on logic and the axioms. This course is designated Writing Intensive; a grade of “C” or higher in this course is required for this course to count toward the six-credit-hour Writing Intensive graduation requirement for Ferrum College. A student cannot earn a grade of “C” or higher in this course unless he or she earns a “C” or better on the writing assignments required by the course. Prerequisite: MTH 211.

*Three hours, three credits.*

**497 Foundations of Mathematics**

This course is the beginning of the capstone experience for Mathematical Sciences majors. The first part of the course involves preparation for and the taking of a comprehensive examination on the foundational areas of mathematics. The written examination is divided into three levels, each of which is taken separately and each of which must be passed in order to proceed to the next. The student must pass all three levels in order to pass the course. The second part of the course involves preparation for and the taking of an oral examination on an advanced area of mathematics of the student's choosing. The student must pass the oral examination in order to pass the course. Prerequisites: MTH 208, MTH 302, MTH 303, and MTH 311.

*Two hours, two credits.*

**498 Senior Seminar in Mathematics/Computer Science**

Discussion and presentation of papers by students and faculty on problems of current interest in Mathematical Sciences and Computer Science using knowledge gained from previous courses and initiating new and current research ideas.

This course is designated Writing Intensive; a grade of “C” or higher in this course is required for this course to count toward the six-credit-hour Writing Intensive graduation requirement for Ferrum College. A student cannot earn a grade of “C” or higher in this course unless he or she earns a “C” or better on the writing assignments required by the course. Prerequisite: MTH 497 and Senior standing with a major in Mathematical Sciences.

*Three hours, three credits.*