# Mathematics Education Major (Secondary Track)

**The mathematics education major (secondary track) requires a minimum of 37 credit hours.**

Students completing a double major in mathematics and secondary education have the following requirements for their mathematics major. These meet the specifications of the accrediting agencies for the secondary education program and prepare students to teach high school mathematics courses.

*All prerequisites must be completed prior to enrollment in the following courses.*

**4 credit hours**

*Prerequisite: Two years of high school algebra. *An introduction to computer science through applications such as media. A major component is programming design and development using a language such as Python or Java. A disciplined approach to problem solving methods and algorithm development will be stressed using top-down design and stepwise refinement. Topics included are syntax and semantics, I/O, control structures, modularity, data types, and object-oriented programming.

**4 credit 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.

**4 credit hours**

*Prerequisite: MATH 231 or MATH 236. It is recommended that students receive a grade of C or better in MATH 231 or MATH 236 to be successful in this course.*

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

**4 credit hours**

*Prerequisite: MATH 232. It is recommended that students receive a grade of C or better in MATH 231 to be successful in this course.*

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

**3 credit hours**

*Prerequisite: MATH 231 or MATH 236. Recommended prerequisite: MATH 232.*

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.

**3 credit hours**

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

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

**3 credit hours**

*Prerequisite: MATH 234.*

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

**3 credit hours**

*Prerequisite: MATH 233, MATH 234. Recommended prerequisite: MATH 301. *

Real number system, set theory, continuity and differentiability.

**3 credit 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.* This course is designed to be a capstone experience taken during the final semester of the senior year. This course has been approved as an Honors qualified course.*

Choose one course from the following (3 hrs.):

**3 credit hours**

*Prerequisite: MATH 211; MATH 231; or MATH 236. *This course includes propositional logic, induction and recursion, number theory, set theory, relations and functions, graphs and trees, and permutations and combinations.

**3 credit hours**

*Prerequisite: One year of high school algebra.*

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.

**3 credit hours**

*Prerequisite: MATH 326. It is recommended that students receive a grade of C or better in MATH 326 to be successful in this course. *This course takes the material from MATH 326 into the applications side of statistics including functions of random variables, sampling distributions, estimations and hypothesis testing.