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.

CSCI 251: Introduction to Computer Science
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.

MATH 231: Calculus I
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.

MATH 232: Calculus II
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.

MATH 233: Calculus III
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.

MATH 234: Introduction to Mathematical Proof
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.

MATH 235: Linear Algebra
3 credit hours

Prerequisite:  MATH 232. 
Study of linear transformations, matrices and vector spaces.

MATH 301: Abstract Algebra
3 credit hours

Prerequisite:  MATH 234 or CSCI 241 and CSCI 262MATH 235. 
The elementary properties of groups, rings and fields are developed.

MATH 330: Geometry
3 credit hours

Prerequisite:  MATH 234. 
Foundations of Euclidian geometry from the axioms of Hilbert and an introduction to non-Euclidian geometry.

MATH 421: Real Variables
3 credit hours

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

Real number system, set theory, continuity and differentiability.

MATH 493: Senior Seminar
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.): 

CSCI 241: Discrete Mathematics
3 credit hours

Prerequisite: MATH 211MATH 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.

MATH 227: Introduction to Statistics
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.

MATH 327: Mathematical Statistics
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.

We recommend that students also take CSCI 241, MATH 326, MATH 327 and MATH 366 since these areas of study are becoming popular high school topics.