# Mathematics

## Bachelor of Science in Education with a major in Mathematics

The BSEd degree program in mathematics offered by the department in collaboration with the department of education prepares students to become high school math teachers. By completing a few additional math and education courses, graduates will be able to obtain an endorsement to teach in middle schools as well. There is a good demand for middle and high school teachers in the area and our graduates are ready to grab the opportunity.The program gives a strong background in education and mathematics. The department of education handles the teacher preparation aspects of the graduates. Graduates will complete the program by spending a whole semester in an area school doing student teaching and gaining valuable teaching experience. The design of the curriculum, well qualified faculty, small class size, effective advising, and immediate employment opportunity are some of the features of the program. Majors will have advisors in both mathematics and education areas. Get a degree in math education at Lincoln and make a difference in yours and others lives!

Students majoring in mathematics will complete the core courses; calculus I, II, & III, techniques of mathematical proofs, differential equations, linear algebra, and history of mathematics and choose 9 hours of upper division mathematics courses in the applied or classical mathematics option or 9 hours of computer science courses in the computer science option to fulfill the degree requirements. Students preferring the BA degree in mathematics will also take 12 hours of course work in a foreign language. Students majoring in other disciplines can complete a minor in mathematics in the classical or computational or statistics option by completing 19 hours of mathematics courses from calculus I and higher pertaining to the chosen option.

A student may complete a BS Math Ed Degree by completing the following 36 hours of core math courses with a minimum grade of "C":

MAT 123, 203, 304, 315, 403, 405, 406, 407, 409 and 461.

Note: In addition 47 hours of General Education courses plus 44 hours of Education courses, and a total 125 hours are required to complete the program

## BS in Education with a major in Mathematics Pathway

### MAT 50 BASIC MATHEMATICS. (3)

A course designed to review the fundamentals of basic mathematics, to introduce pre-algebra concepts and to build numeracy and problem-solving skills.

### MAT 51 BASIC ALGEBRA. (3)

A course in beginning algebra which includes topics such as basic operations with polynomials, equations, factoring and graphing. Course will facilitate development of problem solving skills and confidence in mathematical competencies.Prerequisite: MAT 50 with a grade of "C" or better or satisfactory placement score. May not be used to satisfy any University mathematics requirement

### MAT 51C BASIC MATHEMATICS AND ALGERA. (4, fa, sp)

This course will cover all materials included in the traditional MAT 50 and MAT 51 course. Prerequisites: MPE score 12-15 or placement in MAT 51.### MAT 111 INTERMEDIATE ALGEBRA. (3)

Linear equations and inequalities, graphing, linear systems, polynomials, factoring, rational expressions, radicals, and quadratic equations.

Prerequisite: MAT 51 with a grade of "C" or better or satisfactory placement score.

### MAT 112 APPLIED ALGEBRA FOR BUSINESS AND SOCIAL SCIENCE

Graphs, functions, systems of equations and inequalities, linear programming, mathematics of finance, matrix algebra, logarithmic and exponential functions and elements of statistics. A graphing calculator is required. Prerequisites: MAT 111 with a grade of "C" or better or satisfactory placement score.MAT 113

### COLLEGE ALGEBRA. (3)

Study and graphing of polynomial, rational, logarithmic and exponential functions, matrices and determinants, and systems of equations and inequalities. Graphing calculator required.

Prerequisite: MAT 111 with a grade of "C" or better or satisfactory placement score.

### MAT 114 PLANE TRIGONOMETRY. (3)

A study of the trigonometric functions including graphing, identities, solutions of trigonometric equations and solution of triangles. Graphing calculator required.

Prerequisite: MAT 113 with a grade of "C" or better or satisfactory placement score.

### MAT 115 CONTEMPORARY MATHEMATICS. (3)

A survey course designed to increase quantitative reasoning and understanding of how mathematics affects modern society. Areas of mathematics to be surveyed include statistics and probability, mathematical modeling, and logical analysis of quantitative information.

Prerequisite: MAT 111 or equivalent with a grade of "C" or better or satisfactory placement score.

### MAT 117 ELEMENTARY STATISTICS. (3)

Descriptive and inferential statistics including frequency distributions, measures of central tendency and variation, probability and sampling distributions, tests of hypothesis, confidence intervals, linear correlation and regression.

Prerequisite: MAT 111 with a grade of "C" or better or satisfactory placement score

### MAT 118 MATHEMATICAL FOUNDATIONS FOR ELEMENTARY TEACHERS. (3)

A theoretical analysis of arithmetic and algebra designed for prospective elementary teachers. This course is required for elementary education majors and will not meet the general education requirement for any other major.

Prerequisite: MAT 111 with a grade of "C" or better or satisfactory placement score.

### MAT 119 GEOMETRY AND STATISTICS FOR ELEMENTARY TEACHERS (3)

A continuation of MAT 118 including the study of geometry and statistics. This course is required for elementary education majors and will not meet the general education mathematics requirement for any other major.

Prerequisite: MAT-111 with a grade of "C" or better.

### MAT 120 CONCEPTS OF CALCULUS. (3)

This course surveys the major concepts of calculus including functions, limits, differential and integral calculus. This course is designed for non-majors and those seeking certification to teach in middle school. Graphing calculator required.

Prerequisite: MAT 113 or MAT 112 or MAT 121 with a grade of "C" or better or satisfactory placement score.

### MAT 121 PRECALCULUS MATHEMATICS. (5)

A unified course with the same content as MAT 113 and MAT 114. Graphics calculator required.

Prerequisite: MAT 111 with a grade of "C" or better or satisfactory placement score.

### MAT 123 CALCULUS I. (5)

Plane analytic geometry, functions, limits, continuity, differentiation and applications, antiderivatives, the definite integral, and logarithmic and exponential functions. Graphics calculator required. Prerequisites: MAT 113 and MAT 114 or MAT 121 with a grade of "C" or better or satisfactory placement score

### MAT 175 SPECIAL TOPICS. (1-5)

Topic to be listed in course schedule. May enroll again as topic changes. May not be used as a general education requirement.

### MAT 203 CALCULUS II. (5)

Techniques and applications of integration; trigonometric functions; graphs with polar and rectangular coordinates, including conic sections, infinite series, plane, parametric and polar curves. Graphics calculator required.

Prerequisite: MAT 123 with a grade of "C" or better.

### MAT 300 TOPICS IN MATHEMATICS. (1-3)

An in-depth study of a topic of mathematics. May not be used to satisfy General Education requirement in mathematics.

Prerequisite: Permission of Department Head.

### MAT 301 ELEMENTS OF FUNCTION ANALYSIS. (3)

Study of functions used to model algebra, probability, trigonometry and logarithm.

Prerequisite: MAT 112 or MAT 113 and MAT 117.

### MAT 302 ELEMENTS OF GEOMETRY. (3)

This course will focus on applications of concepts on two- and three-dimensional Euclidean geometry, including constructions, transformations and measurement. Other topics studied in this course will include topology, finite geometries and software such as Geometer's Sketch Pad. Computer and graphics calculator applications will be used.

Prerequisite: MAT 113, MAT 114 or 119 with a grade of "C" or better.

### MAT 304 CALCULUS III. (5)

Solid analytic geometry, vectors, partial derivatives, multiple integrals. Graphing calculator required.

Prerequisite: MAT 203 with a grade of "C" or better.

### MAT 315 TECHNIQUES OF MATHEMATICAL PROOFS. (3)

Elementary logic and set theory; cardinality of sets; mathematical induction and other strategies for proving fundamental results in number theory, abstract algebra, and real analysis.

Prerequisite: MAT 123.

### MAT 324 DIFFERENTIAL EQUATIONS. (3)

First order differential equations, linear differential equations of higher order, power series solutions. Laplace transforms, systems of linear differential equations with applications. Graphing calculator required.

Prerequisite: MAT 203. Students are encouraged to take MAT 304.

### MAT 390 DIRECTED TUTORING. (3)

Supervised tutoring. Student may enroll for a total of 6 credit hours will not count toward the major.

Prerequisite: Permission of Department Head.

### MAT 403 LINEAR ALGEBRA. (3)

Matrices and determinants, solution of linear systems, vector space theory, eigenvalues and eigenvectors, linear transformations, and selected applications.

Prerequisite: MAT 304 or concurrent enrollment in 304 with consent of instructor.

### MAT 405 APPLIED STATISTICS. (3)

Types of data models, estimation and hypothesis testing on parameters, chi-square tests, analysis of variance, regression and correlation, multiple regression, and non-parametric statistical methods.

Prerequisite: MAT 117, and MAT 120 or 123.

### MAT 406 HISTORY OF MATHEMATICS. (3)

A problem-solving approach to the historical development of mathematics and the study of the men and women who contributed to this development. This course is designated writing intensive.

Prerequisite: MAT 120 or 123.

### MAT 407 MODERN GEOMETRY. (3)

Axiomatic study of Euclidean and non Euclidean geometry. Topics of Euclidean geometry include incidence, convexity, the Parallel Postulate, Pasch's Theorem, and the geometry of transformations. Non-Euclidean geometry includes some finite and hyperbolic geometries.

Prerequisite: MAT 120 or 123.

### MAT 409 ABSTRACT ALGEBRA. (3)

Algebraic structures; groups, rings and fields.

Prerequisite: MAT 315.

### MAT 413 INTRODUCTION TO REAL ANALYSIS. (3)

Foundations of real numbers, analysis of real-valued functions of one variable, including limit, derivative, continuity. Students are strongly encouraged to take an upper level theoretical mathematics course before taking MAT 413.

Prerequisite: MAT 304 and MAT 315.

### MAT 414 ADVANCED CALCULUS. (3)

Differential and integral calculus of functions of several variables, including vector functions, differentials, approximations, implicit and inverse function theorems.

Prerequisite: MAT 304.

### MAT 415 MATHEMATICAL STATISTICS. (3)

Theory of probability, random variable, probability distributions and probability densities, mathematical expectation. Sampling distributions, introduction to estimation, confidence intervals and tests of hypotheses.

Prerequisite: MAT 123.

### MAT 421/422 SPECIAL TOPICS IN MATHEMATICS. (1-5)

Topic to be listed schedule; may re-enroll in 422 as topic changes.

Prerequisite: 18 hours of required major courses and consent of instructor.

### MAT 450 INDEPENDENT STUDY. (3)

A course of independent study on a mathematical topic, in a mentoring environment, with one-on-one collaboration between faculty and student.

Prerequisite: Permission of Department Head.

### MAT 461 INTRODUCTION TO MATHEMATICAL PROGRAMMING. (3)

Programming techniques for mathematics/science majors. Prerequisites: MAT 203 and concurrent enrollment in MAT 304.

### MAT 467 NUMERICAL ANALYSIS. (3)

Numerical methods for solving an equation or systems of equations, numerical differentiation and integration, interpolating polynomials, numerical solution of differential equations; computer programs for selected methods.

Prerequisite: MAT 304 and 461.

Lincoln's academic programs are designed specifically to prepare students for a career in the real world. But it's more than just job preparation; it's preparing students to make a full impact in their profession through the unique combination learning of concepts and application of those concepts. Here are some of the potential professions for accounting majors:

- Mathematician
- Actuary
- Statician