Degree Requirements and Course Descriptions

The objectives of the Department of Mathematics are to develop in the student : (1) the ability to think rigorously; (2) an understanding of the fundamental principles and techniques of mathematics; (3) an appreciation of mathematics as the primary language of science and an important part of our cultural heritage.

Required semester hours	36 semester hours.
Prerequisites and supporting courses	CMPT 1210 (4 sh)
Required core courses	MATH 1510, 1520, 3050, 3060, 3100, 3110, 3150, 4010 (28 sh)
Electives	4 additional hours in Mathematics, numbered 2000 or higher
Notes and restrictions	A comprehensive examination is required for graduation. For students in secondary education: The B.A. in Math requires 32 semester hours in MATH, namely MATH 1510, 1520, 3010, 3050, 3060, 3100, 3110, 3150, 3210 and 4010 as well as CMPT 1210 (4 sh) as a supporting course.
Honors	For Departmental Honors in Mathematics 4 semester hours of MATH 4000 are required in addition to the 32 semester hours for a B.A. Students are encouraged to make an oral presentation of their research at a professional meeting. Application for admission should be made the second semester of the third year. For general Departmental Honors requirements and MATH 4000 course description, see pages XX and XX of the Catalog, respectively.

Required semester hours	40 semester hours.
Prerequisites and supporting courses	CMPT 1210 (4 sh)
Required core courses	MATH 1510, 1520, 3050, 3060, 3100, 3110, 3150, 3620, 4010 (32 sh)
Electives	4 additional hours in Mathematics, numbered 2000 or higher
Notes and restrictions	A comprehensive examination is required for graduation.
Honors	4 semester hours of MATH 4000 are required in addition to the 36 semester hours for a B.S. Students are encouraged to make an oral presentation of their research at a professional meeting. Application for admission should be made the second semester of the third year. For general departmental honors requirements and a MATH 4000 course description, see pages XX and XX of the Catalog, respectively.

Courses Offered by the Math Department

Topics in basic algebra including numbers, equations and inequalities, polynomials, factoring, graphing, linear equations and inequalities, roots and radicals, and quadratic equations. Designed for students unprepared to begin university level mathematics. Prerequisite(s): designated mathematics subscore on the ACT or SAT.

Topics in beginning and intermediate algebra. Designed for students unprepared to begin university level mathematics. Prerequisite(s): MATH 1000 or designated mathematics subscore on the ACT or SAT.

Content and trends in the mathematics usually taught at the elementary school level. Emphasis is on philosophy and concepts of mathematics. Includes computer applications. Prerequisite(s): designated mathematics subscore on the ACT or SAT.

Acquaints students with some of the diversity of mathematics and mathematical thinking through the study of topics such as symbolic logic, set theory, probability, graph theory, systems of linear equations, and linear programming. Prerequisite(s): MATH 1010 or designated mathematics subscore on the ACT or SAT.

Analysis of polynomial, rational, algebraic, trigonometric, exponential and logarithmic functions. Prerequisite(s): MATH 1010 or designated mathematics subscore on the ACT or SAT.

Survey of mathematical concepts and techniques applied to problems in life, social and managerial sciences. Topics include linear models, matrices, linear programming, and an introduction to calculus. Prerequisite(s): MATH 1010 or designated mathematics subscore on the ACT or SAT.

Introduction to applied statistical analysis. Descriptive, correlational, and inferential statistics; concepts of population, sample, sampling distribution; elements of probability; parameters of discrete distributions; hypothesis testing: analysis of proportions, means, and variance; linear regression. Prerequisite(s): MATH 1010 or designated mathematics subscore on the ACT or SAT. Cross listed in Statistics.

Beginning calculus. Limits and continuity, derivatives, mean value theorem, applications of derivatives, introduction to definite integrals, applications of integration. Uses Apple Macintosh computer. Prerequisite(s): MATH 1150 or four years high school mathematics.

Continuation of Math 1510. Infinite series, vectors, geometry in three-dimensional space, partial derivatives and multiple integrals. Uses Apple Macintosh computer. Prerequisite(s) Math 1510

Discussion of ordinary differential equations, especially first and second order, with applications to geometry and physics. Prerequisite(s): MATH 1520

A study of Euclidean and non-Euclidean geometries by synthetic, analytic and transformation methods. Prerequisite(s): MATH 1520

A detailed study of functions of several variables including differentiation, line and surface integrals, Green and Stokes' theorems. Prerequisite(s): MATH 1520

Introduction to the fundamentals of real analysis including real numbers, limits, derivatives, and the Riemann integral. Prerequisite(s): MATH 1520

A study of matrices, vector spaces, linear transformations, orthogonality, eigenvalues and eigen-vectors. Uses Macintosh computers. Prerequisite(s): MATH 1520

Study of groups, rings, ideals, integral domains and fields. Prerequisite(s): MATH 1520

Probability, probability distributions, random variables, numerical and descriptive statistics, statistical inference. Prerequisite(s): MATH 1520

Sources of mathematics principles; growth of mathematical endeavors. A reading course. Prerequisite(s): MATH MATH 1520

Complex numbers , elementary complex functions, the Cauchy theory, infinite series, the calculus of residues and introduction to conformal representation. Prerequisite(s): MATH 3060 or consent of instructor

An introduction to numerical methods with computer implementation. Solution of linear, non-linear, and differential equations, interpolation and approximation, numerical integration and differentiation; error analysis. Prerequisite(s): MATH 1520

Mathematical modeling, linear and dynamic programming, the simplex method, network analysis and game theory. Applications in social, life and management sciences. Prerequisite(s): MATH 1520

In-depth treatment of selected topics. Possible topics include point set topology, philosophy of mathematics and fractals. Prerequisite(s): MATH 1520 plus consent of instructor

Capstone course for mathematics major to draw together material from previous courses and provide perspective on the frontiers of mathematics, develop problem solving and communication skills through group work, oral and written presentations. Prerequisite(s): fourth year standing mathematics major

Required semester hours	20 semester hours.
Required core courses	20 semester hours in the Mathematics department in courses numbered 1510 or higher, including MATH 1510 and 1520

Degree Requirements and Course Descriptions

North Park University Catalog: Mathematics

Courses Offered by the Math Department