Students who complete the major requirements for a bachelor of arts (BA) or bachelor of science (BS) degree in mathematics will develop the ability to think rigorously, an understanding of the fundamental principles and techniques of mathematics, an appreciation for mathematics as the primary language of science and an important part of our cultural heritage, the ability to learn independently and utilize technology effectively for learning and problem solving, and the ability to communicate mathematics in both oral and written forms.
Click on the links below for course descriptions of all mathematics courses. For a complete list of all North Park's programs and course offerings, review the academic catalog.
MATH 1005 – Practical Mathematics for College Students
MATH 1010 – Intermediate Algebra
Topics in basic mathematics including solving equations, graphing, substitution to evaluate expressions, order of operations, word problems, translations of units, proportions, real-world modeling problems, fractions, exponential notation, and use of calculator. Registration based on score on the mathematics placement test. Developmental courses do not count toward the 120sh graduation requirement but do count towards full-time enrollment status.
MATH 1020 – Modern Mathematics for Elementary Teachers
Topics in beginning and intermediate algebra such as: equations and inequalities, systems, polynomials, factoring, graphing, roots and radicals, rational functions, conic sections, logarithms, exponents, and quadratic equations. Designed to prepare students for math classes numbered 1020 or higher and especially for MATH 1150. Developmental courses do not count toward the 120sh graduation requirement but do count towards full-time enrollment status.
MATH 1030 – Concepts and Structures
Content and trends in the mathematics usually taught at the elementary school level. Emphasis is on philosophy and concepts of mathematics. Includes computer applications.
MATH 1150 – Pre-Calculus Mathematics
Acquaints students with some of the diversity of mathematics and mathematical thinking through a survey of topics such as symbolic logic, topology, graph theory, modular arithmetic and coding theory, probablity, and the history of mathematics; or by exploring one area in depth. Oral and written work required.
MATH 1410 – Discrete Mathematics I: Number Theory And Logic
Analysis of polynomial, rational, algebraic, trigonometric, exponential, and logarithmic functions.
MATH 1490 – Introductory Statistics
Introduction to mathematical logic and writing proofs, providing a solid foundation for further work in mathematics. Topics include propositional logic, first-order logic, proof techniques, elementary number theory, sets, Boolean algebra, and relations. Students should have completed four years of high school math.
MATH 1510 – Calculus I
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. Cross-listed with STAT 1490.
MATH 1520 – Calculus II
Beginning calculus, limits and continuity, derivatives, mean value theorem, applications of derivatives, antiderivatives, Riemann Sums, introduction to the definite integrals. Uses computers. Lab included. Student should have completed four years of high school math.
MATH 2030 – Differential Equations
Continuation of MATH 1510. Fundamental theorem of calculus, evaluation of definite integrals, applications of definite integrals, introduction to differential equations, infinite sequences and series. Uses computers. Lab included.
MATH 2420 – Discrete Mathematics II
Study of ordinary differential equations, especially first and second order, with applications to geometry and the physical life sciences. Uses computers.
MATH 3010 – Introduction to Geometry
Continuation of Math 1410. Topics selected from counting, combinations and permutations, discrete probability, recurrence relations, graphs and trees.
MATH 3050 – Vector Calculus
A study of Euclidean and non-Euclidean geometries by synthetic, analytic, and transformation methods.
MATH 3060 – Real Analysis
A detailed study of functions of several variables including differentiation, line and surface integrals, and Green and Stokes' theorems. Uses computers.
MATH 3100 – Linear Algebra
Introduction to the fundamentals of real analysis including real numbers, limits, derivatives, and the Riemann integral.
MATH 3110 – Modern Abstract Algebra
A study of matrices, vector spaces, linear transformations, orthogonality, eigenvalues, and eigenvectors. Uses computers. Lab included.
MATH 3150 – Statistical Theory
Study of groups, rings, ideals, integral domains, fields and their applications.
MATH 3210 – History of Mathematics
Probability, probability distributions, random variables, numerical and descriptive statistics, and statistical inference.
MATH 3310 – Complex Analysis
Study of primary sources in mathematics. Focuses on the changing nature of mathematics.
MATH 3620 – Numerical Methods
Complex numbers, elementary complex functions, the Cauchy theory, infinite series, the calculus of residues, and introduction to conformal representation.
MATH 3910 – Topics in Mathematics
An introduction to numerical methods with computer implementation. Solution of linear, non-linear, and differential equations; interpolation and approximation; numerical integration and differentiation; and error analysis.
MATH 4000 – Department Honors in Mathematics
In-depth treatment of selected topics. Possible topics include point set topology, philosophy of mathematics, and Dynamical Systems. Prerequisite will depend on the topic.
MATH 4010 – Fourth-Year Seminar
Honors independent study in Mathematics.
MATH 4910 – Independent Study in Mathematics
Capstone course for mathematics major. Students learn to read, analyze, and learn mathematics not contained in standard undergraduate textbooks. Written and oral presentations required. Student must be of fourth-year standing and a mathematics major.
MATH 4970 – Internship in Mathematics
Independent Study in Mathematics.
Please refer to the Internship section for requirements and guidelines.