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Program Requirements

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.

Major Requirements (BA)

Course descriptions for all MATH courses are available at the bottom of this page.

Required prerequisite — Computing Science 1 (CSIS 1210, 4 sh)

36 semester hours (sh) of major courses:

  • Required core math courses (28 sh) — MATH 1410, 1490, 1510, 1520, 3010, 3100, 3110, 3210
  • Electives — 8 sh of additional MATH courses numbered 2000 or higher

Major Requirements (BS)

Course descriptions for all MATH courses are available at the bottom of this page.

Required prerequisite — Computing Science 1 (CSIS 1210, 4 sh)

40 sh of major courses

  • Required core math courses (32 sh) — MATH 1410, 1510, 1520, 2030, 3050, 3100, 3150, 4010
  • Electives — 8 sh of additional MATH courses numbered 2000 or higher

Notes:

  • All mathematics majors must take and pass a comprehensive examination for graduation. For BS students, an oral presentation of a paper outside the classroom (paper and venue to be approved by the department faculty) is also required for graduation.
  • Departmental Honors in Mathematics — 4 sh of MATH 4000 are required in addition to the degree requirements (36 sh for BA, 40 sh for BS). Apply for admission to this during the second semester of your third year.

Minor Requirements

20 semester hours (sh)

  • Require core courses (16 sh) — MATH 1410, 1490, 1510, 1520
  • Elective courses — Any additional 4 sh in mathematics courses numbered 2000 or higher

Course Descriptions

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
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 1010 – Intermediate Algebra
Topics in beginning and intermediate algebra such as: equations and inequalities, systems, polynomials, factoring, graphing, roots and radicals, rational functions, 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 1020 – Modern Mathematics for Elementary Teachers
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 1030 – Concepts and Structures
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 1150 – Pre-Calculus Mathematics
Analysis of polynomial, rational, algebraic, trigonometric, exponential, and logarithmic functions.

MATH 1410 – Discrete Mathematics I: Number Theory And Logic
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 1490 – Introductory Statistics
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 1510 – Calculus I
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 1520 – Calculus II
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 2030 – Differential Equations
Study of ordinary differential equations, especially first and second order, with applications to geometry and the physical life sciences. Uses computers.

MATH 2420 – Discrete Mathematics II
Continuation of Math 1410. Topics selected from counting, combinations and permutations, discrete probability, recurrence relations, graphs and trees.

MATH 3010 – Introduction to Geometry
A study of Euclidean and non-Euclidean geometries by synthetic, analytic, and transformation methods.

MATH 3050 – Vector Calculus
A detailed study of functions of several variables including differentiation, line and surface integrals, and Green and Stokes' theorems. Uses computers.

MATH 3060 – Real Analysis
Introduction to the fundamentals of real analysis including real numbers, limits, derivatives, and the Riemann integral.

MATH 3100 – Linear Algebra
A study of matrices, vector spaces, linear transformations, orthogonality, eigenvalues, and eigenvectors. Uses computers. Lab included.

MATH 3110 – Modern Abstract Algebra
Study of groups, rings, ideals, integral domains, fields and their applications.

MATH 3150 – Statistical Theory
Probability, probability distributions, random variables, numerical and descriptive statistics, and statistical inference.

MATH 3210 – History of Mathematics
Study of primary sources in mathematics. Focuses on the changing nature of mathematics.

MATH 3310 – Complex Analysis
Complex numbers, elementary complex functions, the Cauchy theory, infinite series, the calculus of residues, and introduction to conformal representation.

MATH 3620 – Numerical Methods
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 3910 – Topics 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 4000 – Department Honors in Mathematics
Honors independent study in Mathematics.

MATH 4010 – Fourth-Year Seminar
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 4910 – Independent Study in Mathematics
Independent Study in Mathematics.

MATH 4970 – Internship in Mathematics
Please refer to the Internship section for requirements and guidelines.

Program Requirements