Dear Concordia Faculty Advisers and Students,

All of the following courses satisfy the Mathematics K Exploration course requirement in our core curriculum, Becoming Responsibly Engaged in the World. This guide is meant to help students choose the mathematics course that is best for the student and the student’s ability level. We recommend that a majority of Concordia’s students choose a course from Section A below to fulfill their core Math K requirement. If you have any questions or comments, please contact us in the mathematics department, 4151 or mathcs@cord.edu.

A. General Level Mathematics Courses: Math 105, 203, 205, CSC 125

MATH 105 — Exploring Mathematics, 4 credits. E. This course uses real-world problems and situations to improve students’ problem-solving skills, to improve their ability to apply mathematics, and to enhance their appreciation of the importance of mathematics in our modern world. Topics will be chosen from taxicab geometry, voting theory, fair division, apportionment, scheduling, networking, probability, statistics, consumer mathematics, logic, game theory, and symmetry. Prerequisite: high school algebra.

MATH 203 — Finite Mathematics, 4 credits. E. This course examines combinatorics, probability, matrices, systems of linear equations, linear inequalities and mathematics of finance. Examples and applications are drawn from various behavioral sciences and social sciences. Prerequisite: high school higher algebra. Recommended for business, social science and other majors, and those preparing for a statistics course in their major, due to an emphasis in this course on the foundations of probability.

MATH 205 — Introduction to Statistics, 4 credits. E. This is an introductory course in statistical methods. The object of this course is to provide students with a conceptual introduction to the field of statistics, including the determination of the appropriate procedures for data analysis and the proper interpretation of results. The theory will be illustrated by examples from biology, engineering, industry and medicine. In addition, a statistical software program will be used to facilitate the understanding of statistical concepts and analysis of data sets. Prerequisite: high school higher algebra. Recommended for science and other majors looking for a full introductory treatment of statistics.

CSC 125 — Introduction to Computer Science, 4 credits. E. An introduction to the Java programming language, algorithm design, structured and object-oriented programming techniques. No prior programming experience is assumed. Prerequisite: higher algebra.

B. Mathematics for Elementary Education Majors: Math 102

MATH 102 — Fundamental Concepts of Modern Mathematics, 4 credits. E. Numeration, number systems, geometry and other topics addressed in the elementary school curriculum. Required for students majoring in elementary education; enrollment restricted to elementary education majors.

C. Mathematics from the Pre-Calculus and Calculus Sequence: Math 110, 121, 122, 223, 311

MATH 110 — Precalculus, 4 credits. E. A study of the function concept and properties of the polynomial, exponential, logarithmic and trigonometric functions. Prerequisites: high school geometry and higher algebra. Recommended for those preparing for Calculus I, or those who really enjoy higher high school algebra, the study of functions, and trigonometry.

MATH 121 — Calculus I, 4 credits. E. An introduction to the concepts of limit and continuity, the derivative and its applications, and an introduction to the definite integral. Some review of trigonometry and analytic geometry is included. Prerequisite: MATH 110 — Precalculus or equivalent. Recommended for those with a strong pre-calculus background, or those who want a full review of introductory calculus.

MATH 122 — Calculus II, 4 credits. E. Applications of the definite integral, techniques of integration, parametric equations, introduction to differential equations, sequences, series and Taylor and Maclaurin Series. Prerequisite: MATH 121 — Calculus I.

MATH 223 — Calculus III, 4 credits. E. Multivariable calculus and applications, line integrals, surface integrals. Green’s Theorem, Stokes’ Theorem and the Divergence Theorem. Prerequisite: MATH 122 — Calculus II.

MATH 311 — Differential Equations, 4 credits. E1. Differential equations and models, analytic solutions and approximations, second-order equations, harmonic oscillators, Laplace transforms and initial value problems. Prerequisite: MATH 122 — Calculus II.

D. Advanced Mathematics: Math 207, 320, 335

MATH 207 — Discrete Mathematics, 4 credits. E. Logic, sets, functions, sequences and series, matrices, algorithms, methods of proof, combinatorics, recurrence relations, linear programming, graphs and trees. Prerequisite: MATH 110 Precalculus is highly encouraged.

MATH 320 — Geometry, 4 credits. E2. Euclidean, non-Euclidean, projective and other geometries as time permits. Prerequisite: 210 — Linear Algebra.

MATH 335/CSC 335/BUS 460 — Operations Management/Research, 4 credits. E1. An introduction to quantitative modeling, with applications to computer simulation and business resource management. Topics include linear and nonlinear programming, network analysis, game theory, deterministic and probabilistic models and queuing theory. Prerequisite: consent of the instructor.

For more information, please contact the Mathematics and Computer Science Department in Ivers 234, phone 4151, or email mathcs@cord.edu.

Douglas Anderson, Chair