MATH 103 College Algebra 3 credits
The course examines sets and operations on sets, numbers systems, algebraic expressions, exponents, solutions to equations, inequalities, and graphing. Not open to students who have credit for MATH 201 or the equivalent, or to students who have placed into MATH 106 or MATH 201 by the Bethany College Mathematics Placement Examination.
MATH 105 Precalculus 3 credits
This course examines functions, including linear, quadratic, exponential, logarithmic, and trigonometric functions. Not open to students who have credit for MATH 201 or the equivalent.
MATH 106 Introduction to Mathematica 2 credits
This course introduces the student to the use of the computer program Mathematica. Students majoring in mathematics are expected to take this course in their first year so that Mathematica may be employed in all subsequent courses. Not open to students who have credit for MATH 201 or the equivalent, or to students who have placed into MATH 201 by the Bethany College Mathematics Placement Examination. Prerequisites: MATH 103 or the equivalent, or proper placement by the Bethany College Mathematics Placement Examination.
MATH 107-109 Tools of Mathematical Understanding 1 credit each
The following courses provide a focused treatment of three parts of pre-calculus mathematics. These courses are offered online with a proctored final. They may be taken individually to provide in-depth review of an area in which the student feels she or he is deficient, or they may be taken as a block to replace MATH 105 delivered in a classroom setting. Not open to students who have credit for MATH 105, 201, or their equivalents.
MATH 120 Foundations of College Mathematics 3 credits
This course represents the achievement of a 70% proficiency level in pre-collegiate mathematics on the Bethany College Mathematics Placement Examination. Successful completion of MATH 120 bars students from credit for any lower numbered Mathematics course with the exception of MATH 106 (Mathematica)
MATH 170 Connections in Mathematical Understanding 3 credits
This course examines the connections between mathematics and other liberal arts disciplines. Topics for discussion include mathematics in language, philosophy, art of symmetry, perspective, mathematics in movies and literature, daily applications of mathematics, the application of statistics, and practical uses of geometry.
MATH 201 Calculus I 4 credits
This course is a study of the real number system, equations of a line, functions, limits, and continuity, and of techniques of differentiation and integration applied to maximum and minimum problems and to related rates. (The course includes four hours of class and one laboratory session each week.) Prerequisites: MATH 105, or the equivalent; or proper placement by the Bethany College Mathematics Placement Examination.
MATH 202 Calculus II 4 credits
This course focuses on integration and differentiation of log, exponential, trig, and inverse functions. Additional topics include methods of integration, integration by parts, partial fractions, trigonometric substitution, L’Hôpital’s rule, sequences, and series. Prerequisite: MATH 201 or the equivalent.
MATH 203 Calculus III 4 credits
This course is a study of the calculus of functions of several variables and of vector valued functions. Topics include vectors, partial differentiation and integration, multiple integrals, line and surface integrals, and theorems of vector calculus. Prerequisite: MATH 202.
MATH 210 Discrete Mathematics 3 credits
This course introduces the student to the fundamental concepts of mathematics involved in computer science. Topics include induction, elementary counting, combinations and permutations, recursions and recurrence relations, graphs and trees, sorting and searching, and Boolean algebra. (This course may be taken for credit as CPSC 210.) Prerequisite: MATH 103, MATH 105 or the equivalent.
MATH 220 Introduction to Proofs and Abstract Thinking 2 credits
This course reviews the fundamental concepts of sets, relations, and functions while developing the mathematical writing, reading, and understanding of formal proofs covering topics in mathematics.
MATH 241 Mathematical Methods in the Physical Sciences 3 credits
This course is primarily intended for students with one year of calculus who want to develop, in a short time, a basic competence in each of the many areas of mathematics needed in junior to senior courses in physics and chemistry. Thus, it is intended to be accessible to sophomores (or freshmen with AP calculus from high school). Topics include ordinary and partial differential equations, vector analysis, Fourier series, complex numbers, eigenvalue problems, and orthogonal functions. (This course may be taken for credit as PHYS 241.) Prerequisites: MATH 201, 202 or permission of the Instructor.
MATH 250 Mathematics for Elementary Education 3 credits
This is a course designed in content and teaching style for elementary pre-service teachers. The course emphasizes active student participation and a field placement component which permits students to develop materials and evaluation instruments and to practice the teaching of mathematics concepts, including the structure of number systems, real number properties and the computation derived from them, problem solving strategies, and geometry and measurement. Prerequisite: permission of the instructor. Not open to Freshmen.
MATH 252 Mathematics for Teachers: Algebra and Geometry 3 credits
This is a sophomore or junior level course designed in content and teaching style for pre-service teachers of the middle and secondary grades. The NCTM Mathematics Curriculum and Evaluation Standards are incorporated in all phases of the course. The course emphasizes active student involvement and the use of a variety of software programs. Course content includes topics found in the middle and secondary grades (basic algebra and geometry), as well as the expansion of these topics as they are
encountered through the grades. Particular attention is placed on the identification of objectives for each concept and the particular NCTM Standards as they are encountered at specific grade levels. Prerequisite: MATH 250 or permission from the department.
MATH 383 Probability & Statistics I 3 credits
This course is an introduction to probability, basic distribution theory, mathematical expectations, probability densities, and random variables. Prerequisite: MATH 202 or permission of the instructor.
MATH 384 Probability and Statistics II 3 credits
This course is a study of sampling distributions, point and interval estimation, tests of hypotheses, regression and correlation, and analysis of variance. Prerequisite: MATH 383.
MATH 390 Numerical Analysis 3 credits
This course is a study of numerical methods in evaluating integrals and differential equations, techniques in finding the roots of polynomials, solving systems of linear equations, and matrix manipulation. (This course may be taken for credit as CPSC 390.) Prerequisites: MATH 202 or equivalent; CPSC 151.
MATH 400 Abstract Algebra 4 credits
This course is a study of groups, rings, integral domains, fields, and vector spaces. Prerequisite: MATH 220.
MATH 403 Introduction to Real Analysis 4 credits
This course concentrates on the careful study of the principles underlying the calculus of real valued functions of real variables. Topics include sets and functions, compactness, connectedness, uniform convergence, differentiation, and integration.Prerequisites: MATH 203, 220.
MATH 410 Topology 3 credits
This course is a study of those properties of objects that are preserved when stretching, twisting, bending, or compressing an object without tearing it and without identifying any two of its points. Topics include metric and topological spaces, cardinality, countability properties, separation axioms, continuity, and homeomorphic spaces. Prerequisite: MATH 202,220.
MATH 430 History of Mathematics 2 credits
This course is an exploration of the origins and development of mathematics including the philosophy of the mathematical sciences. Mathematical theories and techniques of each period and their historical evolution are examined.
MATH 477 Seminar in Mathematics and Computer Science 2 credits
This course includes topics in mathematics suitable to math majors. The course is open to qualified junior and senior math majors. (This course may be taken for credit as CPSC 477.)