|Course Title / Description
|Intermediate Algebra 3 credits
Foundational math course in which mathematical thought and reasoning are developed through the study of polynomials, factoring, rational expressions, exponents, roots and radicals, quadratic equations, functions and graphing. This course counts toward attempted semester credits and allows for inclusion in financial aid calculations; however, this course does not contribute to overall credits earned, semester, or overall GPA, and does not fulfill degree or General Education requirements.
|Math Problem Solving 4 credits
A mathematical course designed specifically to focus on the improvement of problem-solving skills and mathematical reasoning in many different areas. Topics discussed will include mathematical modeling, probability, statistics, logic, exponential growth, matrices, and chaos. Students need to be proficient in Intermediate Algebra. This course is intended for Education majors only.
|Quantitative Reasoning 4 credits
This course aims to develop competence and fluency with quantitative data to understand and create sophisticated arguments supported by valid quantitative evidence. Algebraic reasoning, decision-making, and modeling skills will be emphasized while investigating topics such as interest, investing, proportional reasoning, linear and exponential growth and decay, and mathematical modeling and analysis. This course qualifies as a general education problem-solving core requirement.
|Introduction to Statistics 3 credits
Beginning statistical theory and practice are introduced through topics of data collection, sampling techniques, organization and presentation of data, measurement of central tendency, probability concepts, discrete and continuous probability distributions, statistical estimation, hypothesis testing, correlation analysis, linear regression and analysis of variance. Prerequisite: MATH110 - Math Problem Solving, MATH115 - Quantitative Reasoning, MATH130 - Applied Algebra and Trigonometry, MATH151 - Calculus I, or consent of instructor.
|Applied Algebra and Trigonometry 4 credits
This course is designed to study topics in algebra and trigonometry through the perspective of applications. Concepts studied include polynomial, rational, exponential, logarithmic, and trigonometric functions. Additional topics include right triangle trigonometry, trigonometric identities, and laws of sines and cosines. The course focuses on mastery of critical skills and exposure to new skills necessary for success in subsequent math courses.
|Calculus I 4 credits
A study of limits and continuity of functions, derivatives, rules and applications of differentiation, inverse trigonometric functions, rates of change, single-variable optimization, Newton’s method, and indefinite integrals. A wide variety of applications from the physical, natural, and social sciences is explored. A solid background in algebra and trigonometry is expected.
|Calculus II 4 credits
Definite integrals, applications of the Fundamental Theorem of Calculus, techniques and applications of integration, indeterminate forms, improper integrals, infinite sequences and series, tests for convergence, Taylor's theorem and Taylor polynomials. Prerequisite: MATH151 - Calculus I or equivalent.
|Multivariable Calculus 4 credits
Plane and three-space vectors, vector-valued functions, partial differentiation, Lagrange multipliers, multiple integrals and vector calculus. Prerequisite: MATH152 - Calculus II.
|Differential Equations 3 credits
Solving differential equations including separable, homogeneous, linear and exact equations, method of undetermined coefficients, variation of parameters, operators and annihilators, Laplace transforms, systems of differential equations, numerical methods, and applications of differential equations. Prerequisite: MATH152 - Calculus II.
|Foundations of Abstract Mathematics 3 credits
This course is an introduction to the theory and methods of mathematical proof, including the methods of contradiction and contraposition. The primary objectives are for students to be able to read and write mathematical proofs. Subject material covered may include set theory, logic and number theory. Prerequisite: MATH152 - Calculus II.
|Probability and Statistics I 3 credits
A calculus-based course covering introductory level topics of probability and statistics, including probability, random variables and probability distributions, joint probability distributions, and functions of random variables. Prerequisite: MATH243 - Multivariable Calculus.
|Probability and Statistics II 3 credits
A continuation of MATH321 - Probability and Statistics I, covering introductory level topics of probability and statistics, including statistical inference (both estimation and hypothesis testing), analysis of variance, regression, and correlation. Prerequisite: MATH321 - Probability and Statistics I.
|Discrete Mathematics 3 credits
This course will cover the topics of symbolic logic, sequences, graph theory and trees, recursive relations, linear programming, and number theory topics such as divisibility, Euclidean algorithm and prime numbers. Prerequisite: MATH151 - Calculus I and COMS103 - Intro to Programming I, or consent of instructor.
|Linear Algebra 3 credits
A study of linear algebra, vector spaces, inner product spaces, norms, orthogonality, eigenvalues, eigenvectors, matrices, and linear transformations. Prerequisite: MATH243 - Multivariable Calculus or consent of instructor.
|Graph Theory 3 credits
Graph theory studies networks of nodes and edges. It is fundamental to solving problems in computer security, parallel processing, traffic flow and scheduling. Possible topics covered include connectivity, trees, spanning trees, coverings, paths, circuits, planarity, colorability, digraphs, domination, matchings, Ramsey theory, extremal graph theory, random graphs, and weighted graphs. Prerequisite: MATH295 - Foundations of Abstract Mathematics or consent of instructor.
|College Geometry 4 credits
The course will begin with the discoveries of ancient mathematicians such as Archimedes, Eratosthenes and the Father of Geometry, Euclid. This classic geometry of two-dimensions is similar to what you may have studied in high school, but we will study more advanced Euclidean geometry through rigorous deductive proof. During the second half of the semester, we will move into geometry based upon other axiomatic structures, specifically: non-Euclidean geometry, projective geometry, and fractal geometry. Prerequisite: MATH295 - Foundations of Abstract Mathematics.
|Numerical Analysis 4 credits
This course introduces students to the design, analysis, and implementation of numerical algorithms designed to solve mathematical problems that arise in the real-world modeling of physical processes. Topics will include several categories of numerical algorithms such as solving systems of linear equations, root-finding, approximation, interpolation, numerical solutions to differential equations, numerical integration, and matrix methods. Prerequisites: MATH351 - Linear Algebra and COMS103 - Intro to Programming I.
|Mathematical Modeling 3 credits
Modeling is a course that covers techniques for analysis and decision-making for industrial problems, discrete and continuous optimization, dynamical systems modeling, and probabilistic methods in applied mathematics. Prerequisite: MATH260 - Differential Equations.
|Real Analysis 3 credits
A course in rigorous analysis involving proofs of the theories behind calculus. Topics include real numbers, metric spaces, proofs of the convergence of sequences and series, proof of continuity of functions, and the theories of differentiation and Riemann integration. Prerequisite: MATH243 - Multivariable Calculus and MATH295 - Foundations of Abstract Mathematics, or consent of the instructor.
|Abstract Algebra 3 credits
The three primary topics of this course are groups, rings, and fields. Groups will be studied, including homomorphisms, normal subgoups, and the symmetric and alternating groups. The theorems of Lagrange, Cauchy, and Sylow will be developed and proven. Prerequisite: MATH295 - Foundations of Abstract Mathematics.
|Topics in Mathematics 4 credits
A course designed to include topics outside the scope of our other course offerings. Topics may include, but are not limited to, mathematical biology, combinatorics, differential geometry, set theory, number theory, advanced linear algebra, advanced abstract algebra, advanced statistical methods, and Galois theory. Prerequisites: Mathematics major or consent of instructor.
|Introduction to Mathematical Research 2 credits
This seminar aims to develop scholarly interests while challenging students to become independent thinkers by polishing the students' analytical, research, and presentation skills from the variety of mathematics areas studied. As the first course in a capstone sequence, it is designed to impart skills and techniques essential to students undertaking their independent research projects. Prerequisite: Upper divison mathematics major or consent of instructor.
|Senior Thesis 2 credits
Satisfies the mathematics major capstone requirement and is composed of a written report based on student research. Each student will be expected to present their thesis to the Bethany community through a presentation. Prerequisite: MATH494 - Introduction to Mathematical Research or consent of instructor. Senior status normally required.
|Mathematics Internship 3 credits
A mathematics-related field experience with an approved agency fulfilling an individual learning contract negotiated between student, faculty advisor, and worksite. Each student will be expected to prepare a poster and give a presentation of successful completion of learning outcomes from the internship. Prerequisite: Consent of faculty advisor.