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MATH - Mathematics Courses

MATH 097
3.00 cr.
Intermediate Algebra

Remedial math course designed to prepare students for Math Problem Solving or College Algebra. Mathematical thought and reasoning developed through the study of polynomials, factoring, rational expressions, exponents, roots and radicals, quadratic equations, functions and graphing.

MATH 110
4.00 cr.
Math Problem Solving

A liberal arts 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. Student needs to be proficient in Intermediate Algebra.

MATH 111
4.00 cr.
College Algebra

A study of functions, starting with the definition and focusing on the use of functions in all forms to model the real world. Includes comparing linear and nonlinear functions, transforming functions, looking at polynomial and rational functions globally and locally, models of growth and decline and systems of equations. Student needs to be proficient in Intermediate Algebra.

MATH 112
3.00 cr.
Trigonometry

Trigonometric functions, inverse trigonometric functions, trigonometric identities and conditional equations, solving triangles, polar coordinates, complex numbers, and analytic geometry. Prerequisite: MATH111 or equivalent.

MATH 120
3.00 cr.
Introduction to Statistics

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: MATH111 or equivalent.

MATH 151
4.00 cr.
Calculus I

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. Prerequisite: MATH112 or equivalent.

MATH 152
4.00 cr.
Calculus II

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 or equivalent.

MATH 243
4.00 cr.
Multivariable Calculus

Plane and three-space vectors, vector-valued functions, partial differentiation, Lagrange multipliers, multiple integrals and vector calculus. Prerequisite: MATH152.

MATH 260
3.00 cr.
Differential Equations

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.

MATH 295
3.00 cr.
Foundations of Abstract Mathematics

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.

MATH 321
3.00 cr.
Probability and Statistics I

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.

MATH 322
3.00 cr.
Probability and Statistics II

A continuation of MATH321, covering introductory level topics of probability and statistics, including statistical inference (both estimation and hypothesis testing), analysis of variance, regression, and correlation. Prerequisite: MATH321.

MATH 341
3.00 cr.
Introduction to Real Analysis

An introductory course in rigorous analysis, covering real numbers, sequences, series, continuous functions, differentiation, and Riemann integration. Prerequisite: MATH295 or consent of instructor.

MATH 351
3.00 cr.
Linear Algebra

A study of linear algebra, vector spaces, inner product spaces, norms, orthogonality, eigenvalues, eigenvectors, matrices, and linear transformations. Prerequisite: MATH243 or consent of instructor.

MATH 380
4.00 cr.
Numerical Analysis

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. Prerequisite: MATH351. Recommended: COMS103.

MATH 385
3.00 cr.
Mathematical Modeling

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.

MATH 390
3.00 cr.
History of Mathematics

An introduction to the historical development of fundamental mathematical concepts. Emphasis is placed on the development of numeration systems, geometry and formal axiomatic systems, solutions of polynomial equations, the development of calculus, and the impact of global events on the development and proliferation of mathematical ideas. Prerequisite: MATH295.

MATH 440
3.00 cr.
Real Analysis

An extension of MATH341, the primary topics of this course include rigorous developments of mulivariate differentiation, Riemann and Riemann-Stieltjes integration, sequences, series, continuous functions, and the topology of Euclidean space. Prerequisite: MATH341.

MATH 450
4.00 cr.
Abstract Algebra

The three primary topics of this course are groups, rings, and fields. Groups will be studied, including homomorphisms, normal subgroups, and the symmetric and alternating groups. The theorems of Lagrange, Cauchy, and Sylow will be developed and proven. Rings, including subrings, ideals, quotient rings, homomorphisms, and integral domains will be covered. Lastly, finite and infinite fields will be discussed. Prerequisite: MATH295.

MATH 451
3.00 cr.
Abstract Algebra

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.

MATH 460
4.00 cr.
Partial Differential Equations

The primary topics of this course include Fourier series, Sturm-Liouville and boundary value problems, Cauchy problems and the method of characteristics, separation of variables and Laplace transform methods. Numerical methods and selected topics are also included. Prerequisites: MATH243 and MATH260.

MATH 461
3.00 cr.
Partial Differential Equations

The primary topics of this course include Fourier series, Sturm-Liouville and boundary value problems, Cauchy problems and the method of characteristics, separation of variables and Laplace transform methods. Numberical methods and selected topics are also included. Prerequisites: MATH243 and MATH260.

MATH 470
4.00 cr.
Complex Analysis

An introduction to functions of a complex variable. Topics include the algebra and geometry of complex numbers, analytic functions, exponential and logarithmic functions, complex integration, infinite series, residues and pole, and conformal mappings. Prerequisite: MATH295.

MATH 471
3.00 cr.
Complex Analysis

An introduction to functions of a complex variable. Topics include the algebra and geometry of complex numbers, analytic functions, exponential and logarithmic functions, complex integration, infinite series, residues and pole, and conformal mappings. Prerequisite: MATH295.

MATH 480
4.00 cr.
Topics in Mathematics

A course designed to include topics outside the scope of our other course offerings. Topics may include, but are not limited to, mathematical biology, point-set and algebraic topology, graph theory, combinatorics, differential geometry, set theory, number theory, advanced linear algebra, advanced abstract algebra, and Galois theory. Prerequisite: Consent of instructor.

MATH 491
1.00 cr.
Mathematics Colloquium

A two semester capstone course intended to introduce students to topics in mathematics that are not covered in other courses. This is done through faculty and visiting professor presentations as well as student presentations of selected topics or research. Prerequisite: MATH295 or consent of instructor.

MATH 495
2.00 cr.
Senior Thesis

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 in Mathematics Colloquium. Prerequisite: Consent of instructor (senior status normally required).

MATH 499
3.00 cr.
Mathematics Internship

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 give a presentation of their internship to the Bethany community in Mathematics Colloquium. Prerequisite: Consent of mathematics internship coordinator.