|Code||Course Title / Description|
|MATH097||Intermediate Algebra 3 credits|
Foundational 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. 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.
|MATH110||Math Problem Solving 4 credits|
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.
|MATH111||College Algebra 4 credits|
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.
|MATH112||Trigonometry 3 credits|
Trigonometric functions, inverse trigonometric functions, trigonometric identities and conditional equations, solving triangles, polar coordinates, complex numbers, and analytic geometry. Prerequisite: MATH111 - College Algebra or equivalent.
|MATH120||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 or MATH111 - College Algebra or equivalent.
|MATH151||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.
|MATH152||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.
|MATH243||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.
|MATH260||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.
|MATH295||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.
|MATH321||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.
|MATH322||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.
|MATH330||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: MATH295 - Foundations of Abstract Mathematics or consent of instructor.
|MATH351||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.
|MATH370||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.
|MATH380||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. Prerequisite: MATH351 - Linear Algebra. Recommended: COMS103 - Intro to Programming I.
|MATH385||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.
|MATH390||History of Mathematics 3 credits|
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 - Foundations of Abstract Mathematics.
|MATH441||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: Math 243 and MATH 295 or consent of the instructor.
|MATH444||Methods in Teaching 5-12 Mathematics 3 credits|
This course is required for students who seek state licensure (grades 5-12) for teaching of Mathematics within the Math Department's Minnesota Teaching Licensure track. The course includes a field experience and must precede EDUC495 - Student Teaching I "Student Teaching I" and EDUC 496 "Student Teaching II". Prerequisites: Acceptance to Math major's Minnesota Teaching Licensure track and acceptance to education major.
|MATH451||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.
|MATH461||Partial Differential Equations 3 credits|
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 - Multivariable Calculus and MATH260 - Differential Equations.
|MATH471||Complex Analysis 3 credits|
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 - Foundations of Abstract Mathematics.
|MATH480||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, 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.
|MATH494||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: Senior mathematics major or consent of instructor.
|MATH495||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 in Mathematics Colloquium. Prerequisite: Consent of instructor (senior status normally required).
|MATH499||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 give a presentation of their internship to the Bethany community in Mathematics Colloquium. Prerequisite: Consent of mathematics internship coordinator.