# MATH

MATH 0973.00 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 1104.00 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 1114.00 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 1123.00 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 1203.00 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: MATH110 or MATH111 or equivalent. |

MATH 1514.00 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 1524.00 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 2434.00 cr. |
Multivariable Calculus Plane and three-space vectors, vector-valued functions, partial differentiation, Lagrange multipliers, multiple integrals and vector calculus. Prerequisite: MATH152. |

MATH 2603.00 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 2953.00 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 3213.00 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 3223.00 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 3303.00 cr. |
Discrete Mathematics 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 or consent of instructor. |

MATH 3413.00 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 3513.00 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 3704.00 cr. |
College Geometry 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. |

MATH 3804.00 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 3853.00 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 3903.00 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 4443.00 cr. |
Methods in Teaching 5-12 Mathematics 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" and EDUC 496 "Student Teaching II". Prerequisites: Acceptance to Math major's Minnesota Teaching Licensure track and acceptance to education major. |

MATH 4513.00 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 4613.00 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 4713.00 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 4804.00 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 4911.00 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 4952.00 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 4993.00 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. |