Literature Elective 3 cr. Fine Arts Elective 3 cr.
- Subject
- MATH
- Credits (min)
- 4
- Credits (max)
- 4
- Credit unit
- cr.
- Type
- course
- Edition
- 2026-2027
- Source
- blc.edu
23 courses with the subject MATH, each shown exactly as we captured it from the college's catalog, with every element we hold. Where the wording looks broken, that is our reading of the catalog, not the college's text.
Literature Elective 3 cr. Fine Arts Elective 3 cr.
Required upper division courses:
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.
Choose one of the following courses:
A continuation of Calculus I emphasizing integration and its applications. Topics include definite integrals, applications to area, volume, work, and hydrostatic force, techniques of integration, improper integrals, infinite sequences and series, tests for convergence, Taylor polynomials and series, parametric equations, polar coordinates, and an introduction to vectors in the plane.
Plane and three-space vectors, vector-valued functions, partial differentiation, Lagrange multipliers, multiple integrals and vector calculus. Prerequisite: MATH152.
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.
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.
A calculus-based course covering topics of probability and statistics, including probability, random variables and probability distributions, joint probability distributions, functions of random variables, statistical inference (both estimation and hypothesis testing), analysis of variance, regression, and correlation. Prerequisite: MATH243.
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 and COMS103, or consent of instructor. BLC 2026-2027 Academic Catalog 127
A study of linear algebra, vector spaces, inner product spaces, norms, orthogonality, eigenvalues, eigenvectors, matrices, and linear transformations. Prerequisite: MATH243 or consent of instructor.
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 or consent of instructor.
The course will begin with the discoveries of ancient mathematicians such as Archimedes, Eratosthenes, and the Father of Geometry, Euclid. Advanced Euclidean geometry will be studied through rigorous deductive proof. The second half of the semester includes geometry based upon other axiomatic structures: non-Euclidean geometry, projective geometry, and fractal geometry. Prerequisite: MATH295.
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 and COMS103.
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.
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 and MATH295, or consent of the instructor.
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. Math 455 Topology (3) An introduction to topological spaces and subspaces. Fundamental properties of topological spaces such as compactness, connectedness, separation properties and countability properties. Continuity and homeomorphisms between topological spaces and common examples of topological spaces including product and quotient spaces are discussed. Prerequisite: Math 295 or consent of instructor.
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.
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: MATH493 or consent of instructor. Senior status normally required.
Source: Bethany Lutheran College's catalog, linked per course · table learning_unit · CourseShelf publish 61