37 courses with the subject MAT, 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.
An investigation of selected mathematical topics that expand the students’ understanding of the nature and scope of mathematics, highlight the interdisciplinary characteristics of the subject, demand biblically integrative thinking, and promote creative mathematical thinking. Both semesters.
An examination of the fundamental underlying concepts of various mathematical topics. Emphasis is placed on the study of sets, number systems, operations, algebraic functions, geometry, measurement, statistics, and probability. Both semesters.
A review of algebra along with a development of polynomial, rational, exponential, and logarithmic functions. Either semester.
A development of concepts from number and operation, algebra, geometry, measurement, and data analysis and probability. This course traces the mathematical content strands from elementary understandings to those used in higher mathematics. Second semester.
An introduction to measures of central tendency, measures of dispersion, the normal distribution, statistical models, quantitative research models, and critical evaluation of statistical data. Either semester.
A preparation for Calculus I through a review of polynomial, rational, exponential, logarithmic, and trigonometric functions. Either semester.
An introduction to the mathematical principles and techniques used in managing personal finances. This course provides a practical foundation in financial literacy by covering topics including income, budgeting, loans and debt, inflation, insurance, and investments. This course is designed for students with little to no prior background in mathematics. Either semester.
An introduction to the methods of writing mathematical proofs while exploring topics in logic, set theory, group theory, and number theory. First semester.
A study of selected mathematical and scientific topics that expand a student’s understanding of the nature and scope of mathematics, engage a student in an evaluation of the philosophical foundation of science, and compel a student to think biblically about science and mathematics. Both semesters. Prerequisites & Notes Crosslisted with SCI 211.
An examination of advanced Euclidean geometry and an introduction to non-Euclidean geometries. The development of planar and solid geometry is considered through Euclid’s Elements to modern axiomatic geometry. Application of Euclidean and non-Euclidean geometries within the study of mathematics and across the liberal arts and sciences are also considered. Second semester.
A maturing from the concepts of Euclidean geometry to non-Euclidean geometries and topology. Special attention is given to the historical development and philosophical implications of multiple geometries. Either semester. Prerequisites & Notes MAT 242
An introduction to probability, measures of central tendency, measures of dispersion, the normal distribution, statistical inference, and critical evaluation of statistical data. Either semester.
An advanced examination of the theory and application of statistical analysis in research. Either semester. Prerequisites & Notes MAT 222
A graphical, numerical, and analytic development of limits, continuity, and the derivative and its applications involving polynomial, trigonometric, exponential, logarithmic, and other functions. Second semester.
A graphical, numerical, and analytic development of definite and indefinite integral, methods of integration, L’Hopital’s rule, and the application of integrals to physical phenomena. First semester. Prerequisites & Notes MAT 241
An introduction to elementary differential equations and infinite series, and an examination of the derivative and integral as applied to vectors, parametric equations, and polar coordinates. Second semester. Offered alternate years. Prerequisites & Notes MAT 242
A graphical, numerical, and analytical development of the derivative and integral as applied to the geometry of three dimensions, functions of more than one variable, partial differentiation, multiple integrals, line, and surface integrals. First semester. Offered alternate years. Prerequisites & Notes MAT 243
An examination of the foundations and proof of calculus, involving the formal definitions of sequences and series, proving various theorems of real analysis, and solving problems using real analysis. First semester. Prerequisites & Notes MAT 243.
A study of systems of linear equations, matrix algebra, determinants, vector geometry, vector spaces, and linear transformations. Either semester. Offered alternate years. Prerequisites & Notes MAT 241
An examination of projective and fractal geometries. Either semester. Prerequisites & Notes MAT 221
An introduction to the concepts of point-set topology, including the ideas of connectedness, compactness, continuity, and metric space. Either semester. Prerequisites & Notes MAT 201
An introduction to discrete mathematical topics including induction, set logic, combinatorial reasoning, counting techniques, the binomial theorem, recursively defined functions, solving recurrence relations, generating functions, finite algorithms, and graph theory. First semester. Offered alternate years. Prerequisites & Notes MAT 241
An introduction to number theory through a study of prime numbers, modular arithmetic, divisibility, numerical functions, Diophantine equations, and quadratic residues. A variety of applied topics such as cryptology, continued fractions, and perfect numbers may be explored at the discretion of the professor. Either semester. Offered alternate years. Prerequisites & Notes MAT 242
A course in which the student studies a selected mathematical topic or set of related mathematical topics that develop the student in areas not fully addressed in the available math course offerings. Offered on demand.
An examination of the historical and philosophical development of mathematics. The course emphasizes the interactions between the search for foundations of mathematics and various mathematical ideas, philosophies, religions, and cultures. Either semester.
An examination of the methods of solving differential equations. Either semester. Prerequisites & Notes MAT 243
An examination of multivariable calculus. Either semester. Prerequisites & Notes MAT 244
An introduction to the field of complex analysis. Either semester. Prerequisites & Notes MAT 244
An investigation of the scope of several different methods of mathematical modelling. Either semester. Prerequisites & Notes MAT 244 or MAT 321
A second course in the examination of the foundations and proof of calculus, involving the formal definitions of additional sequences and series and various types of integration. Either semester. Prerequisites & Notes MAT 301
An introduction to the concepts and theorems related to groups, rings, and fields. Either semester. Offered alternate years. Prerequisites & Notes MAT 242
A second course in Abstract Algebra, with a focus on rings, fields, and supplementary topics within the discipline. Either semester. Prerequisites & Notes MAT 421
A second semester in the concepts of topology, including Algebraic Systems, Banach Systems, and Hilbert Spaces. Either semester. Prerequisites & Notes MAT 324
An examination of introductory algebra, Euclidean geometry, and pre-calculus concepts from an advanced perspective. Topics include but are not limited to properties of classes of functions, analytic geometry, sets, number theoretic concepts, and mathematical modeling. First semester. Prerequisites & Notes MAT 242
A study of arithmetical functions, the gamma function, and the L function with analytic number theory. Either semester. Prerequisites & Notes MAT 332 & MAT 344
An examination of the methods of solving partial differential equations and boundary value problems. Either semester. Prerequisites & Notes MAT 342 or MAT 343
A culminating course for Mathematics majors that leads to a general synthesis of and specific research in the field of study. Both semesters. Prerequisites & Notes Graduating seniors only.
Source: Cairn University-Langhorne's catalog, linked per course · table learning_unit · CourseShelf publish 59
