Mathematics (MAT)

For students who need a review of fundamental mathematics before entering college-level mathematics. Topics include fractions, decimals, ratios, and percentages; using expressions and solving equations; working with exponents; and graphing linear relationships. The course is not applicable to graduation core requirements or the major .

A review of algebraic concepts and methods. Topics include the concepts of polynomials, factoring, solving equations and word problems, rational expressions, linear and quadratic functions, exponents and radicals. Not applicable to graduation core requirements or the major. Pre-requisites: ACT 17 OR SAT 400.

This course focuses on mathematical reasoning and the solving of real-life problems, rather than on routine skills. We will use technology (calculators and/or computers) to develop a conceptual understanding of problem-solving techniques that will strengthen decision making skills. The problems to be studied will be taken from the following areas: financial mathematics, probability, and statistics.

This course will focus on mathematical reasoning and modeling of real-life problems, rather than on routine skills. Students will use technology (graphing calculators/computers) to develop a conceptual understanding of problem-solving techniques that will strengthen decision-making skills. The problems to be studied will be taken from the following areas: graphs and functions in the coordinate plane, linear equations, geometric shapes and relationships, area/volume measure and scaling. Not applicable on SCM majors.

This course will focus on mathematical reasoning and modeling of real-life problems, rather than on routine skills. Students will use technology (graphing calculators/computers) to develop a conceptual understanding of problem-solving techniques that will strengthen decision-making skills. The problems to be studied will be taken from the following areas: probability, statistics, and financial mathematics. Not applicable on SCM majors.

This course will focus on mathematical reasoning and modeling of real-life problems, rather than on routine skills. Students will use technology (graphing calculators/computers) to develop a conceptual understanding of problem-solving techniques that will strengthen decision-making skills. The problems to be studied will be taken from the following areas: probability, statistics, and financial mathematics. Not applicable on SCM majors.

Intended primarily for students majoring in elementary education, this course focuses on mathematical reasoning and problem solving. Topics include: whole numbers, integers, rational numbers, irrational numbers and the number system, arithmetic operations and number theory. Not applicable on SCM majors.

A study of calculus techniques and applications. An investigation of limits, continuity and derivatives of polynomial, rational and trigonometric functions. (A review of pre-calculus topics and trigonometric identities is included when appropriate.) Derivative techniques include power, chain, product and quotient rules as well as derivatives of trigonometric functions. Applications include optimization, implicit differentiation and related rates. Introduces the definite integral and the Fundamental Theorem of Calculus.

A study of calculus techniques and applications. An investigation of limits, continuity and derivatives of polynomial, rational and trigonometric functions. (A review of pre-calculus topics and trigonometric identities is included when appropriate.) Derivative techniques include power, chain, product and quotient rules as well as derivatives of trigonometric functions. Applications include optimization, implicit differentiation and related rates. Introduces the definite integral and the Fundamental Theorem of Calculus.

Includes limits, continuity, differentiation of simple algebraic and transcendental functions, implicit differentiation, related rates, maxima and minima problems.

Includes limits, continuity, differentiation of simple algebraic and transcendental functions, implicit differentiation, related rates, maxima and minima problems.

Covers antiderivatives, definite integrals, the calculation of areas and volumes, lengths of curves, logarithmic and exponential functions, infinite sequences and series.

This class builds on GEN101 and prepares mathematics students for GEN401. Drawing on their entire Judson experience and their particular major courses students will reflect and articulate how that experience is shaping them as whole persons. Through guided discussion and assignments, students will explore the particular way mathematics training has shaped them and will envision and articulate how the Judson experience will affect how they shape their world.

A survey of basic mathematical topics including: numeration systems, rational numbers, real numbers, complex numbers; functions; algebra and equation solving; trigonometry; area, volume, and capacity. Basic ideas will be studied and explored from an advanced perspective.

Covers descriptive statistics, counting techniques, basic rules of probability, discrete and continuous random variables, confidence intervals, hypothesis testing regression and correlation. Graphing calculators and computer software will be relied upon heavily. Lecture and Lab.

Study of algebraic properties of groups, rings, fields, and integral domains. Covers introduction to the integers, real and complex numbers, rings of polynomials over real numbers, quotient rings, isomorphisms, and homomorphisms.

An examination of plane Euclidean geometry. Additional topics covered in finite, affine and projective Euclidean, and selected non-Euclidean geometry from both the axiomatic and transformational approaches.

Introduction to sets, relations and functions, combinatories, mathematical proofs (by induction and indirect proofs); theory and application of graphs, trees, networks and circuits. Emphasis on problem solving.

Introduction to sets, relations and functions, combinatories, mathematical proofs (by induction and indirect proofs); theory and application of graphs, trees, networks and circuits. Emphasis on problem solving.

A study of multivariable calculus including vector functions, partial differentiation, multiple integrals and vector calculus.

A study of multivariable calculus including vector functions, partial differentiation, multiple integrals and vector calculus.

A study of systems of equations, matrices, determinants, vectors, vector spaces, linear transformations, eigenvalues, and eigenvectors.

A study of systems of equations, matrices, determinants, vectors, vector spaces, linear transformations, eigenvalues, and eigenvectors. Fulfills Honors Program hour requirement.

Intended for secondary mathematics education majors, this course examines the mathematical content of grades K-12 from the perspective of higher education. Student participation in class discussions as well as student presentations based on an independent examination of current literature is expected and will play a critical role in this class.

A required readings course for mathematics majors during their senior year. The readings will be taken from a faculty-approved list and written reports over all readings will be required. Each student will also compile and submit an essay reflecting how work done during their undergraduate courses in mathematics can be considered a God-ordained exploration.