28 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.
MAT 102College Mathematics3
A nontechnical presentation of mathematical topics of interest to the student of the arts, humanities or social sciences. The following are studied: elementary set theory, logic, number systems, networks, and measurement. Applications of mathematics to various disciplines and strategies for problem solving will be emphasized. Tel-Education Course Number MATH 1103 Contemporary Math and Quantitative Reasoning
An exploration of a wide range of mathematical applications to nursing and other health sciences. Topics include ratio and proportion, dimensional analysis, systems of measurement, calculation methodologies for oral and parenteral dosage forms, and insulin and heparin intravenous calculations. Critical thinking skills for solving problems that arise in the health care professions will be emphasized. While there is no prerequisite, a working knowledge of arithmetic operations using whole numbers, fractions, decimals, and percents is expected. A scientific calculator is required.
An examination of the collection, organization, analysis and interpretation of data in the context of applications from such fields as business, education, political science, economics, psychology, sociology, nutrition and medicine. The importance of experimental design and sampling techniques are studied and stressed throughout the course. Elementary probability theory is introduced as well as the following theoretical distributions: binomial, normal, Student’s t, and chi-square. Linear regression techniques and correlation analysis are used to study bivariate populations. An algebra background is required as well as a scientific or statistical calculator.
Provides students with an ALEKS module that is personalized for the student based on the student’s score on the ALEKS entrance assessment. This course is designed primarily to prepare students for MAT 110 and MAT 140. Students will practice and develop the skills that will make them successful in these courses.
A preparation for the study of calculus with an emphasis on mathematical modeling for the sciences and other disciplines. Topics covered include exponents and radicals, polynomials, rational expressions, graphing in the coordinate plane, factoring, linear and quadratic equations, and inequalities. Functions are examined in depth both from a definitional and graphical perspective: linear and polynomial functions, composite, inverse, exponential, and logarithmic functions; their graphs and applications are discussed. Basic trigonometric functions and identities are covered as well as their applications. Properties of limits are also introduced.
Differential calculus: Functional representation, limits, continuity, the definition of a derivative, differentiation formulas, rates of change in the natural and social sciences, and optimization. Mathematical modeling and applications to various disciplines will be emphasized. The student is expected to have proficiency in basic algebra and trigonometry. Students enrolled in this course are required to register for a concurrent Calculus Recitation section.
Integral calculus: A study of definite and indefinite integrals with applications. Topics include Riemann Sums, antidifferentiation techniques, approximate integration, and improper integrals.
This core course develops problem-solving strategies and establishes a firm foundation for higher levels of mathematics. Students will gain practical knowledge by solving and applying equations to real-life situations. They will explore a variety of functions and understand how they are used to model complex phenomena (e.g. polynomial, quadratic, rational, exponential, and logarithmic). Data and trends will be summarized and visualized by creating and implementing graphs. Finally, students will feel empowered with the skills to succeed in math, science, business, and programming. A graphing calculator will need to be used to complete some of the problems in this course. If you don’t have a graphing calculator, you can use online tools s
Provides elementary education majors with experiences in becoming independent problem solvers while providing a solid foundation for teaching early mathematics. Topics include set theory, systems of numeration, number theory, properties of whole numbers, rational numbers, and real numbers, estimation, beginning geometry and measurement. Collaborative learning, discovery and refinement of presentation skills are stressed through in-class experiences.
This course serves as an introduction to the role of mathematics as a modeling tool. The modeling process, from construction of models, fitting data to models, and model verification will be discussed. Models will be written in Microsoft Excel and will span a variety of disciplines.
This course provides an introduction to vector geometry and basic linear algebra concepts. We will explore vector operations, including dot products and cross products, as well as matrix-related topics such as determinants, inversion, and solving systems of linear equations. Additionally, the course will cover linear independence and the fundamental concepts of eigenvalues and eigenvectors. NOTE: Counts Toward Math and Logic LAC Requirement. No prerequisites.
A calculus-based examination of the collection, organization, analysis and interpretation of data in the context of applications from such fields as business education, political science, economics, psychology, sociology, nutrition and medicine. The importance of experimental design and sampling techniques are studied and stressed throughout the course. Elementary probability theory and combinatorics are introduced as well as the following theoretical distributions: binomial, normal, Student’s t, and chi-square. Linear regression techniques and analysis of variance are also discussed.
Calculus III is the study of infinite sequences and series, tests for convergence, power series, Taylor and Maclaurin Series, and applications to various disciplines. Prerequisite: MAT 142.
Vector calculus is the study of how things change in multiple dimensions. In particular, multivariate calculus is the study of how single variable calculus generalizes to three space. The primary goal of this course is to establish a solid foundation of multivariate calculus. This includes mastering concepts involving partial derivatives, multiple integrals, and applications.
Provides work at the advanced level in number systems for computer arithmetic, sets and logic, combinatorics, probability, relations and functions and Boolean Algebra. The course serves as a transition to conceptual mathematical thinking, including the reading, understanding, constructing, and writing of proofs. This course must be taken in-person to satisfy the requirements for the mathematics major.
An opportunity for more advanced courses than the usual offerings in number theory, modern geometry, complex variables, real analysis, algebra, differential equations or topology, this course is given when student interest and faculty time permit. May be repeated for credit with a different topic.
Subject
MAT
Credits (min)
1
Credits (max)
3
Credit unit
credits
Type
course
Repeatable
May be repeated for credit with a different topic.
A study of Euclidean spaces, general linear spaces and inner product spaces. Topics include linear independence and dependence; bases and linear transformations; matrices and determinants with application to linear systems; change of basis; and representation of linear transformation and inner products.
A study of differential equations. Topics include first- and higher-order differential equations, modeling with differential equations, series solutions, Laplace transform, Fourier series and boundary value problems.
An introduction to the basic concepts of abstract algebra, including groups, rings and fields, congruence, and integral domains. Prerequisite: MAT 224 or permission of the instructor.
Provides the computational background needed to develop and explore mathematical research questions. Difficult and open problems in mathematics will be presented. Students will explore the thought process required to compute different kinds of mathematical problems through programs such as Maple, SageMath, and Python.
An overview of numerical methods. Topics include methods for solving equations, systems of linear equations, approximation by spline functions, Bezier curves, initial value problems, Monte Carlo methods, simulation and error analysis. Extensive use of technology, including graphing calculator methods, spreadsheet software, and computer programming in MATLAB.
A survey course in geometry for mathematics majors and minors and secondary teachers. May also be taken for general education credit by students with sufficient mathematical maturity. The first seven weeks of the course will focus on Euclidean geometry, including axiomatic structure, finite geometries, Euclidean geometry axioms, historical development and relationships between various geometries, transformations in two and three dimensions, groups of transformations, convexity, linear programming, geometry of polygons and circles, the nine-point circle, and constructions. The remainder of the course will be an introduction to non-Euclidean geometry and a study of symmetry, including Frieze patterns, wall paper patterns, rosettes, and Es
Provides advanced techniques in Combinatorics. Topics will include Graph Theory, Design Theory, Coding Theory, Game Theory, Set Theory, Algorithms, Posets, and Finite Geometry. This course will provide insight into both Pure Mathematics and Applied Mathematics, as most of these topics have direct real world applications.
An introduction to a selection of topics from number theory. Topics include divisibility, prime numbers, congruences, quadratic residues, elementary Diophantine equations, as well as the history of number theory. Major theorems that will be discussed include Euclid’s infinitude of primes, the Euclidean algorithm, the Fundamental Theorem of Arithmetic, the Chinese Remainder Theorem, Fermat’s Little Theorem, Fermat’s Last Theorem, and the Prime Number Theorem. Many of the theorems discussed will be proven rigorously.
One of MAT 211 or MAT 212, MAT 224 or permission of the instructor.
MAT 350Advanced Calculus3
This is a proof based course designed to understand the concepts used in Calculus. Topics covered include basic theorems of the field of real numbers, inequalities, sequential limits, function limits, the derivative, and the Riemann integral. Prerequisites: MAT 211, MAT 212, MAT 224 or permission of the instructor.
This course is designed for students who are interested in conducting independent research under the guidance of a Mathematics faculty member. Students participating in research are expected to read scholarly articles relevant to their original research project, conduct research, and ultimately write a scholarly article on the research conducted and present their research in a professional setting. This course may be repeated. Faculty approval is required before registration.
An individual study project, usually of one term’s duration, under the direction of one or more members of the department faculty. An outline of the proposed study plan must be submitted before the beginning of the term in which the work is to be done. Prerequisite: Permission of the instructor.
