Mathematics (MAT)

This course is designed to strengthen basic mathematical skills within problem-solving contexts. This course includes the real number system, basic arithmetic and algebraic operations, algebra, equations, inequalities, financial mathematics and geometry.

This course is designed to strengthen basic mathematical skills within problem-solving contexts. This course includes the real number system, basic arithmetic and algebraic operations, algebra, equations, inequalities, financial mathematics and geometry.

Investigation and applications of appropriate mathematical subject matter drawn from algebra, combinatorics and probability, logic, statistics, financial mathematics and geometry. Requirement/Restriction: Not open to students who have received credit for MAT 104, MAT 109A, or MAT 137.

Investigation and applications of appropriate mathematical subject matter drawn from algebra, combinatorics and probability, logic, statistics, financial mathematics and geometry. Requirement/Restriction: Not open to students who have received credit for MAT 104, MAT 109A, or MAT 137. Also not open to students with an MPE score of 30 or above.

Topics in algebra selected from properties of real numbers, simplification of algebraic expressions, factoring, exponents and radicals, equations, inequalities, logarithms, functions and their graphs, systems of linear equations, applications to business and the mathematics of finance. Note: Students may have this course waived as a prereq if their background warrants it. This waiver is usually determined by the Mathematics Placement Exam.

Does not satisfy the core in Mathematics. The algebra content of this course is the same as MAT 103, Algebra, with the addition of foundational mathematics in the earlier part of the course. These additional topics include integers, fractions, decimals, percents, and proportions.

A brief review of algebra and its applications to business. Solutions to systems of linear equations and inequalities and their applications; introduction to matrix algebra and its applications. Foundations of finite probability, interpretations of probability, equally-likely outcomes, independent events, conditional probability, Bayes’ theorem; Mathematics of finance and its applications.

A brief review of algebra and its applications to business. Solutions to systems of linear equations and inequalities and their applications; introduction to matrix algebra and its applications. Foundations of finite probability, interpretations of probability, equally‐likely outcomes, independent events, conditional probability, Bayes’ theorem; Mathematics of finance and its applications.

The course focuses on the structure of modern mathematics as it is used today. It emphasizes critical thinking, arithmetic algorithms, number systems, and problem solving. Topics include: strategies of problem solving, Boolean logic, sets, relations, functions, study of the integers, rational numbers, real numbers, and introduction to mathematical computer packages.

This course is a continuation of themes of MAT 109A. Topics include the rudiments of probability, introduction to basic statistics, plane geometry, coordinate geometry, transformation geometry, measurement of plane figures, and the metric system.

Limits, continuity, derivatives of algebraic, exponential and logarithmic functions, optimization problems, introduction to integral calculus, fundamental theorem of integral calculus. Business and economic applications are stressed throughout.Restrictions/Requirements:Not open to students who have completed MAT 131

Collection, tabulation, and graphing of statistical data; measures of location and dispersion; sampling and sampling distributions; confidence intervals; hypothesis testing; correlation and regression. Business and economic applications are stressed throughout. Restrictions/Requirements: Not open to students who have completed MAT 134, 141, 143, 144 or 234.

This course in technical mathematics covers topics in algebra and geometry. Topics include: functions and their graphs, trigonometry, base conversion, logarithms, and binary sequences. A brief review of numbers and basic algebra will lead to a further and more detailed exploration of the aforementioned topics.

Pre calculus course for students who require additional mathematical background prior to taking MAT 131. Topics include logarithmic and exponential functions, trigonometric functions, trigonometric identities, solving triangles, conic sections, solving equations.Restrictions/Requirements:Not open to students who score 50 or above on the math placement exam (MPE) or who have received credit for MAT 131.

Analytic geometry, continuity, derivatives and differentials, applications to graphing and optimization problems, introduction to anti-differentiation and the definite integral.

Applications of the definite integral, techniques of integration, indeterminate forms, improper integrals, Taylor's formula, infinite series.

Introduction to the study of random processes; finite sample spaces, the role of assumptions in the formulation of probability models, probability models based on equally-likely outcomes, independent events, and conditional probability. Bayes' theorem, random variables, mathematical expectation; statistical applications of probability, introduction to sampling theory, confidence intervals and hypothesis testing.Students must fulfill the prereq or be placed into the course. Not open to students who have completed MAT 117 or MAT 234.

An introductory course in discrete mathematical structures. Selected topics chosen from set theory, number systems, logic and proofs, combinatorics and graphs, computer applications to real world problems.

This course provides a non-calculus-based introduction to statistics, with a focus on applications in the life sciences: biology, environmental science, forensic science, and health care. This course focuses on the use of statistical programming software for students who have already received credit for a statistics course but require MAT141 for their major. The focus will be on the use of statistical programming for making graphics, making data files, sampling, describing data, contingency analysis, t-tests, ANOVA, correlation, and regression.

This course provides a non-calculus based introduction to statistics, with a focus on applications in the life sciences: biology, chemistry and health care. Topics covered include data gathering, numerical and graphical data summaries, elementary probability, binomial, normal and sampling distributions, confidence intervals hypothesis testing, regression and correlation, analysis of variance, and non parametric statistics. This course includes the use of technology. MAT 141 is not open to a student who has received credit for MAT 117, MAT 134, MAT 142, MAT 143, or MAT 234. This course is only open to Dyson Science Majors.

This course is an introduction to probability and statistics designed to illustrate applications to economics and business economics. Topics include: descriptive statistics, data collection, basic probability, Bayes’ Theorem, sampling and sampling distributions; confidence intervals; hypothesis testing; correction and regression. Statistical software will be used as an integral part of this course.

A thorough introduction of regression models, including simple and multiple regression models, model assumptions and diagnostics, variable selection and model building, nonlinear regression and generalized linear models. Credit Badge: Applied Statistics Badge, Data Science.

Review of single variable regression analysis; multiple regression models; multiple, partial, and multiple-partial correlations, analysis of variance, analysis of covariance, factor analysis, discriminant analysis; applications to management, and the social, biological and behavioral sciences. Credit Badge: Applied Statistics Badge, Data Science.

MAT 225 will give a comprehensive introduction to Bayesian statistics. The three pillars of Bayesian statistics are Bayesian data analysis, multilevel models, and model comparison using information criteria. This course will discuss and demonstrate these topics with common sense and R. The focus is on using computation to realize the concepts, and applying Bayesian approach to your own research projects. Credit Badge: Applied Statistics Badge, Data Science.

The focus is on the central ideas of abstract postulate system, models of abstract postulate systems, and the mathematical model building process in connection with applications of mathematics to real world problems. Topics discussed include the nature of mathematical proof, consistency, independence of postulates, the role of assumptions in the model building process, number systems from ancient to modern times. Illustrations are chosen from the worlds of algebra and geometry.

Probability on finite sample spaces, combinatorial methods, discrete random variables, probability distributions, probability generating functions, introduction to descriptive and inferential statistics, confidence intervals, hypothesis testing, regression, and correlation. Students must fulfill the prereq or be placed into the course. Not open to students who have completed MAT 117 or MAT 134.

Vectors, polar coordinates, functions of several variables, partial differentiation, multiple integration, applications, vector analysis.

Vector spaces, matrix theory, linear transformations, rank, nullity, eigenvalues and eigenvectors. Credit Badge: Data Science

Methods of solution of ordinary differential equations; the existence and nature of solutions; Linear differential equations; introduction to partial differential equations. Fourier series and boundary value problems; applications.

This course will provide students with an opportunity to explore selected topics in the history of mathematics. Students will explore mathematical contributions from people of diverse cultures with accomplishments from both female and male mathematicians. Topics include mathematics in ancient Egypt, ancient Mesopotamia, ancient Greece, the Roman Empire, the Pre-Columbian Americas, the Islamic World, China, and India. The development of mathematics from ancient times, the Middle Ages, and throughout the 17th to 21st Centuries will be examined. The lives and contributions of individual mathematicians will be explored.

This course will treat at different times at an intermediate level one or more such topics as mathematical logic, number theory, actuarial mathematics, optimization techniques, and applied mathematics in various fields. With permission it may be taken more than once for credit.

This course is designed to strengthen basic mathematical skills within problem-solving contexts. On the completion of this course students should be competent with fractions, decimals, ratios and proportions, percents, signed numbers, triangles, logic, probability, and functions. The goal of this course is to improve the student's mathematical reasoning ability. Students will be able to apply appropriate mathematical operations to a variety of situations. The course will reinforce critical thinking skills in quantitative contexts. Students will gain cultural competencies in math and teaching as they relate to Greek culture and history.

A study of groups, rings, fields, sub and quotient structures, homomorphisms, and the role of algebra in applications.Restrictions/Requirements: Permission from the Department Chair

Geometry from Euclidean to present day. Axiomatic approach to Euclidean geometry, deficiencies in conventional geometry, finite geometry, non-Euclidean geometry, and projective geometry. Students must fulfill the prereq or request permission from the Instructor.

The course is designed as a post-calculus course addressed to students majoring in mathematics or mathematics education and pays special attention to developing the student’s ability to read and write proofs. The course covers the concepts of the real and complex numbers system, introduction to point set topology, limits, continuity, uniform continuity, differentiation and integration, sequences and series of real and complex functions. It will provide the mathematically mature and motivated undergraduate students with a solid background for further studies, deepen their understanding of calculus, and provide sound training in rigorous mathematical proof.

A direct experience in the working environment, intended to provide the student with a practical extension and enhancement of knowledge gained in class. The student has an assignment and is directed by professionals in the normal working environment. The student must also report to and consult with his or her faculty advisor who provides overall academic supervision. Restrictions/Requirements: Completion of sophomore year, recommendation of Department Chair and acceptance in a position.

With the approval of the appropriate faculty member, the department chairperson and the academic dean, students may select a topic for guided research that is not included in the regular course offerings. The student meets regularly with the faculty member to review progress. A research project or paper must also be submitted. Restrictions/Requirements: Junior standing and a minimum QPA of 3.00.

This senior capstone experience in mathematics is designed to provide mathematics majors with an integrative experience in the subject. It explores connections among the sub-disciplines of mathematics and their relation to other academic areas and applications. Students are required to complete a research project and present their findings. Class members engage in peer review of presentations.

Students will attend the six seminars given in a semester and report on the talks.

The Senior Year Capstone Experience consists of two semesters of seminars together with an associated project which, when combined, serve as an integrative experience for mathematics majors as well as a tool for departmental faculty to evaluate the extent to which students have mastered the materials and tools covered in the first three years of their undergraduate education. Moreover, it serves to hone their study and presentation skills as well as their ability to critique the work of others. This class will continue the seminars of Math 490 but will also require student to write and present a more extensive research project.