MATHEMATICS

This course is for those with one year of algebra, but who are not ready for MATH A115 or A118. Topics include arithmetic of signed numbers, polynomials, factoring, fractional and quadratic equations and applications. Credit from this course is not applicable to any degree program or to any math, Common Curriculum, or teacher certification requirement but will be added to normal total for student’s degree program. Students are assigned to this course based on placement test scores.

This course is intended to remediate deficiencies in the mathematics concepts needed in MATH T122. Topics include arithmetic, algebra, equations, inequalities, functions, graphing. Course credit is not applicable to any degree program, mathematics, or Common Curriculum requirement, but will be added on to the normal total for degree programs.

This course treats the fundamental concepts of mathematics for a complete understanding viewpoint required of an elementary school teacher. Concepts include number systems, counting, fundamental operations, mathematical sentences, geometric relations, and comparison. For elementary education or music education students only.

This is a continuation in the same style as that of MATH A113. Topics include rational numbers, measurements, decimals, computer literacy, probability, area, volume, models, signed numbers, and more geometry. The course is open to students in elementary education or music education programs.

This course is designed to give social science and business administration students an introduction to the necessary analytic and quantitative tools in mathematics. Topics include elementary matrix theory and linear programming, life science models, and an introduction to probability.

This course includes techniques in the calculus of algebraic, exponential, and logarithmic functions of one and two variables as met in the application fields of business, political science, and other social science fields.

This course is designed to introduce the topics of college algebra. The course focuses on a conceptual understanding of the subject and includes a number of applications of algebra. Following a contemporary approach to mathematics education, this course includes exploration of real-world problems, group discussion of problems, and technological exploration of concepts with an emphasis on mathematical reasoning and communication.

This course offers more preparation for those students who plan on taking calculus, but find themselves deficient in second-year high school algebra and trigonometry. Exponential, logarithmic, and trigonometric functions are included.

This course is designed to introduce topics in matrix algebra for applications that are basic to future coursework. Vector spaces, determinants, matrices, linear transformations, and eigenvectors are included.

Prerequisite: high school Algebra II.

This is a course that bridges infinitesimal calculus and the world of sets, relations, digraphs, lattices, logic, etc. Topics include algebraic flow chart language, syntax and semantics, isomorphisms and invariants, directed graphs, Boolean algebra, permutations and cyclic groups, polish expressions, etc.

Prerequisite: high school Algebra II.

This course introduces statistical applications in the fields of business administration, social sciences, and education. Topics include describing, sets of measurements, discrete probabilities, normal distributions, statistical inference, special distributions, decision making under uncertainty, quality control, linear regression, etc.

Continuation of MATH A241.

Prerequisite: MATH A241.

This is a beginning course in the calculus of one variable and analytic geometry. The concept of limits and their use in differential and integral calculus, max and min values of functions, and solving for areas and volumes are treated.

Prerequisites: high school algebra (two years), geometry, trigonometry.

Topics include the Mean Value Theorem and its applications, applications of the integral, transcendental functions, techniques of integration, sequences and series, and conic sections.

Prerequisite: MATH A257.

This course addresses the calculus of several variables and vector analysis. Topics include differentiation of vector valued functions, extreme values, Lagrange multipliers, multiple integration, line and surface integrals, and an introduction to vector fields.

Prerequisites: MATH A200, A258.

This is a first course in statistical methods for science students. Emphasis centers on the practical application of statistical inference and estimation in the quest for scientific knowledge. Topics include exploratory data analysis, techniques for data collection, summarization, and presentation, graphical techniques and numerical measures, the role of the Normal distribution, regression and correlation analysis, confidence intervals, hypothesis testing, the analysis of variance, and distribution-free methods.

Prerequisites: MATH A257 or equivalent.

This is a first course in statistical methods for science students. Emphasis centers on the practical application of statistical inference and estimation in the quest for scientific knowledge. Topics include exploratory data analysis, techniques for data collection, summarization, and presentation, graphical techniques and numerical measures, the role of the Normal distribution, regression and correlation analysis, confidence intervals, hypothesis testing, the analysis of variance, and distribution-free methods.

Prerequisites: MATH A257 or equivalent.

This course develops the logical and mathematical foundations of computer science and provides a context for the theory by using the ideas in important applications.

Prerequisite: MATH A257 or equivalent.

Topics include fundamental methods of solving elementary differential equations. Includes exact solutions, series solutions, numerical solutions, solutions using Laplace transforms, and other topics.

Prerequisite: MATH A258.

This second course expands on topics such as vector spaces, matrices, determinants, eigenvalues, linear functionals, bilinear forms, vector geometry, and their applications.

Prerequisite: MATH A200.

This course is an introduction to nonlinear optimization problems. Topics include classical optimization based on calculus, approximation techniques, separable programming, gradient methods, and dynamic programming.

Prerequisites: MATH A200, A258, COSC A212.

Topics include divisibility, prime numbers, Euclidean algorithm, fundamental theorem of arithmetic, congruences, diophantine equations, and indices.

Prerequisite: permission of instructor.

This course introduces the theory of probability. Topics include combinatorial analysis, axioms of probability, discrete and continuous random variables, expectation, multivariate probability distributions, function of random variables, and basic limit theorems.

Prerequisite: MATH A310.

This course shows how statistics makes inferences about a population based on information from samples. Topics include estimation, hypothesis testing, linear models, and estimation by least squares. Experimental design, analysis of variance, analysis of enumerative data, and nonparametric statistics.

Prerequisites: MATH A340; permission of instructor.

The course will include foundations of geometry, congruences, parallelism, similarities, measures, coordinate systems, axiom systems for the Euclidean, and projective planes.

Prerequisite: MATH A258.

This course reviews and continues the introduction to ordinary differential equations met in MATH A310. Selected topics in partial differential equations and applications to various fields will be included.

Prerequisites: MATH A259, A310.

This is a general survey course in the concepts of algebra treating number systems, groups, rings, domains, fields, matrices over a field, elements of Galois theory, and canonical forms.

Prerequisite: MATH A200.

This course is a continuation of MATH A400.

Prerequisite: MATH A400.

This course offers a deeper look at analysis with special attention to linear methods as applied to the calculus of several variables. Topics include extrema, Jacobians, uniform continuity, line and surface integrals, differentials, integration theory, and series.

Prerequisites: MATH A259, A310.

This course is a continuation of MATH A410.

Prerequisite: MATH A410.

This course offers analytic functions, Cauchy’s integration theory, series representation, conformal mapping, analytic continuation, and Schwarz-Christoffel transformation.

Prerequisites: MATH A259, A310.

This is an advanced course in analysis of real functions through theorems credited to Cantor, Bolzano, Weierstrass, Borel, and others. Topics include uniform convergence, covering sets, almost continuous functions, and Lebesque integrals.

Prerequisite: MATH A411.

This course studies basic concepts from the topics of topological spaces, Hausdorff spaces, connectedness, metric spaces, continuous mappings, separability, compactness, and product spaces.

Prerequisite: permission of instructor.

This course is designed to illustrate the application of mathematics to one or more fields by considering the aspects of model building and to further develop theory and techniques relevant to the needs of the field. Topics include partial differential equations, Eigen functions, Green’s functions, perturbation, and approximation methods.

Prerequisites: MATH A259, A310.

Continuation of MATH A430.

Prerequisite: MATH A430.

This course focuses on the creative or productive efforts of one or more students. A special project is distinguished from a research project in its lack of the historical or experimental method and perspective characteristics of research.

Topics from various branches of mathematics will be presented, discussed, and argued by the students. By invitation only.

The research project focuses on empirical or historical investigation, culminating in a written report.

Common Curriculum: University Honors Program

The objective of this course is to present the development of mathematics in Western Civilization from a cultural, historical, and scientific perspective. The course material consists of important topics selected from the disciplines of number theory, logic, geometry, analysis, and probability theory. Not required of science or math majors.

Common Curriculum: Introductory

This course will treat the concepts of model building, model types, model construction and analysis, and practical aspects of mathematical model usage. Applications of modeling techniques will be made to everyday experiences and to larger world problems such as demographics.

Common Curriculum: Natural Sciences Modern

This course in environmental problem solving teaches students how to use relatively simple mathematical methods (often of the "back-of-the-envelope" type) to understand how planet Earth and its inhabitants interact. The problems will deal with issues such as pollution, the exhausting of fossil fuel resources, resources, and over-population.

City College

This course deals with topics such as arithmetic of signed numbers, polynomials, factoring, and fractional and quadratic equations. Students requiring mathematics review and skill building prior to enrolling in MATH C112 are advised to enroll in MATH C111. MATH C111 does not meet City College’s core math requirement.

This course examines sets and numbers; the algebra of numbers as a logical system; inequalities; absolute values and coordinate systems; functions and their graphical representation; linear and quadratic functions; polynomial functions; and complex numbers. Students needing review should enroll in MATH A111.

This course includes techniques in the calculus of algebraic, exponential, and logarithmic functions of one and two variables as met in the application fields of business and the social sciences.