This is an applied course in ordinary differential equations, which is primarily for students in the physical, behavioral and engineering sciences. Differential equations are the fundamental tools that modern science and engineering use to model physical reality. This course consists of concepts generally encountered in a first course in differential equations including a comprehensive treatment of first order differential equations employing a variety of solution techniques. A study of higher order equations, largely second order, is included with emphasis on linear equations possessing constant coefficients as well as variable coefficients. Classical and contemporary applications are included throughout coming from diverse fields such as mechanics, electrical circuits, economics and concludes with a discussion of the Laplace transform and its application to linear equations with constant coefficients.
Quantitative Methods for Management
Provides an introduction to some of the key quantitative techniques that are used in business and management today. These techniques are part of the scientific discipline known as Management Science/Operational Research. The course is designed for students to appreciate the advantages and limitations of these techniques so that they can understand where and when they can be applied in management situations. This is an essential background for many modern management roles and the skills learnt on this course will enhance an individual’s employability. Some of the techniques will make use of and extend topics in probability and statistics which were introduced in the MAT 120 and MAT 220 courses. Examples and case studies will be used in the lectures so that the applications of these techniques are appreciated.
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Calculus and Analytical Geometry I
The first three-course sequence in Calculus. Students should have access to a graphical calculator throughout the sequence of courses. Topics include: analytic geometry, functions, limits, continuity, derivatives and their applications, transcendental functions, anti-derivatives, and definite integrals.
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Calculus with Analytical Geometry II
The second of a three-course sequence in Calculus. Topics include techniques of integration, conics, polar coordinates, indeterminate forms, I’Hospitals rule, proper integrals, infinite series, parametric equations, improper integrals, vectors, volume, arc length. Surface area, work, and other applications of integration. A graphing calculator may be required in certain sections of this course.
Calculus with Analytical Geometry III
The third of a three-course sequence in Calculus. Topics include vectors in 3-space, 3-dimensional surfaces, multi-variate functions, cylindrical and spherical coordinates, multiple integrals, partial derivatives, vector fields, Green’s Theorem, and Stoke’s Theorem. A graphic calculator may be required in certain sections of this course.
Mathematical Concepts and Techniques for Business
An anthology for business majors that enriches and augments the techniques developed in MAT 120. Special attention is given to developing the topics using examples from business and employing calculators and computer packages. Topics covered include matrices and their application, an introduction to linear programming, the summation notations and an introduction to calculus applied to polynomials.
Calculus for Business
Includes the college-level skills of Calculus such as functions, graphs, limits, differentiation, integration and applications.
Statistics
A fundamental course in the application of statistics that includes descriptive statistics, probability distributions, hypothesis testing, and basic linear regression. Students will gain experience using statistical software.
Finite Mathematics
Designed to prepare students for other courses in the core curriculum and for their majors. Topics include solving equations, modeling with linear, quadratic, exponential and logarithmic functions and the mathematics of finance and probability. The use of software (EXCEL) is integrated with the curriculum.
College Algebra
A College Algebra course containing topics such as solving, graphing and applying linear and quadratic equations and inequalities; exponential and logarithmic properties; linear quadratic, rational, absolute value and square root functions; functions operations, compositions and inverses and systems of equations and inequalities, all with applications throughout the course.