Integrated Precalc/Calc I
Introduction to the theory and methods of differential calculus. Topics include functions, graphs, limits, continuity and derivatives. May not be enrolled on a pass-fail basis.
Integrated Precalc/Calc II
Introduction to applications of the derivative and the theory and applications of the definite integral. Topics include: trigonometric functions and their derivatives, applications of derivatives, antiderivatives, the definite integral and applications of the integral.
Analytic Geometry/Calculus I
First course in the standard calculus sequence. Introduction to the theory, methods, and applications of differential calculus and an introduction to the definite integral. Topics include: algebraic and trigonometric functions, limits and continuity, rules for differentiation, applications of the derivative, antiderivatives, and the definition and basic properties of the definite integral.
Analytic Geometry/Calculus II
The second course in the standard calculus sequence. An introduction to the logarithmic and exponential functions, the applications of the definite integral, techniques of integration, indeterminate forms, improper integrals, numerical methods, and infinite series.
Vectors and Matrices
Introduction to the theory of vectors and matrices. Among the topics included are: vectors, vector operations, the geometry of Euclidean space, systems of equations, matrices, matrix operations, special transformations, eigenvalues, and applications of matrix theory.
Introduction to multivariate and vector calculus. Topics include vector functions and the differential and integral calculus of functions of several variables including Green?s Theorem and Stokes? Theorem.
Introduction to the theory, methods, and applications of ordinary differential equations, including first- and higher-order differential equations, series solutions, systems, approximate methods, Laplace transforms, and phase plane analysis.
Higher Mathematics Transition
Introduction to the main ideas and proof techniques of mathematics with an emphasis on reading, writing and understanding mathematical reasoning. Among the topics covered are logic, proof techniques, sets, cardinality, combinatorial enumeration, mathematical induction, relations, functions, and others selected by the instructor.
Mathematical Models & Applictn
A selection of mathematical models using various continuous and discrete methods and having applications in business and the social and biological sciences. Included are ecological models, epidemic models, Richardson146s arms race model, and population growth models. Other topics discussed are linear programming, voting problems, and Markov chains.
This course provides a practical introduction to computational problem solving. Topics covered include floating point arithmetic, sources of error, conditioning and numerical stability, root finding, numerical linear algebra, systems of ordinary differential equations, and scientific programming.
Math & the Mouse
Exploring the mathematics and science behind Walt Disney World (WDW). Students will immerse themselves in different aspects of the operations of WDW to explore various real-world applications of mathematical sciences.