A study of the derivatives and the integrals of algebraic, transcendental and trigonometric functions. Applications of the derivative include maximum and minimum problems, science applications and graphing of functions and derivative functions. A variety of integral applications will be studied. Writing to learn and group activities are used to develop communications skills in a technical environment. Numerical and graphical solution methods, along with error analysis, are used in the above topics.
Topics encompass applications in geometry, physics, economics and biology.
A study of vectors in two and three dimensions, vector-valued functions, polar coordinate systems, derivatives and integrals of functions of more than one variable, and an introduction to vector fields. Topics include the vector product, spherical coordinate systems, partial derivatives, multiple integrals, and LaGrange multipliers. A study of differential equations and solutions, equations of first order and degree, linear differential equations, operational methods, systems of equations, existence theorems, series solutions, and applications. An exploration of a specific topic of contemporary interest in the field of mathematics. Students should consult the schedule of classes for topics offered in the current semester.