My Resume

Calculus I: This course includes a review of functions and graphs; elements of analytic geometry; limits; continuity; differentiation of algebraic, trigonometric, logarithmic, exponential, and inverse trigonometric functions; applications of the derivative; introduction to integration; and some applications of the definite integral.

Calculus II: This course includes techniques of integration, related applications, infinite series, and an advanced treatment of conics, parametric equations, and polar coordinates.

Calculus III: This course includes vector analysis, functions of several variables, partial derivatives, multiple integration, integration of vector valued functions, and applications.

Linear Algebra: This course includes an introduction to linear algebra including vector spaces, matrices, determinants, linear transformations, eigenvectors, techniques of solving systems of equations, and applications.

Differential Equations: The course is an introduction to ordinary differential equations including both quantitative and qualitative methods as well as applications from a variety of disciplines. The course introduces the theoretical aspects of differential equations, including establishing when solution(s) exist and techniques for obtaining solutions, including series solutions and singular points, Laplace transforms, and linear systems.

Discrete Structures: This course is an introduction to the discrete structures used in computer science with an emphasis on their applications. Topics covered include functions, relations, and sets; basic logic; proof techniques; basics of counting; graphs and trees; and discrete probability.