The study of functions, limits, derivatives and applications of derivatives such as maxima/minima and related rates.

Techniques for solving systems of linear equations and first, second, and higher order ordinary differential equations, including the method of the Laplace transformation. The algebra of matrices, linear transformations, determinants, vector spaces, characteristic equations, eigenvalues, eigenvectors, and applications in the physical sciences and engineering are included.

An overview of the mathematics of discrete processes. Topics include graphs, trees, linear programming, recursion and algorithm analysis.

An introduction to mathematics and mathematics problem solving, including problem selection, problem solving strategies, the problem solving process and contemporary applications of mathematics. Some emphasis on the importance of good oral and written communication skills and teamwork.

Topics studied include solution of equations by interpolation and approximation, differentiation and integration, matrices and systems of equations and solution of differential equations.