Applications of the structure of the rational number system to algorithms. Real number system, linear equations, polynomials, inequalities, systems of equations. Set theory, logic, finite systems, number sequences, counting techniques, algebra, geometry. The study of functions, systems of equations, theory of equations, sequences and series, matrices and determinants, combinatorics. An introduction to critical thinking and algebra skills necessary for the natural sciences.
Emphasis is on applications.
Exponential, logarithmic, trigonometric and inverse functions, vectors, solution of triangles, complex numbers. An introduction to some of the technology used in the practice and teaching of mathematics. Topics covered include graphing calculatrs, computer algebra systems, mathematics on the World Wide Web, and other appropriate software appliations. Mathematical induction, relations, functions, combinatorics, graph theory, trees, and finite state automata. Cartesian coordinate system, conics, parametric equations, transformation of axes, introduction to solid analytic geometry.