Includes the concepts of differential and integral calculus and applications to problems in geometry and elementary physics, including inverse functions, indeterminate forms, techniques of integration, parametric equations, polar coordinates, infinite series, including Taylor and Maclaurin series. Applications. Prerequisite: APMA 1090 or equivalent.

The study of the mathematics needed to understand and answer a variety of questions that arise in everyday financial dealings. The emphasis is on applications, including simple and compound interest, valuation of bonds, amortization, sinking funds, and rates of return on investments. A solid understanding of algebra is assumed.

Analyzes the systems of linear equations; vector spaces; linear dependence; bases; dimension; linear mappings; matrices; determinants; quadratic forms; eigenvalues; eigenvectors; orthogonal reduction to diagonal form; inner product spaces; numerical methods; geometric applications. Prerequisite: APMA 2120 or equivalent.

Analyze systems of equations, finding the best approximation to a solution; vector space of matrices and polynomials; coordinate vectors, change of coordinate system; inner product space; linear transformations between general vector spaces; approximating a trigonometric function by a polynomial.

For master's students.

For doctoral students.