MA1995 Mathematics for Scientific Engineering I

This course is taken concurrently with MA1996 (8 - 1). Descriptions of all topics in both courses are provided in this course description but half of these topics are taught in MA1996 (8 - 1). Precalculus review, complex numbers and algebra, complex plane, DeMovire's Theorem, matrix algebra, LU decomposition, Cramer's rule, eigenvalues and eigenvectors. Limits and rates of change, derivatives, rules of differentiation, extreme values, indefinite integrals, vectors in the plane, definite integrals, applications and modeling physical problems, special functions, vectors in space, partial derivatives multiple integrals, integration in vector fields, extreme values, power series, first and second-order ordinary differential equations with applications. This course was designed for Engineering students. PREREQUISITE: None.

Prerequisite

None

Corequisite

MA1996 - Mathematics for Scientific Engineering II

Lecture Hours

Lab Hours

Course Learning Outcomes

Define ordinary differential equations, linear transformations, and complex numbers.
This course will also review topics in Linear Algebra including eigenvectors, eigenvalues, and diagonalizing matrices.
Students will be able to solve standard problem sets.
Students will also be able to apply these selected math techniques to problem sets within their individual curricula.