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

5

Lab Hours

1

Course Learning Outcomes

This survey will provide students with a review of selected calculus and post-calculus topics including: single and multiple variable derivatives and integrals, series and sequences, and topics in vector calculus.

This course will also provide students with basic knowledge of ordinary differential equations, linear transformations, and complex numbers.

This course will also review topics in Linear Algebra including: eigenvectors and eigenvalues and diagonalizing matrices.

Students should be familiar with these topics and able to solve standard problem sets.  Students will also be able to apply these selected math techniques to problem sets within their individual curricula.

MA1995 is an accelerated course that occurs in 5 weeks.  These 5 weeks focus on differentiation, integration, power series, complex numbers, and linear algebra.

The syllabus for both MA1995/1996 is attached below. MA1995 occurs during the first 5 weeks and MA1996 during the second part of the quarter.