MAT 160 Pre-Calculus
Prerequisite: SAT-M score of 500 or equivalent
This course will introduce and develop competence with a variety of
mathematical concepts and techniques useful in the natural sciences,
economics, finance, and public policy analysis. Beginning with a review of
basic coordinate geometry, facility in algebraic and graphical analysis will
be extended to linear, quadratic, polynomial, rational, exponential,
logarithmic, and trigonometric functions. The latter part of the course will
develop and apply a variety of mathematical tools: systems of linear
equations and their solutions using basic matrix algebra; permutations,
combinations, and basic probability theory; infinite sequences and series;
mathematical induction; the binomial theorem. If time permits, some special
topics may be considered at the end of the semester: polar coordinates, the
complex plane, vectors, conics, etc. Emphasis throughout the course will be
placed on real world applications.
Below are the over-arching objectives for this course. Specific behavior
objectives are delineated in each module for the course.
- Students will be able to define mathematical functions and specify
their domain and range.
- Students will be able to discuss the equations and properties of
lines and circles, polynomial and rational functions, as well as graph
them and use this knowledge for the description and analysis of a
variety of real-world situations.
- Students will be able to solve a variety of algebraic equations and
inequalities and apply this skill in a variety of practical contexts.
- Students will be able to apply exponential and logarithmic functions
to the solution of a variety of problems, including calculations of
- Students will have an elementary grasp of trigonometry and its
application using right triangles to the solution of a variety of
real-world geometrical problems.
- Students will be able to find simultaneous solutions for systems of
linear equations using basic techniques of matrix algebra, and apply
this knowledge to a variety of practical problems.
- Students will be able to make practical calculations of permutations
and combinations, as well as apply elementary probability theory to a
wide range of situations and phenomena.
- Students will understand recursive definitions and be able to
construct and calculate with arithmetic and geometric sequences and
- Students will have an exemplary grounding in basic mathematical
literacy, and be well-prepared for future courses in calculus, linear
algebra, and statistics.
Alexander earned her B.A. in Applied Mathematics at Drew University and
studied industrial engineering at Rutgers University. Prior to serving as
assistant vice president at HSBC Securities from 2000 – 2005, Allison worked
as a production support analyst for Pfizer and as an electronic data systems
engineer for AT&T and ACC Communications. She currently resides in New
Jersey and works for Redeemer Presbyterian Church.