Catalog Description: 
Introduction to differential calculus with the associated
analytical geometry. Completion of both MATH 109 and MATH 110 will
be equivalent of the completion of MATH 111. Meets
General Education Mathematical Sciences requirements. (Offered fall semester only.) DISCONTINUED and replaced by MATH 103 (S13)

Prerequisites: 
Two years of high school algebra.
 Algebraic skills needed to solve inequalities and
equations involving rational polynomial expressions.
 Understanding the use of variables.
 Basic properties of the real number system, including rational and irrational numbers.
 The ability to use the Cartesian plane to plot and draw graphs including the conic sections.
 Understanding exponential, logarithmic and trigonometric
functions.
 Ability to analyze functions and their graphs.

Required Course Materials: 
Larson, Hostetler and Edwards, Calculus, 9^{th} edition, Brooks/Cole, 2010

Course Coordinator: 
Douglas C. Phillippy, Ph.D., Associate Professor of Mathematics

Course Audience: 
Students majoring in mathematics, computer science, engineering,
physics, chemistry, or economics. Intended for students who
desire to have the course material for Calculus I presented at a slower pace.

Course Objectives: 
 To develop a rigorous understanding of the concept of
differentiation.
 To strengthen the student’s mathematics background by
reviewing selected precalculus topics as they are needed
in the calculus sequence.
 To enhance learning by examining geometric, numerical,
and algebraic aspects of topics taught.
 To acquire an understanding of the breadth of
mathematics by introducing applications in a wide variety
of scientific fields.
 To use the tools of Calculus to formulate and solve
multistep problems and to interpret the numerical
results.
 To develop the student’s ability to communicate
mathematical concepts through a series of written
laboratory assignments and classroom discussions.
 To select and use technology when appropriate in problem
solving.
 To develop the process of making appropriate
conjectures, finding suitable means to test those
conjectures, and drawing conclusions about their validity.

Topics: 
 Review and further development of precalculus material
including analytic geometry, functions, and trigonometry.
 Limits: A) finite and infinite, B) onesided limits, C)
continuity of functions.
 The derivative: A) slope of a tangent line, B)
difference quotient, C) derivative formulas, D) chain
rule, E) implicit differentiation.
 Applications: A) rectilinear motion, B) optimization, C)
related rates, D) differentials, E) Newton’s method, F)
curve sketching and relative extrema G) concavity and
inflection points.

