MT 175 - Survey of Calculus I

Credit Hours: 4

Primarily designed for the non-engineering student who desires or requires calculus as a tool. This may include Liberal Arts, Business, Pre-Med, Pre-Pharmacy, Computer Information Systems and others. Topics include the limit, continuity and differentiability of algebraic functions; maxima and minima; introduction to integration; exponential and logarithmic functions and their differentiation and integration; and applications of differentiation and integration.

Fulfills SUNY General Education – Mathematics.

Course Outcomes
Upon completion of the course, the student will be able to:

define a function and relate this concept to graphing and modeling;
perform the fundamental operations with functions, including composites;
define a derivative using the limit concept and apply this definition to simple functions;
differentiate functions using rules and techniques of differentiation;
determine the continuity and differentiability of functions;
calculate the second derivative and apply it to a variety of problems;
interpret derivative information and apply to graphing simple polynomial and rational functions;
analyze and solve word problems involving derivatives and integrals;
interpret, graph and differentiate natural log and exponential functions;
relate exponential functions to problems in business, biology, psychology;
calculate, interpret and relate anti derivative of a function to the indefinite integral; and
calculate and interpret the definite integral.

Technology Objectives:

analyze and interpret the following based on a graphing calculator:
- finding limits of functions;
- using the calculator as a check in describing graphs of functions; and
- finding areas of a region between two curves.
using the graphing calculator in applications - ex: expon decay, compound interest, etc.

Prerequisites: MT 126 or waived from placement test or placed into degree credit math.
F/S (C, N, S)