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# 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 equivalent and appropriate mathematics level code.*
F/S (C, N, S)

*Level code is determined by Mathematics Department placement test and/or successful completion of math courses.