Apr 04, 2020  
Fall 2017 Catalog 
Fall 2017 Catalog [ARCHIVED CATALOG]

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.