MT 171 - Elements of Calculus with Technical Applications

Fulfills SUNY General Education – Mathematics.

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

• demonstrate an understanding of functions and function notation;
• identify and graph equations representing: parabola, circle, rational, and piecewise functions;
• compute limits, determine the slope of a tangent line and the derivative of a function using the delta process;
• determine the first and higher order derivative(s) of a function using the power, chain, product, and quotient rules;
• perform implicit differentiation;
• solve mechanical and electrical applications of the derivative;
• perform the lst and 2nd derivative tests, determine maximum and minimum values, points of inflection and sketch the graph of a function;
• analyze and solve maximum and minimum derivative application problems including related rates and optimization;
• determine the differential of a function and solve related problems;
• determine the indefinite integral of xⁿ and uⁿ functions, and apply these concepts to solve linear motion, series and parallel circuit problems;
• compute the definite integral of a simple function and determine area under a curve, area between curves and centroids;
• determine the derivatives of simple logarithmic functions and the anti-derivatives of simple exponential functions;
• determine volume by the method of solid of revolution (optional); and
• research a journal article from a publication in their field and prepare an abstract summarizing an application of calculus (optional).

Technology Objectives:

Students will be able to demonstrate proficiency with a graphing calculator in performing the following skills: changing modes, evaluating a function, graphing algebraic functions, finding roots of polynomials, points of intersection with axes, maximum, minimum, trace, and zoom.

Prerequisites: MT 122 or MT 126 or waived from placement test or placed into degree credit math.
F/S (N)