Difference between revisions of "Math 116: Essentials of Calculus"
(→Offered) 
m (moved Math 116 to Math 116: Essentials of Calculus) 
(No difference)

Latest revision as of 15:07, 3 April 2013
Contents
Catalog Information
Title
Essentials of Calculus
(Credit Hours:Lecture Hours:Lab Hours)
(1:1:0)
Offered
Fall (1st and 2nd block), Winter (1st and 2nd block), Spring, Summer
Prerequisite
Math 110
Description
This course gives a brief overview of differential calculus. Topics covered include limits, derivatives, and applications of differentiation to optimization of functions.
Desired Learning Outcomes
 Review of Algebra (4 lectures)
 Determine the graph of a line given two points, a point and a slope, the general form of a line, the slopeintercept form of a line
 Determine the slope of a line given two coordinate points, the equation of a line given the slope and a point, equation of a line given two points, and the x & yintercept of a line
 Find the secant line of a function on an interval, and use that to understand the average rate of change of a function
 Approximate the tangent line at a point, and use that to understand the instantaneous rate of change of a function
 Limits and Derivatives (4 lectures)
 Determine the limit of standard functions, e.g., polynomials, rational functions, exponentials, logarithms
 Determine the limits of more complicated functions composed of simpler functions.
 Define the derivative, take derivatives of polynomials using definition
 Derive the differentiation rules for polynomials, exponentials, logarithms
 Product, Quotient, and Chain Rules (2 lectures)
 Derive the product, quotient, and chain rules
 Use the product, quotient, and chain rules to compute complicated derivatives composed of simpler functions
 Optimization and Applications (4 lectures)
 State the derivative rules for local extreme
 Use the derivative rules to find the local extrema of a function on an interval. Then find the global maximum (or minimum) of a function on an interval
 Use the derivative to solve problems in business, e.g., maximize profits, minimize costs, etc.
 Use Newton's method for root finding to locate local extrema.
Prerequisites
Math 110
Minimal learning outcomes
Note:
This course will be taught on the block schedule, 2 hours/week for 7 weeks. The grade of pass/fail will be completely determined by the final exam. Students will need to get 80% on the exam to pass. Exams can be retaken weekly in the testing center during the semester and daily during finals (there will be multiple versions of the exam available). The purpose of this class is for the students in the business school to understand the idea of a derivative and how to use it to optimize a function.
Textbooks
Possible textbooks for this course include (but are not limited to):