MATH6: CALCULUS BUS/SOC SC
Course Description
This course applies the fundamental principles and techniques of calculus to problems in business, economics, the life sciences and the social sciences. Topics will include limits, and differentiation and integration of linear, quadratic, polynomial, exponential and logarithmic functions. This course is not intended for students majoring in engineering, the physical sciences or math. Using a calculator is required. Graphing calculator is recommended. PREREQUISITE: Mathematics 235 or Mathematics 240 with a grade of 'C' or better.
Learning Outcomes
- Students will be able to analyze properties of quadratic functions and their graphs. Applications in business, social sciences and life sciences will be chosen to demonstrate knowledge in polynomial and rational functions.
- Students will be able to find derivatives of polynomials, rational, exponential, and logarithmic functions They will use the rules for sums as well as use product and quotient and chain rules to solve problems involving complex equations.
- Students will be able to use calculus to sketch the graph of functions using horizontal and vertical asymptotes, intercepts, and first and second derivatives to determine intervals where the function is increasing and decreasing, maximum and minimum values, intervals of concavity and points of inflection.
- Students will analyze the marginal cost, profit and revenue when given the appropriate function; determine maxima and minima in optimization problems using the derivative; use derivatives to find rates of change and tangent lines; and use calculus to analyze revenue, cost, and profit. They will apply this to applications in business, economics, and the life sciences.
- Students will be able to work with the definite integral as a limit of a sum and how it relates to the fundamental theorem of calculus.
- Students will be able to find definite and indefinite integrals by using general formulas, substitution, integration by parts, integral tables, and other integration techniques. They will use integration techniques and apply them to business and economic applications and to the life sciences.