Course Objectives:

1.         Differentiation of various functions used in business and social sciences applications.
2.         Application of differential calculus t business and social science settings.
3.         Integration techniques and their applications to business and social science problems.
4.         Application of multi-variable calculus to business related topics.
 

Topical Outline:

1.         Determine the limits of algebraic functions
2.         Determine the continuity of the functions
3.         Determine the average rate of change
4.         Perform differentiation using Power Rule
5.         Perform differentiation using Product Rule
6.         Perform differentiation using Quotient Rule
7.         Perform differentiation using Chain Rule
8.         Determine the Higher Derivatives
9.         Determine the equation of the tangent line at the given point
10.       Determine the derivatives of exponential function
11.       Determine the derivatives of logarithmic function
12.       Determine the equation of the tangent line at the given point
13.       Use first derivative test or second derivative test to find the maximum or minimum of the given function
14.       Use derivative to find the absolute maximum and the absolute minimum
15.       Use implicit differentiation to find the derivative
16.       Maximize the Revenue using derivatives
17.       Maximize the Profit using derivatives
18.       Integrate using basic rules
19.       Use integration by substitution
20.       Use integration by Parts
21.       Find the definite integral
22.       Find the improper integral
23.       Find the higher order partial derivatives
24.             Find the maximum and minimum of multi variable function
25.             Find the maximum and minimum of multi variable function with constraints. 
26.             Use Lagrange Multipliers