Programme: BSc Accounting and BSc Management Studies
Course Title: Mathematics for Social Sciences II
Course Code: ECON 1004
Credits: 3
Level: 1
Prerequisite(s): Mathematics for Social Sciences I or Advanced Level Mathematics
Course Description
This course builds on the concepts, skills and knowledge developed from Pre-Calculus and Differential Calculus explored in Mathematics for Social Sciences 1 (ECON 1003). In this course students will further their knowledge of Differential Calculus and be introduced to Integral Calculus. Mathematical problems arising in business, real life and social sciences will be modeled and solved using these tools. They will discover the mathematical processes that are required to access the quantitative elements of Economics and Management Sciences.
Course Objectives
At the end of the course, learners will be able to:
Knowledge
1. Distinguish and identify the periodic nature of the Sine and Cosine functions by observing the graphs of each so as to guide economic forecasting.
2. Determine Radian Measure by applying the varied formulae for conversion
3. Identify the properties of limits so as to determine the continuity of functions.
4. Approximate single variable differentials using Maclaurin series.
Skills
5. Apply methods of calculus to the study of functional models in the fields of Business and Social Science.
6. Apply the methods of multi-variate calculus to the study of functions and problem solving
7. Apply L’Hopital’s rule to evaluate varying limits of function
8. Apply Taylor Series to solve problems in economics
9. Use the Mean Value Theorem to find the derivative of single variable functions
10. Apply the Intermediate Value Theorem to determine the continuity of a function
11. Calculate the Derivative of Sine, Cosine, exponential and logarithmic functions to solve optimization problems.
12. Evaluate and apply indefinite, definite and improper integrals to calculate area under the curve.
13. Calculate the relative extrema of functions of unconstrained and constrained variables to solve maximization problems.
14. Evaluate double integrals over rectangular regions to find the volume of functions.
15. Compute Partial Differentiation, Total Differentials and Approximate Changes, Implicit Differentiation and the Chain Rule to facilitate optimization.
16. Use Optimization techniques to solve real world problems
Attitudes
17. Value the need for the perseverance and determination required to complete mathematical problems
18. Value mathematical understanding and thinking in solving problems in the social and economic world.
19. Support critical and independent thought through critique of reasoning in self and others.
