Five Applications of Max - Min Theory from Calculus (UMAP)

With this module, the student will gain further knowledge of differentiation and optimization skills. Also, the student will apply calculus techniques to obtain information from mathematical models of real world situations. By the end of this module students will be able to construct mathematical models of simple physical situations and understand the assumptions and refinements that are necessary in the construction of mathmetical models.

Table of Contents:

1. INTRODUCTION

2. A MINIMUM COST PROBLEM IN INDUSTRY

3. A MAXIMUM PROFIT PROBLEM

4. SNELL'S LAW - LIGHT REFRACTION

5. SURFACE AREA OF A BEE'S CELL

6. ARTERIAL BRANCHING

7. MODEL EXAMINATION

8. ANSWERS TO EXERCISES

9. ANSWERS FOR MODEL EXAMINATION

10. REFERENCES AND SOURCES FOR FURTHER READING