Developing the Fundamental Theorem of Calculus (UMAP)

The purpose of this module is to give students experience in: 1) computing limits of Riemann sums; 2) computing definite integrals; and 3) solving elementary area, distance, and work problems by integration.

Table of Contents:

1. INTRODUCTION

2. THREE SIMILAR PROBLEMS

3. THREE MORE SIMILAR PROBLEMS

4. RIEMANN SUMS AND THE DEFINITE INTEGRAL

5. THE FUNDAMENTAL THEOREM OF CALCULUS

6. CONCLUSION

7. ANSWERS TO EXERCISES

8. MODEL EXAM

9. ANSWERS TO MODEL EXAM