| Week |
Topics |
| 1. Week |
Integration , sums and sigma notation, areas as limits of sums |
| 2. Week |
The definite integral, properties of the definite intgral |
| 3. Week |
The fundamental theorem of calculus |
| 4. Week |
The method of substitution, trigonometric integrals |
| 5. Week |
Areas of plane regions, chapter review |
| 6. Week |
Techniques of integrations, inverse substitutions |
| 7. Week |
Integrals of rational functions, improper integrals |
| 8. Week |
The trapezoid and midpoint rules, Simpson's rule |
| 9. Week |
Other aspects of approximate integration, chapter review |
| 10. Week |
Application of integration, volumes of solid |
| 11. Week |
Other volumes by slicing, mass, moments, centroids |
| 12. Week |
Applications in Business Finance and Economy |
| 13. Week |
Probability, conics, parametric curves |
| 14. Week |
Chapter review |