Calculus – Mathematics 100
Brown University – Fall, 2010
Detailed Syllabus
| Sections | Topic |
| Ch. 2 and 3 | Introduction, review of limits, derivatives, slope |
| 3.7, 3.8 | Derivatives of inverse functions, logs, trig |
| 4.6 | L'Hopital's rule |
| 4.8 | Antiderivatives and indefinite integrals |
| 5.5 | Techniques of integration &mdash substitution |
| 5.2–5.4 | Definite integrals, fundamental theorems of calculus |
| 6.1 | Volumes of revolution |
| 6.3 | Arc length of curves |
| 6.4 | Area of surfaces of revolution |
| 6.5 | Exponential change, separable differential equations |
| 6.6 | Work |
| 7.1, 7.4, 7.5 | Techniques of integration — integration by parts, partial fractions, integral tables |
| 7.6 | Numerical integration |
| 7.7 | Improper integrals |
| 8.1, 8.2 | Sequences and series |
| 8.3–8.5 | Convergence tests |
| 8.6 | Alternating series |
| 8.7–8.9 | Power series and Taylor series |
| 15.1–15.4 | First-order differential equations |
| 16.1–16.2 | Second-order differential equations |
| 16.5 | Power series solutions to differential equations |
| 9.1, 9.2, 9.4 | Polar coordinates |
| 3.5 | Parametric equations |