| Chapter | Topics | Lecture hours |
| 5 |
Definite Integrals and the Fundamental Theorem of Calculus:
area under curves, Riemann sums and the definite integral, properties
of the definite integral, the Fundamental Theorem of Calculus,
the average value of a function | 8 |
| 6 |
Techniques of Integration: substitution, integration by parts,
integrals of trig functions and inverse trig substitutions, partial
fractions | 4 |
| 6 |
Improper Integrals: improper integrals and comparison
| 2 |
| 6 |
Approximate Integration: trapezoidal rule and error estimate,
Simpson's Rule
| 4 |
| 7 |
Applications of Definite Integrals: areas, volumes, arc length,
surface area, continuous probability density functions, expectation, variance,
separable first order differential equations
| 9 |
| 8 |
Parametric and Polar Curves: sketching and derivatives of parrametric
and polar curves
| 7 |
| 9 |
Infinite Series: convergence of series, comparison and integral
tests, alternating series, power series, Taylor's theorem with integral
remainder
| 8 |