1. Inverse trigonometric functions. Plotting I[html] [mws]
2. Differentiating inverse trigonometric functions. Derivatives I[html] [mws]
1. Differential Equations, slope fields, and Newton's law of cooling. Derivatives II[html] [mws]
1. Estimating area with leftsum, rightsum and middlesum. Integrals I[html] [mws]
2. An application involving integrals of trigonometric functions and AM radio signals. Another activity explores integrals involving inverse trigonometric functions. Integrals II[html] [mws]
3. The Fundamental Theorem of Calculus. Integrals III[html] [mws]
4. Approximating the definite integral with the trapezoidal rule and Simpson's rule and associated error analysis.
5. Using Maple to check your work (definite integration). Integrals V[html] [mws]
6. An activity exploring integrating expressions involving a quadratic. Integrals VI[html] [mws]
7. Areas of plane regions, including a discussion of Archimedes' result on the area of a parabolic segment. Integrals VII[html] [mws]
8. Six activities on solids of revolution. Integrals VIII[html] [mws]
9. Four activities on arc-length, including one using parametric curves.. Integrals IX[html] [mws]
10. Partial fractions. Integrals X[html] [mws]
11. Integration by parts. Integrals XI[html] [mws]
12. One activity on trigonometric substitutions and another involving integrals with trigonometric integrands. Integrals XII[html] [mws]
13. One activity on reduction formulas and another involving the integrating of products of sines and cosines.
14. Monte Carlo integration Integrals XIV[html] [mws]
1. Four activities involving sequences. Sequences I[html] [mws]
2. Three activities involving recursively defined sequences, including one on Picard's method. Sequences II[html] [mws]
1. Two activities on partial sums. Series I[html] [mws]
2. An activity exploring the convergence of a series through limits of partial sums. Series II[html] [mws]
3. Two activities involving the integral test and two involving ratio and root tests. Series III[html] [mws]
4. The comparison and alternating series tests. Series IV[html] [mws]
5. Two activities estimating the remainder with the integral test. Series V[html] [mws]
6. Power Series. Series VI[html] [mws]
7. Taylor polynomials. Series VII[html] [mws]
8. Bessel functions. Series VIII[html] [mws]