**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]