**Topical Outline:** | 1. Review of the definition of the integral, Fundamental Theorem
of Calculus.
Techniques of integration: substitution, parts, partial fractions.
2. Applications to differential equations, volumes, work, center
of mass.
3. Improper integrals, Taylor polynomials, sequences and series,
convergence,
Taylor series and applications.
4. Introduction to vectors, parametric equations, velocity and
acceleration, dot and
cross products. Kepler's laws. |