June 23, 07

MA 105: Calculus (3-1-0-8)
Review of limits, continuity, differentiability. Mean value theorem,
Taylor's theorem, Maxima and Miinima.
Riemann integrals, Fundamental theorem of Calculus, Improper integrals,
applications to area, volume.
Convergence of sequences and series, power series.
Partial derivatives, gradient and directional derivatives, chain rule,
maxima and minima, Lagrange multipliers.
Double and triple integration, Jacobians and change of variables formula.
Parametrization of curves and surfaces, vector fields, line and surface
integrals.
Divergence and curl, Theorems of Green, Gauss and Stokes.

Text/References
1. Hughes-Hallet et al, Calculus-Single and Multivariable, 3rd ed.,
John-Wiley and Sons, 2003.
2. James Stewart, Calculus, 5th ed., Thomson, 2003.
3. T. M. Apostol, Calculus, Volumes 1 and 2, 2nd ed., Wiley Eastern, 1980.
4. G. B. Thomas and R. L. Finney, Calculus and Analytic Geometry, 9th ed.,
ISE Reprint, Addison-Wesley, 1998.