Math 222, Course Plan

Sequences and convergence, Basic techniques for computing limits. Boundedness. Monotone convergence. Telescoping series. Geometric and harmonic series. Alternating series. Absolute convergence. Comparison and limit comparison tests. Ratio test. Root test. Integral test. p-test. Power series. Taylor and Maclaurin series.Sep 5 thru Sep 30.
Review of vector geometry. Dot and cross products. Parametric curves. Velocity. Tangent vectors. Arclength. Vector integrals. Arclength parameterization. Acceleration. Normal and binormal. Curvature formulas. Osculating circle. Components of acceleration. Ellipse. Archimedean spiral. The fundamental equations for plane curves. Torsion. Frenet-Serret equations. Torsion formula.Oct 2 thru Oct 27 not Oct 9
Multivariate functions. Limits. Continuity. Partial derivatives. Directional derivatives. Gradient. Chain rule. Higher order derivatives. Extremals and their classification. The Hessian. Lagrange multipliers.Oct 30 thru Nov 14
Double integrals. Fubini's theorem. Change of coordinates. Variable substitution. Polar coordinates. Surface area. Triple integrals, cylindrical and spherical coordinates.Nov 16 thru Nov 30
Revision.Dec 1 thru Dec 7
Important dates 
Written quiz.October 16 or 17 depending on section.
Multiple choice quiz.starts November 20 at 11: 30 am. open for 24 hours
Add/drop deadline.Sep 19
Withdrawal deadline.Oct 31