Math 254: Calculus and Analytic Geometry
(Instructor: Sergei Chmutov)

Spring 2002. Tentative Daily Schedule

04/01 (Mo)
Introduction. Functions of Several Variables (Sec. 13.1).
04/02 (Tu)
Limits and continuity (Sec. 13.2).
04/04 (Th)
Partial derivatives (Sec. 13.3).
04/05 (Fri)
Partial derivatives (Sec. 13.3).
04/08 (Mo)
The Chain Rule
(Sec. 13.4).
04/09 (Tu)
The Chain Rule
(Sec. 13.4).
04/11 (Th)
Directional derivatives and gradient
(Sec. 13.5, 13.6).
04/12 (Fri)
Quiz #1.
04/15 (Mo)
Tanget plane approximation
(Sec. 13.7).
04/16 (Tu)
Extreme values
(Sec. 13.8).
04/18 (Th)
Lagrange multipliers (Sec. 13.9).
04/19 (Fri)
Quiz #2.
04/22 (Mo)
Double integrals
(Sec. 14.1).
04/23 (Tu)
Double integrals
(Sec. 14.1).
04/25 (Th)
Review.
04/26 (Fri)
Midterm #1.
04/29 (Mo)
Double integrals in polar coordinates (Sec. 14.2).
04/30 (Tu)
Surface area
(Sec. 14.3).
05/02 (Th)
Triple integrals
(Sec. 14.4).
05/03 (Fri)
Quiz #3.
05/06 (Mo)
Triple integrals in cylindrical coordinates
(Sec. 14.5).
05/07 (Tu)
Triple integrals in spherical coordinates (Sec. 14.6).
05/09 (Th)
Change of variables in multiple integrals (Sec. 14.8).
05/10 (Fri)
Quiz #4.
05/13 (Mo)
Change of variables in multiple integrals (Sec. 14.8).
05/14 (Tu)
Vector fields
(Sec. 15.1).
05/16 (Th)
Line integrals
(Sec. 15.2)
05/17 (Fri)
Quiz #5.
05/20 (Mo)
The fundamental theorem of line integrals (Sec. 15.3).
05/21 (Tu)
Green's theorem (Sec. 15.4).
05/23 (Th)
Review.
05/24 (Fri)
Midterm #2.
05/27 (Mo)
NO CLASS
05/28 (Tu)
Surface integrals (Sec. 15.5).
05/30 (Th)
Integrals over oriented surfaces (Sec. 15.6).
05/31 (Fri)
Quiz #6.
06/03 (Mo)
Stokes's theorem (Sec. 15.7).
06/04 (Tu)
The Divergence theorem (Sec. 15.8).
06/06 (Th)
Review for final.
06/07 (Fri)
Review for final.