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

Winter 2010. Tentative Daily Schedule

01/04 (Mo)
Functions of Several Variables (Sec. 14.1).
01/06 (We)
Limits and Continuity
(Sec. 14.2).
01/08 (Fri)
Partial Derivatives
(Sec. 14.3).
01/11 (Mo)
Partial Derivatives
(Sec. 14.3).
01/13 (We)
Tangent Planes and Linear Approximations (Sec. 14.4).
01/15 (Fri)
The Chain Rule (Sec. 14.5).
01/18 (Mo)
NO CLASSES
01/20 (We)
Directional Derivatives and the Gradient Vector (Sec. 14.6).
01/22 (Fri)
Maximum and Minimum Values (Sec. 14.7).
01/25 (Mo)
Lagrange Multipliers
(Sec. 14.8).
01/27 (We)
Preparation for midterm 1.
01/29 (Fri)
Midterm #1.
02/01 (Mo)
Double Integrals over Rectangles (Sec. 15.1).
02/03 (We)
Iterated Integrals (Sec. 15.2).
02/05 (Fri)
Double Integrals over General Regions (Sec. 15.3).
02/08 (Mo)
Double Integrals in Polar Coordinates (Sec. 15.4).
02/10 (We)
Applications of Double Integrals (Sec. 15.5).
02/12 (Fri)
Surface Area (Sec. 15.6).
02/15 (Mo)
Triple Integrals (Sec. 15.7).
02/17 (We)
Triple Integrals in Cylindrical and Spherical Coordinates (Sec. 15.8).
02/19 (Fri)
Change of Variables in Multiple Integrals (Sec. 15.9).
02/22 (Mo)
Differential forms (Handout ).
02/24 (We)
Preparation for midterm 2.
02/26 (Fri)
Midterm #2.
03/01 (Mo)
Vector Fields (Sec. 16.1).
03/03 (We)
Line Integrals (Sec. 16.2).
03/05 (Fri)
The Fundamental Theorem for Line Integrals (Sec. 16.3).
03/08 (Mo)
Green's Theorem (Sec. 16.4).
03/10 (We)
Curl and Divergence
(Sec. 16.5).
03/12 (Fri)
Preparation for the final.