Math 151: Calculus and Analytic Geometry
(Instructor: Sergei Chmutov)

Winter 2004. Tentative Daily Schedule

01/05 (Mo)
Introduction.
01/06 (Tu)
Functions
(Sec. 2.1, 2.2).
01/08 (Th)
Trig functions
(Sec. 2.3).
01/09 (Fri)
Introduction to limits (Sec. 2.4).
01/12 (Mo)
Rigorous study of limits (Sec. 2.5).
01/13 (Tu)
Limit theorems
(Sec. 2.6).
01/15 (Th)
Limits involving trigonometric functions (Sec. 2.7).
01/16 (Fri)
Quiz #1.
01/19 (Mo)
NO CLASSES
01/20 (Tu)
Limits at infinity, infinite limits. Continuity
(Sec. 2.8, 2.9).
01/22 (Th)
Slope of a tangent line and instantaneous velocity (Sec. 3.1).
01/23 (Fri)
Quiz #2.
01/26 (Mo)
The derivative
(Sec. 3.2).
01/27 (Tu)
Rules for finding derivatives (Sec. 3.3).
01/29 (Th)
Review.
01/30 (Fri)
Midterm #1.
02/02 (Mo)
Derivatives of trigonometric functions (Sec. 3.4).
02/03 (Tu)
The chain rule
(Sec. 3.5).
02/05 (Th)
The chain rule
(Sec. 3.5).
02/06 (Fri)
Quiz #3.
02/09 (Mo)
Leibniz notation. Higher derivatives (Sec. 3.6, 3.7).
02/10 (Tu)
Implicit differentiation (Sec. 3.8).
02/12 (Th)
Related rates
(Sec. 3.9).
02/13 (Fri)
Quiz #4.
02/16 (Mo)
Related rates
(Sec. 3.9).
02/17 (Tu)
Approximation
(Sec. 3.10).
02/19 (Th)
Maxima and minima (Sec. 4.1).
02/20 (Fri)
Quiz #5.
02/23 (Mo)
Monotonicity and concavity (Sec. 4.2)
02/24 (Tu)
Local maxima and minima (Sec. 4.5)
02/26 (Th)
Review.
02/27 (Fri)
Midterm #2.
03/01 (Mo)
More max-min problems (Sec. 4.4).
03/02 (Tu)
Sophisticated graphing (Sec. 4.6).
03/04 (Th)
The Mean-Value Theorem (Sec. 4.7).
03/05 (Fri)
Quiz #6.
03/08 (Mo)
L'Hopital's rule
(Sec. 9.1, 9.2)
03/09 (Tu)
Antiderivatives
(Sec. 5.1).
03/11 (Th)
Review for the final.
03/12 (Fri)
Review for the final.