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

Winter 2005. Tentative Daily Schedule

01/03 (Mo)
Introduction.
01/04 (Tu)
Functions. Trig functions
(Sec. 2.1, 2.2, 2.3).
01/06 (Th)
Introduction to limits (Sec. 2.4).
01/07 (Fri)
WeBWorK.
01/10 (Mo)
Rigorous study of limits (Sec. 2.5).
01/11 (Tu)
Rigorous study of limits (Sec. 2.5).
01/13 (Th)
Limit theorems
(Sec. 2.6).
01/14 (Fri)
Limits involving trigonometric functions
(Sec. 2.7).
01/17 (Mo)
NO CLASSES
01/18 (Tu)
Limits at infinity, infinite limits
(Sec. 2.8).
01/20 (Th)
Continuity
(Sec. 2.9)
01/21 (Fri)
Slope of a tangent line and instantaneous velocity (Sec. 3.1).
01/24 (Mo)
The derivative
(Sec. 3.2).
01/25 (Tu)
Rules for finding derivatives
(Sec. 3.3).
01/27 (Th)
Derivatives of trigonometric functions
(Sec. 3.4).
01/28 (Fri)
The chain rule
(Sec. 3.5).
01/31 (Mo)
The chain rule
(Sec. 3.5).
02/01 (Tu)
The chain rule
(Sec. 3.5).
02/03 (Th)
Review.
02/04 (Fri)
Midterm #1.
02/07 (Mo)
Leibniz notation. Higher derivatives (Sec. 3.6, 3.7).
02/08 (Tu)
Implicit differentiation (Sec. 3.8).
02/10 (Th)
Implicit differentiation (Sec. 3.8).
02/11 (Fri)
Related rates
(Sec. 3.9).
02/14 (Mo)
Related rates
(Sec. 3.9).
02/15 (Tu)
Approximation
(Sec. 3.10).
02/17 (Th)
Maxima and minima (Sec. 4.1).
02/18 (Fri)
Maxima and minima (Sec. 4.1).
02/21 (Mo)
Monotonicity and concavity
(Sec. 4.2)
02/22 (Tu)
Local maxima and minima (Sec. 4.5)
02/24 (Th)
More max-min problems
(Sec. 4.4).
02/25 (Fri)
More max-min problems
(Sec. 4.4).
02/28 (Mo)
Sophisticated graphing (Sec. 4.6).
03/01 (Tu)
The Mean-Value Theorem (Sec. 4.7).
03/03 (Th)
Review.
03/04 (Fri)
Midterm #2.
03/07 (Mo)
L'Hopital's rule
(Sec. 9.1, 9.2)
03/08 (Tu)
Antiderivatives
(Sec. 5.1).
03/10 (Th)
Review for the final.
03/11 (Fri)
Review for the final.