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

Autumn 2003. Tentative Daily Schedule

09/22 (Mo)
NO CLASSES
09/23 (Tu)
NO CLASSES
09/25 (Th)
Introduction.
09/26 (Fri)
Functions
(Sec. 2.1, 2.2).
09/29 (Mo)
Trig functions
(Sec. 2.3).
09/30 (Tu)
Introduction to limits (Sec. 2.4).
10/02 (Th)
Rigorous study of limits (Sec. 2.5).
10/03 (Fri)
Quiz #1.
10/06 (Mo)
Limit theorems
(Sec. 2.6).
10/07 (Tu)
Limits involving trigonometric functions (Sec. 2.7).
10/09 (Th)
Limits at infinity, infinite limits. Continuity
(Sec. 2.8, 2.9).
10/10 (Fri)
Quiz #2.
10/13 (Mo)
Slope of a tangent line and instantaneous velocity (Sec. 3.1).
10/14 (Tu)
The derivative
(Sec. 3.2).
10/16 (Th)
Rules for finding derivatives (Sec. 3.3).
10/17 (Fri)
Quiz #3.
10/20 (Mo)
Derivatives of trigonometric functions (Sec. 3.4).
10/21 (Tu)
The chain rule
(Sec. 3.5).
10/23 (Th)
Review.
10/24 (Fri)
Midterm #1.
10/27 (Mo)
The chain rule
(Sec. 3.5).
10/28 (Tu)
Leibniz notation. Higher derivatives (Sec. 3.6, 3.7).
10/30 (Th)
Implicit differentiation (Sec. 3.8).
10/31 (Fri)
Quiz #4.
11/03 (Mo)
Related rates
(Sec. 3.9).
11/04 (Tu)
Related rates
(Sec. 3.9).
11/06 (Th)
Approximation
(Sec. 3.10).
11/07 (Fri)
Quiz #5.
11/10 (Mo)
Maxima and minima (Sec. 4.1).
11/11 (Tu)
NO CLASSES
11/13 (Th)
Monotonicity and concavity (Sec. 4.2)
11/14 (Fri)
Quiz #6.
11/17 (Mo)
Local maxima and minima (Sec. 4.5)
11/18 (Tu)
More max-min problems (Sec. 4.4).
11/20 (Th)
Review.
11/21 (Fri)
Midterm #2.
11/24 (Mo)
Sophisticated graphing (Sec. 4.6).
11/25 (Tu)
The Mean-Value Theorem (Sec. 4.7).
11/27 (Th)
NO CLASSES
11/28 (Fri)
NO CLASSES
12/01 (Mo)
L'Hopital's rule
(Sec. 9.1, 9.2)
12/02 (Tu)
Antiderivatives
(Sec. 5.1).
12/04 (Th)
Review for the final.
12/05 (Fri)
Review for the final.