Lecture  Date  Topics covered  Remarks 

Week 1  
1  Wed Sept 26  Introduction to calculus: Achimedes'
approach to
finding the area under a parabola 

2  Fri Sept 28  Tangent lines: Descartes' and Fermat's
approach to computing the slope of the tagent line of a parabola 

Week 2  
3  Mon Oct 1  Limits at infinity; Zeno's paradox; limits at x=a; horizontal and vertical asymptotes 

4  Wed Oct 3  Limits; The Squeeze Theorem; Continuity; Intermediate Value Theorem  
5  Fri Oct 5  More on the Intermediate Value Theorem; First glance at computing derivatives  
Week 3  
6  Mon Oct 8  Derivatives  
7  Wed Oct 10  The derviative as a function  
8  Fri Oct 12  Rules for computing the derivative  
Week 4  
9  Mon Oct 15  Velocity as a derivative; the product and quotient rules  
10  Wed Oct 17  Derivative of trig and exponential functions  
11  Fri Oct 19  Composition of functions and the chain rule  
Week 5  
12  Mon Oct 22  Midterm review  Midterm 1 in Oct 23 TA section 
13  Wed Oct 24  More on chain rule; parameteric equations and their derivatives  
14  Fri Oct 26  Implicit differentiations  
Week 6  
15  Mon Oct 29  More on implicit differentiation; inverse functions;
derivatives of logarithm and inverse trigonmetric functions 

16  Wed Oct 31  Related rates  
17  Fri Nov 2  Examples of implicit differentiation  
Week 7  
18  Mon Nov 5  Logarithmic differentiation; an example of related rates; linear approximation revisted  
19  Wed Nov 7  Error approximation; local & global minimum/maximum  
20  Fri Nov 9  Finding minimum/maximum values of a function  
Week 8  
Mon Nov 12  No classVeterans Day  
21  Wed Nov 14  Local minimum/maximum; critical values  
22  Fri Nov 16  More on local minimum/maximum  
Week 9  
23  Mon Nov 19  Review  Midterm 2 in Nov 20 TA section 
24  Wed Nov 21  Discussed midterm problems; summarized what we will cover next  
Fri Nov 23  No classThanksgiving  
Week 10  
25  Mon Nov 26  L'Hopital's rule  
26  Wed Nov 28  Curve sketching  
27  Fri Nov 30  Optimization  
Week 11  
28  Mon Dec 3  Review  
29  Wed Dec 5  Review  
30  Fri Dec 7  Review  
Final  
Sat Dec 8  Final examination, 1:30  4:20 pm 