The text referred to here is Calculus by Elliot Gootman,
published by Barron's.

Monday, June 26
Introduction. What's going on here?
Discussion of the Entrance questions.
Analytic geometry; functions.
Please read Chapter 1.

Tuesday, June 27
Trigonometry and trig functions.
Please read A1 and A2 of Appendix A.
Rates of change.
Please read 2.1 and 2.2.

Wednesday, June 28
Definition of derivative; a geometric interpretation.
Please read 2.3 and 2.4.
Limits intuitively.
Algebraic rules for limits.
Please read 3.1 and 3.2.

Thursday, June 29
Onesided limits.
More about limits needed for 0/0 (the "Squeeze Theorem").
Some special trig limits.
Please read 3.3 and 3.4.
Review problems handed out.

Monday, July 3
Continuity; the Intermediate Value Theorem.
Please read pages 60 and 61.
Discussion of review problems.
Short test.

Wednesday, July 5
Continuity and the Intermediate Value Theorem; application to root
finding.
Definition of derivative
Continuity and differentiability
Derivative of x^{n} when n is a positive integer.
Please read 3.5 and chapter 4. The sections of algebra review in
chapter 4 may be especially useful.

Thursday, July 6
The graph of f and the graph of f´
Derivative of trig functions
Algebraic combinations of derivatives
Please read 5.1, 5.2, and A.3

Monday, July 10
The chain rule
Derivative of exponentials
Please read 5.3 and B.1, B.2, B.3

Tuesday, July 11
More discussion of exponential: compound interest, etc.
Ln as the inverse to exp.
A first look at antiderivatives, and (ln)´.
Some graphs and questions
Start 6.1

Wednesday, July 12
The graphs and some reasoning supporting them
Definitions: max, min
A theorem from advanced calculus on max and min
Definitions: relative (local) max and min; critical number and point.
Local extremum point implies critical point.
Application (first view): finding max/min's.
Rolle's Theorem and Mean Value Theorem
Please read 6.1 and 6.2

Thursday, July 13
Increasing/decreasing tied to behavior of the first derivative
80 minute Exam

Monday, July 17
Graphing

Tuesday, July 18
More graphing

Wednesday, July 19
Concavity
Higher derivatives

Thursday, July 20
Graphing with concavity

Monday, July 24
L'Hopital's Rule
Vertical and horizontal asymptotes

Tuesday, July 25
Optimization, I

Wednesday, July 26
Optimization, II

Thursday, July 27
More max/min: optimization/objective/constraint etc.
Implicit differentiation
Related rates

Monday, July 31
Related rates problems
Linear approximation/tangent line approximation/marginal ...
Concavity and linear approximation

Tuesday, August 1
Implicit differentiation problems
Linear approximation problems
Outline for exam 2

Wednesday, August 2
Something different: Blood!
More review for the exam

Thursday, August 3
80 minute exam

Monday, August 7
A different problem: accumulation and Riemann sums

Tuesday, August 8
The definite integral

Wednesday, August 9
Antiderivatives

Thursday, August 10
Fundamental Theorem of Calculus
Substitution in integrals

Monday, August 14
More computations of areas
Initial value problems

Tuesday, August 15
Review for final exam

Wednesday, August 16
Three hour final exam
