Some resources for brushing up on precalculus...
 
These are my notes from the FastTrack program:
  1. Lecture 1    (with answers)    [or 4 x page format    (with answers)]
    (topics: functions; graphs; linear functions)
  2. Lecture 2    (with answers)    [or 4 x page format    (with answers)]
    (topics: quadratic functions; completion of squares; basic type of functions; transformations of functions)
  3. Lecture 3    (with answers)    [or 4 x page format    (with answers)]
    (topics: the algebra of function; composition of functions; one-to-one functions and the inverse of a function)
  4. Lecture 4    (with answers)    [or 4 x page format    (with answers)]
    (topics: exponential and logarithmic functions)
  5. Lecture 5    (with answers)    [or 4 x page format    (with answers)]
    (topics: modeling with exponential and logarithmic functions)

Tentative Course Schedule - MWF Classes (Lectures)

Date
Description
W 8/23 Lecture 1 - Brief course introdution; functions and graph of a function; transformation on functions
(Sections 1.1 and 1.2)     Lecture notes    (with answers)    [or 4 x page format    (with answers)]
F 8/25
 
Lecture 2 - Elementary functions and examples (Sections 1.1 and 1.2)    
Lecture notes    (with answers)    [or 4 x page format    (with answers)]
M 8/28 Lecture 3 - Operations on functions; composition of functions; inverse of a function and its graph
(Sections 1.2 and 1.3)    
Lecture notes    (with answers)    [or 4 x page format    (with answers)]
videos
W 8/30 Lecture 4 - Exponential and logarithmic functions (Sections 1.1 and 1.2)
Lecture notes    (with answers)    [or 4 x page format    (with answers)]
videos
F 9/1
 
 
Lecture 5 - Applications: Exponential growth and decay (Sections 1.1 and 1.2)
Lecture notes    (with answers)    [or 4 x page format    (with answers)]
videos
M 9/4 Labor Day - no class
W 9/6 Lecture 6 - Semilog and double-log plots (end of Section 1.3)   [semilog plot graph paper]
Lecture notes    (with answers)    [or 4 x page format    (with answers)]
F 9/8
 
Lecture 7 - Semilog and double-log plots (end of Section 1.3)   [doublelog plot graph paper]
Lecture notes    (with answers)    [or 4 x page format    (with answers)]
M 9/11 Lecture 8 - Exponential growth and decay/Sequences (Sections 2.1 and 2.2)
Lecture notes    (with answers)    [or 4 x page format    (with answers)]
W 9/13 Lecture 9 - Sequences (Section 2.2)
Lecture notes    (with answers)    [or 4 x page format    (with answers)]
F 9/15
 
  
Lecture 10 - Sequences (Section 2.2)
Lecture notes    (with answers)    [or 4 x page format    (with answers)]
This applet performs cobwebbing for a first-order difference equation xn+1=f(xn)
M 9/18 Lecture 11 - More population models (Section 2.3) --- optional
Lecture notes    (with answers)    [or 4 x page format    (with answers)]
This lecture is a good source of inspiration for the Final Project
     Applet: Beverton-Holt Recruitment Curve
     Applet: Discrete Logistic Equation     (1976 Nature article by Robert May)
     Applet: Ricker's Curve
T 9/19 EXAM 1, 5-7 pm
W 9/20 Lecture 12 - Limits (Section 3.1)
Lecture notes    (with answers)    [or 4 x page format    (with answers)]
This applet will help you understand the formal definition of limit.
F 9/22
 
Lecture 13 - Limits (Section 3.1); Continuity (Section 3.2)
Lecture notes    (with answers)    [or 4 x page format    (with answers)]
M 9/25 Lecture 14 - Continuity (Section 3.2)   
Which choice of the parameter c makes the function f(x) graphed in the following applet continuous for every real number? Applet: Continuity
W 9/27 Lecture 15 - Limits at infinity (Section 3.3); properties of continuous functions (Section 3.5)
Lecture notes    (with answers)    [or 4 x page format    (with answers)]
F 9/29
Lecture 16 - continuation of previous lecture
M 10/2 Lecture 17 - The Sandwich Theorem and some trigonometric limits (Section 3.4)
Lecture notes    (with answers)    [or 4 x page format    (with answers)]
W 10/4 Lecture 18 - Formal definition of the derivative (Section 4.1)
Lecture notes    (with answers)    [or 4 x page format    (with answers)]
F 10/6
 
 
 
 
Lecture 19 - The power rule, the basic rules of differentiation,
and the derivatives of polynomials (Section 4.2)   
Lecture notes    (with answers)    [or 4 x page format    (with answers)]
Which choice of the parameters a and b make the function f(x) graphed in the following applet continuous and differentiable for every real number? Applet: Differentiability vs Continuity
M 10/9 Lecture 20 - Product rule and quotient rule (Section 4.3)
Lecture notes    (with answers)    [or 4 x page format    (with answers)]
W 10/11 Lecture 21 - A first look at differential equations (Subsection 4.1.2)
Lecture notes    (with answers)    [or 4 x page format    (with answers)]
F 10/13
 
Lecture 22 - The chain rule and higher derivatives (Section 4.4)
Lecture notes    (with answers)    [or 4 x page format    (with answers)]
M 10/16 Lecture 23 - Review
T 10/17 EXAM 2, 5-7 pm
W 10/18 Lecture 24 - Implicit differentiation (Subsection 4.4.2)
Lecture notes    (with answers)    [or 4 x page format    (with answers)]
F 10/20
 
Lecture 25 - Related rates (Subsection 4.4.3)
Lecture notes    (with answers)    [or 4 x page format    (with answers)]
M 10/23 Lecture 26 - Derivatives of trigonometric functions (Section 4.5)
Lecture notes    (with answers)    [or 4 x page format    (with answers)]
W 10/25 Lecture 27 - Derivatives of exponential functions (Section 4.6)
Lecture notes    (with answers)    [or 4 x page format    (with answers)]
F 10/27
 
 
Lecture 28 - Derivatives of logarithmic functions and logarithmic differentiation
(Subsections 4.7.2 and 4.7.3)
Lecture notes    (with answers)    [or 4 x page format    (with answers)]
M 10/30 Lecture 29 - Linear approximations and error propagation (Section 4.8)
Lecture notes    (with answers)    [or 4 x page format    (with answers)]
W 11/1 Lecture 30 - Extrema and the Mean Value Theorem (Section 5.1)
Lecture notes    (with answers)    [or 4 x page format    (with answers)]
F 11/3
 
Lecture 31 - Extrema and the Mean Value Theorem (Section 5.1)
Lecture notes    (with answers)    [or 4 x page format    (with answers)]
M 11/6 Lecture 32 - Monotonicity and concavity (Section 5.2)
Lecture notes    (with answers)    [or 4 x page format    (with answers)]
W 11/8 Lecture 33 - Extrema, inflection points and graphing (Section 5.3)
F 11/10
 
Lecture 34 - Optimization (Section 5.4)
Lecture notes    (with answers)    [or 4 x page format    (with answers)]
M 11/13 Lecture 35 - Optimization (Section 5.4)
T 11/14 EXAM 3, 5-7 pm
W 11/15 Lecture 36 - L'Hôpital's rule (Section 5.5)
Lecture notes    (with answers)    [or 4 x page format    (with answers)]
F 11/17
 
 
Lecture 37 - Difference equations: Stability (Section 5.6)
Lecture notes    (with answers)    [or 4 x page format    (with answers)]
This applet performs cobwebbing for a first-order difference equation xn+1=f(xn)
M 11/20 Lecture 38 - Antiderivatives (Section 5.8)
Lecture notes    (with answers)    [or 4 x page format    (with answers)]
W 11/22 Thanksgiving Break - no class
F 11/24
 Thanksgiving Break - no class
M 11/27 Lecture 39 - Antiderivatives (Section 5.8)
Your Final Project is due today! (see Final Project)
W 11/29 Lecture 40 - The definite integral (Section 6.1)
Lecture notes    (with answers)    [or 4 x page format    (with answers)]
F 12/1
 
Lecture 41 - The definite integral (Section 6.1)
Lecture notes    (with answers)    [or 4 x page format    (with answers)]
M 12/4 Lecture 42 - The definite integral (Section 6.1)
Lecture notes    (with answers)    [or 4 x page format    (with answers)]
W 12/6 Lecture 43 - The Fundamental Theorem of Calculus (Section 6.2)
Lecture notes    (with answers)    [or 4 x page format    (with answers)]   
F 12/8
 Lecture 44 - The Fundamental Theorem of Calculus (Section 6.2)
W 12/13 FINAL EXAM, 6-8 pm