Below, you will find the notes and videos for the sections in Ch 1. (Click on the files below to download the notes and watch the video. Some computers can't read the writing on the Word docs, so use the pdf, if there is one.)
Standard Topics that will be graded:
1) Limits
2) Continuity
As stated by Collegeboard, you should know:
I. Functions, Graphs, and Limits
Analysis of graphs. With the aid of technology, graphs of functions are often
easy to produce. The emphasis is on the interplay between the geometric and
analytic information and on the use of calculus both to predict and to explain the
observed local and global behavior of a function.
Limits of functions (including one-sided limits)
• An intuitive understanding of the limiting process.
• Calculating limits using algebra.
• Estimating limits from graphs or tables of data.
Asymptotic and unbounded behavior
• Understanding asymptotes in terms of graphical behavior.•
Describing asymptotic behavior in terms of limits involving infinity.
• Comparing relative magnitudes of functions and their rates of change (for
example, contrasting exponential growth, polynomial growth, and logarithmic
growth).
Continuity as a property of functions
• An intuitive understanding of continuity. (The function values can be made as
close as desired by taking sufficiently close values of the domain.)
• Understanding continuity in terms of limits.
• Geometric understanding of graphs of continuous functions (Intermediate
Value Theorem and Extreme Value Theorem).