September 11, 2014

In this, the first of the five major categories of this course, the topics covered include:

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).

- Mathematics > General
- Mathematics > Calculus

- Grade 11
- Grade 12