Math 35 - Limits - Mme McConnell's Guide for Mathemagicians

Unit 1: Precalculus and Limits

Concepts

Linear functions
Graphs of functions
Slope/Rates of Change
Tangents
Limits
Infinite sequences and series
Continuity

Organization and Procedures

Curve sketching (given conditions)
Modeling linear functions (calc)
Finding instantaneous and average velocity
Calculating slope (Rate of change)
Calculating the limit of a function
Applying the concepts of limits to infinity and asymptotes
Find the tangent to a function

Reasoning and Analysis

Estimate limits from a graph
Compare functions
Describe the continuity of a graph
Explain why sometimes the limit does not exist.

Identify mistakes
Correct mistakes
Make a personal ‘toolbox’

Expression and Communication

Describe the limit L of a function
Use vocabulary related to limits
Use proper notation for limits

Vocabulary

Proportion
Variation
Increments
Slope
Parallel
Perpendicular
Domain and range
Increasing and decreasing
Factoring and rationalizing
Instantaneous and average velocity
Rates of change
Limit
Tangent and secant lines
Continuity vs. discontinuity
Sequence and series
Convergent vs. divergent
Partial sums