Understand what calculus is and how it compares to precalculus
Understand that the tangent line problem is basic to calculus
Understand that the area problem is also basic to calculus
Estimate a limit using a numerical or graphical approach
Learn different ways that a limit can fail to exist
Study and use a formal definition of a limit
Evaluate a limit using properties of limits.
Develop and use a strategy for finding limits
Evaluate a limit using dividing out and rationalizing techniques
Evaluate a limit using the Squeeze Theorem
Determine continuity at a point and continuity on an open interval
Determine one-sided limits and continuity on a closed interval
Use properties of continuity
Understand and use the Intermediate Value Theorem
Determine infinite limits from the left and from the right.
Find and sketch the vertical asymptotes of the graph of a function