This page is meant to be both a review sheet and an outline of the semester.
Some of this information is redundant with the Department Syllabus.

1. Limits, including those involving infinity: (9 Class hours)
   Students should be able to:
1. Estimate Limits from Tables
1. Fill independent variable range appropriately
2. Fill dependent variable range appropriately and use to estimate limit
2. Estimate Limits from Graphs (provided)
3. Interpret Limits Involving Infinity by finding (from formula for function:

1. Vertical Asymptotes
2. Horizontal Asymptotes
1. Continuity: (4 Class hours)
   Students should be able to:
1. Apply What it Means
0. Evaluate Limits at continuities/removable discontinuities
2. Apply Important Consequences
0. State Intermediate Value Theorem
1. State Extreme Value Theorem: given a function and an interval, declare whether absolute extremes exist, using EVT or simple algebra.
1. x² on (-1, 1)
2. sin(t) on [π/4, π/3]
2. Derivatives
   Students should be able to:
1. Definition
0. Applying the Definition to Quadratic Functions, and cos and sin
1. When is a Function not Differentiable?
2. Applying Derivative Rules
0. Trig (also find trig values)
1. Exponential
2. Power
3. Chain
4. Inverse Trig (also find inverse trig values)
3. Proving Product Rule (using rectangle diagram provided)
0. A(x) = L(x) W(x)
1. A(x+h)-A(x) = W(x+h)[L(x+h)-L(x)] + L(x)[W(x+h)-W(x)]
2. A’(x)=L(x)W’(x)+W(x)L’(x)
4. Drawing/Reading Graphical Information
0. Limits
1. Continuity
2. Differentiability
3. Derivatives
4. Sketch Graph of f(f’) from graph of f’(f)
3. Anti-Derivatives
   Students should be able to:
1. Finding anti-derivatives and evaluating Indefinite Integrals
2. Solving Differential Equations and Initial Value Problems
4. Applications
   Students should be able to:
1. Linearization and Differentials
2. Optimization
3. Geometry of Curves
4. Position, velocity, acceleration