January 20 |
Finding formulas for functions |
- Finding formulas for linear functions
- Solving linear equations
- Calculating the intersection point of two linear functions
- Using the concept of domain and common sense to determine the domains of the pieces of a function defined in pieces
- Writing an equation for a horizontal line
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Answers for recitation activity |
January 27 |
Finding limits involving infinity |
- Graphing functions that involve exponentials
- Finding evidence for limits from graphs and tables
- Using the algebraic structure of a function to determine the limit as x becomes infinite
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Answers for recitation activity |
February 3 |
Interpreting rates of change |
- Understanding economic measures of income distribution
- Interpreting a graph showing the rate of change
- Examining the validity of political claims about America's economic crises
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Answers for recitation activity |
February 10 |
Practice at setting up problems and applications of the Chain Rule |
- Using trigonometric functions (sin, cos, tan) and Pythagoras to set up formulas
- Comprhending how physical measurements (distance, speed) can be represented using functions and derivatives
- Using the Chain Rule to relate an unknown derivative to a known derivative
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Answers for recitation activity |
February 24 |
Setting up and using Exponential Functions |
- Setting up a formula for an exponential function based on a word problem
- Alternative formulas for the growth factor in an exponential function
- Making predictions using exponential functions
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Answers for recitation activity |
March 3 |
The Law of Forgetting |
- Collating and analyzing data from a psychology experiment
- Calculating rates of change
- Creating a differential equation from data
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There are no solutions for this recitation activity - the numbers you come up with will depend on your pariticipation in the psychological experiment conducted in class from February 25 to March 2. |
March 17 |
L'Hopital's Boot Camp |
- Learning to use L'Hopital's rule to calculate limits
- Learning to recognize when (and when not) to apply L'Hopital's rule
- Manipulating limits so that L'Hopital's rule can be applied to evaluate them
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Answers for recitation activity |
March 24 |
Introduction to Constrained Optimization |
- Finding formulas using areas and volumes
- Identifying constraints and writing them as mathematical equations
- Using derivatives to find the turning points of a function
- Using the first derivative to classify the turning points as local maximums or local minimums
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Answers for recitation activity |
March 31 |
More Problems on Constrained Optimization |
- Finding formulas using areas and volumes
- Identifying constraints and writing them as mathematical equations
- Using derivatives to find the turning points of a function
- Using the first derivative to classify the turning points as local maximums or local minimums
- Using the second derivative to classify the turning points as local maximums or local minimums
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Answers for recitation activity |
April 7 |
Curve Sketching and Interpretive Dance |
- Sketching the graph of a derivative from the graph of a function
- Reconstructing the graph of a function from the graph of a derivative
- Reconstructing the graph of a function from the signs of the first and second derivatives
- Understanding the relationship between distance, velocity and acceleration
- Inventing interpretive dances to represent distance-time graphs
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Answers for recitation activity |
April 14 |
Integrating functions from the numerical, algebraic and symbolic points of view |
- Calculating approximate function values using Euler's method
- Sketching the graph of a function from the graph of a derivative
- Finding a formula for an antiderivative
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Answers for recitation activity |
April 21 |
Additional practice setting up and solving word problems |
- Setting up related rates problems
- Solving related rates problems
- Setting up optimization problems
- Solving optimization problems
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You really need to attend this recitation to receive the benefit |