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Strang- Calculus

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AP Calculus
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AP Stat
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AP Calculus
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Summer Packet

AP Calculus AB summer packet
Key- AP Calculus AB summer packet

Youtube Videos

Unit 1
Curve Fitting- AB Fall 2016- p1,2
Curve Fitting- AB Fall 2016- p3,4
Finding Limits Analytically- AB Fall 2016- p11,12
Epsilon-Delta Limit Definition- AB Fall 2016- p19
Squeeze Theorem- AB Fall 2016- p20
Squeeze Theorem continued- AB Fall 2016- p21
Logistic Function- AB Fall 2016- p22-23
Slope of Secant Line- AB Fall 2016- p24
Slope of Tangent Line- AB Fall 2016- p25
Derivative as a Rate of Change- AB Fall 2016- HW p101
Calculus- Project- Curve Fitting- Overview
Project- Curve Fitting- Google Sheets- 2nd Example
Derivative as a Limit- AB Fall 2016- p26,27

Unit 2
Derivative Shortcut Rules- AB Fall 2016- p31,32
Derivatives and Motion Problems- AB Fall 2016- p35
Product, Quotient Rules-AB Fall 2016- p38,39
Product, Quotient Rules-AB Fall 2016- p40
Proof of Product Rule by Limit Definition
Trig Derivatives- AB Fall 2016- p41
Chain Rule- AP Calc notes- p49-52
Chain Rule Multiple Choice- AP Calc notes- p53-55
Exponential e and Natural Log Derivatives- AP Calc notes- p61,64
prgmAVGRATE
prgmPASCAL2.0-TI84
Ditch the last line "ClrAllLists". To access list of coefficients, select: STAT then EDIT and scroll to column L4

Unit 3
Implicit Differentiation- AB Fall 2016- p69-71
Implicit Activity- AB Fall 2016- p72
Lesson- Log Differentiation
Review- Inverse Trig Functions
Inverse Trig Derivatives- AB Fall 2016- p75,76
L'Hopital's Rule- AB Fall 2016- p80

Unit 4
Extrema on an interval- AB Fall 2016- p86-88
Rolle's Theorem and MVT- AB Fall 2016- p89
First derivative test- AB Fall 2016- p90-91
Second derivative test- AB Fall 2016- p92-93
Curve Sketching- AB Fall 2016- p94
Lesson- Curve Sketching
Optimization- AB Fall 2016- p96

Unit 5
Linearization- AB Fall 2016- p107-109
Newton's Method- AB Fall 2016- p110-111

Unit 6
Indefinite Integrals- AP Calculus Spring 17- Integration- p1,2
Indefinite Integrals with Initial Conditions- AP Calculus Spring 17- Integration- p3
U-substitution- AP Calculus Spring 2017- Integration p5
U-substitution- AP Calculus Spring 2017- Integration p6
Slope Fields- AP Calculus Spring 2017- Integration p8
Slope Fields- AP Calculus Spring 2017- Integration p9,10
Variation in Integration- AP Calculus Spring 2017- Integration p13-15
Algebraic Substitutions- AP Calculus Spring 2017- Integration p21,22
Trig Identities- AP Calculus Spring 2017- Integration p33-35
Trig Subs- AP Calculus Spring 2017- Integration p36,37

Unit 7
Sigma Notation- AP Calculus Spring 2017- Integration p38-39
Rectangular Approximation- AP Calculus Spring 2017- Integration p42
Rectangular Approximation- AP Calculus Spring 2017- Integration p43
Rectangular Approximation- AP Calculus Spring 2017- Integration p44
Riemann Sums- AP Calculus Spring 2017- Integration p45
MRAM, Trapezoidal- AP Calculus Spring 2017- Integration p46-48
Areas and Definite Integrals- AP Calculus Spring 2017- Integration p57-59
Properties of Definite Integrals- AP Calculus Spring 2017- Integration p60-61
Areas- Net and Total- AP Calculus Spring 2017- Integration p63
Areas- Net and Total- AP Calculus Spring 2017- Integration p64
Areas- Net and Total- AP Calculus Spring 2017- Integration p66
Usub, Definite Integrals- AP Calculus Spring 2017- Integration p67
AVT- AP Calculus Spring 2017- Integration p70
2nd Fundamental Theorem of Calculus- AP Calculus Spring 2017- Integration p72-73
Area between curves- AP Calculus Spring 2017- Integration p74
Area between curves- AP Calculus Spring 2017- Integration p75
Disk Method- AP Calculus Spring 2017- Integration p78
Disk Method- AP Calculus Spring 2017- Integration p79
Washer Method- AP Calculus Spring 2017- Integration p80
Shell Method- AP Calculus Spring 2017- Integration p81

Extra Practice

Calculus 1- WCC

Review-Key- Mixed Integration
WKST- Practice- Curve Sketching
WKST-Key- Derivative Graphs and Particle Motion
Review- Newton's Method, Differentials
Wkst-Key- Integration by Substitution
WKST-Key- Integration with Substitution (transcendental)
Wkst- Key- Slope Fields
Wkst-Key- Integration with Trig Identities
Wkst- Integration with Trig Substitution
Key- Wkst- Integration with Trig Substitution


Review Sets and Keys
Key- Review- Limits, Continuity, and Differentiability
Key- Review- Exponential and Logarithmic Functions



Projects

Project- Modeling and Rates
Grade Form- Project- Modeling and Rates

Project- Related Rates
Rubric- Project- Related Rates


The AP Exam

Student Work: AP Review- 2016-2017



Link to Released AP Exam Questions
Cann's Useful Calc Links
Wonderful Website for AP Review Links!

Sample Examination III- Multiple Choice
Sample Examination IV- Multiple Choice
Sample Examination V- Multiple Choice
Sample Examination VI- Multiple Choice



AP Calculus Name:Activity- Towers of HanoiDate:_Each day for the next 10 classes, we will play the “Towers of Hanoi” in class. The purpose of doing this is to get a sense of the real world applications of mathematical modeling and limits in a somewhat entertaining way!Your final submission should be typed and emailed to me at: tcann290@gmail.com. Your responses should be in paragraph form using appropriate grammar and terminology.1. Create a table to record your results over the 10 day period2. Create a graph of your data table using appropriate software3. What model would you expect to be most appropriate for an activity of this nature? Why?4. What function-model best fits your data? How do you know?5. Does your model have a “shelf life”? How do you know?6. In what way does this activity support the concepts learned in the limit unit?7. Other observations/thoughts?