Calculus

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**Topic/Text Outline** Each section we cover in class is outlined below. Click on a link to get a .pdf version of the worksheet. Homework solutions are listed below their appropriate sections.


 * Note: Some of the answers __may__ be incorrect on the answer sheets. This happens when I change a question and do not update the attached answer key. Please let me know if this is the case so I can fix the issue.**
 * Chapter 1: Prerequisites for Calculus
 * [[file:Ch1AssignmentsCalculus.pdf|Chapter 1 Assignment Sheet]]
 * [[file:Calculus Textbook Chapter 1.pdf|Calculus Textbook Chapter 1]]
 * 1.1 Lines
 * [[file:CalculusHomework1_1.pdf|Homework 1.1]] (Mr. Dusick's work)
 * 1.2 Functions and Graphs
 * [[file:CalculusHomework1_2.pdf|Homework 1.2]] (Mr. Dusick's work)
 * [[file:Library of Functions.pdf|Basic Function Shapes to Know]]
 * Practice 1.2
 * 1.3 Exponential Functions
 * [[file:1_1 to 1_3 Practice.pdf|1.1 - 1.3 Practice Quiz]]
 * [[file:CalculusHomework1_3.pdf|Homework 1.3]] (Mr. Dusick's work) ** I did the wrong #33! Whoops! **
 * 1.5 Functions and Logarithms
 * [[file:Calculus - Section 1_5 Practice.pdf|1.5 Practice]]
 * 1.5 Practice #2
 * [[file:CalculusHomework1_5.pdf|Homework 1.5]] (Mr. Dusick's work) I did the wrong #39 too. :( Ask in class if confused.
 * 1.6 Trigonometric Functions
 * [[file:Calculus - Section 1_6 Practice.pdf|1.6 Practice]]
 * [[file:Calculus - 1_6 Inverse Trig Practice.pdf|Inverse Trig Practice]]
 * [[file:Calculus - 1.6 Practice Trig Equations.pdf|Practice Trig Equations]]
 * Calc Trig Equations Practice
 * [[file:Trig_Cheat_Sheet_Reduced.pdf|Trigonometry Cheat Sheet]]
 * Trig Graphing Practice
 * [[file:CalculusHomework1_6.pdf|Homework 1.6]] (Mr. Dusick's work)
 * [[file:Calculus Chapter 1 Practice Test.pdf|Chapter 1 Practice Test]] (older)
 * Chapter 1 Practice Test
 * Chapter 1 Practice Test 2
 * Chapter 2: Limits and Continuity
 * [[file:Ch2AssignmentsAPCalculus.pdf|Chapter 2 Assignment Sheet]]
 * [[file:Calculus Textbook Chapter 2.pdf|Calculus Textbook Chapter 2]]
 * 2.1 Rates of Change and Limits
 * [[file:Calculus Complex Fraction Practice.pdf|Complex Fraction Practice]]
 * [[file:APCalc2_1Homework.pdf|Homework 2.1]] (Mr. Dusick's work)
 * [[file:APCh2Homework2_1.pdf|Homework 2.1]] (Student's work)
 * [[file:Calculus - Evaluating Limits at Points of Continuity.pdf|Evaluating Limits at Points of Continuity]]
 * [[file:Calculus - Evaluating Limits at Jumps and Kinks.pdf|Evaluating Limits at Jumps and Kinks]]
 * [[file:Calculus - Evaluating Limits at Removable Discontinuities.pdf|Evaluating Limits at Removable Discontinuities]]
 * [[file:Calculus - Evaluating Limits at Essential Discontinuities.pdf|Evaluating Limits at Essential Discontinuities]]
 * [[file:Calculus - Mixed Limits Practice.pdf|Mixed Limits Practice]]
 * 2.2 Limits Involving Infinity
 * [[file:APCalc2_2Homework.pdf|Homework 2.2]] (Mr. Dusick's work)
 * [[file:APCh2Homework2_2.pdf|Homework 2.2]] (Student's work)
 * [[file:2_1to2_2Practice.pdf|Practice 2.1 and 2.2]]
 * [[file:Calculus - Infinite Limits Practice.pdf|Infinite Limits Practice]]
 * [[file:Calculus - 2.1 - 2.2 Mixed Limits Practice.pdf|2.1 - 2.2 Mixed Limits Practice]]
 * 2.3 Continuity
 * [[file:APCalc2_3Homework.pdf|Homework 2.3]] (Mr. Dusick's work)
 * [[file:APCh2Homework2_3.pdf|Homework 2.3]] (Student's work)
 * 2.4 Rates of Change and Tangent Lines
 * [[file:APCalc2_4Homework.pdf|Homework 2.4]] (Mr. Dusick's work)
 * [[file:APCh2Homework2_4.pdf|Homework 2.4]] (Student's work)
 * [[file:Calculus2_4Practice.pdf|2.4 Practice]]
 * [[file:APCh2ReviewHomework.pdf|Chapter 2 Review Homework]]
 * [[file:Chapter2PracticeTest.pdf|Chapter 2 Practice Test]]
 * Chapter 2 Additional Practice


 * Chapter 3: Derivatives
 * [[file:Ch3AssignmentsAPCalculus.pdf|Chapter 3 Assignment Sheet]]
 * [[file:Calculus Textbook Chapter 3.pdf|Calculus Textbook Chapter 3]]
 * 3.1 The Derivative of a Function
 * [[file:APCalc3_1Homework.pdf|Homework 3.1]] (Mr. Dusick's work)
 * [[file:Calculus3_1Practice.pdf|3.1 Practice]]
 * [[file:Calculus3_1Practice2.pdf|3.1 Practice #2]]
 * [[file:DerivativesToMemorize.pdf|Derivatives To Memorize!]]
 * 3.2 Differentiability
 * [[file:APCalc3_2Homework.pdf|Homework 3.2]] (Mr. Dusick's work)
 * [[file:Calculus3_2Practice.pdf|Differentiability Practice]]
 * 3.1 - 3.2 Practice
 * 3.3 Rules for Differentiation
 * [[file:APCalc3_3Homework.pdf|Homework 3.3]] (Mr. Dusick's work)
 * [[file:Calculus3_3Practice.pdf|Section 3.3 Practice]]
 * [[file:Calculus - 3.3 Practice Rules for Differentiation.pdf|3.3 Practice Rules for Differentiation.pdf]]
 * Derivatives Practice (3.3)
 * 3.4 Velocity and Other Rates of Change
 * [[file:APCalcHomework3_4&3_5.pdf|Homework 3.4 and 3.5]] (Mr. Dusick's work)
 * [[file:Calculus3_4Practice.pdf|3.4 Practice]]
 * More 3.4 Practice
 * 3.5 Derivatives of Trigonometric Functions
 * [[file:AP Calculus 3_1 to 3_5 Practice.pdf|3.1-3.5 Practice Quiz]]
 * [[file:Calculus3_5Practice.pdf|3.5 Practice]]
 * 3.6 Chain Rule Video
 * [[file:APCalcHomework3_6.pdf|Homework 3.6]] (Mr. Dusick's work)
 * [[file:Calculus - 3.6 Chain Rule Practice.pdf|3.6 Chain Rule Practice]]
 * [[file:Calculus I Worksheet Chain Rule.pdf|Chain Rule Practice]]
 * [[file:3_4to3_6Practice.pdf|3.4 to 3.6 Practice]]
 * [[file:shamokinmath/Calculus - Mixed Derivatives Practice.pdf|Mixed Derivatives Practice]]
 * 3.6 to 3.7 Practice Test
 * 3.7 Implicit Differentiation
 * [[file:Implicit Differentiation Worksheet.pdf|Implicit Differentiation Worksheet]]
 * [[file:APCalcHomework3_7.pdf|Homework 3.7]] (Mr. Dusick's work)
 * [[file:Implicit_differentiation_worksheet_with_answers.pdf|More Implicit Differentiation Practice]]
 * 3.8 Derivatives of Inverse Trigonometric Functions PowerPoint
 * [[file:APCalcHomework3_8.pdf|Homework 3_8]], [[file:APCalc3_8Continued.pdf|3.8 Continued]] (Mr. Dusick's work)
 * [[file:Calculus3_8Practice.pdf|3.8 Practice]]
 * 3.9 Derivatives of Exponential and Logarithmic Functions
 * [[file:Calculus AP Calculus Logarithms Practice.pdf|Logarithms Practice]]
 * [[file:APCalcHomework3_9.pdf|Homework 3.9]] (Mr. Dusick's work)
 * 3.9 Practice
 * [[file:Calculus 3.9 Differentiating Exponentials.pdf|Differentiating Exponentials Practice]]
 * [[file:Calculus Differentiating Natural Logarithms.pdf|Differentiating Natural Logarithms]]
 * [[file:Calculus - Differentiating Other Base Logarithms.pdf|Differentiating Other Base Logarithms]]
 * [[file:Calculus Chapter 3 Practice Celebration of Knowledge.pdf|Chapter 3 Practice Test]]
 * [[file:Calculus Chapter 3 Practice Celebration of Knowledge 2.pdf|Chapter 3 Practice Test #2]]
 * Chapter 4: Applications of Derivatives ** Topics in the beginning of Chapter 4 might be a little jumbled... Sorry :(
 * [[file:Ch4AssignmentsAPCalculus.pdf|Chapter 4 Assignment Sheet]]
 * [[file:Calculus Textbook Chapter 4.pdf|Calculus Textbook Chapter 4]]
 * 4.1 Extreme Values of Functions
 * [[file:APCalcHomework4_1.pdf|Homework 4.1]] (Mr. Dusick's work)
 * 4.1 Practice
 * [[file:Calculus Finding Critical Points.pdf|Finding Critical Points]]
 * [[file:Calculus - Finding Critical Points of Trig.pdf|Finding Critical Points of Trigonometric Functions]]
 * [[file:Calculus - Finding Critical Values for Trig Functions.pdf| MORE Finding Critical Values for Trig Functions]]
 * [[file:Calculus - Finding Critical Points Practice Quiz.pdf|Finding Critical Points Practice Quiz]]
 * [[file:Calculus - Finding Relative Extrema.pdf|Finding Relative Extrema]]
 * [[file:Calculus - Finding Absolute Extrema.pdf|Finding Absolute Extrema]]
 * [[file:Calculus - More Practice Finding Absolute Extrema.pdf|More Practice Finding Absolute Extrema]]
 * [[file:Calculus - Finding Absolute Extrema with Trig.pdf|Finding Absolute Extrema with Trigonometric Functions]]
 * [[file:Calculus - Absolute Extrema Practice Test.pdf|Absolute Extrema Practice Test]]
 * 4.2 Mean Value Theorem Video
 * [[file:APCalcHomework4_2.pdf|Homework 4.2]] (Mr. Dusick's work)
 * [[file:Calculus - Mean Value Theorem for Derivatives (MVTD).pdf|Mean Value Theorem for Derivatives (MVTD)]]
 * Practice 4-2
 * MVTD, Intervals, Relative Extrema Practice Test
 * 4.3 Connecting //f//' and //f//'' with the Graph of //f//
 * [[file:APCalcHomework4_3.pdf|Homework 4.3]] (Mr. Dusick's work)
 * [[file:Calculus - Finding Increasing and Decreasing Intervals.pdf|Finding Increasing and Decreasing Intervals]]
 * [[file:Calculus - Finding Inflection Points.pdf|Finding Inflection Points]]
 * [[file:Increasing DecreasingRelative Max Min Test Practice.pdf|Increasing DecreasingRelative Max Min Test Practice]]
 * [[file:Calculus - Inflection Points and Concavity Practice Quiz.pdf|Inflection Points and Concavity Practice Quiz]]
 * 4.4 Modeling and Optimizing
 * [[file:Calculus4_4Practice.pdf|4.4 Practice]]
 * [[file:CalculusHomework4_4.pdf|Homework 4.4]] (Mr. Dusick's work)
 * [[file:Easy Optimization Problems.pdf|Easy Optimization Problems]]
 * [[file:Calculus - 4.4 Medium Optimization.pdf|Medium Optimization]]
 * [[file:Calculus 4.4 Hard Optimizations Problems.pdf|Hard Optimizations Problems]]
 * [[file:Calculus - 'Extreme' Modeling and Optimization Problems.pdf|"Extreme" Modeling and Optimization Problems]]
 * 4.6 Related Rates
 * [[file:CalculusHomework4_6.pdf|Homework 4.6]] (Mr. Dusick's work)
 * [[file:Calculus - Related Rates Practice.pdf|Related Rates Practice]]
 * Additional [[file:Calculus Related Rates Practice.pdf|Related Rates Practice]]
 * And Even More Practice: [[file:Calc1500 Related Rates.pdf|Related Rates]]
 * [[file:Calculus - Chapter 4 Review.pdf|Chapter 4 Review]]
 * [[file:Calculus - Chapter 4 Review 2.pdf|Chapter 4 Review #2]]


 * Chapter 5: The Definite Integral
 * [[file:Ch5AssntsAPCalculus.pdf|Chapter 5 Assignment Sheet]]
 * [[file:Calculus Textbook Chapter 5.pdf|Calculus Textbook Chapter 5]]
 * 5.1 Estimating with Finite Sums
 * [[file:Calculus 5.1 Practice Finite Sums.pdf|5.1 Practice with Finite Sums]]
 * [[file:Calculus - 5.1 Bell Ringer Practice.pdf|Bell Ringer Practice]]
 * [[file:CalculusHomework5_1.pdf|Homework 5.1]] (Mr. Dusick's work)
 * 5.2 Definite Integrals
 * [[file:CalculusHomework5_2.pdf|Homework 5.2]] (Mr. Dusick's work)
 * [[file:Calculus 5_2 Practice2.pdf|Practice 5.2]]
 * 5.3 Definite Integrals and Antiderivatives
 * [[file:CalculusHomework5_3.pdf|Homework 5.3]] (Mr. Dusick's work)
 * [[file:Calculus - 5_3 Average Value.pdf| 5.3: Average Value]]
 * [[file:Calculus - 5_3 Evaluating Integrals Using Antiderivatives.pdf|Evaluating Integrals Using Antiderivatives]]
 * 5.3 Practice
 * [[file:Calculus - 5.3 Quiz Practice.pdf|5.3 Quiz Practice]]
 * 5.4 Fundamental Theorem of Calculus
 * [[file:Calculus Fundamental Theorem Practice.pdf|Fundamental Theorem Practice]]
 * [[file:CalculusHomework5_4.pdf|Homework 5.4]] (Mr. Dusick's work)
 * Practice 5.1 - 5.4
 * 5.5 Trapezoidal Rule
 * [[file:CalculusHomework5_5.pdf|Homework 5.5]]
 * [[file:Calculus - Trapezoidal Rule Practice.pdf|Trapezoidal Rule Practice]]
 * Worksheet on Riemann Sums and Trapezoidal Rule
 * [[file:CalculusHomework5_5.pdf|Homework 5.5]] (Mr. Dusick's work)
 * [[file:Chapter5TestPractice.pdf|Chapter 5 Practice Test]]


 * Chapter 6: Differential Equations and Mathematical Modeling
 * [[file:shamokinmath/Ch6AssignmentsAPCalculus.pdf|Chapter 6 Assignment Sheet]]
 * [[file:shamokinmath/Calculus Textbook Chapter 6.pdf|Calculus Textbook Chapter 6]]
 * 6.1 Slope Fields and Euler's Method
 * [[file:shamokinmath/CalculusHomework6_1.pdf|Homework 6.1]] (Mr. Dusick's work)
 * [[file:Calculus - Practice 6.1 Differential Equations and Slope Fields.pdf|6.1 Practice: Differential Equations and Slope Fields]]
 * 6.2 Antidifferentiation by Substitution
 * [[file:shamokinmath/Calculus - Integration Practice.pdf|Integration Practice]]
 * [[file:Evaluating Integrals Using U Substitution Practice.pdf|Evaluating Integrals Using U-Substitution Practice]] (Sorry, no answer key...)
 * [[file:Evaluating Integrals Using U Substitution Practice 2.pdf|Evaluating Integrals Using U-Substitution Practice 2]] (Sorry, no answer key...)
 * [[file:shamokinmath/CalculusHomework6_2.pdf|Homework 6.2]] (Mr. Dusick's work)
 * [[file:shamokinmath/AP Calculus - Separable Differential Equations Practice.pdf|Separable Differential Equations Practice]]
 * [[file:Calculus - 6.1 - 6.2 Practice TEST.pdf|6.1 - 6.2 Practice TEST]]
 * 6.4 Exponential Growth and Decay
 * [[file:shamokinmath/CalculusHomework6_4.pdf|Homework 6.4]] (Mr. Dusick's work) #9 has a mistake :( Can you find it?


 * Chapter 7: Applications of the Definite Integral
 * [[file:shamokinmath/Ch7AssignmentsAPCalculus.pdf|Chapter 7 Assignment Sheet]]
 * [[file:shamokinmath/Calculus Textbook Chapter 7.pdf|Calculus Textbook Chapter 7]]
 * 7.1 Integral as Net Change
 * [[file:shamokinmath/CalculusHomework7_1.pdf|Homework 7.1]] (Mr. Dusick's work)
 * 7.2 Areas in the Plane
 * [[file:shamokinmath/Calculus - Area Between Curves Practice.pdf|Area Between Curves Practice]]
 * [[file:shamokinmath/CalculusHomewok7_2.pdf|Homework 7.2]] (Mr. Dusick's work)
 * 7.3 Volumes
 * [[file:shamokinmath/Calculus - 7.3 Disk and Washer Method for Volumes.pdf|7.3 Disk and Washer Method for Volumes]]
 * Chapter 8: Sequences, L'Hopital's Rule, and Improper Integrals
 * Chapter 8 Assignment Sheet
 * Calculus Textbook Chapter 8
 * 8.2 L'Hopital's Rule
 * Practice 8.2
 * Homework 8.2
 * [[file:Calculus - Practice for Final Exam 1 (Limits and Deriv).pdf|Practice for Final Exam #1]]
 * [[file:Calculus - Practice for Final Exam 2.pdf|Practice for Final Exam #2]]
 * [[file:Calculus - Practice for Final Exam 3.pdf|Practice for Final Exam #3]]
 * [[file:Calculus - Practice Final Celebration of Knowledge.pdf|Practice Final Exam]]

**Additional Resources**
Calculus PowerPoints can be found here: [|Calculus PowerPoints] Calculus Videos, Notes, and Practice (from University of Houston): Videos, Notes, Practice