Download and View Mr. Burrill's Class Assignments and Notes

AP Calculus AB

Important Information and Resources

Unit 1 (Limits)

Section Section Resources
2.2 Limits: Numerical and Graphical Notes 1 (Limits: Numerical and Graphical) Notes 1 Video HW2: 2.2 Worksheet
2.2, 2.5 Algebraic Limits Notes 2 (Algebraic Limits) Notes 2 Video HW3: 2.5 Worksheet HW3 Worksheet Answers
2.4, 2.8 Continuity & Intermediate Value Theorem Notes 3 (Continuity & IVT) Notes 3 Video HW4: Piecewise Functions Worksheet
2.7 Infinite Limits Notes 4 (Infinite Limits) Notes 4 Video HW6: Limits to Infinity w/Answers
Limit Review Material HW7: Unit 1 Review w/Answers Extra Unit 1 Review 2 w/Answers

Unit 2 (Derivatives)

Section Section Resources
2.1 Tangent Lines Notes 5 (Tangent Lines) Notes 5 Video
3.1 Definition of the Derivative Notes 6 (Definition of the Derivative) Notes 6 Video
3.2 Power Rule Notes 7 (Power Rule) Notes 7 Video
3.3 Product and Quotient Rule Notes 8 (Product and Quotient Rule) Notes 8 Video
3.4 Rates of Change Notes 9 (Rates of Change) Notes 9 Video
3.5 Higher Derivatives Notes 10 (Higher Derivatives) Notes 10 Video
3.6 Derivatives of Trig. Functions Notes 11 (Derivatives of Trig. Functions) Notes 11 Video
3.7 Chain Rule Notes 12 (Chain Rule) Notes 12 Video
3.10 Implicit Differentiation Notes 13 (Implicit Differentiation) Notes 13 Video
Unit 2 Quiz Review HW18: Unit 2 Quiz Reviews Unit 2 Quiz Answers
3.9 Exponential and Logarithmic Differentiation Notes 14 (Log. and Expon. Differentiation) Notes 14 Video
Unit 2 Test Reviews Unit 2 Test Reviews 1 & 2 w/Answers Derivative Note Card Review w/Answers

Unit 3 (Applications of the Derivative)

Section Section Resources
Chapter 4 Textbook Solutions
4.2 Critical and Extreme Values Notes 15 (Critical and Extreme Values) Notes 15 Video
4.3 The Mean Value Theorem Notes 16 (The Mean Value Theorem) Notes 16 Video
4.4 The Shape of the Graph Notes 17 (Second Derivative Test) Notes 17 (2nd Derivative Test pdf)
Unit 3 Review Material 1 HW27: Unit 3 Review 1A,B w/Answers Curve Sketching 1 Review
Unit 3 Review Material 2 HW28: Unit 3 Review 2A,B w/Answers Curve Sketching 2 Review

Unit 4 (Derivative Applications)

Section Section Resources
Chapter 3 Textbook Solutions
3.11 Related Rates Notes 20 (Related Rates) Notes 20 Key
4.7 Optimization Notes 21 (Optimization) Notes 21 Key
Unit 4 Review Material Unit 4 Review 1 w/Answers Unit 4 Review 2 w/Answers

Unit 5 (Integrals)

Section Section Resources
Chapter 5 Textbook Solutions
3.9 Antiderivatives Notes 22 (Antiderivatives) Notes 22 Key
5.1, 5.2 Riemann Sums and The Definite Integral Notes 23 (The Definite Integral) Notes 23 Key
5.3 Fundamental Theorem of Calc. I & II Notes 24 (FTC I, II) Notes 24 Key
5.5 Net Change (PVA) Notes 25 (PVA) Notes 25 PowerPoint
5.6 Integration by Substitution Notes 26 (Integration by Substitution) Notes 26 PowerPoint
Unit 5 Review Material Unit 5 Review 1 Unit 5 Review 2

Unit 6 (Applications of Integrals)

Section Section Resources
Chapter 6 Textbook Solutions
6.1 (Areas Between Curves) 6.1 Notes (Areas Between Curves) 6.1 PowerPoint Key
6.2,6.3 (Average Value & Volume) 6.2,6.3 Notes (Average Value & Volume) 6.2,6.3 Notes Key
6.3 (Volumes Using Disks) 6.3 Notes (Volumes Using Disks) 6.3 PowerPoint Key
6.2 (Volumes Using Cross-Sections) 6.2 Notes (Cross-Sections) 6.2 Notes Key
Unit 6 Review HW: Unit 6 Review w/Answers Volumes Extra Review w/Answers Cross Sectional Extra Review w/Answers

Unit 7 (Particle Motion)

Section Section Resources

(Particle Motion)

Notes (Particle Motion) Particle Motion Notes Key HW Packet w/Answers
Unit 7 Review Particle Motion Review w/Answers

Unit 8 (Derivatives and Integrals of Exponential and Logarithmic Functions)

Section Section Resources

Logarithms Review

HW Logarithm Review Packet
8-1 (Derivatives and Integrals of Exp.) 8-1 Notes 8-1 Notes Key HW Derivatives and Integrals of Exponentials Packet
8-2 (Derivatives and Integrals of Logs.) 8-2 Notes 8-2 Notes Key HW Derivatives and Integrals of Logarithmic Functions
Unit 8 Review Material HW: Unit 8 Test Review w/Answers Unit 8 Extra Review w/Answers

Unit 9 (Differential Equations)

Section Section Resources

Slope Fields

HW Slope Fields Worksheet w/Answers
Separable Differential Equations Separable Differential Equations Notes Separable Differential Equations Notes Key HW Separable Differential Equations Worksheet

Unit 10 (More on Derivatives and Integrals)

Section Section Resources
Inverse Trig. Derivatives and Integrals Inverse Trig. Derivatives and Integrals Notes Key
L'Hospital's Rule and the Trapezoidal Rule L'Hospital and Trapezoidal Rule Notes Notes Key
Unit 10 Review Material Unit 10 Test Review w/Answers

 

Final Review

Section Section Resources
Final Review Final Exam Review w/Answers