Important Files
Gateway Exams and Projects
AB Quarter Schedules
BC Quarter Schedules
Note: Topics that are BConly are highlighted in yellow.
Summer Homework 
Prob 
Sol 

Prerequisite Content (Problems and Solutions) 



Precalculus Review (Problems and Solutions) 



Chapter 1: Limits and Their Properties 
Notes 
Video 
?s 
§1.2 Finding Limits Graphically and Numerically 



§1.3 Evaluating Limits Analytically 



§1.4 Continuity and OneSided Limits 



§1.5 Infinite Limits 



§1.6 Limits at Infinity 



Chapter 1 Homework (Problems and Solutions) 



Chapter 2: Differentiation 
Notes 
Video 
?s 
§2.1 The Derivative and the Tangent Line Problem 



§2.2 Basic Differentiation Rules and Rates of Change 



§2.3 Product and Quotient Rules and HigherOrder Derivatives 



§2.4a The Chain Rule 



§2.4b The Chain Rule 



§2.5 Implicit Differentiation 



§2.6 Derivatives of Inverse Functions 



§2.7 Related Rates 



Chapter 2 Homework (Problems and Solutions) 



Chapter 3: Applications of Differentiation 
Notes 
Video 
?s 
§3.1 Extrema on an Interval 



§3.2 Rolle's Theorem and the Mean Value Theorem 



§3.3a Increasing and Decreasing Functions 



§3.3b The First Derivative Test 



§3.4a Concavity 



§3.4b The Second Derivative Test 



§3.5 A Summary of Curve Sketching 



§3.6 Optimization Problems 



Chapter 3 Homework (Problems and Solutions) 



Chapter 4: Integration 
Notes 
Video 
?s 
§4.1 Antiderivatives and Indefinite Integration 



§4.3 Riemann Sums and Definite Integrals 



§4.4a The First Fundamental Theorem of Calculus 



§4.4b The Second Fundamental Theorem of Calculus 



§4.4c The Net Change Theorem 



§4.5 Integration by Substitution 



§4.6 The Natural Logarithmic Function: Integration 



§4.7 Inverse Trigonometric Functions: Integration 



Chapter 4 Homework (Problems and Solutions) 



Chapter 5: Differential Equations 
Notes 
Video 
?s 
§5.1a Slope Fields 



§5.1b Euler's Method 



§5.3 Separation of Variables 



§5.4 The Logistic Equation 



Chapter 5 Homework (Problems and Solutions) 



Chapter 6: Applications of Integration 
Notes 
Video 
?s 
§6.1 Area of a Region Between Two Curves 



§6.2a Volume: The Disk and Washer Methods 



§6.2b Volume: Solids with Known Cross Sections 



§6.4 Arc Length 



Chapter 6 Homework (Problems and Solutions) 



Chapter 7: Integration Techniques, L'Hôpital's Rule, and Improper Integrals 
Notes 
Video 
?s 
§7.1 Basic Integration Rules 



§7.2 Integration by Parts 



§7.5 Partial Fractions 



§7.7 Indeterminate Forms and L'Hôpital's Rule 



§7.8 Improper Integrals 



Chapter 7 Homework (Problems and Solutions) 



Chapter 8: Taylor Polynomials and Infinite Series 
Notes 
Video 
?s 
§8.1 Review of Sequences and Series 



§8.2 An Introduction to Taylor Polynomials 



§8.3 A Systematic Approach to Taylor Polynomials 



§8.4 Lagrange Remainder 



§8.6 Power Series and the Ratio Test 



§8.7a PositiveTerm Series 



§8.7b PositiveTerm Series 



§8.8a VaryingSign Series 



§8.8b VaryingSign Series 



§8.10a Taylor Series 



§8.10b Taylor Series 



Chapter 8 Homework (Textbook, Problems, and Solutions) 



Chapter 9a: Polar Coordinates 
Notes 
Video 
?s 
§9.4a Polar Coordinates and Polar Graphs (Desmos Activity) 



§9.4b Polar Coordinates and Differentiation 



§9.5 Area in Polar Coordinates 



Chapter 9a Homework (Problems and Solutions) 



Chapter 9b: Parametric Equations and Vectors 
Notes 
Video 
?s 
§9.2 Plane Curves and Parametric Equations 



§9.3 Parametric Equations and Calculus 



§9.7 VectorValued Functions 



§9.8 Velocity and Acceleration 



Chapter 9b Homework (Problems and Solutions) 



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