AP CALCULUS AB TIMELINE
This subpage outlines the Unit Topics that will be covered throughout the course. In addition, the concept notes, homework and homework answers from each unit have been posted for your review throughout the academic school year. Position the mouse over Unit Topic Notes and click on the desired unit to see the unit's information.
Unit 1 Limits & Continuity 3.5 Weeks – August
1.1 Limit of a Function Two Sided, One Sided, & Infinite Limits
1.2 Calculating Limits with limits of absolute value functions and squeeze theorem
1.3 Limits at Infinity
1.4 Continuity Two-sided & One-sided Continuities, Intermediate Value Theorem
1.1 Limit of a Function Two Sided, One Sided, & Infinite Limits
1.2 Calculating Limits with limits of absolute value functions and squeeze theorem
1.3 Limits at Infinity
1.4 Continuity Two-sided & One-sided Continuities, Intermediate Value Theorem
Unit 2 Derivative Concepts 2.5 Weeks – September
2.1 Estimate Tangent Lines
2.2 Calculating Tangent Lines
2.3 Derivative of a Function
2.4 Differentiability
2.1 Estimate Tangent Lines
2.2 Calculating Tangent Lines
2.3 Derivative of a Function
2.4 Differentiability
Unit 3 Differentiation Rules 4 weeks – September/October
3.1 Basic Differentiation Formulas Power Functions (including interpretation of velocity/acceleration – higher order derivatives)
3.2 Product Rule
3.3 Quotient Rule
3.4 Derivative Applications
3.5 Derivatives of Trigonometric Functions
3.6 Chain Rule
3.7 Implicit Differentiation
3.8 Derivatives of Exponential Functions
3.9 Derivatives of Logarithmic Functions
3.10 L'Hospital's Rule
3.1 Basic Differentiation Formulas Power Functions (including interpretation of velocity/acceleration – higher order derivatives)
3.2 Product Rule
3.3 Quotient Rule
3.4 Derivative Applications
3.5 Derivatives of Trigonometric Functions
3.6 Chain Rule
3.7 Implicit Differentiation
3.8 Derivatives of Exponential Functions
3.9 Derivatives of Logarithmic Functions
3.10 L'Hospital's Rule
Unit 4 Curve Sketching 4.5 weeks – November/December
4.1 Derivatives of Inverse Trig Functions
4.2 Sketching Derivatives
4.3 Maximum & Minimum Values
4.4 The Mean Value Theorem
4.5 First Derivatives Test
4.6 Second Derivatives Test
4.1 Derivatives of Inverse Trig Functions
4.2 Sketching Derivatives
4.3 Maximum & Minimum Values
4.4 The Mean Value Theorem
4.5 First Derivatives Test
4.6 Second Derivatives Test
Unit 6/7 Integration Concepts & Techniques 5 weeks - January/February
6.1 Antiderivatives introduction to indefinite integrals
6.2 Area & Distances including Trapezoidal & Midpoint Rules
6.3 The Fundamental Theorem of Calculus Introduction to Definite Integrals
7.1 Substitution Rule for Integration
7.2 Substitution Rule for Integration involving Trigonometric Identities
7.3 Integration by Parts
6.1 Antiderivatives introduction to indefinite integrals
6.2 Area & Distances including Trapezoidal & Midpoint Rules
6.3 The Fundamental Theorem of Calculus Introduction to Definite Integrals
7.1 Substitution Rule for Integration
7.2 Substitution Rule for Integration involving Trigonometric Identities
7.3 Integration by Parts
Unit 5/8 Applications of Integration & Differentiation 3.5 weeks - February/Beginning March
8.1 Average Value of Function
8.2 Areas between Curves
8.3 Volumes of solids of revolution Shell Method
8.4 Volumes of solids of revolution Disk Method
5.1 Optimization
5.2 Related Rates
5.3 Slope Fields
8.1 Average Value of Function
8.2 Areas between Curves
8.3 Volumes of solids of revolution Shell Method
8.4 Volumes of solids of revolution Disk Method
5.1 Optimization
5.2 Related Rates
5.3 Slope Fields