Online AP Calculus-AB Preparation and training
Want to Score higher on the AP?
Our personalized program unlocks your potential. Expert guidance, proven strategies, and targeted practice help you conquer any section.
.png)
About AP Calculus AB
The Advanced Placement (AP) program offers high school students college-level curricula and exams to showcase proficiency in specific subjects before college enrollment. A high score on an AP test may earn students course credit and advanced placement in college.
Unit 1: Limits and Continuity
Topics may include:
1. How limits help us to handle change at an instant
2. Definition and properties of limits in various representations
3. Definitions of continuity of a function at a point and over a domain
4. Asymptotes and limits at infinity
5. Reasoning using the Squeeze theorem and the Intermediate Value Theorem
1. How limits help us to handle change at an instant
2. Definition and properties of limits in various representations
3. Definitions of continuity of a function at a point and over a domain
4. Asymptotes and limits at infinity
5. Reasoning using the Squeeze theorem and the Intermediate Value Theorem
Unit 2: Differentiation- Definition and Fundamental Properties
Topics may include:
1. Defining the derivative of a function at a point and as a function
2. Connecting differentiability and continuity
3. Determining derivatives for elementary functions
4. Applying differentiation rules
1. Defining the derivative of a function at a point and as a function
2. Connecting differentiability and continuity
3. Determining derivatives for elementary functions
4. Applying differentiation rules
Unit 3: Differentiation- Composite, Implicit, and Inverse Functions
Topics may include:
1. The chain rule for differentiating composite functions
2. Implicit differentiation
3. Differentiation of general and particular inverse functions
4. Determining higher-order derivatives of functions
1. The chain rule for differentiating composite functions
2. Implicit differentiation
3. Differentiation of general and particular inverse functions
4. Determining higher-order derivatives of functions
Unit 4: Contextual Applications of Differentiation
Topics may include:
1. Identifying relevant mathematical information in verbal representations of real-world problems involving rates of change
2. Applying understandings of differentiation to problems involving motion
3. Generalizing understandings of motion problems to other situations involving rates of change
4. Solving related rates problems
5. Local linearity and approximation
6. L’Hospital’s rule
1. Identifying relevant mathematical information in verbal representations of real-world problems involving rates of change
2. Applying understandings of differentiation to problems involving motion
3. Generalizing understandings of motion problems to other situations involving rates of change
4. Solving related rates problems
5. Local linearity and approximation
6. L’Hospital’s rule
Unit 5: Analytical Applications of Differentiation
Topics may include:
1. Mean Value Theorem and Extreme Value Theorem
2. Derivatives and properties of functions
3. How to use the first derivative test, second derivative test, and candidates test
4. Sketching graphs of functions and their derivatives
5. How to solve optimization problems
6. Behaviors of Implicit relations
1. Mean Value Theorem and Extreme Value Theorem
2. Derivatives and properties of functions
3. How to use the first derivative test, second derivative test, and candidates test
4. Sketching graphs of functions and their derivatives
5. How to solve optimization problems
6. Behaviors of Implicit relations
Unit 6: Integration and Accumulation of Change
Topics may include:
1. Using definite integrals to determine accumulated change over an interval
2. Approximating integrals using Riemann Sums
3. Accumulation functions, the Fundamental Theorem of Calculus, and definite integrals
4. Antiderivatives and indefinite integrals
5. Properties of integrals and integration techniques
1. Using definite integrals to determine accumulated change over an interval
2. Approximating integrals using Riemann Sums
3. Accumulation functions, the Fundamental Theorem of Calculus, and definite integrals
4. Antiderivatives and indefinite integrals
5. Properties of integrals and integration techniques
Unit 7: Differential Equations
Topics may include:
1. Interpreting verbal descriptions of change as separable differential equations
2. Sketching slope fields and families of solution curves
3. Solving separable differential equations to find general and particular solutions
4. Deriving and applying a model for exponential growth and decay
1. Interpreting verbal descriptions of change as separable differential equations
2. Sketching slope fields and families of solution curves
3. Solving separable differential equations to find general and particular solutions
4. Deriving and applying a model for exponential growth and decay
Unit 8: Applications of Integration
Topics may include:
1. Interpreting verbal descriptions of change as separable differential equations
2. Sketching slope fields and families of solution curves
3. Solving separable differential equations to find general and particular solutions
4. Deriving and applying a model for exponential growth and decay
1. Interpreting verbal descriptions of change as separable differential equations
2. Sketching slope fields and families of solution curves
3. Solving separable differential equations to find general and particular solutions
4. Deriving and applying a model for exponential growth and decay
Advanced Placement
Your Path to a perfect 5/5 in AP!
5+ Full Length Practice/ Mock Tests
Free counselling session
Targeted Practice Tests
30+ on demands tutoring hours
50+ Engagement hours
Engaged Parents, Informed Progress
Why take AP exams?
AP Courses: Your key to Tier 1 University Admission
Broadened Horizons
Taking AP courses introduces you to many different subjects, which helps you learn more about a variety of topics.
Critical Thinking
AP courses teach crucial skills like critical thinking which is considered essential for college success.
Higher College Success Rates
Research indicates that students scoring 3 or higher on AP Exams often perform well academically in college.
Prep for Challenges of College
AP courses prepare you for college academics, giving you the skills you need to succeed.
Commitment
AP scores demonstrate ambition and commitment to colleges, showing dedication to challenging coursework.
Strengthens Application
Take AP courses, save on tuition! Earn credits recognized by over 700 universities worldwide.
Exam strategy
We know the ins and outs of the exam, and we'll show you powerful techniques like answer elimination and passage mapping to save time and boost your score. Learn the most efficient ways to answer questions and feel confident on test day.
01. Decision tree
02. Answer elimination
03. Passage mapping
