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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
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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

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

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

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

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

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

Unit 8: Applications of Integration

Advanced Placement

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AP Calculus AB Online Classes - Frequently Asked Questions

What is the duration and frequency of the classes?

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Our classes typically run for 1 hour and are held 2-4 times per week. We offer flexible scheduling options to accommodate your busy schedule.

What all programs are available?

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We provide the following programs - Digital SAT prep, AP prep, Digital PSAT prep, ACT prep.

Do you provide any assessments or evaluations?

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Yes, we conduct periodic assessments to track your progress and identify areas for growth. These assessments help us tailor our instruction to meet your need and ensure you are making meaningful progress.

What sets your online classes apart from other educational platforms?

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Our online classes stand out for their interactive and engaging learning experiences, personalized attention from qualified instructors, comprehensive curriculum covering a wide range of subjects, and flexible scheduling options. We are committed to fostering a supportive learning community where every child can thrive.

How do you ensure that the material covered in classes aligns with exam prep curriculum standards?

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Our curriculum is carefully designed to align with national or international educational standards and guidelines. We work closely with educators and subject matter experts to ensure that the content covered in our classes is relevant, age-appropriate, and meets the learning objectives outlined in the curricula.

What are the qualifications of the mentors?

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Our instructors are highly qualified professionals with expertise in their respective fields. They undergo rigorous training to ensure they are equipped to deliver engaging and effective classes to your children.

What technology or software do we need for our child to participate in the classes?

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All your child needs is a computer or tablet with a stable internet connection. We use user-friendly platforms and software that are easily accessible and require minimal setup.

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