AP Calculus AB / Calculus 1
Curriculum Overview
Aligned with the College Board’s AP standards, this course covers differential and integral calculus concepts, focusing on limits, derivatives, integrals, and the Fundamental Theorem of Calculus.
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Course Duration : 8-9 months
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Classes per month : 8 classes (1-hr each)
Calculus 1 - Detailed Monthly Curriculum
- Understanding Limits
- Evaluating Limits Analytically
- Continuity and One-Sided Limits
- Definition and Basic Derivative Rules
- Derivatives of Polynomial, Exponential, and Trigonometric Functions
- Chain Rule, Implicit Differentiation, and Related Rates
- Maxima and Minima
- Curve Sketching
- Optimization Problems
- Antiderivatives and Indefinite Integrals
- Definite Integrals
- The Fundamental Theorem of Calculus
- Area Under a Curve
- Volume
- Differential Equations and Mathematical Modeling
- Modeling with Differential Equations
- Direction Fields and Euler’s Method
- Separable Differential Equations
- Integration by Substitution
- Integration by Parts
- Partial Fractions
- Areas between Curves
- Volumes by Cylindrical Shells
- Work and Fluid Forces
- Sequences
- Series and Convergence Tests
- Power Series
Please note that our curriculum adheres to the Common Core State Standards, ensuring a comprehensive and effective learning experience. To complete the curriculum within approximately 8-9 months, we recommend participating in two classes per week. However, should you be unable to maintain this frequency, the duration of the course may be subject to adjustment.
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Frequently Asked Questions
What happens after I signup for the demo class ?
Once you signup for a demo class using our form, you will receive an email from vrinda@apluscalculus.com with a calendar invite to your demo class. All you need to do is - Show up for your class using the invite link. Simple really!
Will the course be completed on time?
Our courses will be completed within the mentioned time. However, we adjust the course based on the student's unique requirements (case by case basis).
Can I get a video recording of the classes for later use?
Your classes will be recorded and access will be provided to you for later use and revisions. Our students love this.
How many students are in your group lessons?
Based on our experience, groups of 3-4 students are the uppermost limit for effective pedagogy. We stick to this limit.
We are a group of friends looking to be in the same study group. Is this possible?
Ofcourse. If you would like us to custom create a study group only for you and your friends(same course), just let us know.
I am confused about 1:1 or group sessions. Can you help?
You don't have to worry about choosing your class type right now. Get on a free demo class with Ms. Vrinda - she will be able to provide suggestions on what could fit your child the best.