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Course

AP Calculus A/B

About Instructor

Course Overview
Reviews

1.0 High School Math Credit | AP-Level | College-Prep

Dr. Rogelio Caballero teaches a dynamic course covering the foundations of college-level differential and integral calculus, aligned with the AP Calculus AB curriculum. The course develops strong problem-solving skills through the identification and correct application of appropriate solution techniques. Students learn to justify each step logically and to communicate results clearly using the precise language of mathematics, preparing them for success on the AP examination and in future mathematics study.

 The AP Calculus AB examination allocates the following approximate weight to each unit of study: 

1. Limits and Continuity (10–12%).
2. Differentiation: Definition and Fundamental Properties (10–12%).
3. Differentiation: Composite, Implicit, and Inverse Functions (9–13%).
4. Contextual Applications of Differentiation (10–15%).
5. Analytical Applications of Differentiation (15–18%)
6. Integration and Accumulation of Change (17–20%).
7. Differential Equations (6–12%).
8. Applications of Integration (10–15%).

Prerequisites

Students should have successfully completed courses in algebra, geometry, trigonometry, analytic geometry, and elementary functions. They are expected to understand the properties of linear, polynomial, rational, exponential, logarithmic, trigonometric, inverse trigonometric, and piecewise-defined functions, and to be able to graph these functions and solve equations involving them. Familiarity with algebraic transformations, combinations, compositions, and inverses of general functions is also required.

Course Workload

The course includes a weekly live online Zoom session with the teacher, alongside structured assignments on AP Classroom and supplementary practice using Khan Academy. Students submit homework each week, which is carefully marked to support understanding and steady progress. Around four hours of independent work per week should be anticipated.

 

AP Calculus AB and BC

The primary difference between this course and AP Calculus BC is that the BC curriculum also includes polar coordinates, parametric equations, vector-valued functions, and infinite sequences and series. Students who wish to prepare for the AP Calculus BC examination may arrange additional tuition with Dr. Caballero to cover this extended material.

 

Results

2025 Average 4.0

Student Reviews

Reviews Statistic

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5 out of 5
10 Ratings
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10 reviews for AP Calculus A/B

  1. 5 out of 5

    :

    The teacher gives comprehensive feedback when you make mistakes on questions. He makes sure that everyone understands the concepts. Great teacher. Very helpful.

  2. 5 out of 5

    :

    I like how well laid out the course is, so that I know exactly what I should be doing and what is coming up in the future weeks. Also, I am naturally interested so I find the course enjoyable. Rogelio is very good at explaining new concepts and will patiently go over concepts (both new and old) if needed. Rogelio ensures we work hard in class, but also gives the class an easy-going atmosphere!

  3. 5 out of 5

    (verified owner):

    We truly appreciate the teaching of Rogelio.

  4. 5 out of 5

    :

    The teacher, one of the bests teacher I ever had, truly grateful for the experience. He knows his stuff, he knows about what he is talking about and he loves the topics, that gives us as students a lot of enthusiasm to learn more.

  5. 5 out of 5

    :

    The extensive explanations and demonstrations for each formula are very helpful. I really liked that he explains everything in detail.

  6. 5 out of 5

    :

    The best part is understanding the topic, the explanations are really deep and really theoretical but helps you understand it to the core. I think he is one of the greatest of all my teachers- he explains really well and teaches really well.

  7. 5 out of 5

    :

    Technical concepts explained clearly and in a way that makes calculus easier to understand. Professor Rogelio is an outstanding teacher — extremely professional, patient, and always kind to his students. He inspires deep respect and admiration.

  8. 5 out of 5

    :

    In my experience, whenever I had questions about a topic, he always took the time to help me and explain things in a way that I could truly understand. In addition, his classes were always accompanied by a great sense of humor, which made learning much more enjoyable and engaging.

  9. 5 out of 5

    :

    The professor teaches very well, explains the topics clearly and is patient when answering questions. Thanks to him, I was able to understand many math topics. I recommend him 100%

  10. 5 out of 5

    :

    Great clarity, patience, and professionalism. Taking math courses with Professor Rogelio was a huge help to me. He has always been known for being a very polite, punctual, and organized teacher. What I appreciate most about his classes is his ability to explain things clearly; he makes difficult topics easy to understand. Plus, he is extremely patient and is always willing to take the time to address the class’s questions.

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Start On August 27, 2026
Duration 30 weeks
Level AP
Prerequisites Algebra & Geometry
Day & Time Thursdays@
UK 2:30 PM
ET 9.30 AM
Price £640.00
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