Our personalized, one-to-one AP calculus course offers a comprehensive exploration of calculus concepts and skills, aligned with the course requirements outlined by the College Board. This course can be done as a stand alone course or with preparation to take the AP exam. In terms of exams, there are two levels—AP calculus AB and AP calculus BC. For students who want to prepare for the exam, we can shape this course according to one of those paths. And, for all students—whether exam directed or doing the course without the exam—we tailor the curriculum to your interests and learning style, ensuring a focused and effective learning experience.
Mastering Fundamental Concepts
The AP calculus AB course delves into the core principles of calculus, including limits, derivatives, integrals, and their applications over eight units, while AP calculus BC builds on the topics from AP calculus AB and adds some new topics such as polar coordinates, vector-valued functions and infinite sequences in ten units. Through engaging discussions, interactive demonstrations, and problem-solving exercises, you will gain a thorough understanding of these core concepts and their real-world significance. Since this course is taught one-to-one, you will receive individualized attention to ensure a comprehensive grasp of the material.
Analytical Problem-Solving and Mathematical Reasoning
A strong emphasis is placed on developing your analytical problem-solving skills and mathematical reasoning abilities throughout this course. You will learn to approach calculus problems systematically, apply appropriate techniques and formulas, and think critically to arrive at precise solutions. Through challenging exercises and practice problems, you will enhance your ability to analyze functions, interpret graphs, and tackle complex calculus problems.
Differentiation and Integration Techniques
This course covers a wide range of differentiation and integration techniques, such as the chain rule, and various methods of integration. You will explore applications of derivatives, such as related rates and optimization, as well as applications of integrals, including area, volume, and motion.
Exam Preparation and Test-Taking Strategies
For a student who opts to prepare for the exam, in order to be properly prepared (and confident), we will incorporate exam prep throughout the course, exposing you to the format and expectations of the AP calculus exam, and allowing you to familiarize yourself with the types of questions and the timing of the test. Mock exams, practice questions, and sample responses are provided to enhance exam readiness. In the final 2-4 weeks of the course we’ll switch into 100% exam prep mode, including guidance on effective exam strategies, time management, and prioritizing key concepts. You and your teacher will also engage in targeted review sessions, reinforcing critical knowledge areas and addressing common misconceptions.
Personalized Learning Experience
With our one-on-one format, you will receive personalized attention and guidance tailored to your specific needs. Your teacher will adapt the curriculum and teaching methods to match your learning style and pace, providing additional support and clarification whenever necessary. This individualized approach will allow you to grasp complex calculus concepts more effectively and maximize your learning.
Note: The AP calculus BC curriculum builds upon the topics covered in AP calculus AB.