Prepare for your AP Calculus AB Exam with a Tutor
AP Calculus AB is designed to explore the concepts, methods, and applications of differential and integral calculus. It helps students understand mathematical principles that explain change, such as predicting solar eclipses or economic turning points.
This course serves as an incredible opportunity for mathematically advanced students with aspirations in STEM (Science, Technology, Engineering, and Mathematics) careers. By delving deep into the intricacies of calculus, students gain a solid foundation that is pivotal for tackling the complex challenges encountered in these fields. Successfully completing this AP course and passing the exam not only signifies mastery over critical calculus concepts but also allows students to accelerate their educational journey. By earning college credit early, they can finish their general math requirements quicker and dedicate more time and focus to major-specific coursework in their college career, paving a streamlined path to achieving their academic and professional goals.
AP Calc AB Course Content
The course is divided into several units, each focusing on different aspects of calculus. The list below has been summarized from the official AP Calculus AB page on the College Board Website.
Unit 1: Limits and Continuity
Understanding limits and their properties
Exploring continuity and asymptotes
Unit 2: Differentiation: Definition and Fundamental Properties
Defining and applying derivatives
Connecting differentiability and continuity
Unit 3: Differentiation: Composite, Implicit, and Inverse Functions
Using the chain rule and implicit differentiation
Higher-order derivatives
Unit 4: Contextual Applications of Differentiation
Solving real-world problems with derivatives
Applying L'Hospital's rule
Unit 5: Analytical Applications of Differentiation
Solving optimization problems
Using the Mean Value Theorem
Unit 6: Integration and Accumulation of Change
Defining and applying definite integrals
Using the Fundamental Theorem of Calculus
Unit 7: Differential Equations
Solving separable differential equations
Understanding exponential growth and decay
Unit 8: Applications of Integration
Solving problems involving net change
Finding areas and volumes using integrals
Additional Resources
Why Choose Big Sky for AP Calculus AB Tutoring?
At Big Sky Tutoring, we are more than just a team of educators—we are a community dedicated to empowering every student to reach their full potential. Our passion for mathematics and commitment to student success are unmatched. When you choose Big Sky, you're joining a supportive network that believes in nurturing academic excellence through personalized instruction and a collaborative environment. Our tutors are not only well-versed in AP Calculus AB curriculum but are also adept at igniting a genuine interest in the subject, making complex concepts more relatable and easier to grasp.
We understand that calculus can be a challenging subject, and we are here to guide you every step of the way. Our tutors take the time to assess each student's unique learning style and pace, tailoring sessions to meet their specific needs. This individualized approach ensures that students don't just learn calculus—they truly understand it. Our interactive tutoring sessions are designed to build confidence and foster a deeper comprehension of difficult topics like derivatives and integrals. Moreover, we focus on real-world applications to make learning not only effective but also engaging.
Big Sky Tutoring also offers flexible scheduling and a wide range of resources to accommodate busy students and families. Choose Big Sky Tutoring for a learning experience that not only prepares you for the exam but inspires a lifelong appreciation for mathematics. Together, let's reach new academic heights and pave the way for your future successes.