AP Calculus AB
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AP Calculus AB – Understand Change, Master the Math Behind It
From Derivatives to Integrals, Build the Foundations for College Calculus and STEM Success
AP Calculus AB is the pinnacle of high school mathematics—where algebra, geometry, and trigonometry converge to help students understand and model change. Whether you’re studying motion, growth, optimization, or area, Calculus gives you the tools to describe and solve real-world problems with precision.
At Guru Tutorials, our AP Calculus AB course is designed for high school students who want a strong, confident start in college-level math. We make rigorous content approachable through clear explanations, real-world examples, and step-by-step skill development.
Why Take AP Calculus AB with Guru Tutorials?
Conceptual Clarity with Application
We go beyond memorizing rules—students understand the “why” behind key ideas like limits, derivatives, and integrals. Every topic is rooted in reasoning and problem-solving, just like the AP exam demands.Interactive, Small-Group Learning
Our live Zoom classes are limited to 8–10 students to encourage active participation, collaboration, and real-time feedback from an experienced instructor.Test-Ready, Real-World Focus
Each unit includes AP-style problems, real-life modeling, and regular progress checks to ensure students are both exam-ready and math-confident.Tools for Success
Students learn to communicate their reasoning, connect graphical and algebraic representations, and use correct mathematical notation—just like the College Board expects.Course Units & Topics Covered
Limits and Continuity
Understanding how functions behave as inputs approach specific values and how this underpins all of calculus.
Differentiation: Definition and Basic Techniques
Defining derivatives, using rules to compute them, and interpreting them as rates of change.
Advanced Differentiation
Chain rule, implicit differentiation, and inverse function differentiation.
Applications of Derivatives
Related rates, motion analysis, optimization, and curve sketching.
Analytical Applications of Differentiation
First and second derivative tests, Mean Value Theorem, concavity, extrema, and graph analysis.
Integration and Accumulated Change
Riemann sums, definite and indefinite integrals, Fundamental Theorem of Calculus.
Differential Equations
Solving separable differential equations, slope fields, and modeling exponential growth/decay.
Applications of Integration
Finding area under curves, between curves, and volumes of solids using disc and washer methods.
Course Format
- Weekly 90-minute live classes on Zoom
- Homework assignments and AP-style assessments
- Optional extra-help sessions (included in tuition)
- Class size capped at 10 for focused instruction
First two sessions free (no obligation)
Ideal for: High school juniors and seniors preparing for the AP Calculus AB exam or college STEM programs
Calculus doesn’t have to be intimidating. With the right structure and support, your student will not only pass the AP exam—but truly understand the math that powers science, engineering, and economics.
Call Rajesh at
443-863-0752
tutor.vaswani@gmail.com
Testimonials
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Available Online
Yes
Hours of Classes
42
Level
Advanced
Certificate
Yes
Lifetime Access
Yes
Duration (Days)
120
Community Access
Yes