Course Details
Calculus AB Course: Build Strong Math Skills for AP Success
At Refresh Kid LLC, we understand the challenges of high school math, and we're dedicated to helping you master Calculus AB. With our flexible course options and expert teaching, we've got your path to success covered!
Why choose Refresh Kid LLC for AP Calculus AB Tutoring
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Personalized Learning: 1:1 instruction tailored to your unique learning style and goals.
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Concept Mastery: Clear explanations and ample practice ensure deep understanding of fundamental Calculus principles.
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Homework and Assignment Support: Get the help you need from our qualified teachers, so schoolwork feels less daunting.
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US Curriculum Alignment: We follow your state standards, ensuring you're prepared for tests and future courses.
Personalized 1:1 and Group Tutoring Options for AP Calculus AB
1-to-1 Non-Local Teacher (Affordable):
Ideal for budget-conscious students seeking personalized guidance from experienced global educators.
1-to-1 US Teacher:
The perfect choice for students who want the expertise of a qualified US-based instructor.
US Local Teacher Group Sessions:
Learn collaboratively with peers and benefit from the expertise of a US-based teacher.
Flexible Online Tutoring to Fit Your AP Calculus AB Learning Needs
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1 Session/Week: Maintain steady progress and understanding.
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2 Sessions/Week: Accelerate your learning and master concepts quickly.
Affordable Monthly Pricing for Continuous Learning and Growth
Goals we achieve together
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Master the Fundamentals: Build a rock-solid foundation in geometric concepts, postulates, and theorems.
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Develop Spatial Thinking: Improve your ability to visualize and manipulate shapes.
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Prove Your Understanding: Learn logical reasoning and proof-writing techniques.
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Homework Help: Get real-time support and explanations for challenging assignments.
The Refresh Kid Difference
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Personalized Lesson Plans: Tailored specifically to your needs and learning pace.
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Virtual Convenience: Learn from anywhere with an internet connection.
Ready to Get Started ?
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LoginTopics Covered
AP Calculus AB
A. Limits and Continuity
1 Understanding limits conceptually (approaching values)
2 Estimating limits from tables and graphs
3 Calculating limits algebraically
4 One-sided limits and two-sided limits
5 Infinite limits and vertical asymptotes
6 Limits at infinity and horizontal asymptotes
7 Continuity at a point and over an interval
8 Intermediate Value Theorem and applications
B. Differentiation: Definition and Fundamental Properties
1 Understanding the derivative as a rate of change
2 The definition of the derivative (limit definition)
3 Estimating derivatives from graphs and tables
4 Basic derivative rules (power rule, constant rule)
5 Derivatives of sums, differences, products, and quotients
6 Higher-order derivatives
7 Differentiability and continuity
C. Differentiation: Composite, Implicit, and Inverse Functions
1 Chain rule for composite functions
2 Derivatives of exponential functions
3 Derivatives of logarithmic functions
4 Derivatives of trigonometric functions
5 Derivatives of inverse trigonometric functions
6 Implicit differentiation
7 Related rates problems
D. Contextual Applications of Derivatives
1 Motion along a line (position, velocity, acceleration)
2 Solving problems involving rates of change
3 Applying derivatives to real-world contexts (growth, decay, modeling)
4 Introduction to optimization problems (maximize, minimize quantities)
5 Using graphs to find local linearity and approximations (tangent line approximations)
6 Mean Value Theorem for derivatives
E. Analytical Applications of Derivatives
1 Using first derivatives to find intervals of increase and decrease
2 Using second derivatives to find concavity and points of inflection
3 Finding critical points and classifying extrema (local minimum/maximum)
4 Sketching graphs using first and second derivatives
5 Solving optimization problems (area, volume, economics)
6 Solving related rates problems more complexly
7 Using derivatives to model motion and behavior
F. Integration and Accumulation of Change
1 Understanding integration as accumulation
2 Antiderivatives and indefinite integrals
3 Basic integration rules (reverse of power rule)
4 Approximating areas under curves (Riemann sums: left, right, midpoint)
5 Definite integrals and net area
6 Fundamental Theorem of Calculus (Parts 1 and 2)
7 Evaluating definite integrals using antiderivatives
G. Differential Equations
1 Understanding slope fields and solution curves
2 Sketching slope fields
3 Verifying solutions to differential equations
4 Solving separable differential equations
5 Modeling with differential equations (growth, decay, logistic models)
H. Applications of Integration
1 Finding the area between curves
2 Finding volumes of solids of revolution (disk method)
3 Finding volumes of solids of revolution (washer method)
4 Finding volumes of solids with known cross sections
5 Using integration to solve real-world problems (accumulated change, total distance traveled)
