Course Details
AP Calculus BC Live Tutoring – Achieve Your Best Score with Refresh Kid
Develop your advanced calculus skills with Refresh Kid’s AP Calculus BC course. Designed to help high school students achieve their best score on the College Board AP exam, our course combines comprehensive lessons, hands-on practice, and expert guidance. Whether you’re building on your AP Calculus AB knowledge or diving straight into the BC level, we’re here to support you every step of the way.
Why Choose Refresh Kid’s AP Calculus BC tutoring service?
-
Tailored Learning: Customized lessons to fit each student's pace, from foundational review to advanced prep for a score of 5.
-
Expert Tutors: Learn from experienced instructors with a strong track record in AP success.
-
US Curriculum Alignment: We follow your state standards, ensuring you're prepared for tests and future courses.
-
Affordable Monthly Pricing: Quality instruction without the per-session cost burden.
Personalized Tutoring Options for AP Calculus BC:
Choose a session format that suits your learning style and schedule:
1:1 Non-Local Teacher:
Affordable and customized for students who need focused guidance.
Group with US Teacher:
Ideal for students who prefer learning in a group setting with a local teacher.
1:1 with US Teacher:
Perfect for students aiming for top scores with intensive preparation.
Comprehensive Coverage of AP Calculus BC Topics:
Our tutoring covers all the key concepts you'll need for success on the AP Calculus BC exam:
-
Limits and Continuity
-
Differentiation: Definition and Fundamental Properties
-
Applications of Derivatives
-
Integration and Accumulation of Change
-
Differential Equations
-
Applications of Integration
-
Infinite Series
-
Parametric, Polar, and Vector Functions
Our tutors ensure you understand each topic through clear explanations and regular practice.
Affordable Tutoring with Proven Results:
We provide high-quality tutoring without the financial burden of per-session costs. Choose from flexible monthly pricing plans that suit your budget.
Get Ready for the AP Calculus BC Exam with Real Practice Questions:
Gain confidence by practicing with real AP exam questions, mock tests, and targeted drills. Our tutors ensure you're familiar with the exam format and prepared to handle any question.
Enroll Now and take the first step towards scoring a 5 on the AP Calculus BC exam. Start your journey with Refresh Kid today and see the difference personalized tutoring can make!
Plans & Pricing
Topics Covered
AP Calculus BC
A. Limits and Continuity (Review/Strengthen)
1 Understanding limits conceptually
2 Computing limits algebraically
3 One-sided and two-sided limits
4 Limits at infinity and asymptotic behavior
5 Continuity at a point and on an interval
6 Intermediate Value Theorem
B. Differentiation: Definition and Fundamental Rules (Review/Strengthen)
1 Definition of the derivative (limit definition)
2 Basic derivative rules (power rule, constant rule)
3 Product rule and quotient rule
4 Higher-order derivatives
5 Differentiability and its implications
C. Differentiation: Composite, Implicit, and Inverse Functions (Review/Strengthen)
1 Chain rule
2 Derivatives of exponential and logarithmic functions
3 Derivatives of trigonometric and inverse trig functions
4 Implicit differentiation
5 Related rates problems (advanced level)
D. Contextual Applications of Derivatives (Review/Strengthen)
1 Motion problems (velocity, acceleration)
2 Related rates word problems
3 Optimization problems (geometry, economics)
4 Linear approximation and differentials
5 Mean Value Theorem and applications
E. Analytical Applications of Derivatives (Review/Strengthen)
1 Finding extrema and critical points
2 First and second derivative tests
3 Concavity and points of inflection
4 Sketching curves using derivatives
5 Solving optimization problems
6 Motion analysis using derivatives
F. Integration and Accumulation of Change (Review/Strengthen)
1 Antiderivatives and indefinite integrals
2 Riemann sums and approximations of integrals
3 Definite integrals and area under a curve
4 Fundamental Theorem of Calculus (Parts 1 and 2)
5 Finding total accumulation given a rate of change
G. Differential Equations and Slope Fields (Review/Strengthen)
1 Slope fields: sketching and interpreting
2 Solving separable differential equations
3 Modeling with differential equations (population growth, radioactive decay)
H. Applications of Integration (Review/Strengthen)
1 Area between curves
2 Volumes of solids (disk and washer methods)
3 Volumes with known cross sections
4 Applications of accumulation (physics, economics)
Until here, everything is AP Calc AB content (reviewed stronger for BC students).
Now, new topics unique to AP Calc BC begin:
I. Parametric, Polar, and Vector Functions (New for BC)
1 Introduction to parametric equations
2 Graphing parametric curves
3 Derivatives of parametric functions (dy/dx, d²y/dx²)
4 Arc length of parametric curves
5 Introduction to polar coordinates
6 Graphing polar curves
7 Area bounded by polar curves
8 Introduction to vectors (basic components)
J. Infinite Sequences and Series (New for BC)
1 Introduction to sequences: limits and convergence
2 Introduction to series and partial sums
3 Convergence of geometric series
4 p-series and harmonic series
5 Integral test for convergence
6 Comparison tests (direct and limit comparison tests)
7 Alternating series and the alternating series test
8 Ratio test for convergence
9 Absolute and conditional convergence
10 Taylor polynomials and approximations
11 Maclaurin series (common examples like eˣ, sin x, cos x, 1/(1-x))
12 Radius and interval of convergence for power series
