AP Calculus BC Tutoring
Score a 5 on your Calculus BC Exam
Get AP Calculus BC tutoring online from an experienced Ivy League Calculus BC tutor. Learn the strategies you need to get a 5 on your Calculus BC exam from someone who scored a 5.
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Learn the secrets to mastering the Calculus BC AP Exam. Our tutor will teach you which common mistakes to avoid and the strategies required to score a 5 on the AP Calculus BC exam.
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Every student understands the material in different ways. Based on the results of your diagnostic Calculus BC AP exam, we create a personalized curriculum catered to your academic needs and goals.
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AP Calculus BC Tutoring Process
Personalized Online Tutoring for the AP Calculus BC Exam.
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About Our AP Calculus BC Tutor
Todd is a Cornell University Graduate and a full-time math and test prep tutor. He has more than 14 years of Calculus BC tutoring experience and scored a 5 on the exam himself.
He has tutored students with various levels of experience and skill. Over the past decade, Todd has mastered the content of the AP Calculus BC exam and how to help others achieve a score of 5 on the BC Calculus AP exam.
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AP Calculus BC Topics
Exam Date: Monday May 13, 2024
Unit 1: Limits and Continuity
- How limits help us to handle change at an instant
- Definition and properties of limits in various representations
- Definitions of continuity of a function at a point and over a domain
- Asymptotes and limits at infinity
- Reasoning using the Squeeze theorem and the Intermediate Value Theorem
4%–7% of exam score
Unit 2: Differentiation: Definition and Fundamental Properties
- Defining the derivative of a function at a point and as a function
- Connecting differentiability and continuity
- Determining derivatives for elementary functions
- Applying differentiation rules
4%–7% of exam score
Unit 3: Differentiation: Composite, Implicit, and Inverse Functions
- The chain rule for differentiating composite functions
- Implicit differentiation
- Differentiation of general and particular inverse functions
- Determining higher-order derivatives of functions
4%–7% of exam score
Unit 4: Contextual Applications of Differentiation
- Identifying relevant mathematical information in verbal representations of real-world problems involving rates of change
- Applying understandings of differentiation to problems involving motion
- Generalizing understandings of motion problems to other situations involving rates of change
- Solving related rates problems
- Local linearity and approximation
- L’Hospital’s rule
6%–9% of exam score
Unit 5: Analytical Applications of Differentiation
- Mean Value Theorem and Extreme Value Theorem
- Derivatives and properties of functions
- How to use the first derivative test, second derivative test, and candidates test
- Sketching graphs of functions and their derivatives
- How to solve optimization problems
- Behaviors of Implicit relations
8%–11% of exam score
Unit 6: Integration and Accumulation of Change
- Using definite integrals to determine accumulated change over an interval
- Approximating integrals with Riemann Sums
- Accumulation functions, the Fundamental Theorem of Calculus, and definite integrals
- Antiderivatives and indefinite integrals
- Properties of integrals and integration techniques, extended
- Determining improper integrals
17%–20% of exam score
Unit 7: Differential Equations
- Interpreting verbal descriptions of change as separable differential equations
- Sketching slope fields and families of solution curves
- Using Euler’s method to approximate values on a particular solution curve
- Solving separable differential equations to find general and particular solutions
- Deriving and applying exponential and logistic models
6%–9% of exam score
Unit 8: Applications of Integration
- Determining the average value of a function using definite integrals
- Modeling particle motion
- Solving accumulation problems
- Finding the area between curves
- Determining volume with cross-sections, the disc method, and the washer method
- Determining the length of a planar curve using a definite integral
6%–9% of exam score
Unit 9: Parametric Equations, Polar Coordinates, and Vector-Valued Functions
- Finding derivatives of parametric functions and vector-valued functions
- Calculating the accumulation of change in length over an interval using a definite integral
- Determining the position of a particle moving in a plane
- Calculating velocity, speed, and acceleration of a particle moving along a curve
- Finding derivatives of functions written in polar coordinates
- Finding the area of regions bounded by polar curves
11%–12% of exam score
Unit 10: Infinite Sequences and Series
- Applying limits to understand convergence of infinite series
- Types of series: Geometric, harmonic, and p-series
- A test for divergence and several tests for convergence
- Approximating sums of convergent infinite series and associated error bounds
- Determining the radius and interval of convergence for a series
- Representing a function as a Taylor series or a Maclaurin series on an appropriate interval
17%–18% of exam score
AP Calculus BC Exam Format
The AP Calculus BC Exam has consistent question types, weighting, and scoring guidelines every year, so you know what to expect on exam day.
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AP Calculus BC Tutoring
AP Calculus BC FAQ
AP Calculus BC Questions
When is the 2024 AP Calculus BC Exam?
The 2024 AP Calculus BC Exam is in May 2024, but the exact date is to be determined.
How long is the AP Calculus BC Exam?
The exam is 3 hours and 15 minutes.
How many questions are on the AP Calculus BC exam?
There are 45 multiple choice and 6 free response questions on the exam.
How to prepare for the AP Calculus BC Exam?
- Memorize Important Formulas and Theorems.
- Practice Free Response Questions from College Board.
- Hire an experienced, knowledgeable Calculus BC Tutor.
How to pass the AP Calc BC exam?
- Show all your work on the free response questions
- Attempt all parts of a free response question
- Double check what the question is asking you to find
- Do not round answers
- Know how to use your calculator
- Memorize Important Formulas
Is AP Calculus BC difficult?
In 2021, 75% of students passed the exam (received a score of 3, 4, or 5).
AP SCORES | 5 | 4 | 3 | 2 | 1 |
AP Calculus BC | 38.3% | 16.5% | 20.4% | 18.2% | 6.6% |
What's the difference between Calculus AB & Calculus BC?
Calculus BC exam covers two additional units: Parametric & Polar Sequences and Infinite Sequences & Series.
Is AP Calculus AB or BC harder?
AP Calculus BC has more advanced topics than AP Calculus AB, but the AP Calculus BC exam is easier to pass than the AB exam. Only 17.6% of AP Calculus AB test-takers earn a score of 5; whereas, 38.3% of AP Calculus BC test-takers earn a score of 5.
AP SCORES | 5 | 4 | 3 | 2 | 1 |
AP Calculus AB | 17.6% | 14.1% | 19.3% | 25.3% | 23.7% |
AP Calculus BC | 38.3% | 16.5% | 20.4% | 18.2% | 6.6% |
How is the AP Calculus BC exam scored?
Each section (multiple choice free response) is worth 50% of your grade. The multiple-choice questions are each worth 1.2 points, and the free response questions are each worth 9 points.
The exact formula for converting your raw score changes each year, but if you want a 5, you aim to get at least 70 points.
Should I report a score of 3 on the AP Calculus BC exam?
If applying to a top 20 university, don’t report a score less than 5.
As for other universities, use College Board’s AP Credit Policy Search to see if your AP scores could earn you college credit or advanced placement.
What topics does AP Calculus BC cover?
AP Calculus BC covers the four major topics in AP Calculus AB.
- Limits and Continuity
- Differentiation
- Integration
- Differential Equations
In addition, Calc BC covers Parametric, Vectors, & Sequences/Series.
How to get a 5 on the AP Calculus BC exam?
Only 38.3% of students get a 5 on the Calculus BC Exam. As the saying goes, practice makes perfect. Here are some tips for getting a 5 on the AP Calculus BC exam.
- Go to class
- Listen to instructor
- Do Homework Problems
- Read your textbook
- Ask Questions
- Do extra practice problems
Should I take AP Calculus AB or BC?
You have three options: you can take AB and BC calculus as a sequence, take AB calculus only, or skip AB Calculus and go straight to BC Calculus.
AP Calculus BC courses cover everything in Calculus AB plus Parametric Equations, Polar Coordinates, Vector-valued functions, infinite sequences, & series.
Is a 4 on AP Calculus BC good?
Most colleges will accept an AP Calculus BC score of 4 or 5 for some college credit. Check College Board’s AP Credit Policy Search to see which colleges you’re applying to will accept a score of 4.
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