There are two sections on the AP Calculus BC Exam. Section 1 is the multiple choice section while section 2 is the free response section. Each section also has 2 parts to them. One involves a calculator while the other doesn't.

Section 1: Multiple Choice Question

Part A: 30 MCQ in 60 minutes (Calculator not allowed)

Part B: 15 MCQ in 45 minutes (Calculator allowed)



Section 2: Free Response Section

Part A: 2 FRQ in 30 minutes (Calculator allowed)

Part B: 4 FRQ in 60 minutes (Calculator not allowed)

People tend to like the free response section more due to partial credit. On a multiple choice question, if you get it wrong there's no chance of receiving partial points unlike the free response section. Many people believe that extra preparation is required for the multiple choice section. However, if you are fluent with all the topics and know how to apply them, then the multiple choice questions are simply very short free response questions with answer choice.
Some resources can help you prepare faster than others since they come straight to the point are designed to maximize your chance of getting a 5 on the AP exam. The book on the right was made by Ritvik Rustagi, founder of TMAS Academy.
It contains over 250 pages and hundreds of problems to help you prepare for the AP exam. All problems also have detailed solutions, and are organized by the unit.
The videos on the TMAS Academy youtube channel can be helpful to review. They are short and come straight to the point to make preparing for these exams easier.
Guide to Preparing for the AP Exam
AP Calculus BC is a very long 10 unit course. There are two types of people that take the course, and the methods used to study should be different for each group. One group consists of students taking the course in school while the other includes students that self study the course. There's also a group of students that have done AP Calculus AB before taking this course. They will find BC to be significantly easier than others since majority of the topics on AP Calculus BC are repeated from AP Calculus AB.
For students taking this course in a proper classroom setting, make sure to listen to the teacher and follow along the course as your teacher covers the material. Taking this course in a classroom setting already puts you above students that are self studying. Some popular books used in a classroom setting include the following books below.
For students selfstudying, choose a textbook from the slideshow above. It's different from the review textbooks in terms of gaining depth for the content. Some students are able to prepare for the exam solely through the review textbooks, but others need to use indepth textbooks to gain a rich understanding of the topic. After you have chosen a book, make sure to pace yourself so you can finish the course on time. Try to allocate time properly for each of the 10 units so you have enough time to not only learn the theory but practice. At the end of the day, successful mathletes spend between 5 to 10% of their time learning the theory, and the rest practicing.
Course Overview
Unit #  Topics  Weightage on Exam 

Sequences  
and Series  
Unit 10: Infinite  
Sequences  
and Series  
Unit 10: Infinite  
Sequences  
and Series  
Unit 10: Infinite  
and Series  
Sequences  
Unit 10: Infinite  
Unit 10: Infinite  
Sequences  
and Series  
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o  
o  
o  
o  
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Unit 1: Limits and
Continuity 
 
Unit 2: Differentiation:
Definition and
Fundamental
Properties  
Unit 3: Differentiation: Composite, Implicit, and Inverse Functions  
Unit 4: Contextual
Applications of
Differentiation  
Unit 5: Analytical
Applications of
Differentiation  
Unit 6: Integration and
Accumulation
of Change  
"Unit 7: Differential
Equations"  
Unit 8: Applications
of Integration  
Unit 9: Parametric
Equations, Polar
Coordinates, and
VectorValued
Functions  
Unit 10: Infinite
Sequences
and Series 
Unit 1: Limits And Continuity
Unit 2:
Differentiation: Definition and Fundamental Properties
Unit 3:
Differentiation: Composite, Implicit, and Inverse Functions
Unit 4: Contextual Applications of Differentiation
Unit 5: Analytical Applications of Differentiation
Unit 6: Integration and Accumulation of Change
Unit 7: Differential Equations
Unit 8: Applications of Integration
Unit 9: Parametric Equations, Polar Coordinates, and VectorValued Functions
Unit 10: Infinite Sequences and Series

What is a limit?

Approximating limits with tables, graphs, or functions

Does a limit exist at a point?

Properties of Limits

Squeeze Theorem

Types of Discontinuity

Limits at Infinity

Intermediate Value Theorem

Average rate of change

Instantaneous rate of change

What is a derivative?

Limit definition of a derivative

Continuity and differentiability relationship

Power Rule

Derivative rules: addition and subtraction

More derivative rules

Derivative of Trigonometric Functions

Product and Quotient Rule

Chain Rule

Implicit differentiation

Differentiating inverse functions

Differentiating inverse trigonometric functions

Differentiating higher order derivatives

Interpreting derivatives

Relating calculus to motion

Related rates

Approximating a value for a function using local linearity

L’Hopital’s Rule

Mean Value Theorem

Intermediate Value Theorem

Extreme Value Theorem

Critical points

Relative extrema

Determining if a function is increasing/decreasing

The First Derivative Test

Candidates Test

Determining concavity

The Second Derivative Test

Optimization

Behaviors of implicit relations

Riemann Sums

Definite Integral

Fundamental Theorem of Calculus

Accumulation functions

Properties of definite integrals

Antiderivatives

Indefinite Integral

USubstitution

Integration with long division

Integration with completing the square

Integration by parts

Integration with partial fractions

Improper Integrals

Slope fields

Draw solution curve on a slope field

Euler's Method

Solving differential equations (general and particular solutions)

Separation of variables

Modeling growth patterns

exponential growth/decay


Logistics Models

Average value of a function

Interpreting definite integrals

Area between curves

Volume of solid with known cross section: squares, rectangles, triangles, semicircles

Volume of solids of revolutions

disks and washers


Length of curve for an interval

Differentiating parametric functions

Integrating parametric functions

Distance and Displacement formulas for parametric functions

Vectorvalued functions: differentiating and integrating

Differentiating polar curves

Finding the area between polar curves

Infinite series

Divergent vs convergent series

Geometric series

nth term test for divergence

Integral test

pseries and harmonic series

Direct comparison test

Limit comparison test

Alternating series test

Ratio test

Determining absolute or conditional convergence

Alternating series error bound

Taylor and Maclaurin polynomials

Lagrange error bound

Radius and interval of convergence of power series using ratio test

Writing functions as power series
47% Exam Weightage
You are very unlikely to see a problem from this unit on the free response section. However, expect around 5 multiple choice questions on this topic. They will be relatively straight forward compared to other questions. You will need to be fluent with continuity and evaluating limits by considering factors such as discontinuity.
47% Exam Weightage
Despite the low weightage of this unit, it's fundamentals that must be known to differentiate for harder problems from other units. There won't be many problems that solely use topics from this unit on the free response question. However, there will always be some parts of a free response question that involve topics from this unit.
47% Exam Weightage
Expect to see topics from this unit on some parts of free response questions. There is always one application of the chain rule on the free response section, and some regarding that topic on the multiple choice section. The rest of the topics are likely to appear on the multiple choice section.
Pay close attention to the chain rule and differentiating inverse trigonometric functions. That doesn't mean you should neglect the other topics since they will also appear on the exam.