AP Calculus

The AP calculus AB Exam and BC Exam assesses student's mastery of AB calculus and BC calculus concepts and techniques respectively. Both courses represent college-level mathematics for which most colleges grant advanced placement & credit.

Difference in Calculus AB and Calculus BC

Calculus AB is designed to be taught over a full high school academic year. Calculus AB can be covered within a year even while spending some time on elementary functions. Adequate preparation for Calculus AB, however, requires dedicated time on topics in differential and integral calculus. AP exams lay special emphasis on these topics.

Calculus BC is designed to be offered by schools that are able to complete all the prerequisites before the course. Calculus BC spans one full year in the calculus of functions of a single variable. The course content for Calculus BC has certain additional topics apart from the same for Calculus AB.

Prerequisites (for both Calculus AB and Calculus BC)

 Before studying calculus, all students must complete four years of secondary mathematics designed for college-bound students in topics such as:

Topics covered in Calculus AB and Calculus BC

1. Functions, Graphs, and Limits
2. Derivatives
3. Integrals
4. Polynomial Approximations and Series

For detailed description of course content under each topic,Click Here.

AP Calculus Exam Pattern (AP Calculus AB and AP Calculus BC)

Each exam runs 3 hours and 15 minutes and covers topics typically included in about two-thirds of a full-year college level Calculus sequence (Calculus AB) or those included in a full-year, college-level calculus sequence (Calculus BC). Students taking Calculus BC will receive a sub-score grade for the AB portion of the exam in addition to the overall composite grade. Both AP Calculus courses require a similar depth of understanding of common topics, and graphing-calculator use is an integral part of the courses. Both exams contain:

• 1 hour and 45 minutes of multiple-choice questions that tests proficiency on a wide variety of topics.
• 1 hour and 30 minutes of free-response questions that allows the students to demonstrate their ability to solve problems using an extended chain of reasoning.

Both the multiple-choice and free-response sections contain sections where a graphing calculator is required and parts where calculator use is prohibited. List of AP approved graphing calculators can be seen on collegeboard.com.  

Section I - Multiple-Choice: This section has two parts -

• Part A - 55 minutes - 28 questions without calculator
• Part B - 50 minutes - 17 questions using a graphic calculator

Random guessing can hurt the final score of student. While there is nothing to lose for leaving a question blank but one quarter of a point is subtracted for each incorrect answer on the test.

Section II - Free Response: This section also has two parts -

• Part A - 45 minutes - 3 questions using a graphic calculator
• Part B - 45 minutes - 3 questions without calculator

During Part B, one is permitted to continue work on problems in Part A but use of calculators is prohibited during this time.

Scoring Scheme: AP Calculus

Each section (Multiple choice & free response) accounts for one-half of the final exam grade. It is not expected that all questions will be answered to, since there is full coverage of the subject matter.

TransWebTutors.com provides the students an excellent platform to learn about function theory using various existing mathematical techniques and graphing calculator, the rules of differentiation and their applicability, integration techniques their applications.

Currently at transwebtutors we offer tutoring for the AP Calculus (AB & BC both), AB Biology, AP Chemistry, AP Computer Science A, AP Computer Science AB, AP Physics B, AP Physics C, AP Statistics. Other Advanced Placement courses will soon follow.

We customize the package based on your availability and performance in the diagnostic test. TransWebTutors.com provides online tutors who are experts in analyzing the student's strengths and weaknesses, and thus design the package so that students can master every section.

AP Calculus AB

Fast Track Course

Exhaustive Course

AP Calculus BC

Fast Track Course

Exhaustive Course

The duration for Exhaustive course for AP Calculus BC preparation in different topics is given below. Exhaustive coverage of topics and sub-topics is carried out.

Diagnostic Test and Discussion (Free)

I. Functions, Graphs, and Limits

A. Analysis of Graphs (2 hrs)

B. Limits of Functions (incl. one-sided limits) (2 hrs)

C. Asymptotic and Unbounded Behavior (2 hrs)

D. Continuity as a Property of Functions (2 hrs)

E. *Parametric, Polar, and Vector Functions (2 hrs)

II. Derivatives

A. Concept of the Derivative (4 hrs)

B. Derivative at a Point (2 hrs)

C. Derivative as a Function (3 hrs)

D. Second Derivatives (4 hrs)

E. Applications of Derivatives (4 hrs)

F. Computation of Derivatives (2 hrs)

1^st Revision after Differentiation (1 hrs)

III. Integrals

A. Interpretations and Properties of Definite Integrals (4 hrs)

B. *Applications of Integrals (4 hrs)

C. Fundamental Theorem of Calculus (3 hrs)

D. Techniques of Anti-differentiation (2 hrs)

E. Applications of Anti-differentiation (4 hrs)

F. Numerical Approximations to Definite Integrals (3 hrs)

2^nd Revision after Integration (1 hrs)

IV. *Polynomial Approximations and Series

A. *Concept of Series (2 hrs)

B. *Series of constants (2 hrs)

C. *Taylor Series (4 hrs)

Overall Revision in the end (1 hrs)

Final Test and Discussion (Free)

For detailed course content, Click Here