AP® Calculus BC
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AP® Calculus BC Course Description
Our HSML course is designed for students who have had Calculus I or AP® Calculus AB and are ready for the challenge of learning AP® Calculus BC (Calculus II) content. Taking the AP® Calculus BC exam for university credit is not a requirement of this course.
Our learning objectives are primarily focused on the AP® Calculus BC (Calculus II) content, which equates to a semester long Calculus II course at most colleges and universities. Our course begins with further exploration of L'Hospital's Rule and additional integration techniques. Then we will move our discussions to sequences and series including Taylor and Maclaurin Series and learn how to represent functions as power series. Euler's Method, logistic growth models, parametric curves, vectors, polar curves will also be discussed. Even though we cover a college level course over an entire school year, the pace is still brisk. This is a challenging course that uses a college level textbook, written by James Stewart, which includes all the necessary concepts to prepare for a rigorous college calculus class and/or the AP exam.
If your student chooses to take the AP® Calculus BC test in May, students can receive usually 6-8 hours of college credit for Calculus I and Calculus II upon a successful exam. The AP® Calculus BC exam covers BOTH AB and BC content. Students will receive an AB score AND a BC score. Colleges and universities vary on what they accept as a "passing" score and how many hours they grant. Often it is dependent upon the student's intended major.
Our learning objectives are primarily focused on the AP® Calculus BC (Calculus II) content, which equates to a semester long Calculus II course at most colleges and universities. Our course begins with further exploration of L'Hospital's Rule and additional integration techniques. Then we will move our discussions to sequences and series including Taylor and Maclaurin Series and learn how to represent functions as power series. Euler's Method, logistic growth models, parametric curves, vectors, polar curves will also be discussed. Even though we cover a college level course over an entire school year, the pace is still brisk. This is a challenging course that uses a college level textbook, written by James Stewart, which includes all the necessary concepts to prepare for a rigorous college calculus class and/or the AP exam.
If your student chooses to take the AP® Calculus BC test in May, students can receive usually 6-8 hours of college credit for Calculus I and Calculus II upon a successful exam. The AP® Calculus BC exam covers BOTH AB and BC content. Students will receive an AB score AND a BC score. Colleges and universities vary on what they accept as a "passing" score and how many hours they grant. Often it is dependent upon the student's intended major.
Calculus I topics that are prerequisites for HSML AP® Calculus BC (BC content only)
Chapter 2 (omit 2.4), Chapter 3 (omit 3.11), Chapter 4 (omit 4.8), Chapter 5, Chapter 6 (omit 6.4), Chapter 9. 1 - 9.3 (omit Euler's Method).
Click here for a PDF of the Table of Contents.
- Limits including L'Hospital's Rule and Limits at Infinity
- Continuity
- Derivatives and Rates of Change
- Differentiation Rules including Product and Quotient Rules, Chain Rule
- Implicit Differentiation
- Related Rates and Optimization Problems
- Straight-Line Motion: position, velocity, acceleration
- Applications of the derivative including graphing using Calculus techniques
- Riemann Sums, Integration, Definite/Indefinite Integrals, Substitution Rule
- Areas/Volumes
- Differential Equations, Direction (Slope) Fields and Separable Equations
Chapter 2 (omit 2.4), Chapter 3 (omit 3.11), Chapter 4 (omit 4.8), Chapter 5, Chapter 6 (omit 6.4), Chapter 9. 1 - 9.3 (omit Euler's Method).
Click here for a PDF of the Table of Contents.
Click to visit The College Board AP® Calculus BC Homepage
Click to view an article published by The College Board discussing how this course
can help make your college experience more successful!
The AP® Calculus BC course is officially recognized by the College Board as "meets the expectations
colleges and universities have for AP Calculus BC."
Mrs. London's AP® Calculus BC Exam scores percentages (2005-2015):
5 – 34%, 4 – 26%, 3 – 26%, 2 – 8%, 1 – 5%; 306 students participating; all students were encouraged to take exam
Mrs. London's AP® Calculus AB Exam scores percentages (1991-1997, 2004-2015):
5 – 39%, 4 – 29%, 3 – 22%, 2 – 8%, 1 – 2%; 543 students participating; all students were encouraged to take exam
HSML AB scores 2017-2023 (59 students): 5 - 39.0%, 4 - 23.7%, 3 - 25.4%, 2 - 11.9%, 1 - 0%
HSML BC scores 2022-2023 (4 students): 5 - 75.0%, 4 - 25%, 3 - 0%, 2 - 0%, 1 - 0%
National AB Average 2017-2023: 5 - 19.5%, 4 - 17.3%, 3 - 20.2%, 2 - 23.1%, 1 - 19.9%
National BC Average 2023: 5 - 42%, 4 - 16%, 3 - 20%, 2 - 16%, 1 - 6%
Click to view an article published by The College Board discussing how this course
can help make your college experience more successful!
The AP® Calculus BC course is officially recognized by the College Board as "meets the expectations
colleges and universities have for AP Calculus BC."
Mrs. London's AP® Calculus BC Exam scores percentages (2005-2015):
5 – 34%, 4 – 26%, 3 – 26%, 2 – 8%, 1 – 5%; 306 students participating; all students were encouraged to take exam
Mrs. London's AP® Calculus AB Exam scores percentages (1991-1997, 2004-2015):
5 – 39%, 4 – 29%, 3 – 22%, 2 – 8%, 1 – 2%; 543 students participating; all students were encouraged to take exam
HSML AB scores 2017-2023 (59 students): 5 - 39.0%, 4 - 23.7%, 3 - 25.4%, 2 - 11.9%, 1 - 0%
HSML BC scores 2022-2023 (4 students): 5 - 75.0%, 4 - 25%, 3 - 0%, 2 - 0%, 1 - 0%
National AB Average 2017-2023: 5 - 19.5%, 4 - 17.3%, 3 - 20.2%, 2 - 23.1%, 1 - 19.9%
National BC Average 2023: 5 - 42%, 4 - 16%, 3 - 20%, 2 - 16%, 1 - 6%
Details
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Teacher: (Click teacher name for bio, sample class recording, and parent feedback comments!)
Regina London Textbook Information: Name of Textbook: James Stewart: Single Variable Calculus Early Transcendentals 7th edition ISBN: 9780538498678
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Total Cost: $390/semester; 780/year (not including book)
General Tuition Details Class Times (listed in Central Time Zone) London: TTh 2:00 pm - 3:25 pm CST *If there are no class times that fit your needs, please consider AMP. Calendar: HSML 2023-2024 Calendar for AP Calculus Classes |
Registration
Before you register:
- Please view this checklist of items before registering for a course with HSML. It is necessary to go through this checklist in order to ensure that HSML classes are a fit for your family.
- Click here for Ten Reasons why NOT to join our High School Math Live family.
- Click here for Tuition Details (including withdrawal and refund policies.)
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Technology and Supplies:
Classes are held virtually via GoToMeeting. Instructions to attend class will be posted on the the teacher's class page. Your student will need a computer, headset with microphone, and good internet connection. |
Recordings:
Every class session will be recorded and the links to the recordings will be posted within a few hours after the class on the teacher's class page. Teachers who have taught with High School Math Live have a full-length recording of a live class posted on their personal bio page. Click on their name above to see that page. |
