Honors Calculus II
Honors Calculus II Course Description
The prerequisite for this course is a college level Calculus I or AP® Calculus AB course. Below is a list of Calculus I topics that this course assumes students have studied. Honors Calculus II begins with Euler's Method, Arc Length, Logistics Growth Models, Integration by Parts and integration with partial fractions. Following will be an extensive study of parametric equations, vectors, and polar equations utilizing Calculus concepts. We will finish up our course with infinite sequences and series. There are many "tests" to determine convergence of series. These will be explored as well as Taylor and Maclaurin Series, and representations of functions as power series. This is an honors course that equates to a semester long Calculus II course at most colleges and universities. 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.
If your student needs a more "gentle" course, a pass/fail option is available. Mrs. London will provide weekly feedback on all assessments. If this is the option your student wants to pursue, please advise Mrs. London by the start of classes.
If your student needs a more "gentle" course, a pass/fail option is available. Mrs. London will provide weekly feedback on all assessments. If this is the option your student wants to pursue, please advise Mrs. London by the start of classes.
A typical week in Honors Calculus II
At the beginning of each class, time will be devoted to answering any questions students may have from their homework practice. Following will be the lesson with time for students to practice topics learned. A brief break period will be incorporated into the class.
Between classes, it will be expected that students watch a recording of all homework practice problems and make note of any additional questions they may still have after viewing the homework solutions recording. These additional questions will be answered in the first part of the next class.
At the beginning of each class, time will be devoted to answering any questions students may have from their homework practice. Following will be the lesson with time for students to practice topics learned. A brief break period will be incorporated into the class.
Between classes, it will be expected that students watch a recording of all homework practice problems and make note of any additional questions they may still have after viewing the homework solutions recording. These additional questions will be answered in the first part of the next class.
Calculus I topics that are prerequisites for Honors Calculus II:
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.
Before you register:
High School Math Live wants your student to be placed in the appropriate course so that they will be successful and challenged while learning the beauty of mathematics. We would like for you to view a checklist of items to consider before joining our HSML family and also view an "Honors Calculus II Course Preparedness" document which we believe will be a good indicator of whether your student is ready for this course.
High School Math Live wants your student to be placed in the appropriate course so that they will be successful and challenged while learning the beauty of mathematics. We would like for you to view a checklist of items to consider before joining our HSML family and also view an "Honors Calculus II Course Preparedness" document which we believe will be a good indicator of whether your student is ready for this course.
DetailsTotal Cost: $675/year (not including book)
General Tuition Details Teacher: Regina London Click teacher name for bio, sample class recording, and more! Class times are in Central Time Zone.
Calendar: HSML 2020-2021 Calendar College Textbook: Textbook information ISBN: 9780538498678 Do these class times conflict with your schedule? Click here. |
To Register...
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Technology and Supplies:
Classes are held virtually via Citrix 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 (at the latest) by the morning 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 "Meet the Teacher" page. Click on their name above to see that page. |