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At My Pace (AMP) Honors Calculus II Course Descriptions
This course is designed only for students who have have completed either Calculus I or AP® Calculus AB and are ready to begin working on Calculus II concepts but will not be taking the College Board AP® Calculus BC exam.
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.
To view a sample lesson, click here. You will be prompted to enter your email address.
Read more about WASC accreditation to learn what this means for your student.
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.
To view a sample lesson, click here. You will be prompted to enter your email address.
Read more about WASC accreditation to learn what this means for your student.
Calculus I topics that are prerequisites for HSML 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.
AMP Honors Calculus II Course A ($350)Unit 1: More on L'Hospital's Rule, Additional Integration Techniques, Arc Length with Functions
Unit 2: Euler's Method, Logistic Growth Models Unit 3: Parametric Equations, Calculus with Parametric Curves, Vectors Unit 4: Polar Coordinates, Calculus with Polar Curves, Areas and Lengths in Polar Coordinates Unit 5: Course Review |
AMP Honors Calculus II Course B ($350)Unit 1: Improper Integrals, Sequences
Unit 2: Tests for Series to determine convergence/divergence Unit 3: Power Series and Representations of Power Series Unit 4: Taylor and Maclaurin Series Unit 5: Course Review |
Honors Calculus II Course Preparedness Document
High School Math Live wants your student to be placed in the appropriate AMP course so that they will be successful and challenged while learning the beauty of mathematics. Our Honors Calculus II Course Preparedness Document contains questions we believe will be a good indicator of whether your student is ready for AMP Honors Calculus II Course A. Although it is not required that your student complete these problems, it is a helpful tool that we have prepared for you to use. If you are entering the "B" course, and you are unsure if your student is ready for the "B" course, please contact [email protected].
AMP Tuition Information |
Textbook Information |
Registration/Payment for AMP Honors Calculus IICalculator Information: |
Name of Textbook: James Stewart: Single Variable Calculus Early Transcendentals 7th edition
ISBN: 9780538498678
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