The Principles of Calculus II

Core Problems

Basic Exercises

V. Finite Approximation

Link to: V. Finite Approximation

V.1. The Elementary Notion of Area

V.2. Sequences

V.3. Measurement of a Circle

V.4. Summation

V.5. Limits

V.6. Continuous Functions

V.7. Analysis of Error

V.8. Approximating Change

V.9. Approximating Area in the Plane

VI. Local Linear Approximation

VI.1. Approximation by the Tangent Line

VI.2. Differentiating Elementary Functions

VI.3. Rigidity and the Local Linear Approximation

VI.4. Shape and Change

VI.5. Applications of the Mean Value Theorem

VI.6. Curves and Surfaces

© Copyright 2023 by the POC Writing Team: Bryan Carrillo, Dylan Noack, project PI Yat Sun Poon, and lead author David Weisbart.All rights reserved. No part of this publication may be reproduced or transmitted in any form or by any means, electronic or mechanical, including photocopy, recording, or any information storage and retrieval system, without permission in writing from David Weisbart and the POC Writing Team.

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