Introductory Calculus

Math 120 section 4 Fall 2007

Dr. Brenton LeMesurier
lemesurierb "at" cofc.edu
4 Greenway room 103, phone 953-5917

This page is for notes about current events and links to resources: things like notes on what I have just covered in class, topics and tests coming up, and upcoming assignments and their due dates.
For other information about this course see the section on course organization in the printed class notes, available as PDF below.

News and important dates coming up

Wednesday December 12

Common Final Exam, 8 till 11 am in MYBK 112

Tuesday December 4

Graded Assignment 4 work can be collected, and solutions are available: page 1 and page 2.

Tuesday December 4

All notes are now available, including a brief study guide, tables of derivatives and integrals, a final list of corrections and other minor changes, and the final notes on the precise definition of a limit, briefly covering Chapter 2, Section 4.

Tuesday November 27

Notes now cover up to Section 5.4, Indefinite Integrals and the Total Change Theorem.

Tuesday November 27

Assignment 4 on definite integrals is due.
If for some reason you are absent on Tuesday November 20, this is the natural way to make of for missing Quiz 9!

Wednesday October 31

A list of all corrections to the notes so far is available.

Tuesday October 29: Quiz 7

This will cover Chapter 4, Sections 1, 2 and part of Section 3. The emphasis will be on sketching curves to illustrate ideas about the connections between the sign of the derivative, increasing and decreasing behavior, and local minima and maxima.

Monday October 29: notes updated online

Notes are now available to Chapter 4, Section 3, covering all Quiz 7 topics.

Friday August 31

The Math lab. at the Center for Student Learning (CSL) in the Addlestone Library is now open for the semester. Its hours are

• 9am-9pm Monday to Thursday
• 9am-noon Friday
• 6pm-9pm Sunday

Handouts

• The comprehensive course notes, so far covering to the end of Chapter 4.
  • Title page.
  • Preface.
  • Table of Contents
  • Organizational Details, like test dates.
  • A Preview of Calculus.
  • Chapter 1. Functions and Models, only Sections 5 and 6 on Exponentials, Inverses and Logarithms.

  Chapter 2. Limits and Derivatives

  • Chapter 2, Sections 1 to 3, 5 and 6 (pages 16 to 28).
    Includes a corrected version of the final page for Section 2.
  • New: Chapter 2, Section 4 The Precise Definition of a Limit.
  • Chapter 2, Section 7 Tangents, Velocities, and Other Rates of Change (pages 29 and 30).
    Includes the corrected version of page 29 mentioned below.
  • A corrected version of page 29, the first page of Section 2.7.
    The only change is the second formula, for m, which is the limit as x->a of the expression in the first formula.
  • Chapter 2, Section 8 Derivatives (page 31).
  • Chapter 2, Section 9 The Derivative as a Function (pages 32-34).

  Chapter 3. Differentiation Rules

  • Chapter 3, Section 1 Derivatives of Polynomials and Exponential Functions (pages 35-38).
  • Chapter 3, Section 2 The Product and Quotient Rules (pages 39-40).
  • Chapter 3, Section 3 Rates of Change in the Natural and Social Sciences (pages 41-42).
  • Chapter 3, Section 4 Derivatives of Trigonometric Functions (pages 43-44).
  • Chapter 3, Section 5 The Chain Rule: Derivatives of Compositions (pages 45-47).
  • Chapter 3, Section 6 Implicit Differentiation and 7 Higher Derivatives (pages 48-50).
    Includes the addendum on procedure for implicit differentiation.
  • Addendum to Chapter 3, Section 6 on procedure for implicit differentiation.
  • Chapter 3, Section 8 Derivatives of Logarithmic Functions (pages 51-53).
  • Chapter 3, Section 10 Related Rates of Change (pages 54-55).
  • Chapter 3, Section 11 Linear Approximation and Differentials (pages 56-58).

  Chapter 4. Applications of Differentiation

  • Chapter 4, Section 1 Maximum and minimum Values (pages 59-60).
  • Chapter 4, Section 2 The Mean Value Theorem (pages 61-62).
  • Chapter 4, Section 3 How Derivatives Affect the Shape of a Graph, now complete (pages 63-65).
  • Chapter 4, Section 4 l'Hopital's Rule (pages 66-67).
  • Chapter 4, Section 5 Summary of Curve Sketching (page 68).
  • Chapter 4, Section 7 Optimization (page 69).
  • Chapter 4, Section 10 Antiderivatives (pages 70-71).
  • A list of changes and corrections, up to October 31.

  Chapter 5. Integrals

  • Chapter 5, Section 1 Areas and Distances.
  • Chapter 5, Section 2 The Definite Integral, final version (corrected and expanded).
  • Chapter 5, Section 3 The Fundamental Theorem of Calculus.
  • Chapter 5, Section 4 Indefinite Integrals and the Total Change Theorem.
  • Chapter 5, Section 5 The Substitution Rule.
  
  
• The voluntary survey handed out in class.
• Assignment 1.
• Assignment 2.
• Assignment 3.
• Assignment 4
• Assignment 4 Solutions, page 1 and page 2.