Introductory Calculus
Math 120 Sections 3 and 6 Fall 2009
Dr. Brenton LeMesurier
lemesurierb "at" cofc.edu
4 Greenway room 103, phone 953-5917
Last updated Thursday November 19, 12:35pm.
Latest News
There will be a short supplementary "Test 3.1" in class on Friday November 20, on Curve Sketching and Optimization.
Some notes about the Common Final Exam for all sections of Math 120 at 8-11AM, Wednesday December 9.
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No calculators will be used, or needed!
If any answer involves a fraction or irrational quantity like sqrt(2), it can and should be left like that, rather than reduced to a decimal.
This means that towards the end of the exam, you will be able to go over and check all your work, so I think it will help you.
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You might be asked to state carefully one of the following four important theorems:
- The Extreme Value Theorem (EVT)
- The Mean Value Theorem (MVT)
- The Fundamental Theorem of Calculus, part 1 (FTC1)
- The Fundamental Theorem of Calculus, part 2 (FTC2)
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There will be, as usual, questions that require you to know and use two important definitions:
- Computing a limit using only the definition in terms of epsilon and delta (ε and δ, or call them E and D), as in Section 2.4.
- Computing a derivative using only the definition in terms of limits, as in Sections 2.7 and 2.8.
Here are my solutions for Test 3.
We will review some of these in class this week.
Handouts are now available online up to Section 5.3, the Fundamental Theorem of Calculus.
But do not waste paper printing them if you can avoid it: I have spare copies of all notes back to Section 4.9 and before.
The Common Math 120 Final Exam locations and times are out: see below.
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Here is a Mock Test 3:
Section 3.10 Exercises 17 and 23.
Section 4.7 Exercises 31.
Chapter 4 Review (pages 348-9), Exercises 3, 9, 15, 19, 45.
And here are the solutions.
My office hours have changed: see below.
Where is Dr. LeMesurier? Office Hours etc.
Here is my calendar for the rest of the Fall semester.
It includes my new office hours, updated October 20:
- Regular Office Hours: Monday to Thursday 2-3.
- Alternative Office Hours (let me know in advance the time you want to come): Monday to Thursday 3-5.
I changed the times because 3pm is taken sometimes by meetings, scheduled on short notice.
So if you want to see me any Monday through Thursday but you cannot come between 2 and 3, just let me know that you want to come instead at some time from 3 to 5pm.
4pm or later should always work; from 3-4pm I am free most days, but might have another meeting scheduled.
WebAssign: Online Homework System
Instead of quizzes, we will be using a combination of in-class group exercises and the online homework system
WebAssign.
Some places to start with WebAssign are
Important dates coming up
- Friday November 20
- Short Supplementary Test 3.1
- Wednesday to Friday, November 25 to 27
- Thanksgiving Break --- no classes
- Friday December 4
- Test 4
- Wednesday December 9, 8-11AM
- Common Final Exam
- For Section 3 (MWF@10) in MYBK 206.
- For Section 6 (MWF@12) in MYBK 211.
Here are the notes so far, formatted for reading on-screen and for one-sided printing,
section by section:
Title page
Preface and Syllabus
"Chapter 0" A Preview of Calculus
Corrections and revisions to the notes
to Section 4.7, as of November 2.
Chapter 1. Functions and Models
Selected review topics only
Chapter 1, Section 5 Exponential Functions
Chapter 1, Section 6 Inverse Functions and Logarithms
Chapter 2. Limits and Derivatives
Chapter 2, Section 1 The Tangent and Velocity Problems
Chapter 2, Section 2 The Limit of a Function
Chapter 2, Section 3 Calculating limits Using The Limit Laws
Chapter 2, Section 4 The Precise Definition of a Limit
Chapter 2, Section 5 Continuity, all five pages,
of if you have part but not all this section:
Chapter 2, Section 5 Continuity page 2.5.1
Chapter 2, Section 5 Continuity page 2.5.2
Chapter 2, Section 5 Continuity page 2.5.3
Chapter 2, Section 5 Continuity page 2.5.4
Chapter 2, Section 5 Continuity page 2.5.5
Chapter 2, Section 6 Limits at Infinity: Horizontal Asymptotes,
with correction: π/2 instead of π for the limit at ∞ of the inverse tangent.
Chapter 2, Section 7 Derivatives and Rates of Change
Chapter 2, Section 8 The Derivative as a Function
Chapter 3. Differentiation Rules
Chapter 3, Section 1 Derivatives of Polynomials and Exponential Functions
Chapter 3, Section 2 The Product and Quotient Rules
Chapter 3, Section 3 Derivatives of Trigonometric Functions
Chapter 3, Section 4 The Chain Rule: Derivatives of Compositions
Chapter 3, Section 5 Implicit Differentiation
Chapter 3, Section 6 Derivatives of Logarithmic Functions
Chapter 3, Section 9 Related Rates of Change
Chapter 3, Section 10 Linear Approximation and Differentials
Chapter 4. Applications of Differentiation
Chapter 4, Section 1 Maximum and minimum Values.
Chapter 4, Section 2 The Mean Value Theorem.
Chapter 4, Section 3 How Derivatives Affect the Shape of a Graph.
Chapter 4, Section 4 l'Hopital's Rule.
Chapter 4, Section 5 Summary of Curve Sketching.
Chapter 4, Section 7 Optimization.
Chapter 4, Section 9 Antiderivatives.
Chapter 5. Integrals
Chapter 5, Section 1 Areas and Distances.
Chapter 5, Section 2 The Definite Integral.
Chapter 5, Section 3 The Fundamental Theorem of Calculus.
Chapter 5, Section 4 Indefinite Integrals and the Total Change Theorem.
A lot of students have asked this question, since the College bookstore has about five different versions of the text, all variations of "Calculus, Early Transcendentals" by James Stewart, sixth edition.
Firstly, we will be using the WebAssign online system for doing homework, so you want one of the "bundle" versions, which includes access to this.
If you buy the text somewhere else, you need to buy WebAssign access separately.
Next, which version is best for you depends on how far you plan to go in the calculus sequence:
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If you plan to do only Math 120,
then you can get the smallest version
Single Variable Calculus: Early Transcendentals, Volume 1.
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If you plan to do Math 120 and Math 220 (Calculus 2) but not Math 221 (Calculus 2),
then you can get
Single Variable Calculus: Early Transcendentals,
which just adds extra chapters.
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If you plan to do the sequence Math 120, 220 and 221,
then you need
Calculus: Early Transcendentals,
which adds yet more chapters.
Brenton leMesurier, Department of Mathematics, College of Charleston