Syllabus (pdf)

Survey (pdf)

Diagnostic Quiz (pdf)

Solutions to Diagnostic Quiz (pdf)

Limit.m, a Matlab function to estimate limits using a table of values

Project 1 (pdf file)

FindZero.m

Exam One (Questions) [pdf]

Exam One (Solutions) [pdf]

Project 2 (pdf file)

CurvedPiece.dat

Exam 2 is on Friday Nov 12th and will cover 3.1-3.10 and 4.1-4.3.

In additon to the required and recommended hwk problems I suggest the following review
problems

Page 213 Concept Check: 2-7

Page 213 T/F: 1,3,5,8,9,10

Page 214 Ex: 1,2,4-7,10,11,13-48,51-66,69-72,75-79,83-86.

Page 308 Concept Check: 1-4

Page 308 T/F: 1-5

Page 309 Ex: 1-6,33-35

Bisection.m

Newton.m

MyFunction.m

MyDerivative.m

Results

Project 3 [pdf]

This project is due on FRIDAY December 10th. Note the change in due date!!

Exam 3 is on Monday Dec 6th and will cover 4.4,4.5,4.7,4.9,4.10 and 5.1-5.3.
See information on Final exam below for theoretical material from these scetions
that may be examined on Midterm Exam 3.

In additon to the required and recommended hwk problems I suggest the following review
problems

Page 308 Concept Check: 7,9,10

Page 308 T/F: 16,17

Page 309 Ex: 17-28,38-47,49-51,53-58,61,62

Page 368 Concept Check: 1-3

Page 368 T/F: 1-8

Page 369 Ex: 1-5,7-14,33-44,52,54,56

The final exam will cover all the material covered on the first three exams as well as 5.4, 5.5, and 6.1

Just as there was on the Midterm Exams there will be some theoretical questions on the Final Exam.
Here is a list of Definitions, Theorems and Proofs that I could ask about on the Final Exam.
I may also ask you to use these theorems/definitions to solve problems that are the same as or very similar
to problems that are on the required/recommended or review problems.

Precise definition of limit [Defn 2, p 93]

Definitions of left-hand and right-hand limit [Defns 3,4, p96]

Definition of infinite limit [Defn 6, p99]

Statements of limit laws 1-11 and Direct Subsitution Property [p82-85]

Statement of Theorem on left and right hand limits [Thm 1, p87]

Statement of Squeeze Theorem [Thm 3, p88]

Definition of continuity [Defns 1,2,3, p102-104]

Statement of Continuity Theorems 4-9 [p105-108]

Statement of Intermediate Value Theorem [p109]

Definition of Derivative and interpretation as slope and rate of change [p127-9]

Definition of a Differentiable function [p139]

Statement and PROOF of fact differentiable functions are continuous, and counterexample for converse
[Thm 4, p140-1]

Definition of Vertical tangent line [p141]

Statements of all boxed differentation rules in 3.3 [p145ff]

PROOF of Power Rule for Differentiation (Case n is an integer)

PROOF of Product Rule for Differentiation

Statements of Derivative Theorems for Trig Functions [p172]

Proof that derivative of sin(x) is cos(x) given the limits [2] and [3] on page 170-1.

Statement of Chain Rule [p176]

Definitions of linear approximation and differentials, and pictures in Figs 1,6 on pages 205-208

Definitions of absolute and local max/min [p223-4]

Statement of Extreme Value Theorem [p225]

Statement and PROOF of Fermat's Theorem [p227]

Defn of crtical numbers and values [p227]

Statement of Closed Interval Method [p227]

Statements and PROOFS of Rolle's Thm and Mean Value Theorem

Defns of increasing/decreasing, concave up/down, inflections points

Statements of Inc/Dec Test, Concavity Test, 1st and 2nd Derivative tests

PROOF of Inc/Dec Test

Defns of limits at infinity and horizontal asymptotes [p251,257-9]

Defns of slant asymptotes

Statement and counterexamples for Newton's method

Defns of antiderivatives and Table 2 [p301]

Defn of Area as left/right-hand sum [p320]

Defn of definite integral [p326]

PROOF that right-hand sum is larger than left-hand sum for an increasing function

Statements of Properties 1-8 of definite integrals [p334-336]

Statements and PROOFS of FTC I and II

Statement of The Net Change Thm [p354]

Statement and PROOF of the Substitution Rule [p361,363]

Solutions to Quiz 3 [pdf]

Solutions to Exam 3 [pdf]

Last modified Aug 30, 2004