Date

Assignment

TA for a Day

8/28/02 
Topic 0: Functions. Find the classroom. Find class
web site. Buy the book.


8/29/02 
Review 1.1, 1.3.
Reading Quiz 0.
 (1.1) What are the four ways to represent a function?
 Give an example.
 (1.3) Think about the graph of f(x)=x^2. What do the graphs
of f(x+2) and f(x)+2 look like?
 If g(x)=x+2, write the two previous functions as
compositions of f and g.
Sign up for TA for a Day.


9/3/02 
Topic 1: Special Functions.
Review 1.2, 1.5, 1.6.
Reading Quiz 1.
 (1.2) What do the graphs of sine and cosine look like?
 What are their domains? What are their ranges?
 What is the period of these functions?
 (1.5) What does the graph of f(x)=a^x look like when (i)
0<a<1, (ii) a = 1, (iii) a>1?
 Try out the laws of exponents (p.58) for the case where a=2
and x and y are integers. Do they make sense, from what
you know about multiplication?
 (1.6) Exercises 1a, 1b and 2a.
 What is the horizontal line test?
Questions on HW 0?

Steven Bitner

9/4/02 
Questions on HW 0?

Juliet Lao (reschedule)

9/5/02 
HW 0 due: (1.1) 2, 4, 6, 8, 16, 20, 32,
34; (1.3) 4, 36, 38, 54, 56, 62
HW Quiz 0.

Susan Lai

9/10/02 
Topic 2. Velocity and
Limits
Read 2.1, 2.2 (get the main ideas).
Reading Quiz 2.
 What is the definition of average velocity?
 What is the definition of instantaneous velocity?
 Consider the symbols lim_{x>a}f(x) = L. Explain
what this means in English.
Questions on HW1?

Lourdes Recto

9/11/02 
Questions on HW1?

Jeff Miller

9/12/02 
HW 1 due: (WS2) 15. (1.6) 20, 21, 22
Yes, and HW Quiz 1. Expect a HW Quiz every time the
HW is due. 
Linh Troung (reschedule) 
9/17/02 
Topic 3. Velocity,
Tangents and Limits
Review 2.2, Read 2.3, and Skim 2.7.
Reading Quiz 3.
 In (2.2) Example 3, how do you use a calculator to estimate
lim_{x>0} (sin x)/ x?
 What is lim _{x>0} 1/x^2 ?
 Give an example of a function where the lefthand limit at
a point does not equal the righthand limit at a point.
Questions on HW2?

Paul D. Wraa
(reschedule)

9/18/02 
Questions on HW2? 
Wendy Stovall

9/19/02 
HW 2 due.
(WS3) 13, 4a. (2.1) 5, 6, 8. Extra
Credit: (WS3) 4b, 4c.
BIG QUIZ. Don't panic. This is going to be a somewhat
bigger version of the usual Homework Quiz. It will be based on all past
homeworks and worksheets and should take about 3040 minutes.


9/24/02 
Topic 4. Velocity, Tangents and Rates
of Change
Skim 2.6 (up to but not including
Precise Definitions, p.141). Read 2.7, all of it.
Reading Quiz 4.
 Explain (2.6) Example 3.
 What is the formula of a tangent line to
the graph of the curve f(x) at the point (x, f(x))?
 Find an equation of the tangent line to
the parabola y=x^2 at the point (2, 4).
Questions on HW3?

Gary Bengier

9/25/02 
Questions on
HW3? 
Rahel Yohannes

9/26/02 
HW3 due. (WS4) 1e, 2(all), 3a, 3b. (2.3)
210 even. HW Quiz too.

Jessica Hale

10/1/02 
Topic
5. Derivatives and Rates of Change
Skim 2.5 (just get the
definitions and ideas of the theorems). Read 2.8.
Reading Quiz 5.
 What's the definition of the derivative of f at a number a?
 What's the relationship between the derivative of a position
function at a and the idea of instantaneous velocity?
 What's the relationship between the f'(a) and the graph
of f?
Questions on HW4?

Juliet Lao

10/2/02 
Questions on HW4?

Wellington Chou

10/3/02 
HW4 due.(2.7)
6, 8, 14ab (see Ex.3), 1626 even. 
Lainya Magana (early)

10/8/02 
Topic 6. Computing
Derivatives
Read 2.9, 3.1 (up to Exponential Functions), 3.2.
Reading Quiz 6.
 What is the definition of a differentiable function?
 Give an example of a function that is continuous at a
point, but not differentiable.
 Write f'(a) in Leibnitz notation.
 What is the derivative of the function f(x) g(x)? (The
functions f and g are multiplied pointwise.)
Questions on HW5? 
Paul McGoldrick

10/9/02 
Questions on HW5?

Paul Wree

10/10/02 
HW5 Due. (2.8)
58, 15, 16, 1924, 29, 30. (WS6) 2, 3.

Akosua Demann

10/15/02 
Topic 7: Derivatives
of Special Functions and Chain Rule
Read 3.1 (Exp Function part), 3.4, 3.5. You might want to review 1.3's
Composition discussion.
Reading Quiz 7.
 At what point on the curve y=e^x is the tangent line
parallel to the line y=2x?
 How do you figure out the derivative of tan x from the
derivatives of sin x and cos x?
 What is the Chain Rule?
Questions on HW6?

WaiYee Chan

10/16/02 
Q on HW6?

Wellman Cheng

10/17/02 
HW6 Due. (WS9)
all. (2.9) 513, 3134. (3.1) 1024 even. Do (3.1) 1024 odd for
practice, but no need to submit it. 
Eric Chen

10/22/02 
Topic 8: The Chain
Rule and Related Rates
Read 3.5 (skip the Proof) and 3.10.
 What is the derivative of sin(x^{2}) ?
 What is the derivative of (sin x)^{2} ?
 Air is being pumped into a spherical balloon (whose volume
at time t is V(t)=(4/3)pi*r(t) as a function of the radius at time t).
Write dV/dt in terms of r and dr/dt.
Q on HW7?

Gaynelle Lewis (sub)

10/23/02 
Q on HW7?

Poorvi Dhabalia (reschedule)

10/24/02 
HW7 Due. (3.2)
1726, 31, 32, 35; (3.4) 818, 29, 30; (WS11) 13.

Dorian Watson (reschedule) 
10/29/02 
MIDTERM. Covers all work through Topic 7. You are
allowed to bring one 3" x 5" index card. Calculators are allowed, but
not required. You should prepare to see questions from the homework and
the worksheets.


10/30/02 
Reread 3.10.
No Reading Quiz this week.

Lawanda Muhammad

10/31/02 
Halloween. Come in
costume for extra credit.
HW8 Due. (3.5) 2240 even. Look at odd ones for practice.

Hayley Marron

11/5/02 
Topic 9: Optimization and Higher
Derivatives
Read 4.1, 4.3 and 4.7.
 What is a critical number? What is their relation to local
maxima/minima?
 What is the Closed Interval Method?
 What is the relationship between the sign of the second
derivative of a function and its graph?
 Explain (4.7) Ex. 1.
Q on HW9?

Tommy Fulwiler

11/6/02 
Q on HW9?

Eduardo Ruelas

11/7/02 
HW9 Due. (3.10)
620 even.

Megha Shah and Poorvi

11/12/02 
Topic 10: More
Optimization and Other Derivatives
Review 4.7. Learn formulas on p.230, 3.8 through Example 6. Skim 4.2.
 What is the derivative of arctan(x)? [Arctangent of x is
the same as the inverse of tangent, sometimes written tan^{1} x.]
 What is the derivative of ln (x^2) ?
 In (4.7) Ex. 2, for the paragraph beginning "Since the
domain of A ...", explain
 why we can't use the argument of Ex. 1, and
 why the critical point is an absolute max, instead of
just a local max.

T.J. Ross

11/13/02 

Brian Oliveira

11/14/02 
HW10 Due.
(4.1) 814, 32, 34, 40, 42, 50, 54, 56, 60, 64.

Lihn T & Amanda D 
11/19/02 
Topic 11: Linear
Approximations and Antidifferentiation
Read 3.11 (skim differentials) and 4.10.
 What is the linearization of (x+3)^(1/2) at a = 1?
 A particle moves in a straight line and has acceleration
given by a(t)=6t+4. Its initial velocity is v(0)=6 cm/s, its initial
displacement is s(0)= 9 cm. Find its position function s(t).

Brandon Yacobellis

11/20/02 

Eduardo & Andrei 
11/21/02 
HW11 Due. (3.6)
4248 even. (3.8) 210, even. (4.7) 10, 12, 14, 16, 18, 36. (WS15) 1,2.
Extra Credit: (WS13) 3.

Mireya & Dorian 
11/26/02 
Topic 12:
Integrals and Riemann Sums
Skim 5.1 with focus on Definitions and Distance Problem. Read 5.2.
 What is the precise definition of area under a graph, as given by Stewart?
 Can you do (5.1) Example 4 with different numbers?
 What is the relationship between the definite integral of f from a to b and area?

John Gan

11/27/02 
HW Quiz Today. HW12 Due. (3.11) 18, (4.10) 2, 10, 16, 30, 32, 34, 36, 45, 46, 48.

Bryant and Lawanda

11/28/02 
No class,
Thanksgiving Holiday 

12/3/02 
Topic 13:
Fundamental Theorem of Calculus
Read 5.3.
 State the two Fundamental Theorems of Calculus.
 Find the area under the sine curve from 0 to Pi/4.
 What is wrong with the calculation in (5.3) Example 8?

Kasia Kappes

12/4/02 
No class, Advising
Day.


12/5/02 
HW Quiz. HW Due: (5.1) 15, 1117

Lolita Smith and Antonio F

12/10/02 
Topic 14:
Fundamental Theorem of Calculus II
Review 5.3. Read 5.4.
 What is the connection between the definite integral from a to b of f(x) with the indefinite integral of f(x)?
 What is the indefinite integral of 1/x?

Clifford AndersonBergman

12/11/02 

Joseph Flores and Chris Cheng

12/12/02 
Review Day. No HW Quiz. HW (don't turn in, but it'll be on the final): (WS19) 4. (5.2) 5,7,29,3033. (5.3) 1, 3, 539, odd.


12/19/02

FINAL EXAM,
1:30pm4:00pm.

