Date
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Assignment
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TA for a Day
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| 8/28/02 |
Topic 0: Functions. Find the classroom. Find class
web site. Buy the book.
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|
| 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 limx->af(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) 1-5. (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
limx->0 (sin x)/ x?
- What is lim x->0 1/x^2 ?
- Give an example of a function where the left-hand limit at
a point does not equal the right-hand 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) 1-3, 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 30-40 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)
2-10 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), 16-26 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)
5-8, 15, 16, 19-24, 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?
|
Wai-Yee Chan
|
| 10/16/02 |
Q on HW6?
|
Wellman Cheng
|
| 10/17/02 |
HW6 Due. (WS9)
all. (2.9) 5-13, 31-34. (3.1) 10-24 even. Do (3.1) 10-24 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(x2) ?
- 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)
17-26, 31, 32, 35; (3.4) 8-18, 29, 30; (WS11) 1-3.
|
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) 22-40 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)
6-20 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) 8-14, 32, 34, 40, 42, 50, 54, 56, 60, 64.
|
Lihn T & Amanda D |
| 11/19/02 |
Topic 11: Linear
Approximations and Anti-differentiation
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)
42-48 even. (3.8) 2-10, 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) 1-8, (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) 1-5, 11-17
|
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 Anderson-Bergman
|
| 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) 5,7,29,30-33. (5.3) 1, 3, 5-39, odd.
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12/19/02
|
FINAL EXAM,
1:30pm-4:00pm.
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