|
Due
Date |
Homework
from Monday/ Wednesday lectures |
Preparation
for Certification Exam |
Class
Projects |
|
|
1/20 |
None.
|
For this and all future reviews, you can choose which 5 exercises to do. Please submit a total of 5 exercises only; the grader will be instructed to only grade the first 5 solutions that are submitted. At the top of your write-up, you must also write a statement attesting that you have at least thought about all assigned problems. Points will be deducted if you do not write this statement. (This does not mean that you solved all of the problems --- just that you gave some thought about how to solve every problem.) |
Be
ready to present your responses to Questions 1-9. All presentations will be peer-graded. |
The
first
class project concerns various ideas that could be used to engage
students with topics in the secondary mathematics curriculum. Topics
will be assigned on a first-come, first-served basis. You are welcome to sign
up by e-mail, but please suggest about 5-10 different topics (in priority
order) in case your first choice is no longer available. |
|
1/27 |
p. 203: 19(a-c p. 243: 6, 11, 19(e), 20, 24, 27, 31, 44 Slight change: p. 203 #19(d) will
be due on 2/3, as we will not quite cover enough material this week for you
to be able to complete the required proof. |
|
For
this week and the rest of the semester, be ready to answer any of the next
few questions. |
Part
1 (Pre-Algebra and Probability/Statistics) is due. Be sure to title your file
in the form John_Doe_15.docx, as indicated in the instructions. If you're
free, I encourage you to attend the talk Teaching
through Technology: Math Lessons Through Wii Sports, which will be given
from 12-1 on Friday, 1/27. |
|
2/3 |
p.
244: 16, 25, 26, 32, 48 p.
251: 6, 9, 13 Notes on p. 244: · To start
#32, you may get inspiration from listing out a few numbers x < 200 that work. Try to guess a pattern
that contains infinitely many x,
and then prove that any x in this
pattern always works. · #48 is
identical to p. 203, #19(d) |
|
|
If you're
free, I encourage you to attend the talk Climate
change: current status, atmospheric statistical methodology, and related
career opportunities, which will be given from 12-1 on Friday, 2/3. |
|
2/10 |
p.
253: 2, 9 (Remember: to disprove something, you only need one
counterexample.) p.
254: Let's Go 4 p.
263: 2, 10 Problem 3.1: Here's a popular magic
trick for children: (a) Take any 3-digit number in
which the first and last digits differ by 2 or more. (b) Reverse the number, and
subtract the smaller of the two numbers from the larger (e.g. 782-287=495). (c) Then reverse the result and
add (thus 495+594=1089). Prove
that you always end up with 1089. Problem 3.2: (a) Here's a second magic trick. Cut out the six numbered cards, read the
instructions, and perform this trick (either by yourself of for a friend).
Write a statement attesting that you actually did do this. (b) Use binary numbers to
explain why this magic trick works. Hint:
Find the binary representation of the first few numbers on each of the six
cards. Do you see a pattern? |
Note:
For Problem 4.1, the ray from the origin intersects the unit circle at the
point (0.8, 0.6). |
|
Part
2 (Algebra I and Algebra II) is due. I've
decided to give you additional choices of topics. You may request a
previously unselected topic in probability/statistics (38-59 of Part 1), or
you may choose a topic in Algebra I/II. If you're
free, I encourage you to attend the talk Riemann's
zeros and the rhythm of the primes, which will be given from 5-6 on
Tuesday, 2/7. |
|
2/17 |
EXAM #1 on 2/15 The
review will be held on 2/13. We will not cover all
of these problems in a 50-minute class; instead, I will take requests. No
homework from the text is due on 2/17. Comments
on Review #1: Part 1 and Part 2 |
|
|
FYI: The
Tk20 application for fall 2012 student teaching will be open from February 12th-February
24th, 2012. Students planning to complete their student teaching
in the fall 2012 semester must apply through Tk20 during this
time period. Informational meetings will be offered. NO LATE
APPLICATIONS WILL BE ACCEPTED http://www.coe.unt.edu/clinical-practice-office/calendar |
|
2/24 |
p.
254: Let's Go 3, 5 p.
263: 11, 18, 19, 20(b-d), 23, 24 Be sure to
follow the instructions; in particular, show all of your work and don't just
plug into a calculator. |
|
|
Part 3 (Geometry)
is due. If you haven't
selected a question from all five areas yet, I encourage you to select questions
from the remaining area(s) for this week's submission. If
you're free, you're welcome to attend my talk Using
Precalculus to Derive the Taylor Polynomials of sin
x, which will be given 12-1 on 2/24 in GAB 461. I hope you'll find the
talk both accessible and interesting. |
|
3/2 |
p.
229: 2, 3(cd), 5, 8 p.
265: 21, 22, 26, 27 |
|
A second-chance Friday session will be held on 3/2, beginning
at 9:50 in Life Sciences A111. If you participate, be ready to go to the board twice.
Questions will be selected from the following Precalculus questions: 131-132, 139, 142-144, 149, 152-154, 157-165, 176-179,
189-195 |
|
|
3/9 |
p.
230: 6, 7 p.
347: 2, 5, 9(a) p.
353: 4, 5, 10 Notes: · For p. 230 #6 and #7, the expressions
were given in class and in the class notes. You need to prove that these
expressions are true. Don't just state them without proof. · Regarding p. 347 #2 and #5: Since we
didn't cover Section 12.1 in class, I just expect you to experiment with a
graphing calculator until you find cubic polynomials that meet the given
criteria. That said, it is possible to construct such polynomials more systematically,
and you are welcome to try to find out how to do these problems without
blinding guessing. · Hint for p. 353 #5: Start with f(x)
= x2 – p, and argue by contradiction. · For p. 353 #10, find the both the
possible number of positive roots and the possible number of negative roots. |
|
|
Part 4 (Precalculus) is due. Remember that you are responsible for ensuring that you've
answered at least one question from all five sections. I've decided to give you additional choices of topics. You
may request any previously unselected topic, whether in Part 4 or in Parts
1-3. When submitting your work, please title your document in the form John_Doe_45_Part1.docx. I have also decided to allow late submissions for previous
parts of the project. If you took a 0 on any previous part of the project, you
may request a topic and write up your work for half credit. These are due by
11:59 pm on 3/9, without exceptions. |
|
3/16 |
EXAM
#1 on 3/14 The
review will be held on 3/12. We will not cover all
of these problems in a 50-minute class; instead, I will take requests. No
homework from the text is due on 3/16. Comments
on Review #2: Part 1,
Part 2, and Part 3. |
I will have different office hours this week: 3/12: 1-2 3/13: 10:30-2 3/14: 11-12 |
A second-chance Friday session will be held on 3/16,
beginning at 9:55 in Life Sciences A111. If you participate, be ready to go to the board twice.
Questions will be selected from the following Precalculus questions: 153-154, 157-165, 176-179, 189-195 |
I'm
enacting the following policy to reward the Math 4050 students who did well
on the first class project. When I return Part 4, I will give you both your
grade for Part 4 and your overall grade for the first class project. If
you're content with that overall grade, then you can take that to be your
grade for the second class project without actually doing the second class
project. If
you're not content with your grade for the first class project, then you can
still do the second class project in the hopes of improving your grade. If
you begin the second class project, then you must complete it; your grade for
the second class project will not simply be the higher of the two grades. This policy does NOT apply to those
enrolled in the Math 4900 or 5900 versions of the class. These students are still required to do the second
class project. |
|
3/23 |
SPRING BREAK |
|||
|
3/30 |
p.
347: 6, 8(ab), 10 p.
353: 1, 2 p.
365: 2, 3(a), 7(cde) Notes: · For p. 347 #8, the local extrema and
point of inflection are found by solving
f '(x) = 0 and f ''(x) = 0, respectively. Then verify that the x-coordinate of the point of inflection is the average of the x-coordinates of the two local
extrema. · For p. 347 #10, be sure to give a short
proof as well as the answer. · For p. 365 #2(c), it may also be
helpful to also graph the polynomial (with a calculator) on the interval
[-2,3]. · Hint for p. 366 #7(e): (1-a)(1+a+a2)
= 1-a3. |
|
|
The second
class project can be done with a partner. If you want to work with a partner,
please let your instructor know the name of your partner prior to submission. Part 1 (grading) is due. |
|
4/6 |
p.
278: 3, 12 p.
280: 1(a-d) p.
284: 3, 4 p.
288: 1, 3, 4, 9 |
|
IMPORTANT
NOTICE: BOTH SECTIONS WILL MEET IN THE REGULAR CLASSROOM (GAB 317) ON
APRIL 6. A second-chance Friday session will be held on 4/6,
beginning at 9:55. If you participate, be ready to go to the board twice.
Questions will be selected from the following Precalculus questions: 159-165, 176-179, 189-195 If you'd like to request a second-chance session that does
not meet Friday at 10, please send me an e-mail to let me know. |
The compilation of the Part 1 Class Projects is now available. By request of CAS Computing Services, please do not print out this 233-page document on University printers!. |
|
4/13 |
p.
289: 12(ab) p.
291: 3, 6, 10(abc), 13, 16 p.
307: 1, 2, 5(ac) Notes: · For p. 307, the table can be found on
pages 406-407 of the textbook. Be sure to indicate clearly that you used the
table and not just your calculator. · Also for p. 307, instructions for
linear interpolation can be found at the top of p. 305. · For p. 307 #5(c), ignore the
instruction that says "If a product is required within an exponentiation
problem, compute it via logarithms." |
|
A second-chance Friday session will be held on 4/13
beginning at 9:55. This will be held by the chalkboards on the 4th floor
of GAB, outside the Math Department office. If you participate, be ready to go to the board twice.
Questions will be selected from the following Precalculus
questions: 159-165, 176-179, 189-195 If you'd like to request a second-chance session that does
not meet Friday at 10, please send me an e-mail to let me know. |
Part 2 (group assignment) is due. |
|
4/20 |
The
review will be held on Wednesday, 4/18. We will not
cover all of these problems in a 50-minute class; instead, I will take
requests. FYI: Integration Bee
Friday, April 20, 3:30-5:00 in GAB 105 Due
on 4/20: p.
292: 19, 25(bc) p.
312: 1, 3(b), 5 p.
316: 6 p.
319: 5, 7(abd) Notes: ·For p. 313
#3(b), use the techniques shown in class --- with smaller rectangles and
trapezoids --- to show that e >
2.71 and e < 2.72. ·For p. 317
#6(b), you just need a value of h,
not the largest value of h. |
IMPORTANT
NOTICE: The section that had been meeting in Biology A111 is done with Friday
presentations for the rest of the semester. These students are still
responsible for submitting their weekly homework by Friday, 9 am. It can be
left in my mailbox or under my door, faxed to 940-565-4805, or e-mailed to me
as A SINGLE DOCUMENT. (Microsoft Word can combine multiple pictures into a
single document.) The section
that had been meeting in GAB 317 has been split in two: Last names A-D stay
in GAB 317, while last names F-K go to Biology A111. (Exceptions to this rule
were also discussed in class.) We're splitting to ensure that everyone presents 5 times
before the end of the semester. Second-chance sessions this week: Tuesday,
4/17, starting at 1:00: Meet in GAB 473. Friday,
4/20, starting at 10:00: Meet by the chalkboards outside the Math Department
office. If you participate, be ready to go to the board twice.
Questions will be selected from the following Precalculus
questions: 159-165, 176-179, 189-195 |
|
|
|
4/27 |
FYI:
Talon Teach Resume Writing Workshop on Monday, April 23, 7:00-8:30 pm in TNT
Workroom. EXAM #3 on Monday, 4/23 In
class on Wednesday, 4/25, we will discuss an opportunity you will have to
earn extra credit by either completing a survey or else completing an
additional homework assignment. If you miss class this day, please contact
Dr. Quintanilla for more information. Due
on 4/27: p.
129: 6, 8, 10 p.
231: 15, 23(abde) p.
328: 4, 6, 8, 9, 18 Notes: ·For p. 129
#10, note that sin kq is the
imaginary part of zk
if z = cos
q + i sin q. Then the
left-hand side is a finite geometric series. Use the formula for this series,
and then multiply by a conjugate to find its imaginary part. You will need
the sum-to-product trigonometric identities to obtain the right-hand side.
(For what it's worth, this result is needed to directly integrate sin x using Riemann sums.) ·For p. 231
#23(de), only answer the parts involving 1-i. ·For p. 328
#6, be sure to consult Section 9.3.1 (pp. 281-283) before answering. |
Second-chance
sessions this week: Friday, 4/27, starting at
9:00 (i.e., the regular class meeting time): Meet in Biology A111. I will start the second-chance
session as soon as everyone has completed their fifth presentation. If
you participate, be ready to go to the board twice. Questions will be
selected from the following Precalculus questions: 159-165,
176-179, 189-195 |
Part 3 (problem selection) is due. |
|
|
Wednesday, 5/2 |
The
review will discussed this week. Due
on 5/2: p.
334: 1, 2, 3, 4(b), 6(bc), 8 p.
337: 1 |
Certification Review #15 due on 5/2 |
None. |
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