Due Date	Homework from Monday/ Wednesday lectures (partial solutions)	Preparation for Certification Exam (partial solutions)	Questions for Friday	Class Projects
1/17	p. 203: 19(a-c) p. 214: 16, 18 p. 243: 2, 3, 6, 9, 10, 19(a), 20, 31	Certification Review #1 due 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. Warning: If a problem looks too easy to be true, it might not be. So be careful and check for subtleties. 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 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. Be sure to title your file in the form John_Doe_15.docx, as indicated in the instructions.
1/24	NO BOOK WORK IS DUE	Certification Review #2 due	None because of the Monday holiday. Class will meet together.	Part 1 (Pre-Algebra and Probability/Statistics) is due.
1/31	p. 244: 20, 22, 25, 30, 31, 32, 33, 37, 43, 48, 51 Hints: #22: Ignore the part about the Euclidean algorithm since we didn’t cover that in class. Just get the answers. #31: Of course, 12 = 2^2 * 3 and 120 = 2^3 * 3 * 5. So how much flexibility does that give you with the prime factorization of x? #32: Try x = 10p, where p is a prime greater than or equal to 7. #33: It’s false. So you just need to find one counterexample. #48: Argue by contradiction. Suppose that p is a prime that divides bd. Show that p can’t divide ad+bc. FYI: This theorem is a follow-up to p. 203 19(a-c) from last week. #51 (added 1/29): I had originally written 51(a), but that was a typo.	Certification Review #3 due	For this week and the rest of the semester, be ready to answer any of the next few questions.
2/7	p. 251: 3, 4, 5, 6, 10, 15, 16 p. 253: 2, 4, 6, 9 Additional Problem: 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. Hint for p. 253 #9: Remember that to show a proposition is false, you only need one counterexample.	Certification Review #4 due		Part 2 (Algebra I and Algebra II) is due.
2/14	None. EXAM #1 The review questions should help prepare you for the exam. There are also solutions for the review questions; I encourage you to watch these videos only after attempting the review questions for yourself. Also, I don’t claim infallibility. If you think I made an inadvertent mistake while recording these videos, please let me know so I can take a look at it.	Certification Review #5 due	None because of exam.
2/21	As announced in class, the book work will be due on Monday, 2/24. p. 254: Let's Go 3 p. 263: 10, 18, 19, 20(a-d), 23, 24, 31, 33(a)	Certification Review #6 due	This week, Q&A will happen on Wednesday, 2/19. All students will meet in Curry 210. To keep both sections together, we will begin on Question #26. All students will meet in Curry 210 for a regular lecture on Friday, 2/21.
2/28	p. 229: 2, 3(cd), 5, 8 p. 265: 21, 22, 26, 27, 28	Certification Review #7 due		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.
3/7	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: We will not cover Section 12.1 in class. So I just expect you to (1) experiment with a graphing calculator until you find cubic polynomials that meet the given criteria, and then (2) once you have your polynomial, then you should explain why it meets the given criteria. You may need to use factoring and/or calculus to produce an adequate explanation. (It is possible to construct such polynomials more systematically, and you are welcome to try to find out how to do these problems without blindly guessing.) Hint for p. 353 #5: Start with f(x) = x^2 – 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.	Certification Review #8 due	All students will meet in Curry 210 on Friday, 3/7. We will have a regular lecture on Friday, 3/7 since the university was closed on 3/3. You do not have to prepare for a presentation this week. We will begin on Question #45.
3/14	SPRING BREAK
3/21	None. EXAM #2 The review questions should help prepare you for the exam. There are also solutions for the review questions; I encourage you to watch these videos only after attempting the review questions for yourself.	Certification Review #9 due	None because of exam.
3/28	NOTE: Due date postponed to 3/31 p. 347: 6, 8(ab), 9(b) 10 p. 353: 1, 2 p. 365: 2, 3(a), 7(bcde) 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+a^2) = 1-a^3.	NOTE: Due date postponed to 3/31 Certification Review #10 due	We will pick up on Question #45.
4/4	p. 266: Your Turn 34 p. 269: 1, 3(bc), 4 p. 278: 2, 3, 11, 12 p. 280: 1(a-d) p. 319: 5, 7(abd) Notes: For p. 269 #4, let the following guide your thinking: You can easily check that x = 2 is a root of f(x) = x^3 + 4x^2 – 2x – 20 and that x = -2 is a root of g(x) = -x^3 + 4x^2 + 2x – 20. So, let f(x) = an x^n + … + a1 x + a0. If you know that f(a) = 0, is there a way to modify the coefficients of f and create a new polynomial g so that g(-a) = 0? Once you see how to do this, then you’ll need to prove that your idea actually works. SCHOLARSHIP INFORMATION: If you’re apprentice teaching in 2014-15, have a 3.0 GPA or higher, and have a 3.25 GPA or higher in all classes that count toward certification, you are eligible for a $2000 scholarship from the Texas Council of Teachers of Mathematics. The application is due on May 1. (In case you’re wondering, I am not a member of TCTM.)	Certification Review #11 due		Part 4 (Precalculus) is due. Remember that you can schedule a make-up Q&A session if you earned a 0 (or a low grade) on a prior Friday presentation. You will need to prepare answers for Questions 131-134 and 142-151 and will be asked to answer several of these questions. These sessions are made by appointment.
4/11	p. 284: 3, 13 p. 288: 1, 3, 12(ab) p. 291: 3, 4, 6, 16 p. 307: 1, 2, 5(ac) For p. 307 #5(c), ignore the instruction that says "If a product is required within an exponentiation problem, compute it via logarithms."	Certification Review #12 due	All students will meet in Curry 210 on Friday, 4/11. I will be in Curry 210 at 8:30 for any students who want to make their fourth presentation or else a make-up presentation.	ANNOUNCEMENT: The Math Department’s annual Integration Bee will be held on Friday, April 11 at 3 pm in GAB 105. This is a low-key and fun way to sharpen your skills at doing indefinite integrals.
4/18	None. EXAM #3 The review questions should help prepare you for the exam. There are also solutions for the review questions; I encourage you to watch these videos only after attempting the review questions for yourself.	Certification Review #13 due	None because of exam. Students who need to make their 4^th presentation or a make-up presentation should make an appointment with me.	.
4/25	p. 129: 6, 7, 8 p. 231: 15, 23(abde), 25 p. 317: 6 p. 328: 4, 6 Notes: For p. 231 #23(de), only answer the parts involving 1-i. For p. 317 #6(b), you just need a value of h, not the largest value of h that meets the condition. For p. 328 #6, be sure to consult Section 9.3.1 (pp. 281-283) before answering.	Certification Review #14 due		The SETE should now be available by logging into http://my.unt.edu
Wednesday, 4/30	Due on 4/30: p. 328: 8, 9 p. 334: 1, 2, 3, 4(b), 6(bc), 8 p. 337: 1 The review questions should help prepare you for the final. There are also solutions for the review questions; I encourage you to watch these videos only after attempting the review questions for yourself. Please remember to complete the SETE.	Certification Review #15 due on 5/1	None because of Reading Day.