note to yourself of due date	SG HW §	ER HW Variant of	Homework Part 2: starting in Ch 3.
Homework Part 1  (Ch 1, Ch 2, some from Ch 3)
Thu 10/16	WG		This Writing Guidelines Homework for After Exam 1. Click the link to see instruction.
M 10/20			Read about Prime Factorization (the Fundamental Thm of Arithmetric) on the last page of the (linked) Ch 3 summary handout, which is also on our Handout Page and was handed out in class. If the notation in the Prime Factorization does not make sense, find the prime factorization of some 3-4 digit numbers (remember them "factorization trees") to help you make sense of the notation. Remeber ∑ is for sum while ∏ is for product. Nothing to hand in.
Tue 10/21		3.1.9B by def.	This variant of the ER. Prove using definition.
		3.1.9B by PSR	This variant of the ER. Prove using previously shown results.
		3.1.10A	This variant of the ER.
		3.1.10C	This variant of the ER.
		3.1.21A E&A	This variant of the ER. Explorations and Activities.
Thu 10/23			Note the first 2 problems the problems as stated in the book (so they are not variants).
		3.5.14B	As in book (page 154).
		3.5.20	As in book (page 155). If providing a counterexample, remember to explain why your counterexample is indeed a counterexample.
		3.5.22A	This variant of the ER.
Tue 10/28		3.2.1CD	This variant of the ER.
		3.2.7	This variant of the ER.
		3.2.13	This variant of the ER.
Thur 10/30		3.2.14B	This variant of the ER.
		3.2.14C	This variant of the ER.
		3.2.16	This variant of the ER.
		3.2.19A	This variant of the ER.
		3.2.19B	This variant of the ER.
Thur 11/6		3.3.6A	This variant of the ER.
		3.3.6B	This variant of the ER.
		3.3.6C	This variant of the ER.
		3.3.8A	This variant of the ER.
		3.3.20A	This variant of the ER.  (Evaluation of Proof)
		3.3.20B	This variant of the ER.  (Evaluation of Proof)
		3.3.20C	This variant of the ER.  (Evaluation of Proof)
Tue 11/11	4.1		Watch the Screencast 4.1.1 (The Traveler and the Strange Staircase), a short (about 3 minute) video which gives a user-friendly overview of math induction. Nothing to hand in.
	4.1		Study Guide Homework for this section.
	4.2		Study Guide Homework for this section.
	4.3		Study Guide Homework for this section.
Thur 11/13		3.4.00	This variant of the ER. (Most of the proof is already done for you.)
		3.4.13A	This variant of the ER.
		3.5.19	This variant of the ER.
		3.5.22B	This variant of the ER.
Tue 11/18	3.6		Study Guide HW for this section, Review of Proof Methods, which is excellent for exam reviewing. Think of it as getting points for studying for the exam.
	3.7		Take advantage of this Chapter Summary. Nothing to hand in.
Exam 2 Study Help
			See Study Suggestions and Details for Exam 2, which included dates, material covered, sample formatting of proof problems, highly recommended Practice Proof Problems (along with hints/solutions).
Exam2 Practice Problems       the sooner the better not to turn in		§3.6	Section 3.6 is called appropriately Review of Proof Methods. In each section of Ch. 3, you learned some methods of proofs. Now the book throws a whole bunch of exercises at you and asks you to proof them (but does not indicate which Proof Method to use). So you have to choice which method to use and then execute the method properly. Sometimes several methods work but a certain method is much easier than the other methods. Sometimes only one method is do-able given what you know thus far in you math career. Section 3.6 is a excellent source of practice (and also exam) problems. You should be able to do at least the following problems when you walk into Exam 2 (and also be able to write symbolically): 3.6.1 ; 3.6.3 ; 3.6.4 ; 3.6.5 ; 3.6.7 ; 3.6.12 . Some Hints: 3.6.1. Symbolically looks like (∀ x∈ ℝ) (∀ y∈ ℝ) [ P(x,y) ⇒ Q(x,y) ] where P(x,y) and Q(x,y) are open sentences (they will be inequalities here) in variables x and y. 3.6.3. Each one is true. 3.6.5. You may use Thm 3.20 (pg. 124) which say $\sqrt{2}$ is irrational. Try cases. Consider the number square root of 2 raised to the power of the square root of 2, i.e, $\sqrt{2}$ \sqrt{2}$ $$$, which is either rational or irrational (who knows, but who cares since ...) Case 1: The $\sqrt{2}$ \sqrt{2}$ $$$ is rational. Case 2: The $\sqrt{2}$ \sqrt{2}$ $$$ is irrational. 3.6.7. Try proof by contrapositive. So assume there exists n∈ ℕ that is a solution to the cubic. Then use with book`s hint to help you factor n3 + 13. 3.6.12. Parts a,b,d are true. Part c is false.
Thur 11/27			Hug a turkey for Thanksgiving.
Tue 12/1	4.4		Take advantage of this Chapter Summary. Nothing to hand in.
			please ignore - line 400