# John Jones - MAT 300

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## MAT 300

The score checker will now compute your current average, and also compute what you need to average from now to the end of the course to get into different grade ranges. The results of these computations are unofficial. You should do the computations yourself to be sure.

When thinking about how much to study for the remaining exams, keep the following in mind. Say you need to average 40% to get the grade you want. If you know 40% of the material, then taking many exams, your average score would be around 40%. So, roughly half of the time you fall short. So, it is a bad idea to try to just barely make it into a particular grade range.

• 12/10 Scores for the final exam and course grades are available above. On the final, the high score was 103, and the median was 87.
• 11/24 Scores for test 2 are available above. The high score was 101, and the median was 66.
• 11/21 Here are solutions for Test 2.
• 11/19 The final exam is comprehensive, so it covers everything from the beginning of the course (logic and truth tables) to Section 5.1 on cardinality.
• 11/15 The last day of class will be reserved for a question/answer session related to the final, so bring questions.
• 11/15 Next week, office hours are cancelled on Wed, Nov 21.
• 11/2 Test 2 is in roughly 2 weeks. It will cover homeworks due 10/2-11/8. So, it covers Sections 4.1-4.4.
• 10/24 Solutions to the third start/finish homework. It includes some comments on the case where the base set for a relation is a set of ordered pairs.
• 10/16 Scores for test 1 are available above. The test is out of 100 points, the high score was 102, and the median score was 80.
• 10/11 Here are solutions for Test 1.
• 10/2 All assignments (homework and quizes) are to be turned in on US letter sized paper (8 1/2 by 11 inches). It is too easy for smaller sheets to get lost.
• 9/26 Test 1 is in just over 2 weeks. It will cover material from the start of the course through the homework due on 9/27. In particular, it covers
• making truth tables, and determining logical equivalence
• negating statements with quantifiers; stating the converse and contrapositive of an if-then statement
• direct proofs
• counterexamples for disproof
• proofs with cases, including bootstrapping
• mathematical induction
• sets: union, intersection, set difference, set complement, subset, set equality, and the empty set
It does not cover the power set, families of sets, ordered pairs, or products of sets.
• 9/26 Summary of how to start/finish various types of proofs.
• 9/25 Solutions to first start/finish homework.
• 9/17 The 77th Annual William Lowell Putnam Mathematical Competition will take place on Saturday, December 1, 2018. This 6-hour, 12-problem competition features problems which require creativity in addition to mathematical knowledge to solve. Anyone who is interested in signing up for this competition ("the Putnam Exam") should contact Christopher Heckman (christopher.heckman@asu.edu) before October 8. Futher information can be found at https://math.asu.edu/putnam
• 9/17 SoMSS has Instructional Aide opportunities, working in the classroom for 100 level classes, for qualified students. The requirements are at least one semester of calculus and a GPA in mathematics (this includes statistics) of at least 3.5. We frequently have openings during the semester, so we accept applications at all time. Time commitment can be as little as 4 hr/wk.

If interested, you can apply online http://math.la.asu.edu/~gia

• 9/12 Today's office hours will be just 1:35-2:30. I have to teach a class for another faculty member during the first part of the normal office hours.
• 8/26 Handout on inequalities.
This is a course in how to read and write mathematical proofs. We will practice our proof writing primarily with set theory, which underlies many subjects in math. In particular, students will
• be able to manipulate logical statements to produce equivalent statements
• be able to state the converse, contrapositive, inverse, and negate quantified statements
• be able to prove statements directly, by contrapositive, and by contradiction
• be able to apply the Principle of Mathematical Induction to prove statements of the form $P(n)$, withn a natural number
• know the definition of a relation and how to apply it
• know definitions and examples of equivalence, ordering, and function relations
• know how to show two sets are equinumerous
• know how to show a set is finite, countable or uncountable
• above all, be able to write a coherent, correct proof.
• Exams:
• Test 1: October 11
• Test 2: November 20
• Final: December 6
• Office hours: Wednesdays 12:00-2:30, and by appointment.
• ASU Student Code of Conduct, especially F1 and G.
• ASU policy on rescheduling final exams: ACD 304-01
• ASU policy on missed classes.
Last Update: December 10, 2018