MATH 300-SPRING 2012-COURSE LOG
1/11 W Course policies/ logical connectives
1/13 F Quantifiers
HW 1 (due F 1/20): Handout 1: 3, 4(ii)
Velleman 2.1: 3, 9 (in 3, "analyze
the logical form" means: write using quantifiers.)
Velleman 2.2.2(c)(d), 2.2.3
1/16 M Martin Luther King, Jr. Holiday (no
class)
1/18 W Quantifiers (examples), sets (start)
1/20 F continuity (9 in handout 2); proofs involving
inclusion/equality of sets
HW 2 (due F 1/27) Handout 3: 2, 3(ii), 4(ii), 5, 8(i)(iv)
(others may be
prepared for presentation in class next week)
1/23 M discussion of HW1 (negation of bounded quantifiers)/
cartesian products
1/25 W cartesian products--examples [ref: Velleman, section 4.1]
1/27 F relations [ref: Velleman, sections 4.2, 4.3]
HW 3 problems (due Friday, Feb 3):
4.2: 2(b), 5; 4.3: 4(b)(c)(d), 10 (for i_R), 14
For discussion: 4.2: 9, 4.3: 4 (a), 6 ,8, 10 (for i_D), 13
1/30 M relations: discussion of problems
2/1 W discussion of HW problems
Functions [ref: Velleman,
chapter 5]-basic definitions
Problems: (5.1) 4b, 6, 15, 16
2/3 F Functions: discussion of problems
Problems: (5.2) 5, 6, 7, 8
2/6 M Functions: discussion of problems
Problems: (5.3) 4, 5, 6
Problems: (5.4) 1, 2, 3, 4
HW 4 due Friday, 2/10: the problems in boldface listed above for sections
5.1 to 5.4 (six problems)
2/8 W Functions: discussion of problems
2/10 F Equivalence relations: partitions, quotient set,
examples
2/13 M Discussion of HW3/ functions and equivalence relations
2/15 W equivalence relations and functions (handout 4)
2/17 F Problems 3, 4, 5, 6, 7 discussed
HW 5: Problems 1, 2, 3, 8, 9 (due
Monday 2/20)
2/20 M Discussion of HW problem 9/From the natural numbers to the
rationals (start)
2/22 W Problem 10 due.
2/24 Friday: Exam 1 (material
up to lecture of Monday, 2/20)
Includes corresponding sections in the text.
Exam
1
2/27 M From the natural numbers to the integers
(cont'd)/discussion of exam 1
2/29 W Ordering relations (Velleman 4.4)--Lecture by Dr. Lind
3/2 F Ordering relations--Lecture by Dr. Lind
3/5 M Ordering relations--examples
HW6 (due Friday 3/9)
(from Velleman, 4.4): 6,9,11,16, 20(b)
3/7 W Ordering relations--examples
3/9 F From the integers to the
rationals
3/12 M Fields, ordered rings, well-ordering
3/14 W Ordered fields, Archimedean property/ discussion of HW6
3/16 F Discussion of HW6/ density of Q in R, absolute value
3/19-3/23 SPRING BREAK
3/26 M Supremum property of R
3/28 W Supremum property/discussion of problems
3/30 F Test 2. Included: sec. 4.4 and 4.6 of
Velleman
Test
2
4/2 M handout 7, cont/discussion of test
4/4 W handout 7: convergence of sequences, approximation property
4/6 F SPRING RECESS (no lecture)
4/9 M monotone convergence property
Homework (due Friday 4/13)
3,5B,5C,8,9
4/11 W Cauchy sequences (section 5)
4/13 F Decimal expansions of real numbers (section 6)
4/16 M Countable vs. uncountable
4/18 W Uncountable
4/20 F Uncountable
4/23 M Uncountable/review
4/25 W THIRD TEST (material up to 4/20)
Test
3
4/27 F uncountable/review (last day)
FINAL EXAM: Monday, May 7, 10:15-12:15 (comprehensive)
Final
Grades: B-=2, C-,C,C+=7, D,D+=2, F=3 (14 students took the final, of 19
initially enrolled)