Math 109 -- Mathematical Reasoning -- Winter 2018

Lecture site: CENTR 212
Lecture times: Monday, Wednesday, Friday. 11:00pm-11:50pm.
Discussion sessions B01 927126: Wednesday 4:00p-4:50p, AP&M B412 with Renee Mirka
B02 927127: Wednesday 5:00p-5:50p, AP&M B412 with Pieter Spaas
B03 927128: Wednesday 6:00p-6:50p, AP&M B412 with Pieter Spaas
Final Exam
time and place
March 19th, 2018, 11:30pm - 2:29pm. Place to be announced.
Instructor Martin Licht
Email: mlicht AT ucsd DOT edu
Office: AP&M 5880E
Hours: Monday. 3:00 - 4:00pm.
Teaching Assistant Renee Mirka
Email: rmirka AT ucsd DOT edu
Office Hours: Tuesday 12-2pm, AP&M 6446
Teaching Assistant Pieter Spaas
Email: pspaas AT ucsd DOT edu
Office Hours: 2-4pm in AP&M 5829, 8:30-10:30am in AP&M 7218
Sections 927126, 927127, 927128
Course content This course uses a variety of topics in mathematics to introduce the students to rigorous mathematical proof, emphasizing quantifiers, induction, negation, proof by contradiction, naive set theory, equivalence relations and epsilon-delta proofs. Required of all departmental majors.
Resources recommended
in addition
Formal prerequesite Math 18 or Math 20F or Math 31AH, and Math 20C. Students who have not completed listed prerequisites may enroll with consent of instructor.
Credit Hours: 4 units
Homework information Homework will announced on Fridays after lecture. Homework can be submitted to the mailboxes on Friday's before 11am in the morning (before the lecture starts), or that the very beginning of Friday's lecture. All submissions must be in handed-in in handwritten form.
Academic Integrity Every student is expected to conduct themselves with academic integrity. Violations of academic integrity will be treated seriously. See http://www-senate.ucsd.edu/manual/Appendices/app2.htm for UCSD Policy on Integrity of Scholarship.

Announcements

January 8 - Welcome to MATH 109

January 8 - Piazza
You find a link to the Piazza website for the course below in the Helpful Links section.

Grading Information

The final grade will composed 20% homework and either (a) 20% of the first midterm, and 20% of the second midterm, and 40% of the final exam or (b) 20% of the best midterm and 60% of the final exam, depending on what gives the better result.

Your course grade will be determined by your cumulative average at the end of the quarter, based on the following scale:

A+ A A- B+ B B- C+ C C-
100 - 96.66 96.65 - 93.33 93.32 - 90.00 89.99 - 86.66 86.65 - 83.33 83.32 - 80.00 79.99 - 76.66 76.65 - 73.33 73.32 - 70

The above scale is guaranteed: for example, if your cumulative average is at least 73, then your final grade will be at least B. However, your instructor may adjust the above scale to be more generous.

Homework

  1. Week One Exercises
  2. Homework 1 - Solutions 1
  3. Homework 2

Course Calendar

Lecture Content
# 1, 1M
08.01.2018.
Administrativa. Examples and Motivation. [Slides] [Slides]
# 2, 1W
10.01.2018.
Statements, Implications, Equivalences. [Slides]
# 3, 1F
12.01.2018.
Propositions and Logical operators: and, or, negation, either-or. Truth tables. Composition of logical operations. [Slides] [Slides] Homework 1 announced.
# 4, 2M
15.01.2018.
Martin Luther King Day
# 5, 2W
17.01.2018.
Further logical connectives. Naive Set Theory [Slides] [Slides]
# 6, 2F
19.01.2018.
Classes. Naive Set Theory: set-theoretical operations. [Slides] [Slides] Homework 1 collected. Homework 2 announced.
# 7, 3M
22.01.2018.
# 8, 3W
24.01.2018.
# 9, 3F
26.01.2018.
Homework 2 collected. Homework 3 announced.
#10, 4M
29.01.2018.
#11, 4W
31.01.2018.
First Midterm.
#12, 4F
02.02.2018.
Homework 3 collected. Homework 4 announced.
02.02.2018: Deadline to change grading option, change units, and drop classes without "W" grade on transcript.
#13, 5M
05.02.2018.
#14, 5W
07.02.2018.
#15, 5F
09.02.2018.
Homework 4 collected. Homework 5 announced.
#16, 6M
12.02.2018.
#17, 6W
14.02.2018.
#18, 6F
16.02.2018.
Homework 5 collected. Homework 6 announced.
#19, 7M
19.02.2018.
President's Day
#20, 7W
21.02.2018.
#21, 7F
23.02.2018.
Homework 6 collected. Homework 7 announced.
#22, 8M
26.02.2018.
Second Midterm.
#23, 8W
28.02.2018.
#24, 8F
02.03.2018.
Homework 7 collected. Homework 8 announced.
#25, 9M
05.03.2018.
#26, 9W
07.03.2018.
#27, 9F
09.03.2018.
Homework 8 collected. Homework 9 announced.
09.03.2018: Deadline to with "W" grade on transcript.
#28,10M
12.03.2018.
#29,10W
14.03.2018.
#30,10F
16.03.2018.
Homework 9 collected.
FI
19.03.2018.
Final Exam. 11:00pm - 2:59pm. Place to be announced.

Course Material and Additional Resources

F.A. Muller: Sets, Classes and Categories. The British Journal for the Philosophy of Science, Volume 52, Issue 3, 1 September 2001, Pages 539-573, https://doi.org/10.1093/bjps/52.3.539 [Link]

Notes on the Irrationality of the Square Root of 2

Helpful Links

Important academic dates for this academic year

Piazza Website for this course