Math 109, Fall 2019
Mathematical Reasoning
Announcements:
** Office hours for the final:
- Dec. 9 Mon. 3-5 in AP&M 5739
- Dec. 10 Tues. 10-12 in AP&M 2202
- Dec. 11 Wed. 9-10 in AP&M B402A
- Dec. 11 Wed. 4-6 in AP&M 2402
** I will hold extra office hours Tues. 11/19 from 1:00 to 4:00.
** The
second midterm (
solutions) is Wed. Nov. 20. It will cover chapters 7 - 12.
Practice problems
** On Wed. Oct. 30 my office hours will be 10:00 - 11:00 (and I may be a few minutes late).
** I will hold extra office hours Tues. 10/22 from 2:00 - 5:00 in my office AP&M 5739.
**
First Midterm (
solutions) Wed. Oct. 23 12:00 - 12:50.
** The first midterm is Wed. Oct. 23. The midterm will have 4 problems and cover chapters 1 - 6.
Practice problems
** On Thursday Oct. 17 your TA will not hold
office hours 2:30 - 3:30. Instead, I will have an office hour at that
same time in my office.
** My office hours on Wed. 10/9 are cancelled. Instead, your TA will have an office hour Tues. 10/8 from 1-2 in AP&M 2202.
** Professor Spolaor will hold substitute office hours for me on Monday 10/7 from 3-5 in AP&M 5111.
** On Monday Sept. 30 office hours will be 2:00 - 3:50.
Course Information
Professor: Brandon Seward
Lecture: MWF 12:00-12:50 in Peterson 104
Email: bseward@ucsd.edu
Office: AP&M 5739
Office Hours: M 3:00-5:00, W 9:00-10:00
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Teaching Assistant: Kyle Meyer
B01 Discussion: M 5:00-5:50 in AP&M B412
B02 Discussion: M 6:00-6:50 in AP&M B412
Email: kpmeyer@ucsd.edu
Office Hours: Thursdays 11:30-3:30, AP&M 2202
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Descritption:
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.
Textbook: Peter J. Eccles,
An Introduction to Mathematical Reasoning: numbers, sets and functions, Cambridge University Press, 1997.
Lecture: Attending the
lecture is a fundamental part of the course; you are responsible for
material presented in the lecture whether or not it is discussed in the
textbook. You should expect questions on the exams that will test your
understanding of concepts discussed in the lecture.
Lecture Notes: Ch. 1,
Ch. 2,
Ch. 3,
Ch. 4,
Ch. 5,
Ch.6,
Ch. 7,
Ch. 8,
Ch. 9,
Ch. 10,
Ch. 11,
Ch. 12,
Ch. 13,
Ch. 14,
Topics from Ch. 15 - 17,
Topics from Ch. 19-22
Homework: Homework
will be assigned regularly and due on most Wednesdays. Homework must be
placed before 2:00 PM on the due date in the drop-box in the basement
of AP&M. No late homework
will be accepted, but your lowest homework score will be dropped when
computing your final grade.
Homework Assignments: HW 1 (
solutions),
HW 2 (
solutions),
HW 3 (
solutions),
HW 4 (
solutions),
HW 5 (
solutions),
HW 6 (
solutions),
HW 7 (
solutions)
Exams: If you miss a midterm exam, no makeup exam will be given. Instead, your final exam will count towards 60% of your final grade.
Grading: Your final grade will be the maximum of the following two weighted averages:
- 20% Homework, 20% First Midterm, 20% Second Midterm, 40% Final Exam.
- 20% Homework, 20% Best Midterm, 60% Final Exam
Special Accommodations:
Students requiring accommodations should provide an OSD letter of
certification and OSD accommodation recommendation to the instructor as
soon as possible.
Additional Resources: The following books may be helpful for additional study:
- Ulrich Daepp and Pamela Gorkin, Reading, Writing, and Proving, Springer-Verlag, 2003.
- Peter Fletcher and C. Wayne Patty, Foundations of Higher Mathematics, Brooks/Cole Publishing Company, 1996.
- Gary Chartrand, Albert Polimeni, Ping Zhang, Mathematical Proofs: A transition to advanced mathemetics, Pearson Education, 2013.
- Rod Haggerty, Fundamentals of Mathematical Analysis, Addison-Wesley Second Edition, 1993.
- David Burton, Elementary Number Theory, Allyn and Bacon, 1976.
- Keith Devlin, Sets, Functions and Logic: an introduction to advanced mathematics, Princeton University Press, 1993
- Daniel Velleman, How to Prove It: a structured approach, Cambridge University Press, 1994.