Math 109 (Mathematical
Reasoning)  Winter 2013
Professor: CRISTIAN D.
POPESCU.
Lectures: MWF 8:008:50am, in PETER 102.
Office Hours: MF 9:00
 10:00am, W 3:004:00pm in AP&M 6256.
Office: AP&M
6256.
Phone: 8585346297. Email: cpopescu@math.ucsd.edu
Teaching Assistant: JACOB HUGHES.
Discussion Sections: Tu 88:50pm (A01) and Tu 99:50pm (A02), in AP&M 5402.
Office Hours: T 12, Th 24, in AP&M 6436.
Office: AP&M 6436. Email: jthughes@ucsd.edu
COURSE DESCRIPTION
WHAT IS MATH 109? This course is an
introduction to mathematical reasoning. Perhaps the most useful
consequence of studying mathematics is an enhanced ability to analyze
problems, mathematical or otherwise, logically. In advanced mathematics
courses and in mathematics research, this ability is deployed primarily
to prove that specific statements are true. The goal of this course is
to give the students an understanding of what it
means to do mathematics, beyond simply doing calculations. This
includes learning
what kinds of statements need proof, what constitutes a proof, and how
to
read and write proofs.
TEXT: PETER J. ECCLES, An Introduction to Mathematical Reasoning. Cambridge Univ. Press, 1997. You
are expected to read the text BEFORE each lecture.
EXAMS
 Midterm I  Monday, February 4, 8:00am, in PETER 102. Topics: Chapters 15 (textbook). Exam 1 solutions.
 Midterm II

Monday, March 4, 8:00am, in PETER 102.
Topics: Chapters 69 (textbook). Additional office hr: Popescu, Friday,
March 1, 34. Review: Hughes, Sunday, March 3, 122,
in AP&M 6402. Exam 2 solutions.
 Final Exam  Monday, March 18,
8:0011:00am. Location: PETER 102. Topics: Comprehensive (Chapters 112 in the textbook.)

No notes, textbooks, calculators
are allowed during exams. No makeup exams will be given.
Cheating on an exam results in 0 points for that exam, as well as
further disciplinary action.
GRADING POLICY
 Midterms 1+2: 20% each; Final Exam: 40%;
Homework: 20%. The grading will be done on a curve, the median
corresponding to a B/C+.
GETTING HELP
Help with mathematical problems:
 Section: Ask
questions in section  this is one of the main reasons why sections
exist.
 Office Hours: You
are strongly advised to take full advantage of your professor's and
ta's office
hours.
 Classmates: Sometimes
a classmate can help. Sometimes you can learn by working out problems
together with your classmates.
Help with personal problems which
affect your class work:
 Talk to the professor or, if appropriate, your
college provost.