Math 109 (Mathematical
Reasoning)  Fall 2005
Professor: CRISTIAN D.
POPESCU  Lectures: MWF 9:009:50am, in
CSB 004.
Office Hour Schedule: Mo. & We. 11:00
 12:00am, in AP&M
6256.
Office: AP&M
6256;
Phone: 8585346297; Email: cpopescu@math.ucsd.edu
Teaching
Assistant: CALEB EMMONS
 Discussion Sections: Th 77:50pm (A01) and Th 88:50pm (A02),
in CENTER
205.
Office Hours: MW 34:30pm and by appointment,
in AP&M 5018.
Office: AP&M 5018; Email: cemmons@math.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 P. Fletcher and C. W.
Patty, Foundations of Higher Mathematics, 3rd ed., (Pacific
Grove, CA: Brooks/Cole Publishing Co. 1996). You
are expected to read the text BEFORE each lecture.
EXAMS
 Midterm I  Monday, October 17, 9:00am, in CSB 004. Topics: 1.1 
1.6, 2.1  2.2. Midterm 1  Solutions.
 Midterm II
 Monday, November 14, 9:00am, in CSB 004.
Topics: 2.3 and 3.1  3.5. Midterm II.
 Final Exam  Wednesday,
December 7,
8:0011:00am, in CSB 004. Topics: 1.1  1.6, 2.1  2.3, 3.1  3.5, 4.1  4.5. Sample Final Exam I. Sample Final Exam II.

No notes, textbooks, calculators
are allowed during exams. No makeup exams will be given.
Cheating on an exam results in zero points for that exam, as well as
further disciplinary action. Please read the following ACADEMIC INTEGRITY GUIDELINES.
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+.
IMPORTANT LINKS Schedule and
Homework. Click on hw1, hw2,
hw3, hw4, hw5, hw6, hw7, hw8, hw9,
hw10, hw11 for solutions to selected homework
problems (courtesy of
Tai Melcher).
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.