Introduction to Mathematical
Reasoning

Spring 2013
Lectures:

MWF 
2:00 PM2:50 PM 
Peter 102 
Office Hour: 
MF 
3:00 PM4:00 PM 
APM 7230 

W 
4:00 PM5:00 PM 
APM 7230 
TA information: 

Janine LoBue 
jlobueucsd edu 
TA Office hour: 
M 
1112 and 1PM2PM 
APM 6442 

W 
1011 and 1PM2PM 
APM 6442 

Book
 Peter J. Eccles, An Introduction to Mathematical
Reasoning: numbers, sets, and functions. (The main textbook)
 R. B. Maddox, Mathematical Thinking and Writing: A
Transition to Abstract Mathematics.
 D. Smith, M. Eggen and R. St. Andre, A Transition to
Advanced Mathematics.
 D. Solow, How to Read and Do Proofs.

Schedule
This is a tentative schedule for the course. If necessary, it
may change.

Homework
 Homework are due on Fridays at 5:00 pm. You should drop
your homework assignment in the homework dropbox in the basement of
the AP&M building.
 Late Homework are not accepted.
 There will be 9 problem sets. Your cumulative homework
grade will be based on the best 8 of the 9.
 If your homework is either typed or the grader decides that
it is very well and neatly written, its score will be multiplied by 1.2!
 You can work on the problems with your classmates, but you
have to write down your own version. Copying from other's solutions is
not accepted and is considred cheating.
 A good portion of the exams will be based on the weekly
problem sets. So it is extremely important for you to make sure that
you understand each one of them.

Grade
 Your weighted score is the best of
 Homework 20%+ midterm exam I 20%+ midterm exam II 20%+
Final 40%
 Homework 20%+ The best of midterm exams 20%+ Final 60%
 Your letter grade is determined by your weighted score
using the best of the following methods:

A+ 
A 
A 
B+ 
B 
B 
C+ 
C 
C 
97 
93 
90 
87 
83 
80 
77 
73 
70 
 Based on a curve where the median
corresponds to the cutoff B/C+.

Regrade
 Homework and midterm exams will be returned in the
discussion sections.
 If you wish to have your homework or exam regraded, you
must return it immediately to your TA.
 Regrade requests will not be considered once the homework
or exam leaves the room.
 If you do not retrieve your homework or exam during
discussion section, you must arrange to pick it up from your TA within
one week after it was returned in order for any regrade request to be
considered.

Further information
 There is no makeup exam.
 Keep all of your returned homework and exams. If there is
any mistake in the recording of your scores, you will need the original
assignment in order for us to make a change.
 No notes, textbooks, calculators and electronic devices
are allowed during exams.
 You must bring a blue book to the exam.

Exams.
 The first exam:
 Topics: All the topics that are
discussed in the class and in the book till the end of induction.
Strong induction is NOT part of the first exam.
 Questions are fairly similar to the
homework assignments and the examples discussed in the class. Make sure
that you know how to solve anyone of them.
 Practice: besides going through your
homework assignments, examples presented in the class and problems in
the relevant chapters of your book, you can use the following practice sheet. It
is mainly prepared by your TA, Janine LoBue.
 You will NOT need a blue book. You will be writing
your solutions on the exam sheet.
 Here is the
exam. And here
are the solutions.
 This is the score distribution:
 The second exam:
 Topics: All the topics that are discussed
in the class and in the book from strong
induction till basics of functions.
Injective, surjective and bijective functions are NOT part of the exam.
 Questions are fairly similar to the
homework assignments and the examples discussed in the class. Make sure
that you know how to solve anyone of them.
 Practice: besides going through your
homework assignments, examples presented in the class and problems in
the relevant chapters of your book, you can use the following practice sheet. It is prepared by
your TA, Janine LoBue.
 You will NOT need a blue book. You will be writing your
solutions on the exam sheet.
 Here is the
exam. And here are
the solutions.
 This is the score distribution.
 Clearly I am not happy with the scores.
 If your score is at least 21, then your
score is in a range that I expected most of the grades to be.
 If your
score is under 12, then this should be a warning sign for you. You
should reconsider your appraoch towards this course. Please do not
hesitate to contact me with any questions. (Speically those students
who got 4 and 6.)
 As it is stated above, in the worst case scenario the medain of the weighted scores corresponds to the B/C+ cutoff.
 The final exam:
 Topics: All the topics that are
discussed in the class and in the book till the end of counting injective functions.
 Questions are fairly similar to the
homework assignments and the examples discussed in the class. Make sure
that you know how to solve anyone of them.
 Practice: besides going through your
homework assignments, examples presented in the class and problems in
the relevant chapters of your book, you can use the previous practice sheets.
A new one will be posted here later. You can also take a look at the exams of other instructors
(with the warning that they might have covered certain topics that we did not discussed and the other way around)
(google search for them).
 You will need a blue book.
 Review sessions: There will be two review sessions.
 I will be holding a review session: Time: Wednesday 12:30pm2:50pm; Location: APM 5402;
 Janine LoBue will be holding a review session:
Time: Thursday 10am1pm; Location: APM B412;
 The CAPE response rate was not high enough to grant you two additional points towards your final weighted score.

Assignments.
