Introduction to Mathematical Reasoning

Spring 2013

 Lectures: M-W-F 2:00 PM--2:50 PM Peter 102 Office Hour: M-F 3:00 PM--4:00 PM APM 7230 W 4:00 PM--5:00 PM APM 7230 TA information: Janine LoBue jlobueucsd edu TA Office hour: M 11-12 and 1PM-2PM APM 6442 W 10-11 and 1PM-2PM 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 drop-box 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 cut-off 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 make-up 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+ cut-off.
• 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 12:30pm-2:50pm; Location: APM 5402;
• Janine LoBue will be holding a review session: Time: Thursday 10am-1pm; Location: APM B412;
• The CAPE response rate was not high enough to grant you two additional points towards your final weighted score.
Assignments.