Prerequisites: Math 76.

Hours: 3.

Text: Mathematical Proofs - A Transition to Advanced Mathematics by G. Chartrand & others, Addison-Wesley, ISBN 0-201-71090-0

Content: Mathematical notations, proofs (what they are, types of proofs, techniques), introduction to logic, equivalence relations, basic facts from set theory, number theory, and calculus, and their proofs.

See also the Catalog Description.

Grading policy: Your grade for the course will be based on your performance on exams and homework (more information on these below). The number of points awarded for these is as follows.

Exams: There will be three tests (50 min. long each) and one final comprehensive exam (2 hours long). If for any reason you can not take a test at the scheduled time, please let me know as soon as possible, and certainly before the test. See schedule for exam dates. Solutions to past exams will be posted there in the future.

Class attendance is strongly encouraged. In addition to new material, important course information will be given in class, sometimes handouts will be given.

There will be weekly homework due Wednesday at 10:30 am. You may only submit up to 3 homeworks late (but not later than on Friday of the same week as the homework is due, at the beginning of class). The late homework Friday 10:30 am deadline is firm because I will usually return graded papers and sometimes hand out solutions on Friday. But if you are sick and unable to come to campus, please notify me and ask for a longer extension.
You should write a complete solution, with all necessary proofs (and specific examples and counterexamples when appropriate) for each problem. Unsupported answers may receive zero credit. All proofs must be rigorous (use the style of proofs given in class and in the book).

Extra Help: It is essential not to fall behind, because each class may use the material studied previously. If you have trouble with some material, seek help in the following ways:

• Ask me, either in class or privately. Don't be shy to ask questions. If you don't understand something, chances are very high that somebody else doesn't understand that either. My contact info is given on the course web page. However, after you got help from me, you should put aside all the notes you made while talking to me, and write a complete solution from scratch, in your own words. I rarely write complete sentences during my office hours, I may only help you to find an approach, an idea. You are responsible for writing a complete solution. Just copying formulas and pictures from my white board and notes will receive zero credit.
• Work with your classmates. Note: working on your homework together is allowed, however, every student should write down their solutions on their own. Also, if you have worked with someone, please indicate that on your paper. If somebody is helping you with your homework then the same rules as for my helping you apply, i.e. you should put aside all the notes and write a complete solution from scratch, in your own words.
• Do also problems that were not assigned. Use the answers and hints in the back of the book to check your answers.

Students with disabilities: upon identifying themselves to the University, students with disabilities will receive necessary accommodation for learning and evaluation. For more information, see http://studentaffairs.csufresno.edu/ssd

Academic honesty: cheating and plagiarism will not be tolerated in this class. For information on the University's policy, see the University Catalog (section Policies and Regulations).

Subject to Change: This syllabus and schedule are subject to change in the event of extenuating circumstances. If you are absent from class, it is your responsibility to check on announcements made while you were absent.