MATH 201  Section B     Spring 2016

    Introduction to Proofs

MWF 11:00-11:50AM      98 Carver

: PAUL SACKS                                        OFFICE: 436 Carver                                             PHONE: 294-8143

OFFICE HOURS: Mon, Fri 1-2, Wed, Thurs 10-11, or by appointment.


TEXTBOOKS: Book of Proof, 2nd ed. by Richard Hammack;   Basic Analysis, by Jiri Lebl 


BRIEF DESCRIPTION OF COURSE GOALS AND OBJECTIVES: We will learn how to read and write mathematical proofs using logical reasoning. We also learn various proof techniques including the mathematical induction method, while learning selected basic facts in set theory, elementary number theory, combinatorial mathematics and calculus. We will learn and apply the methods of thought that mathematicians use to verify theorems, explore mathematical truth and create new mathematical theories. This will prepare us for advanced mathematics courses, for we will be better able to understand proofs, write our own proofs and think critically and inquisitively about mathematics.

COURSE CONTENT: We will cover (i) most of Book of Proof except for Chapter 3, and (ii) parts of Chapters 1-3 in Basic Analysis. Specific topics are

Three in-class exams   15% of grade each
Homework   25% of grade
Class participation 10% of grade
Final exam   20% of grade

Final course grades will not be curved, so you are not in competition with your classmates, nor does their performance influence positively or negatively your performance.

HOMEWORK: Assignments will be made for each class, which are not all meant to be handed in. Nevertheless, working these problems in a careful and timely manner is the most important way you have to learn the material. Click here to get an up-to-date list of homework assignments. Selected problems from will be collected for grading, usually on Friday of each week, including dead week. Click here for homework assignments to hand in and their due dates. Your work on all assignments should be carefully presented in good English. You are encouraged to discuss the homework assignments with classmates -- things not clear to you may become obvious when you try to explain them to others or when you hear other points of view. However the work you hand in should be entirely your own write-up.   

EXAMS: These will take place during the regular class period on February 10, March 9 and  April 20 (all Wednesdays). Exam problems will be similar to homework problems. I will clarify a week or so ahead of time exactly what topics will be covered on each exam. Policies concerning make-up exams will follow the general Mathematics department guidelines. The final exam time will be posted here as soon as it is available. 

CLASS ATTENDANCE: Although attendance will not be taken, regular attendance and participation in class activities are prerequisites for success, and the class participation portion of your grade may be adversely affected by repeated absences.Office hours are for those of you who need additional help beyond that given in the class; they are not substitutes for class.

ELECTRONIC DEVICES: Cell phones and other communications devices should be turned off during class time. In the event that a student needs to keep his/her cell phone on for an emergency, please notify the instructor before class. During class time, laptop computers or tablets should only be used for class appropriate purposes.

OTHER RESOURCES: Course information and announcements can also be found via Blackboard Learn where you can also keep track of your grades.

If a student has a disability that qualifies under the Americans with Disabilities Act and Section 504 of the Rehabilitation Act and requires accommodations, he/she should contact the Disability Resources (DR) office for information on appropriate policies and procedures. DR is located on the main floor of the Student Services Building, Room 1076; their phone is 515-294-7220.