Math 347H: Fundamental Mathematics (Honors)

Fall 2017

Class info	Exams	Instructor info
Lecture: TueThu 11–11:20am in 145 Altgeld Hall Deconfusion session: Tue 5-5:50pm in 343 Altgeld Hall Emergency Info	Midterm 1: Sep 28 (Thu), 11–12:20pm in 145 Altgeld Hall Midterm 2: Nov 2 (Thu), 11–12:20pm in 145 Altgeld Hall Final exam: Dec 18 (Mon), 8–11am in 145 Altgeld Hall	Name: Anush Tserunyan Email: anush at illinois dot edu Office: 369 Altgeld Hall

When is it due? Homework will be assigned each week and collected on Thursday in class before the lecture starts.
Will late homework be accepted? No. To deal with contingencies, the lowest homework score will be dropped.
Turn-in policy: Homework has to be stapled, otherwise it won't be accepted.
Homework format: Every homework assignment will consist of exercises from the textbook as well as not from the textbook (both equally mandatory).
Can we work in groups? Yes, in fact, it is encouraged! But, after a group discussion of solutions to the homework exercises, each student has to write them on his/her own in his/her own words. If two solutions are too similar, they will be disqualified.

Textbook: Sally P, Tools of the trade: Introduction to advanced mathematics, AMS, Providence, RI, 2008. xiv+193 pp. [Free online access through the library.]
What will be covered: The first 4 chapters of the textbook.

Grading scheme: total grade = homework 15% + midterms 2 x 22% + final exam 41%
Where to look for your grades: All of your scores for homework and exams will be recorded on Moodle (learn.illinois.edu). Log in with your UIUC netID and click on Math 347H.
Letter grades: The final letter grade will be assigned based on the overall percentage obtained by the above grading scheme. The overall percentages will be curved in the very end of the semester, but no exam (midterms and final) will be curved individually.
Letter grade distribution: Up to minor adjustments, usually the top 34% of students gets an A grade (including plus and minus), the middle 33% a B grade, and the bottom 33% a C grade and lower. These percentages may vary depending on the overall performance of the students in class.
Grading disputes: Regularly check your homework and exam scores on Moodle to verify that they are correct. Any grading complaints must be submitted within two weeks of the due date or exam date of the grade in question.

Instead of holding office hours in my office, I will be holding weekly Deconfusion Sessions, during which I will just be in a classroom (to be posted above) for an hour and you can come ask questions or simply work on your homework. I encourage working in groups and having group discussions of problems. I will be there to help you when you get stuck. I strongly advise everyone to come even if they don't have any questions and even if they have fallen behind; the latter students can start reading the missed material and ask me questions about it while reading.
If you need to talk to me regarding other matters, email me to schedule an appointment.

Time and place: Sep 28 (Thu), 11–12:20pm in 145 Altgeld Hall
Coverage: Everything from the beginning of the semester up to, including, the lecture on Thu (Sep 21). This includes §1–5 of Chapter 1 of Sally's book, but we have covered much more and this "much more" will also be on the midterm. Pay extra attention to the definitions, they will be explicitly asked on the midterm.
Practice problems [pdf]
How to study (in decreasing priority): Carefully review all of the definitions and theorems we've learnt in class, structure the material and write a summary for yourself. Do the practice problems. Review all of the homework problems.

Time and place: Nov 2 (Thu), 11–12:20pm in 145 Altgeld Hall
Coverage: Everything covered from right after Midterm 1 to the lecture on Oct 26 (inclusively). This includes:
- Equivalence relations and examples of them
- Equivalence relation vs. partitions
- Quotients by equivalence relations and the construction of ℚ
- Well-definedness of functions and relations on quotients by equivalence relations
- Rings/domains/fields, examples of each, in particular ℤ/nℤ
- Injections/surjections/bijections
- Images/preimages of functions, their behavior with the set operations
- Compositions of functions and when they are injective/surjective
- Left/right/two-sided inverses and when they exist
- Finite/infinite sets
Practice problems [pdf]
How to study (in decreasing priority): Carefully review all of the definitions and theorems we've learnt in class (they will be explicitly asked on the midterm), structure the material and write a summary for yourself. Do the practice problems. Review all of the homework problems.

Time and place: Dec 18 (Mon) 8–11:00am in 145 Altgeld Hall
Coverage: Cumulative, everything from the first to the last lecture.
How to study: Structure the entire course material and write a summary for yourself. Start reviewing the definitions and theorems section-by-section. After each section, review the corresponding homework. Do the optional HW11 to get some practice with convergence of sequences.