MATH 106, Fall 2019

Professor

Elham Izadi ; AP&M 6240 ; 858-534-2638 ; eizadi@math.ucsd.edu ; Office hours: 16:00-17:00 Mondays and 15:30-16:30 Fridays ;
Lectures: Tuesday, Thursday 12:30-13:50 AP&M B412
Final Exam: 12/13/2019 11:30-14:29, room B412

Teaching Assistant

Iacopo Brivio ; AP&M 2230 ; 858-999-6073 ; ibrivio@ucsd.edu ; Office hours: 10:00-12:00 Fridays
Discussion Section: Wednesdays 18:00-18:50 AP&M 6402

Course description

This is an introduction to Algebraic Geometry

Prerequisites

MATH 100B or 103B, familiarity with Linear Algebra, elementary Topology and advanced Calculus.

Text

Complex Algebraic Curves, by Frances Kriwan.

Supplemental references

Conics and Cubics, A Concrete Introduction to Algebraic Curves, by Robert Bix
Elementary Algebraic Geometry, by Keith Kendig
Ideals, Varieties and Algorithms, An Introduction to Computational Algebraic Geometry and Commutative Algebra, by David Cox, John Little and Donal O'Shea

Homework

There will be weekly homework assignments which will be collected and graded. You are encouraged to work on these problem sets with a small group of other students in the class, but every student should write up his or her own solutions.
Weekly homework will be due on Friday at 17:00. Please put your homework in the drop box in the basement of AP&M labelled Math 106. Before you submit, please make sure to staple your work and have your name and ID number written clearly on top of the front page.

No late homework will be accepted. However, the lowest homework grade will be dropped.

Reading

Please make sure to read the sections of the textbook corresponding to the assigned homework exercises; there will be some questions on the exams on the assigned reading whether or not it is discussed in the lecture (please ask me or your TA for help with the assigned reading if you need help).

Exams

Final Exam: Friday December 13, 11:30-14:29, in TBA. As usual, the final exam is cumulative.
Midterm 1: Thursday October 24, in class
Midterm 2: Thursday November 21, in class
No make-up exams will be given (please see the grading policy below in case you miss a midterm). No textbooks, notes, calculators, phones or electronic devices are allowed during exams.
You do not need to bring anything other than a pen or pencil to the exam. We will not use blue books.
Please ensure that you do not have a schedule conflict involving the final examination; you should not enroll in this class if you cannot take the final examination at its scheduled time.

Grading

Your final grade for the course will be the maximum of the following

Homework: 20%, Each midterm: 20%, Final: 40%
Homework: 20%, Midterm 1: 20%, Final: 60%
Homework: 20%, Midterm 2: 20%, Final: 60%
In addition, you must pass the Final Exam in order to pass the course.
Since there are no makeup exams, if you miss an exam then your course grade will be computed with your final exam counting 60%.

Regrade Requests

You midterm exams will be returned to you in discussion section. If you wish to have the grader take a second look at your exam, please attach a note explaining your concern and return the exam to your TA. Regrade requests will not be considered once your exam leaves the room.

Academic Honesty and Integrity

UCSD's code of academic integrity outlines the expected academic honesty of all students and faculty, and details the consequences for academic dishonesty. The main issues are cheating and plagiarism. However, academic integrity also includes things like giving credit where credit is due (listing your collaborators on homework assignments, noting books, webpages, or other resources containing information you used in solutions, etc.).

Some class notes:

09/26/2019 10/01/2019 10/03/2019 10/08/2019 10/10/2019 11/15/2019 10/17/2019 10/29/2019 10/31/2019 11/05/2019 11/07/2019 11/12/2019 11/14/2019 11/26/2019 12/03/2019 12/05/2019

Homework assignments:

Homework 1: due Friday October 4
Chapter 2: 2.1, 2.2, 2.3

Homework 2: due Friday October 11
Chapter 2: 2.4, 2.5, 2.6

Homework 3: due Friday October 18
Chapter 2: 2.7, 2.8, 2.9 (note: these are harder than before, so please work on them as soon as you can and let me know if you need help or hints for doing them)

Homework 4: due Friday October 25
Chapter 3: 3.1, 3.4

Homework 5: due Friday November 8
Chapter 3: 3.2, 3.3, 3.5, 3.6

Homework 6: due Friday November 15
Chapter 3: 3.7, 3.8, 3.9

Homework 7: due Friday November 22
Chapter 3: 3.10, 3.11, 3.12

Homeowrk 8: due Friday December 6
Chapter 3: 3.13, 3.14, 3.16

Practice problems for the first midterm

Solutions to the first midterm

Practice problems for the second midterm

Solutions to the second midterm

Practice problems for the final exam

Note that some adjustment to the above might be necessary during the quarter.
Elham Izadi Last modified: Tue Nov 26 17:14:33 PST 2019