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