Math 104A Syllabus
Fall 2024

Course:   Math 104A (Course Catalog)

Title:  Number Theory I

Credit Hours:  4  

Prerequisites:   MATH 100B or MATH 103B.

Catalog Description:  Elementary number theory with applications. Topics include unique factorization, irrational numbers, residue systems, congruences, primitive roots, reciprocity laws, quadratic forms, arithmetic functions, partitions, Diophantine equations, distribution of primes. Applications include fast Fourier transform, signal processing, codes, cryptography.
Textbook:  Fundamentals of Number Theory by William J. LeVeque

Course Readings:  Reading the sections in the textbook that correspond to what we are discussing in class is a very important part of learning the subject. Lecture time is very limited and not every subject can be fully covered in the time allotted for lecture. With material at this level, it is in your own interests to read the related chapters in the textbook.
Homework:   Homework assignments will be announced on Canvas.


• Homework is to be submitted to Gradescope on the assigned due date by 11:59 pm Pacific Time. In order to accomodate for unforeseen technical difficulties, forgetting, being hungover, and so on, we will accept homework submitted within 24 hours from the due date without a penalty.
• There will be 8-9 problem sets. Your lowest two homeworks will be dropped.
• In view of the above arrangement, NO late homework will be accepted for any reason. This includes illness, emergencies, and so on. If there is an extended issue that may prevent you from turning in three or more homeworks, then please contact me.
• You can work on the problems with your classmates, but you must write down your own version. Copying solutions from others, ChatGPT, Chegg, etc. is not accepted and is considered cheating.
• Due to limited grading resources, only a subset of the problems will be graded for accuracy each week. The rest will be graded for completion, but with a much lower weight.
• A good portion of the exams will be based on the weekly problem sets. So it is extremely important for you to make sure that you understand each one of them.
Exams:  There will be two midterms and a final exam:


• Midterm 1: Friday, October 18 in class
• Midterm 2: Monday, November 18 in class
• Final Exam: Thursday, December 9 11:30AM


• Unless otherwise prohibited explicitly in the instructions, you can use one 8.5 x 11 inch sheet of handwritten notes (both sides).
• You must bring a valid photo ID to all the exams.
• It is your responsibility to ensure that you do not have a schedule conflict involving the final examination or midterms.
  You should not enroll in this class if you cannot sit for the final examination or midterms at their scheduled times.
• Make-up exams will not be given.
Grading:

Your weighted score is the best of


• 20% Homework,   22.5% each midterm,   35% Final Exam
• 20% Homework,   30% best midterm,   50% Final Exam


Your letter grade is determined by your weighted score using the best of the following methods:



• A+	A	A-	B+	B	B-	C+	C	C-	D	F
  97	93	90	87	83	80	77	73	70	60	<60



• Based on a curve where the median corresponds to the cut-off B-/C+.

Please notice that outside factors, including the need for a certain grade for admission/retention in any academic program, scholarship or transfer credit, graduation requirements or personal desire for a specific grade DO NOT appear in the above calculations, and thus are not considered in any way in the determination of your course grade. Effort, improvement, and participation will all dramatically improve your grade in the course in that they will allow you to do well on exams, and the final exam. They will NOT, however, actively participate in the calculation of your course grade.


Regrades:  All graded material will be returned using Gradescope; regrading will also be administred using Gradescope. Any regrade requests must be submitted via Gradescope during the given window. No other regrades will be accepted. Regrade requests are to be used to correct factual grading errors only. Anything resembling fishing for partial credit will be denied. Disrespectful regrade requests will be denied.
General Advice:
• Please ask questions in class. There are no stupid questions!
• Come to office hours when you’re stuck. Or just to work on the homework. Or to talk about math, life, or anything else.
• Do not fall behind early. Most of the material in this course builds upon previous lessons.
• Success in mathematics is more about putting in hard work than having natural talent.
• Study by DOING problems rather than passively reading notes
Academic Dishonesty:  Academic dishonesty is considered a serious offense at UCSD.  Students caught cheating will face an administrative sanction which may include suspension or expulsion from the university.  It is in your best interest to maintain your academic integrity. (Click here for more information.)
Accommodations:  Students requesting accommodations and services due to a disability for this course need to provide a current Authorization for Accommodation (AFA) letter issued by the Office for Students with Disabilities (OSD) , prior to eligibility for requests. Receipt of AFAs in advance is necessary for appropriate planning for the provision of reasonable accommodations. OSD Academic Liaisons also need to receive current AFA letters.
Name and Gender Pronouns:   UC San Diego is committed to supporting its students' name and gender preferences. Class rosters provided to your instructor and TAs have students' legal names, but we will strive to honor your request to be addressed using a preferred name or gender pronoun. Please let your instructor and TA know your preferences so that we can make changes to our records. (Certain university records may be beyond our ability to change, however.)
Equity, Inclusion, and Respect:   We are committed to the UC San Diego Principles of Community . "To foster the best possible working and learning environment, UC San Diego strives to maintain a climate of fairness, cooperation, and professionalism. These principles of community are vital to the success of the University and the well being of its constituents." The principles of community include (but are not limited to): "We affirm each individual's right to dignity and strive to maintain a climate of justice marked by mutual respect for each other." "We reject acts of discrimination based on race, ethnicity, sex, gender identity, age, disability, sexual orientation, religion, and political beliefs, and, we will confront and appropriately respond to such acts." "We promote open expression of our individuality and our diversity within the bounds of courtesy, sensitivity, confidentiality, and respect." "We are committed to promoting and supporting a community where all people can work and learn together in an atmosphere free of abusive or demeaning treatment." Visit the Office for Equity, Diversity, and Inclusion for more information.

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Jack Wesley ( wjwesley@ucsd.edu)