This calendar is subject to change throughout the quarter; it was last updated on
Catalog descriptionThis course uses a variety of topics in mathematics to introduce the students to rigorous mathematical proof, emphasizing quantifiers, induction, negation, proof by contradiction, naive set theory, equivalence relations and epsilon-delta proofs. Required of all departmental majors. Prerequisite: Math. 20F or Math 31AH or consent of instructor.
TextbookPeter J. Eccles, An Introduction to Mathematical Reasoning.
HomeworkThe best (and only) way to learn mathematics is by doing it. In this course, you will be learning new mathematical concepts, and will also be developing mathematical communication skills. So, there will be two kinds of homework.
- Homework exercises will be due weekly and will be relatively quick exercises to increase your familiarity with the concepts covered in the class. The assignments are posted here; check often in case of updates. Each assignment will consist of five (5) questions and will be graded out of 25 points.
- Long-form homework will be due once every two weeks and will roughly correspond to the five major parts of the course.
They will involve slightly longer investigations of key concepts, usually requiring some proof and some computation. One of the goals
of these assignments is to help you develop your mathematical writing skills. To this end, these assignments
must be typed(though you may choose to write out by hand any computations or tables/figures) in full sentences of grammatically correct English. Your exposition should be self-contained: include the problem statement and any definitions you require. The idea is that a fellow math major who isn't currently in the class should be able to pick up your work and understand both what you are trying to prove and how you proved it. The grading scheme for these assignments is available here, along with a sample.
You are allowed and encouraged to work on the homework problems together. However, you must write up the solutions individually.
UCSD's policy on Academic Integrity may be found here.
Homework must be neatly written or typed up and stapled together. No late homework will be accepted.
ExamsThere will be an in-class midterm exam and a final exam. The exam dates are on the calendar above. You may not use any notes, books, or calculators during the exams. To prevent distraction and any appearance of cheating, any cell phones must be put away during exams.
GradingFinal grades in the course will be assigned according to the following approximate weighting:
homework exercises 10%, long-form homework 15%, midterm exam 25%, and final exam 50%.
The homework grades will be based on your best 7 of 8 homework exercises and your best 4 of 5 long-form homeworks.