Course materials and Zoom links will be posted on CANVAS.
Matthew Wiersma | mtwiersma@ucsd.edu | Zoom office hours: MWF 9-9:50 am
Gregory Patchell | gpatchel@ucsd.edu | Zoom office hours: Tues 3-4 pm
Basic Analysis: Introduction to Real Analysis I (version 5.3) by JirĂ Lebl
This free textbook is available through the author's website (linked above)
Understanding Analysis (second edition) by Stephen Abbott
Elementary Analysis: The Theory of Calculus (second edition) by Kenneth A. Ross
Electronic copies of these two textbooks are available to UCSD students for FREE. See here for instructions.
Your percentage grade in the course is calculated to be the following:
20% Homework + 80% Tests (best 4 of 5)
The worst test will be dropped for each student, and the remaining tests are equally weighted at 20% each.
This course is "curved" in the sense that precise grade cutoffs are determined at the end of the quarter. However, the following guidelines will be followed.
The course median will be at least a B-.
Your grade will be at least as high as guaranteed by the department's standard grade cutoffs:
97% guarantees a grade of at least an A+
93% guarantees a grade of at least an A
90% guarantees a grade of at least an A-
87% guarantees a grade of at least a B+
83% guarantees a grade of at least a B
80% guarantees a grade of at least a B-
77% guarantees a grade of at least a C+
73% guarantees a grade of at least a C
70% guarantees a grade of at least a C-
Analysis is a tough subject and percentage grades tend to be lower in analysis classes than in other math courses. Because of this, final letter grade cutoffs will almost certainly be much more generous than those listed above.
Assignments will be posted to Canvas and are to be submitted through Gradescope by 11:59pm. No late assignments will be accepted.
HW1 is due Friday, January 15
HW2 is due Friday, January 22
HW3 is due Friday, January 29
HW4 is due Friday, February 5
HW5 is due Friday, February 12
HW6 is due Friday, February 19
HW7 is due Friday, March 5
HW8 is due Friday, March 12
Note: there is no assignment due in week 8 of the course.
All assignments are equally weighted. If at least 60% of students fill out CAPEs at the end of the term, then the worst assignment will be dropped for each student.
Quizzes will be timed and available through Canvas. Additional details: TBA.
Test 1 is on Monday, January 25
Test 2 is on Monday, February 8
Test 3 is on Monday, February 22
Test 4 is on Monday, March 8
Test 5 is on Wednesday, March 17
Following the return of each assignment and test, students have three days to request a regrade of an item on the assessment. Requests submitted after 3 days have elapsed will not be considered. Regrade requests must be accompanied by a detailed explanation of why you believe there was a grading error, and may result in your grade going up, down, or staying the same.
You are allowed to discuss homework problems with your classmates. However, the final write-up of solutions should be your own work, and reflect your own understanding of the problems. Copying or paraphrasing part of the solution to a homework problem from a classmate or from the internet is considered 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.
Any cheating on tests will result in an automatic F in the course plus administrative penalties. There will be no exceptions to this rule.
Any assignment cheating will result in an automatic 0% in the homework category for this course plus administrative penalties. There will be no exceptions to this rule.
Students agree that by taking this course that student submissions may be subject to submission for textual similarity review to Turnitin.com for the detection of plagiarism. All submitted content will be included as source documents in the Turnitin.com reference database solely for the purpose of detecting plagiarism of such papers. Use of the Turnitin.com service is subject to the terms of use agreement posted on the Turnitin.com site.
Real numbers
Inequalities
Supremums, infimums
Archimedean property
Density of the rational numbers
Sequences
Countable sets
Limits
Monotone convergence theorem
Limit superior, limit inferior
Bolzano-Weierstrass theorem
Cauchy sequences
Series
Convergence tests
Conditional vs. absolute convergence
Topology of the real numbers
Cluster points
Closed sets
Compact sets
Limits and continuity of functions
Limits of functions
Continuous functions
Intermediate value theorem
Continuous functions on compact sets
All information on this webpage is subject to change. Students are responsible for checking this webpage regularly for updates.