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
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 higher of the following two schemes:
20% Homework + 60% Quizzes (4 quizzes, 15% each) + 20% Final Exam
20% Homework + 45% Quizzes (best 3 of 4 quizzes, 15% each) + 35% Final Exam
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.
There will be weekly* homework assignments due Fridays at 11:59pm beginning in week 2. No late assignments will be accepted. 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.
* The instructor reserves the right to omit one or more of the weekly homework assignments.
Quizzes will be timed and available through Canvas. Additional details: TBA.
Quiz 1 is on Monday, April 19
Quiz 2 is on Monday, May 3
Quiz 3 is on Monday, May 17
Quiz 4 is on **Wednesday**, June 2
The Final Exam is on Wednesday, June 9 and will be cumulative. Additional details: TBA.
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.
Differentiation
Mean Value Theorem
Darboux's Theorem
L'Hospital's Rule
Riemann Integral
Integrability of continuous functions
Fundamental Theorem of Calculus
Sequences and Series of Functions
Uniform vs pointwise convergence
Power series
Abel's Theorem
Taylor series
Additional topics; possible topics include:
A continuous, nowhere differentiable function
The exponential function
The Weierstrass Approximation Theorem
Picard's theorem
Contraction mapping principle
Multivariable analysis
All information on this webpage is subject to change. Students are responsible for checking this webpage regularly for updates.