|Name||Role||Office||Office hours||Zoom link|
|Zilu Ma||Teaching Assistantfirstname.lastname@example.org||
Please, check the following calendar for possible reschedulings of the office hours.
|Lectures (live Q&A)||Monday, Wednesday, Friday||3:00 - 3:50pm||link|
|Discussion C01||Monday||5:00 - 5:50pm||link|
|Midterm Exam 1||4||Wednesday, Jan 26||see Midterm Exams|
|Midterm Exam 2||8||Wednesday, Feb 23||see Midterm Exams|
|Final Exam||Finals||Wednesday, Mar 16||3pm - 6pm; see Final Exam|
Welcome to Math 142A: a one quarter course introduction to analysis (I). According to the UC San Diego Course Catalog, the topics covered are the real number system, numerical sequences and series, infinite limits, limits of functions, continuity, differentiation.
Here is a more detailed listing of course topics, in the sequence they will be covered, together with the relevant section(s) of the textbook. While each topic corresponds to approximately one lecture, there will be some give and take here. This is a rough schedule that will be updated during the term.
|Q&A||Week||Topic||Ross||Slides||Lecture videos||Preliminary Slides||Additional Videos|
|1/5||1||ℕ and ℚ||§§ 1-2||Slides 1||Lecture 1||Slides 1|
|1/7||1||Ordered field||§ 3||Slides 2||Lecture 2||Slides 2|
|1/10||2||Completeness Axiom||§§ 4-5||Slides 3||Lecture 3||Slides 3|
|1/12||2||Limits of Sequences||§§ 7-8||Slides 4||Lecture 4||Slides 4|
|1/14||2||Limit Theorems for Sequences||§ 9||Slides 5||Lecture 5||Slides 5|
|1/17||3||Martin Luther King, Jr. Holiday|
|1/19||3||Limit Theorems for Sequences||§ 9||Slides 6||Lecture 6||Slides 6||Lecture 6 - Important Examples|
|1/21||3||Monotone Sequences||§ 10||Slides 7||Lecture 7||Slides 7|
|1/24||4||Cauchy Sequences||§ 10||Slides 8||Lecture 8||Slides 8|
|1/28||4||Subsequences||§ 11||Slides 9||Lecture 9||Slides 9|
|1/31||5||Subsequences||§§ 11-12||Slides 10||Lecture 10||Slides 10|
|2/2||5||Series||§ 14||Slides 11||Lecture 11||Slides 11|
|2/4||5||Series||§§ 14-15||Slides 12||Lecture 12||Slides 12||Important Example 9|
|2/7||6||Continuous Functions||§ 17||Slides 13||Lecture 13||Slides 13|
|2/9||6||Properties of Continuous Functions||§ 18||Slides 14||Lecture 14||Slides 14|
|2/11||6||Uniform Continuity||§ 19||Slides 15||Lecture 15||Slides 15|
|2/14||7||Uniform Continuity||§ 19||Slides 16||Lecture 16||Slides 16|
|2/16||7||Limits of Functions||§ 20||Slides 17||Lecture 17||Slides 17|
|2/18||8||Limits of Functions||§ 20||Slides 18||Lecture 18||Slides 18|
|2/21||7||President's Day Holiday|
|2/25||8||Basic Properties of the Derivative||§ 28||Slides 19||Lecture 19||Slides 19||Lecture 19 - Important Examples|
|2/28||9||The Mean Value Theorem||§ 29||Slides 20||Lecture 20||Slides 20|
|3/2||9||L'Hôpital's rule||§ 30||Slides 21||Lecture 21||Slides 21|
|3/4||9||Taylor's Theorem||§ 31||Slides 22||Lecture 22||Slides 22|
|3/7||10||Taylor's Theorem||§ 31||Slides 23||Lecture 23||Slides 23|
Prerequisite: MATH 31CH or MATH 109 or concent of instructor.
Lecture: You are responsible for material presented in the lecture whether or not it is discussed in the textbook. You should expect questions on the exams that will test your understanding of concepts discussed in the lecture.
Homework: Homework assignments are posted below, and will be due at 11:59pm on the indicated due date. You must turn in your homework through Gradescope; if you have produced it on paper, you can scan it or simply take clear photos of it to upload. Your lowest homework score will be dropped. It is allowed and even encouraged to discuss homework problems with your classmates and your instructor and TA, but your final write up of your homework solutions must be your own work.
Midterm Exams: The two midterm exams will take place during the lecture time at the dates listed above.
Final Exam: The final examination will be held at the date and time stated above.
The above exam policies will be applied to in-person exams. The exam policies will be changed in case of the changes in exam modality.
Administrative Links: Here are two links regarding UC San Diego policies on exams:
Grading: Your cumulative average will be computed as the best of the following weighted averages:
Your course grade will be determined by your cumulative average at the end of the quarter, and will be based on the following scale:
The above scale is guaranteed: for example, if your cumulative average is 80, your final grade will be at least B-. However, your instructor may adjust the above scale to be more generous.
Academic Integrity: UC San Diego code of academic integrity outlines the expected academic honesty of all studentd and faculty, and details the consequences for academic dishonesty. The main issues are cheating and plagiarism, of course, for which we have a zero-tolerance policy. (Penalties for these offenses always include assignment of a failing grade in the course, and usually involve an administrative penalty, such as suspension or expulsion, as well.) However, academic integrity also includes things like giving credit where credit is due (listing your collaborators on homework assignments, noting books or papers containing information you used in solutions, etc.), and treating your peers respectfully in class. In addition, here are a few of our expectations for etiquette in and out of class.
Weekly homework assignments are posted here. Homework is due by 11:59pm on the posted date, through Gradescope. Late homework will not be accepted.