Math 162A (45190) - Winter 2018
Introduction to Differential Geometry
M 4-6, W 10-12
MWF 12pm MSTB 122
(45191) TuTh 12pm MSTB 114
RH 540W/M 11-12 + W 4-6
Applications of advanced calculus and linear algebra to the geometry of curves and surfaces in space.
The goal is to reach the Gauss-Bonnet Theorem in two terms.
Course Texts (optional)
Elements of Differential Geometry,
by Richard Millman and George Parker, Prentice-Hall 1977, and
Differential Geometry of Curves and Surfaces,
by Manfredo do Carmo, Prentice-Hall 1976 (1st ed) or 2016 (2nd ed).
In 162A we will cover most of the material in chapters 1, 2 and 4 of Millman+Parker,
though the style will be different.
Either book will be helpful but unnecessary: all
homework will be from pdfs posted on the class website, and (sketchy) LaTeXed
notes will be provided.
For a more detailed syllabus including topics/assessments click
The final grade for the course will be tentatively be computed as follows:
45% final, 25% midterm, 20% Quizzes, 10% Homework
Add/Drop & Enrollment Questions
will be set each week. A small number of these will collected the following week, some or all of which will be graded.
One homework will be dropped. Solutions to the homework questions will be placed in a eee drop-box after the submission deadline.
Six Quizzes will be given in discussion class, and assume knowledge of the homework material for that day. One quiz will be dropped.
There will be one midterm during normal class time on
Friday 9th February
The final exam is in the usual classroom on
Monday 19th March, 1:30-3:30pm
The exam will be comprehensive.
In Mathematics classes, decisions pertaining to wait-lists, adds, drops, and pass/no-pass changes are
NOT made by Instructors. Refer
for information on how to navigate the system. Essentially you have till the end of week 2 to complete
all adds, drops and grade changes, all of which is done online.
Class Policies + Grading
- The final exams will be available for you to consult, but not take away, in the Spring quarter.
- No calculators in the quizzes and exams - make sure you can do the homework questions without them!
- Make sure you have a legible ID card for the exams. If your UCI ID has a smudged picture, bring your driver's license.
Your exams will not be graded without proof of who you are.
- Late homework will not be accepted for credit although we will be happy to discuss its mathematical quality with you.
- The purpose of dropped quizzes and homework is to allow you a day off, for whatever reason, be it fun or serious.
In order to have a second quiz or homework dropped, you must provide documentation to the TA covering AT LEAST TWO assessments.
If you choose to sleep in and miss one assessment early in the term before getting sick later on, you will have wasted
- There will be no opportunity for extra credit. Generally speaking, any request to be treated differently to other
students will be granted only in the case of a documented emergency.
- No curving of scores will be done. As a guide to how you are doing, you will receive a letter-grade equivalent with
your midterm score. The overall letter-grade scale will be determined at the end of term in line with the following metrics:
- A grade of C/C- means you are considered ready to take any class that has this one as a pre-requisite.
- An A grade means two things:
- You know the definitions and theorems well enough to be able to apply them in unfamiliar situations.
- You should be able to teach the core course material. This means being able to explain what the
concepts mean, not simply being able to perform computations.
Both the Math department and UCI take a dim view of dishonest behavior with regards to assessments:
submitting another's work as your own, copying during exams, bringing notes to exams, etc. Harsh penalties are in
place for students who are caught; depending on the seriousness you may be given an F for the assessment, for
the class as a whole, or even suspended from the University.