Calculus with Analytic Geometry III
Winter Quarter 2011
This is the third and the most difficult course in the 124/5/6 three quarter sequence.
It covers analytic geometry, differential geometry, partial derivatives, double integrals, and Taylor polynomials and series. The detailed syllabus is here.
Prerequisites: Math 124, Math 125. You should be familiar with differential and integral calculus of functions of one variable.
This course is often chosen by future science, engeneering, chemistry or biology majors.
(For math majors, we have another sequence: the Honors Calculus Sequence Math 134/5/6.)
We use Stewart's book Multivariable Calculus , chapters 10, 12 - 15, and Taylor Notes.
These are the lecture notes on Taylor polynomials and series, which are used instead of the Chapter 11 of Multivariable Calculus
Announcements
You will receive your grades after Friday, 03/18/2011.
Thank you for your collaboration. Good luck!
-
Math126CA
- Lectures on Monday, Wednesday, Friday, 11:30 - 12:20 at Condon Hall 109
- Quiz sections on Tuesday, Thursday, 11:30 - 12:20 at Condon Hall 223B
-
Math126CB
- Lectures on Monday, Wednesday, Friday, 11:30 - 12:20 at Condon Hall 109
- Quiz sections on Tuesday, Thursday, 12:30 - 1:20 at Condon Hall 223B
The course instructor is
Professor James Zhang
Office hours: Wednesday and Friday 4:00-4:45pm at Padelford Hall C420
E-mail: zhang[a_t]math.washington.edu
The teaching assistant is
Andrey Sarantsev
Office hours: Wednesday, 1-2 and 4-5pm, Math Study Center, Communications Building B014, cubicle 4
E-mail: ansa1989[a_t]math.washington.edu
We use the textbook: Stewart, Multivariable Calculus and Taylor Notes
By default, the sections in the syllabus below relate to the Stewart's book
- Analytic Geometry
- Three-dimensional Cartesian coordinates and vectors (12.1-2)
- Polar coordinates (10.3)
- Dot and cross product (12.3-4)
- Lines and planes (12.5)
- Quadric surfaces (12.6)
- Differential Geometry
- Derivatives and integrals of vector functions (10.2, 13.2)
- Curvature (13.3)
- Motion in the space: velocity and acceleration (13.4)
- Multivariable Differential Calculus
- Partial derivatives of first and higher orders (14.3)
- Tangent planes and linear approximation (14.4)
- Local maxima and minima of functions of two variables (14.7)
- Multivariable Integral Calculus
- Definition of double integrals (15.1, 15.3)
- Double and iterated integrals (15.2)
- Double integrals in polar coordinates (15.4)
- Applications of double integrals (15.5)
- Taylor Polynomials and Taylor Series (Taylor Notes)
- Linear and quadratic approximation (sections 1-2)
- Taylor approximation in the general case (section 3)
- Taylor series (sections 4-5)
Your grade is determined by how you do relative to the class as a whole.
Grades will be based on the following:
- Quiz -- 10 %
- Homework -- 10 %
- Midterm 1 -- 20 %
- Midterm 2 -- 20 %
- Final Exam -- 40 %
Homework will be assigned
weekly and be collected in Quiz Section on Thursday every week
(except for week 1, 4 and 8).
We have a grader to grade your homework, but the amount of homework that
can be graded is limited. No late homework will be accepted.
Click here for Homework
Quizzes will be given on Tuesday in week 2, 6, and 10.
If you have sufficient reasons, you can take a make-up quiz during my office hours. This will be the same quiz, but with slightly altered problems.
Thursday Quiz Sections are devoted to questions and answers; you are also given a set of Challenge Problems taken from old exams, this is a practice for midterms and the final exam. They are totally non-mandatory; if you solve some of them and submit them at the end of Thursday quiz section,
I will grade them. It will not affect your grade in any way whether you solve or not solve them.
-
Midterm 1
-
Midterm 2
-
Final Exam
Rules for taking exams
- Graphing calculators are not allowed on quizzes and
exams in Math 126. A graphing calculator is any device with
a multiline display that has the ability to graph mathematical
functions. Examples are the TI-85 or the HP-48G.
- You will need a scientific calculator for Math 126. It must
have trigonometric functions, like Sin and Cos, as well as
logarithms and exponentials (ln and exp).
- For Midterm and Final exams, you are allowed to bring
one page of hand-written notes of standard size.
- You must bring your Photo ID to all exams.
- There are no make-up exams. If you have a compelling and
well-documented reason for missing the final exam, speak to Math Advising
Office (PDL C-36) about it. See
Rules
- If you have a regrade request, please submit a written explanation with your midterm to me or Professor Zhang.
It is a good idea to conduct a mid-quarter evaluation of your teaching. This helps to get
a constructive feedback and improve your quality of teaching. Here are the two Anonymous Surveys used this quarter.