- Wuttisak
Trongsiriwat at 12, in 26-322.

Office hours are Mondays 5 to 6 and Tuesdays 4 to 5, in E17-401U. - Menglu
Wang at 11, in 36-112.

Office hours are Wednesdays 3 to 5, in E18-466B. - Sam Watson at
2, in 4-159.

Office hours are Mondays from 3 to 4 and Wednesdays from 4 to 5, in E18-466B. - Jun
Yu at 12 and at 1, in E17-128.

Office hours are Wednesdays 2 to 4, in E18-466B.

- Lecture 1: Vectors
in ℝ
^{2}and ℝ^{3}. Given on September 4^{th}. - Lecture 2: The dot
product. Given on September
5
^{th}. - Lecture 3: The cross product. Given
on September 9
^{th}. - Lecture 4: Planes and distances
in ℝ
^{3}. Given on September 11^{th}. - Lecture
5: ℝ
^{n}, linear transformations and matrices. Given on September 12^{th}. - Lecture 6: Cylindrical and spherical
coordinates. Given
on September 16
^{th}. - Lecture 7: Functions. Given
on September 18
^{th}. - Lecture 8: Limits. Given
on September 23
^{rd}. - Lecture 9: Derivatives and partial
derivatives. Given on September
25
^{th}. - Lecture 10: More about
derivatives. Given on September
26
^{th}. - Lecture 11: Higher
derivaties. Given on October
2
^{nd}. - Lecture 12: The chain
rule. Given on October 3
^{rd}. - Lecture 13: Implicit functions. Given on October 7
^{th}. - Lecture 14: Parametrized
curves. Given on October
9
^{th}. - Lecture 15: Curvature and
torsion. Given on October 10
^{th}. - Lecture 16: Vector
fields. Given on October 14
^{th}. - Lecture 17: Flow
lines. Given on October 16
^{th}. - Lecture 18: Divergence, gradient
and curl. Given on October 17
^{th}. - Lecture 19: Taylor polynomials. Given on October 23
^{rd}. - Lecture 20: Maxima and minima:
I. Given on October 24
^{th}. - Lecture 21: Maxima and minima:
II. Given on October 28
^{th}. - Lecture 22: Double integrals. Given on October 30
^{th}. - Lecture 23: More double integrals. Given on October 31
^{st}. - Lecture 24: Triple
integrals. Given on November 4
^{th}. - Lecture 25: Change of
coordinates: I. Given on November 6
^{th}. - Lecture 26: Change of
coordinates: II. Given on November 7
^{th}. - Lecture 27: Line
intergrals. Given on November
13
^{th}. - Lecture 28: Green's Theorem. Given on November
18
^{th}. - Lecture 29: More on conservative
vector fields. Given on November
20
^{th}. - Lecture 30: Surface integrals. Given on November
21
^{st}. - Lecture 31: Flux. Given on November
25
^{th}. - Lecture 32: The Divergence Theorem. Given on December
2
^{nd}. - Lecture 33: Stokes's Theorem. Given on December
4
^{th}. - Lectures 34 and 35: Calculus of
variations. First half given on December
5
^{th}.

- Homework
1. Due September
18
^{th}. - Homework
2. Due September
25
^{th}. - Homework
3. Due October
2
^{nd}. - Homework
4. Due October
9
^{th}. - Homework
5. Due October
16
^{th}. - Homework
6. Due October
23
^{th}. - Homework
7. Due October
30
^{th}. - Homework
8. Due November
6
^{th}. - Homework
9. Due November
12
^{th}. - Homework
10. Due November 20
^{th}. - Homework
11. Due December 1
^{st}.

- First midterm exam.
- Second midterm exam.
- Third midterm exam.
- Fourth midterm exam. This is an extra credit, take home exam,
due on Friday, December 5
^{th}at 11pm. It will count as an additional midterm for those who hand it in, provided it raises the grade.

- Vector algebra: the dot product, the cross product, matrices, determinant.
- Functions of several variables: continuity, differentiability, derivatives.
- Parametrized curves: arc length, curvature, torsion.
- Vector fields: gradient, curl, divergence.
- Multiple integrals, change of variables, line integrals, surface integrals.
- Stokes' theorem in one, two, and three dimensions.
- Calculus of variations.

MIT is committed to the principle of equal access. Students who
need disability accommodations are encouraged to speak with
Kathleen Monagle, Associate Dean, prior to or early in the
semester so that accommodation requests can be evaluated and
addressed in a timely fashion. Even if you are not planning to use
accommodations, it is recommended that you meet with Student
Disability Services staff to
familiarize yourself with the services and resources of the
office. You may also consult with Student Disability Services in
5-104 or at 617-253-1674.