Syllabus for Calculus Section 3
Interphase Edge 2015
Lecture: MWF 10:40–12:10 in 36-156
Instructor: Samuel Watson, sswatson@mit.edu, Sunday 7 PM to 9 PM at Maseeh
Course Assistants: Attilio Castano (aecm93@mit.edu) and Jose Lara (jlara@mit.edu).
Workshop time: TTh 14:50–16:00. Workshop 3E is in 24-115 & Workshop 3F is in 24-121
Text: Edwards & Penney “Multivariable Calculus” 6e
Course content: This course will aim to cover the key ideas from chapters 12, 13, and
14 of E&P. This is a subset of the syllabus for course 18.02 (Multivariable Calculus). The
schedule of lectures, which is subject to change, can be found on the next page. If time
allows, we may also cover line and surface integrals, Green’s theorem, the divergence
theorem, and Stokes’ theorem.
Problem Sets: There will be five problem sets to be collected at the beginning of Lecture
on Monday. Students are encouraged to work with others, but each student must write
up his or her own solutions. Students must list the names of all collaborators on the front
page of the problem set.
Exams: There will be one midterm on Friday July 17 and a final on Thursday August 6.
The midterm will occur during the lecture period.
Grading:
35% Problem Sets
15% Class/Workshop Participation
20% Midterm
30% Final
Course Schedule (tentative)
M
29 June
1. Taylor Series, Integration by parts, Partial fractions, Integration by Partial Fractions
W
1 July
2. Integration by trigonometric substitution, dot product, cross
product, triple scalar product.
M
6 July
3. Matrix multiplication, Determinants of matrices, lines and
planes in space
W
8 July
4. Motion in space
F
10 July
5. Quadratic surfaces, cylindrical and spherical coordinates
M
13 July
6. Functions of multiple variables, limits and continuity
W
15 July
Midterm review
F
17 July
MIDTERM (covering lectures 1-6)
M
20 Jul
7. Partial derivatives, Multivariable optimization, increments &
linear approximation
W
22 July
8. Multivariable chain rule, directional derivatives and the gradient vector
F
24 July
9. Lagrange multipliers, Critical points of functions with two
variables
M
27 July
10. Intro to integration, Antiderivatives, Differential equations,
Separation of variables
W
29 July
11. Double integrals, Area and volume by double integration
F
31 July
12. Double integrals in polar coordinates, Applications
M
3 August
13. Triple integrals, Integration in cylindrical and spherical coordinates
W
5 August
14. Surface Area, Change of variables, Course review
Th
6 August
FINAL EXAM (covering lectures 1-14)