| Instructor: | Chris Wendl |
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| Office: | room 2-172, phone 617-253-4470 |
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| E-mail: | wendlcREMOVETHIS@math.mit.edu (remove "REMOVETHIS" from the address; antispam precautions) |
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| Office hours: |
Tuesdays 2-3pm, Wednesdays 1-2pm.
If you can't come during my official office hours but need help,
feel free to contact me
(the easiest way is by e-mail) and make an appointment.
You may also stop by my office anytime, but be aware that I'm often not
there; it's best to call ahead. |
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| Lectures: | Tuesday /
Thursday 1-2pm and Friday 2-3pm in 2-146 |
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| Recitations: | Monday /
Wednesday 2-3pm, same room and instructor |
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| Texts: |
- Simmons, Calculus with Analytic Geometry, second edition
- 18.01 Supplementary Notes and Problems, available at CopyTech
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| Assignments: |
Weekly problem sets will typically be assigned at least a week in advance
and due on Tuesdays; you can hand them in at lecture or fit them through the
slot in my office door (if they are stapled!) by 11:59pm the same day.
Please note the following:
- Late homework will not be accepted unless
you have exceptional circumstances -- in that case you must talk to me about
it at least a day in advance of the due date, if that is humanly possible.
- Your lowest problem set grade will be dropped in the averaging.
- Assignments due on Tuesday will usually be reviewed in Wednesday's
recitation.
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| Exams: |
There will be two midterms (in lecture) and a final. For each midterm,
students with failing grades will have a chance to take a make-up exam,
worth at most the minimum passing score. There is no make-up for the
final exam.
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| Grading: |
Problem sets (35%)
Two Midterms (20% each)
Final Exam (25%) |
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| Web page: | The class has
a web page at
www-math.mit.edu/18.01/.
There you will find periodically updated announcements, java applets,
some things you can download (e.g. the problem sets),
and an up-to-date copy of this information.
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Tentative Syllabus (revised 5/11/05)
The following is a rough week-by-week guide to what we will be covering and
when, including required reading from Simmons and the notes, and exam dates.
Some topics may be removed due to time constraints, especially toward the
end.
- Week 1 (2/1-2/4): Limits, derivatives, differentiation rules.
Read Notes G and C, 2.1-2.5, 3.1-3.3.
- Week 2 (2/7-2/11): Implicit differentiation, higher order
derivatives, exp/log/trigonometric functions.
Read 3.4-3.6, 8.1-8.2,
8.3 (skip Examples 2 and 3), 8.4 (through Example 1),
Notes X, 9.1, 9.2,
9.4 (through Example 2), 3.4.
- Week 3 (2/14-2/18): Linear approximation, curve sketching,
max-min problems.
Read Notes A, 5.2 (with a grain of salt),
4.1-4.4.
- Week 4 (2/22-2/25): Mean value theorem, L'Hospital's rule.
Read Notes MVT, 2.6, 12.1-12.3.
- Tuesday 3/1: Midterm 1
- Week 5 (3/2-3/4): Indefinite and definite integrals.
Read
5.3, 6.1-6.4.
- Week 6 (3/7-3/11): Fundamental theorem of calculus, properties
of integrals.
Read 6.5-6.7, Notes FT, PI.
- Week 7 (3/14-3/18): Differential equations, separation of
variables, area between curves, volumes of revolution.
Read 5.4, 8.5, 7.1-7.4.
- Week 7.5 (3/21-3/25): Spring break
- Week 8 (3/28-4/1): Trigonometric integrals and substitution,
hyperbolic functions, completing the square, intro to partial fractions.
Read 9.5, 9.7, 10.1-10.6.
- Week 9 (4/4-4/7): Partial fractions, integration by parts.
Read 10.7-10.8, Notes F.
- Friday 4/8: Midterm 2
- Week 10 (4/11-4/15): Parametric equations, arc-length,
surface area, polar coordinates.
Read 7.5-7.6, 17.1, 16.1-16.3.
- Week 11 (4/20-4/22):
Area and arc-length in polar coordinates, average value of a function.
Read 16.4-16.5, Notes AV.
- Week 12 (4/25-4/29): Improper integrals, infinite series.
Read 12.4, 13.1-13.4.
- Week 13 (5/2-5/6): Comparison tests, integral test,
absolute and conditional convergence.
Read 13.5-13.6, 13.8.
- Week 14 (5/9-5/12): Introduction to power series and
Taylor series.
Read 13.7, 14.1-14.4.