Get to Know IndianaQuickTime™ and a TIFF Uncompressed decompressor are needed to see this picture... Get to Know IndianaQuickTime™ and a TIFF Uncompressed decompressor are needed to see
Trang 1Math 1b Calculus, Series, and Differential Equations
Harvard University
Fall 2005
http://my.harvard.edu/course/math1b
Trang 4Get to Know Indiana
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Trang 5Get to Know Indiana
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Trang 6Get to Know Indiana
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Trang 7Get to Know Indiana
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Trang 8Get to Know Indiana
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Trang 9Faculty members or Teaching Fellows
in mathematics
Majority of instruction takes place in
section, three hours/week
All sections cover same topics and
have the same workload
Other teaching staff
Trang 10Choose your section by computer:
MWF9, 10, 11, 12, 10, 11:30
Trang 11Choose your section by computer:
With sufficient enrollment
To section from a UNIX prompt:
More information on flyer and at
http://math.harvard.edu/sectioning/
Trang 12Problems you will be able to
solve after this course
Trang 13Hatsumon – Volume
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Trang 14Hatsumon – Microbiology
A population of bacteria reproduces asexually How can you predict the growth of the population over time?
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Trang 15Hatsumon – Fluid Dynamics
near the bottom of
a tank
take for the tank to
drain?
Trang 16Hatsumon – Organismal Bio
the owl population when the mouse population is halved
by starvation?
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Trang 17are needed to see this picture.
Trang 18QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.
All of these problems (and
many more) can be solved with
Calculus!
“Over three centuries of constant
use have not completely dulled this incomparable instrument.”—
Trang 19Course Topics
Trang 20Techniques and Applications
of Integration
the area under a curve
concepts besides area:
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Trang 21Differential Equations
respect to other quantities (for instance,
Trang 23Course Expectations
Trang 24Pre-class Reading
Assignments
Reading assignments
the night before class
Go to course web site
to answer questions
Your teaching fellow
will use this
information to prepare
Trang 25due the next
Please keep up
worth in
computation of final
grade
Trang 27Breakdown of your course
Trang 28will also be
Trang 31Prerequisites
Trang 32Logical Prerequisite: Calculus
Trang 34For those who have taken
AP Calculus BC
Math 1a and 1b together cover the Calculus BC syllabus
Math 1b does more than what’s on the BC, with different emphasis
You will still find lots to
Trang 35For those who have taken
AP Calculus AB
Some of your
classmates will have
seen some of this
material before
We are committed to
supporting all qualified
students
Trang 37Math Warm-Up Series
Brush-up on some precalculus topics
(trig, logs, algebra)
Advice on study skills and course
selection
Trang 38Other Activities
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Trang 39Other Activities
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Trang 40First Assignments
Read Section 5.1 and 5.2 of the text
Select a section by computer
answer questions online (to appear
later this week)