Contact Information for the Instructor:
Instructor: Willard Miller
Office: Vincent
Hall 513
Office Hours:
11:15-12:05 M, 1:25-2:15 W, 9:05-9:55 F, or by appointment
Phone: 612-624-7379
miller@ima.umn.edu,
miller@math.umn.edu
www.ima.umn.edu/~miller/
Discussion Sections:
-011, 08:00 A.M. - 08:50 A.M.,
Tu, FordH 150, 08:00 A.M. - 09:55 A.M., Th, FordH 127,
Jose Orozco-Rodriguez,
(612) 624-0284, VinH 524, oroz0006@math.umn.edu
Office hours: 08:00 - 08:50 A.M.,
12:20 P.M. - 1:10 P.M. M, 09:05 - 09:55 A.M. Tu., 12:20
P.M. - 1:10 P.M. F
-012, 10:10 A.M. - 11:00 A.M.,
Tu, VinH 1, 10:10 A.M. - 12:05 P.M., Th, VinH 1,
Jose Orozco-Rodriguez,
612) 624-0284, VinH 524, oroz0006@math.umn.edu
Office hours: 08:00 - 08:50
A.M., 12:20 P.M. - 1:10 P.M. M, 09:05 - 09:55 A.M. Tu.,
12:20 P.M. - 1:10 P.M. F
-013, 12:20 P.M. - 01:10
P.M., Tu, VinH 1, 12:20 P.M. - 02:15 P.M., Th, VinH 1,
Ivan Merev, (612)
624-9099, VinH 506, merev001@math.umn.edu
Office hours: 01:00 P.M.
- 02:30 P.M. M,W 11:00 A.M. - Noon Th.
-014, 01:25 P.M. - 02:15 P.M.,
Tu, VinH 211, 01:25 P.M. - 03:20 P.M., Th, VinH 211,
Jonathan Whitehouse, (612)
624-3339, VinH 556, whitehou@math.umn.edu
Office hours: 03:45
P.M. - 04:35 P.M. M, 03:45 P.M. - 04:35 P.M. F.
-015, 02:30 P.M. - 03:20 P.M.,
Tu, VinH 207, 02:30 P.M. - 04:25 P.M., Th, VinH 207,
Ivan Merev, (612) 624-9099,
VinH 506, merev001@math.umn.edu
Office hours: 01:00 P.M.
- 02:30 P.M. M,W 11:00 A.M. - Noon Th.
Handout: 6981 Special Problems
Handout: 6983 Special Problems
Practice
Gateway Exam (with solutions)
Booklet: Infinite Series and Taylor Polynomials
1. Cover page, Updated
homework assignments, Limits of sequences, Finite arithmetic and geometric
series
2. Definition of
infinite series, Comparison test
3. Alternating series
4. Ratio test, Power
series, Taylor series
5. Taylor polynomials,
Manipulating power series
6 Review Sheets for
the Final Exam (with 12 pages of brief solutions by Chester
Miracle and 28 pages of more detailed solutions by Tyler Whitehouse)
FINAL EXAM: 1:30 - 4:30
pm Thursday, December 15, SMITH HALL 100
"All students must have their official
University I.D. Card with them at the time of the final
exam and must show it to one of the proctors when
handing in their exam. The proctor will
NOT accept a final exam from a student without an I.D. Card."
Some examples:
Spreadsheet implementations
of Euler's method (with an example showing
that roundoff error becomes significant when stepsize is
too small)
Graphs of
some Taylor polynomial approximations of sin(x), -4 < x
< 4. Note that the Taylor polynomial T_19(x) is
such a good approximation that the graphs can't be distinguished
in the interval -4 < x < 4.