Contact Information for the Instructor:
Instructor: Willard Miller
Office: Vincent
Hall 513
Office Hours:
10:10-11:00 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:
-014, 01:25 P.M. - 02:15 P.M.,
Tu, VinH 1, 01:25 P.M. - 03:20 P.M., Th, BuH 120,
Jerald TerEick , 624-7073, Vincent Hall 509, tereick@math.umn.edu
Office hours: 9:00-11:30 W
-017, 09:05 A.M. - 09:55 A.M.,
Tu, VinH 209, 09:05 A.M. - 11:00 A.M., Th, 1701 Univ 143,
Jerald TerEick , 624-7073, Vincent Hall 509, tereick@math.umn.edu
Office hours: 9:00-11:30 W
Brief Course Description:
Information about Course Management and Homework Assignments
Practice Gateway Exam (with solutions)
FIRST MIDTERM: THURSDAY, OCTOBER 4, NICHOLSON 275.
You may start
the exam either at 5:00 PM or 6:00 PM. Students who come
at 5 must remain
in their seats and be quiet until 6 even
if they have finished the exam. The exam is 60
minutes long. Students who start at 6 may leave when they are finished.
SECOND MIDTERM: THURSDAY, NOVEMBER 1, NICHOLSON 275.
You may start
the exam either at 5:00 PM or 6:00 PM. Students who come
at 5 must remain
in their seats and be quiet until 6 even
if they have finished the exam. The exam is 60
minutes long. Students who start at 6 may leave when they are finished.
THIRD MIDTERM: THURSDAY, DECEMBER 6, NICHOLSON 275.
You may start
the exam either at 5:00 PM or 6:00 PM. Students who come
at 5 must remain
in their seats and be quiet until 6 even
if they have finished the exam. The exam is 60
minutes long. Students who start at 6 may leave when they are finished.
Booklet: Vectors in the Plane (old 2005 version)
Booklet: Infinite Series and Taylor Polynomials (old 2005 version)
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
FINAL EXAM: 1:30 - 4:30 PM FRIDAY, DECEMBER 14, ANDERSON HALL 370
"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.