Math 1372, IT Calculus II, Lecture 020, Fall 2007

Physics 170, 9:05-9:55 am Monday, Wednesday

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

-016, 03:35 P.M. - 04:25 P.M., Tu, VinH 1, 03:35 P.M. - 05:30 P.M., Th, 1701 Univ 207,
David Barta, Lind Hall 110A, bart0647@umn.edu,
Office hours: 11:15-12:05, 1:25-2:15 M

-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

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 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:

Direction fields

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.


Curvature
A derivation and interpretation of the formula for curvature


Absolute convergence implies convergence