Math 1372, IT Calculus II, Lecture 010, Fall 2005

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.

Brief Course Description:

• This is the second semester of a two semester course in one-variable calculus pitched to budding engineers.
• Textbook: Calculus, 5th edition, by James Stewart.
•  We will cover the following material :
• 1. Techniques and Applications of Integration
• 2. Differential Equations
• 3. Parametric Equations and Polar Coordinates
• 4. Infinite Sequences and Series
• 5. Integrals
• 6. Vectors and the Geometry of Space

Homework Assignments    

Handout: 6981 Special Problems   

Handout: 6983 Special Problems   

Booklet: Vectors in the Plane 

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

Project: The Population Lab

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:

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.