Department of Mathematical Sciences
Instructor:  Markus Schmidmeier
Spring 2017

### Calculus III ---  Homework assignments

All problem numbers refer to our textbook by Briggs, Cochran and Gillett.

Extra credit problems will be assigned later, in green. Please note:
• Use a computer algebra system like Maple or Sage that can deal with symbolic computations.
• Insert comments on your worksheet to make make it readable for someone who is not an expert!
• Don't forget to include your name.
• Please submit the final version in printed form and send me an e-mail with the worksheet.
• There will be two or three extra credit assignments (the two best count); each is worth from -2 points (no solution) up to 6 points (perfect solution), the points count towards the quiz grade.
Textbook
Sections

Problems

due

11.1+2: Vectors, vector operations 11.1/ 22, 23, 36, 38, 40, 44, 48, 51, 55; 11.2/ 10, 24, 28, 32, 42, 48, 52. Thursday, January 12
11.3+5: Dot products and vector valued functions 11.3/ 12, 14, 16, 20, 26, 30, 47, 58, 62; 11.5/ 6, 10, 12, 14, 20, 32, 58, 60, 67. Thursday, January 19
11.4+6: Vector products, derivatives and integrals 11.4/ 10, 14, 18, 22, 26; 11.6/ 12, 22, 24, 32, 34, 36, 50, 54, 64, 68. Thursday, January 26
11.7-9: Motion in space 11.7/ 32, 38, 48; 11.8/ 12, 24; 11.9/ 22, 26, 28, 36, 53, 68, 72, 74. Thursday, February 2
Extra Credit 11.9 11.9/ 81 and Review 47. To be done on a computer algebra system. Thursday, February 16
11.9, 12.2, 12.3: Motion in space, several variables 11.9/ 40, 66, 74. 12.2/ 29, 31, 32, 38. 12.3/ 22, 28, 34. 12.4/ 16, 32, 40, 48. Thursday, February 9
12.4, 12.5, 12.6: Partial derivatives 12.4/ 36, 56, 60-63, 64; 12.5/ 10, 12, 18, 20, 22; 12.6/ 12, 14, 18, 22, 28. Thursday, February 16
12.1, 12.7: Tangent planes 12.1/ 12, 18, 24, 28, 32, 36; 12.6/ 40, 46; 12.7/ 12, 20, 26, 28, 36, 58; also, using the table above Problem 12.4/ 60, find the linear approximation for f at (2.2,3.2) and estimate f(2.21,3.23). Thursday, February 23
12.8, 12.9: Minimum and maximum problems 12.8/ 8, 16, 22, 24, 36, 38, 44, 48; 12.9/ 6, 8, 26, 28. Thursday, February 30
13.1, 13.2: Double integrals 13.1/ 18, 20, 22, 26, 28, 32; 13.2/ 8, 10, 24, 28, 48, 50, 54, 58, 64, 71; 12.8/ 47, 12.9/ 31. Thursday, March 16
Extra Credit 12.8 12.8/ 79 and 80. To be done on a computer algebra system. Thursday, March 30
13.3, 13.4: Polar coordinates, triple integrals 13.3/ 14, 16, 24, 30, 32, 34, 41, 46; 13.4/ 10, 14, 18, 20. Thursday, March 23
13.5, 13.6: Cylindrical and spherical coordinates, mass. 13.5/ 16, 20, 24, 30; 36, 40, 44, 48; 13.6/ 10, 16, 24, 28, 34 Thursday, March 30
13.6, 14.1: Mass (review), vector fields. 13.6/ 10, 16, 24, 28, 34; 14.1/ 8, 11, 16, 26, 30, 38. Thursday, April 6
Extra Credit 13.6 13.6/ 63, 65. To be done on a computer algebra system. Thursday, April 13