MATH 2650 – Calculus 3 for Engineering
Homework problems, Fall 2018

Problems are from the assigned textbook: James Stewart, Multivariable Calculus, 8th Edition, Cengage Learning, 2016.

The following is a minimal set of problems you should be able to solve by the end of the course. Additional practice (e.g. review after each chapter) is up to your discretion.

Date AssignedTopic

Problems




Sept 14 graphing

14.1; #9, 11, 24, 27, 32, 36, 45, 47, 49

partial derivatives

14.3; #15, 23, 27, 37, 47, 53

linear approximation

14.4; #17, 21




Sept 21 quiz #1



Sept 21 chain rules

14.5; #3, 5, 7, 17, 21, 39, 40

gradient vector

14.6; #7, 9, 19, 21, 23, 31, 33




Sept 28 quiz #2



Sept 28 max & min values

14.7; #5, 7, 9, 17, 19, 42, 43

Lagrange multipliers

14.8; #3, 5, 9, 17, 19, 33, 44




Oct 5 homework assignment due



Oct 5 vector functions

13.1; #21-26, 31

calculus of vector functions

13.2; #3, 5, 17, 19

arc length & curvature

13.3; #1, 3, 11, 17, 19




Oct 12 quiz #4



Oct 17 midterm exam #1



Oct 23 double integrals over rectangles

15.1; #15, 17, 23, 31, 33

double integrals

15.2; #3, 7, 9, 13, 51, 53




Oct 31 quiz #5



Oct 31 polar coordinates

15.3; #7, 9, 11, 13, 19, 21, 29, 37

applications of double integrals

15.4; #3, 5, 7

triple integrals

15.6; #3, 5




Nov 7 quiz #6



Nov 21 midterm exam #2



Nov 23 triple integrals

15.6; #9, 15, 19

cylindrical coordinates

15.7; #17, 19, 21, 29

spherical coordinates

15.8; #21, 23, 25, 35, 36

change of variables

15.9; #15, 16, 17




Nov 30 vector fields

16.1







?? FINAL EXAM



December 7, 2018