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 Assigned  Topic  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; #2126, 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