Math 241, Calculus III
Spring 2015
Worksheets and Solutions
 Jan 20

Worksheet 1.
Solutions. Review of parts of Calc I and II.
 Jan 22

Worksheet 2.
Solutions. Parametric curves via vector arithmetic.
 Jan 27

Worksheet 3.
Solutions. Projections, distances, and planes.
 Jan 29

The story so far and Quiz 1.
 Feb 3

Practice problems handout and Quiz 2. Solutions.
For visualizations of surfaces, try
this.
Here are two examples: f(x,y)=x^2+y^2 , f(x,y)=sin(xy)
 Feb 5

Worksheet 4.
Solutions. Functions of several variables; Limits.
 Feb 10

Worksheet 5.
Solutions. Partial derivatives and differentiability.
 Feb 12

Practice midterm from class and Review
Solutions to practice midterm.
Practice midterms (MidtermI):
2014a (With solutions)
2014b (With solutions)
2013 . Solutions
2012 . Solutions
2011 . Solutions
2010 . Solutions
 Feb 24

Worksheet 6.
Solutions. Taylor series, the second derivative test, and changing coordinates.
 Feb 26

Worksheet 7.
Solutions. Constrained min/max via Lagrange multipliers.
Practice midterms (MidtermII):
2013 . Solutions
2012 . Solutions
2011 . Solutions
2010 . Solutions
 March 5

Worksheet 8. Solutions. Curves and integration.
 March 10

Worksheet 9. Solutions. Integrating vector fields.
 March 19

Worksheet 10. Solutions. Multivariable integrals.
 March 31

Worksheet 11. Solutions. Transformations of the plane.
 April 2

Quiz
 April 7

Worksheet 12. Solutions. Integrating by changing coordinates.
 April 9

Quiz

Practice midterms (MidtermIII):
2014 . (With Solutions)
2013 . Solutions
2012 . Solutions
2011 . Solutions
2010 . Solutions
 April 14

Worksheet 13. Solutions. Surface Parameterization.
 April 16

Worksheet 14. Solutions. Parametrizations and integrals.