Math 241, Calculus III

Spring 2015

• Instructor: Ravi Donepudi
• E-mail:
• Office: B1 Coble Hall
• Office Hours: Tuesdays from 4:00-6:00 pm in Altgeld 345 and by appointment.
• Web page: https://faculty.math.illinois.edu/~donepud2/ma241s2015.html

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 (Midterm-I):
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 (Midterm-II):
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 (Midterm-III):
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.