Math 21C
ESP WORKSHEETS AND SOLUTIONS,
DISCUSSION SHEETS,
QUIZZES,
AND SUPPLEMENTARY CLASS HANDOUTS

Last Update: May 11, 2005
Site designed and maintained by D. A. Kouba
kouba@math.ucdavis.edu

PLEASE E-MAIL ME IF YOU FIND ANY ERRORS OR OMISSIONS IN THESE WORKSHEETS AND SOLUTIONS. THANK YOU.

• QUIZZES
  
  
  • ###### .... ESP QUIZ 1 .... ######
  • ###### .... ESP QUIZ 2 .... ######
  • ###### .... ESP QUIZ 3 .... ######
  • ###### .... ESP QUIZ 4 .... ######
  • ###### .... ESP QUIZ 5 .... ######
  • ###### .... ESP QUIZ 6 .... ######
  • ###### .... ESP QUIZ 7 .... ######
  • ###### .... ESP QUIZ 8 .... ######
  • ###### .... ESP QUIZ 9 .... ######
  • ###### .... ESP QUIZ 10 .... ######

• REGULAR DISCUSSION SHEETS
  
  
  • Discussion Sheet 1 ,
  • Discussion Sheet 2 ,
  • Discussion Sheet 3 ,
  • Discussion Sheet 4 ,
  • Discussion Sheet 5 ,
  • Discussion Sheet 6 ,
  • Discussion Sheet 7 ,
  • Discussion Sheet 8 ,
  • Discussion Sheet 9 ,
  • Discussion Sheet 10 ,
  • Discussion Sheet 11

• MORE CHALLENGING DISCUSSION SHEETS
  
  
  • Sheet 1 ,
  • Sheet 2 ,
  • Sheet 3 ,
  • Sheet 4 ,
  • Sheet 5 ,
  • Sheet 6 ,
  • Sheet 7 ,
  • Sheet 8 ,
  • Practice Sequence and Series Problems
  • Optional Power Series Problems

• SUPPLEMENTARY CLASS HANDOUTS
  
  
  • ..... A List of Basic Derivative Formulas From Math 21A .....
    
    
    
  • ..... A List of Basic Integration Methods from Math 21B .....
    
    
    
  • ..... A List of Basic Trig Integrals and Identities from Math 21B .....
    
    
    
  • ..... Determining Equation for Surface of Revolution .....
    
    
    
  • ..... Precice Epsilon Delta Definition of Limit in 3D-Space .....
    
    
    
  • ..... A Geometric Interpretation of Partial Derivatives .....
    
    
    
  • ..... Exact Change, Differential , and Chain Rule
    
    
    
  • ..... Finding the Second Partial Derivative Using the Chain Rule .....
    
    
    
  • ..... The Second Derivative Test for Partial Derivatives to Find and Classify Critical Points.....
    
    
    
  • ..... Integrating a Function of Two Variables Over a Region R in the Plane .....
    
    
    
  • ..... Evaluating a Double Integral Using Rectangular Coordinates .....
    
    
    
  • ..... Moments and Center of Mass .....
    
    
    
  • ..... Applications of Double Integrals .....
    
    
    
  • ..... Evaluating a Double Integral Using Polar Coordinates .....
    
    
    
  • ..... Evaluating a Triple Integral Using Rectangular Coordinates .....
    
    
    
  • ..... Applications of Triple Integrals .....
    
    
    
  • ..... An Example (Moment of Inertia) of a Triple Integral Using Rectangular Coordinates .....
    
    
    
  • ..... The Differential of Volume for Spherical Coordinates .....
    
    
    
  • ..... A Brief Summary of Multiple Integration and Coordinate Systems .....
    
    
    
  • ..... The Definition of an Infinite Series Using the Sequence of Partial Sums Test .....
    
    
    
  • ..... The Geometric Series Test for Infinite Series .....
    
    
    
  • ..... The Integral Test for Infinite Series and Problems Using (*) and (*)(*) from the Integral Test Handout and Solutions .....
    
    
    
  • ..... Subtle and Important Facts About Infinite Series .....
    
    
    
  • ..... The Comparison and Limit Comparison Tests for Infinite Series .....
    
    
    
  • ..... The Ratio Test for Infinite Series .....
    
    
    
  • ..... The Alternating Series Test for Infinite Series .....
    
    
    
  • ..... The Absolute Convergence Test for Infinite Series .....
    
    
    
  • ..... A List of Tests for Convergence/Divergence of Infinte Series .....
    
    
    
  • ..... Taylor Series and Taylor Polynomials .....
    
    
    
  • ..... Examples of Maclaurin Series .....
    
    
    
  • ..... An Example Using the Lagrange Form of the Taylor Remainder .....
    
    
    
  • ..... A Introduction to Complex Numbers .....
    
    
    
  • ..... Complex Numbers and Taylor Series .....

• WORKSHEETS AND SOLUTIONS
  
  
  • ..... ESP Worksheet 1
    
    
    • ..... ESP Worksheet 1 Solutions
    
    
    
  • ..... ESP Worksheet 2
    
    
    • ..... ESP Worksheet 2 Solutions
    
    
    
  • ..... ESP Worksheet 3
    
    
    • ..... ESP Worksheet 3 Solutions
    
    
    
  • ..... ESP Worksheet 4
    
    
    • ..... ESP Worksheet 4 Solutions
    
    
    
  • ..... ESP Worksheet 5
    
    
    • ..... ESP Worksheet 5 Solutions
    
    
    
  • ..... ESP Worksheet 6
    
    
    • ..... ESP Worksheet 6 Solutions
    
    
    
  • ..... ESP Worksheet 7
    
    
    • ..... ESP Worksheet 7 Solutions
    
    
    
  • ..... ESP Worksheet 8
    
    
    • ..... ESP Worksheet 8 Solutions
    
    
    
  • ..... ESP Worksheet 9
    
    
    • ..... ESP Worksheet 9 Solutions
    
    
    
  • ..... ESP Worksheet 10
    
    
    • ..... ESP Worksheet 10 Solutions
    
    
    
  • ..... ESP Worksheet 11
    
    
    • ..... ESP Worksheet 11 Solutions
    
    
    
  • ..... ESP Worksheet 12
    
    
    • ..... ESP Worksheet 12 Solutions
    
    
    
  • ..... Previous Departmental Final Exams WITHOUT SOLUTIONS