TYPES OF QUESTIONS FOR EXAM 1 (THIS IS SUBJECT TO UNANNOUNCED CHANGES.)

• 1 -- Definition of Triple Integral
• 1 -- Describe Flat Region Using Rectangular Coordinate and/or Polar Coordinates
• 1 -- Describe Solid Region Using Rectangular, Cylindrical, or Spherical Coordinates
• 2 -- Evaluate Double/Triple Integrals
• 1 -- SET UP BUT DO NOT EVALUATE Double Integrals in Rectangular, or Polar Coordinates for Mass, Moment, Center of Mass, Centroid, or Moment of Inertia
• 1 -- SET UP BUT DO NOT EVALUATE Triple Integrals in Rectangular, Cylindrical, or Spherical Coordinates for Volume or Average Value
• 1 -- Other
• 2 -- OPTIONAL EXTRA CREDIT

HERE ARE SOME RULES FOR EXAM 1.

• 1.) IT IS A VIOLATION OF THE UNIVERSITY HONOR CODE TO, IN ANY WAY, ASSIST ANOTHER PERSON IN THE COMPLETION OF THIS EXAM. IT IS A VIOLATION OF THE UNIVERSITY HONOR CODE TO COPY ANSWERS FROM ANOTHER STUDENT'S EXAM. PLEASE KEEP YOUR OWN WORK COVERED UP AS MUCH AS POSSIBLE DURING THE EXAM SO THAT OTHERS WILL NOT BE TEMPTED OR DISTRACTED. THANK YOU FOR YOUR COOPERATION.
• 2.) No notes, books, calculator, scratch paper, or classmates may be used as resources for this exam.
• 3.) Read directions to each problem carefully. Show all work for full credit. In most cases, a correct answer with no supporting work will NOT receive full credit. What you write down and how you write it are the most important means of your getting a good score on this exam. Neatness and organization are also important.
• 4.) You will be graded on proper use of integral and derivative notation.
• 5.) Make sure to include graphs and sketches when it is part of problem-solving process.
• 6.) Make sure to label EVERYTHING of interest in your graphs and sketches. This includes, but is not limited to, labeling curves along with regions of integration.


Exam 1 Practice and Solutions


Exam 1 Solutions

TYPES OF QUESTIONS FOR EXAM 2 (THIS IS SUBJECT TO UNANNOUNCED CHANGES.)

• 1 -- State and Prove the Fundamental Theorem of Line Integrals (FTOLI)
• 1 -- Position vector, velocity vector, acceleration vector, unit tangent vector, unit normal vector, curvature, and speed problems
• 1 or 2 -- Arc Length
• 1 -- Line Integral
• 1 -- Work, Flow, Flux, or Circulation
• 1 -- Conservative Vector Field, Path Independence Problems
• 1 -- Green's Theorem Problem
• 1 -- Other
• 1 -- OPTIONAL EXTRA CREDIT

HERE ARE SOME RULES FOR EXAM 2.

• 1.) IT IS A VIOLATION OF THE UNIVERSITY HONOR CODE TO, IN ANY WAY, ASSIST ANOTHER PERSON IN THE COMPLETION OF THIS EXAM. IT IS A VIOLATION OF THE UNIVERSITY HONOR CODE TO COPY ANSWERS FROM ANOTHER STUDENT'S EXAM. PLEASE KEEP YOUR OWN WORK COVERED UP AS MUCH AS POSSIBLE DURING THE EXAM SO THAT OTHERS WILL NOT BE TEMPTED OR DISTRACTED. THANK YOU FOR YOUR COOPERATION.
• 2.) No notes, books, calculator, scratch paper, or classmates may be used as resources for this exam.
• 3.) Read directions to each problem carefully. Show all work for full credit. In most cases, a correct answer with no supporting work will NOT receive full credit. What you write down and how you write it are the most important means of your getting a good score on this exam. Neatness and organization are also important.
• 4.) You will be graded on proper use of integral and derivative notation.
• 5.) Make sure to include graphs and sketches when it is part of problem-solving process.
• 6.) Make sure to label EVERYTHING of interest in your graphs and sketches. This includes, but is not limited to, labeling curves along with regions of integration.
• 7.) For any named theorem introduced in this class, you must reference the theorem by its name upon use (common abbreviations are fine).



Exam 2 Practice and Solutions



Exam 2 Solutions

TYPES OF QUESTIONS FOR FINAL (THIS IS SUBJECT TO UNANNOUNCED CHANGES.)

• 1 -- Class Challenge
• 1 -- Double Integral (Rectangular or Polar Coordinates)
• 1 -- Triple Integral (Rectangular, Cylindrical, or Spherical Coordinates)
• 1 -- Line Integral
• 1 -- Parameterization
• 1 -- Surface Integral
• 1 -- Green's Theorem Problem
• 1 -- Stokes' Theorem Problem
• 1 -- Divergence Theorem Problem
• 3 -- Other
• 2 -- OPTIONAL EXTRA CREDIT

HERE ARE SOME RULES FOR FINAL.

• 1.) IT IS A VIOLATION OF THE UNIVERSITY HONOR CODE TO, IN ANY WAY, ASSIST ANOTHER PERSON IN THE COMPLETION OF THIS EXAM. IT IS A VIOLATION OF THE UNIVERSITY HONOR CODE TO COPY ANSWERS FROM ANOTHER STUDENT'S EXAM. PLEASE KEEP YOUR OWN WORK COVERED UP AS MUCH AS POSSIBLE DURING THE EXAM SO THAT OTHERS WILL NOT BE TEMPTED OR DISTRACTED. THANK YOU FOR YOUR COOPERATION.
• 2.) No notes, books, calculator, scratch paper, or classmates may be used as resources for this exam.
• 3.) Read directions to each problem carefully. Show all work for full credit. In most cases, a correct answer with no supporting work will NOT receive full credit. What you write down and how you write it are the most important means of your getting a good score on this exam. Neatness and organization are also important.
• 4.) You will be graded on proper use of integral and derivative notation.
• 5.) Make sure to include graphs and sketches when it is part of problem-solving process.
• 6.) Make sure to label EVERYTHING of interest in your graphs and sketches. This includes, but is not limited to, labeling curves along with regions of integration.
• 7.) For any named theorem introduced in this class, you must reference the theorem by its name upon use (common abbreviations are fine).


Final Practice and Solutions

Thanks to Dr. Kouba for providing many problems and solutions to the practice exams.