Math 21B Exams
EXAM 1 is Friday, April 26, 2013. It will cover handouts, lecture notes, and examples from class, homework assignments 1 through 8, discussion sheets 1 through 4, and material from sections 4.8, 5.1-5.6, and 6.1-6.2 in the book which was presented in lecture notes through Friday, April 19, 2013. MOST of the exam questions will be homework-type, discussion sheet-type, and practice exam-type questions.
TYPES OF QUESTIONS FOR EXAM 1 (THIS IS SUBJECT TO UNANNOUNCED CHANGES.)
- 1 -- State the IN CLASS Limit Definition of Integral
- 1 -- Limit Definition of the Definite Integral
- 4 -- Indefinite Integrals
- 2 -- Area Using Definite Integrals
- 4 -- Volume by Disc Method/Shell Method (SETUP ONLY)
- 2 -- Other
- 1 or 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, or classmates may be used as resources for this exam.
- 3.) 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.
- 4.) You will be graded on proper use of derivative and integral notation.
- 5.) Put units on answers where units are appropriate.
- 6.) 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.
Exam 1 Practice
and Solutions
Exam 1 Solutions
EXAM 2 is Friday, May 24, 2013. It will cover handouts, lecture notes, and examples from class, homework assignments 9 through 19, discussion sheets 5 through 8, and material from sections 6.3-6.6, 7.1-7.2, and 8.1-8.4 in the book which was presented in lecture notes through Friday, May 17, 2013. MOST of the exam questions will be homework-type, discussion sheet-type, and practice exam-type questions.
TYPES OF QUESTIONS FOR EXAM 2 (THIS IS SUBJECT TO UNANNOUNCED CHANGES.)
- 1 -- State the IN CLASS Fundamental Theorem of Calculus 0 and 1
- 4 -- Indefinite Integrals Using any Method
- 1 -- Arc Length
- 1 -- Moment, Mass, Centroid (SETUP ONLY)
- 1 -- Work (SETUP ONLY)
- 1 -- Force of Fluid Pressure (SETUP ONLY)
- 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, or classmates may be used as resources for this exam.
- 3.) Make sure to label EVERYTHING of interest in your graphs and sketches. This includes, but is not limited to, labeling curves and surfaces along with regions of integration.
- 4.) You will be graded on proper use of derivative and integral notation.
- 5.) Put units on answers where units are appropriate.
- 6.) 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.
Exam 2 Practice
and Solutions
Exam 2 Solutions
FINAL EXAM is Tuesday, June 11 2013 from 1:00-3:10pm and will be in Wellman 226 (where lectures were held). It will cover handouts, lecture notes, and examples from class, homework assignments 1 through 23, discussion sheets 1 through 10, and material from sections 4.8, 5.1-5.6, 6.1-6.6, 7.1-7.2, 8.1-8.7, and 11.1-11.2 in the book which was presented in lecture. MOST of the exam questions will be homework-type, practice exam-type questions.
TYPES OF QUESTIONS FOR FINAL (THIS IS SUBJECT TO UNANNOUNCED CHANGES.)
- 1 -- State Integral Rules
- 5 -- Indefinite Integrals Using Any Method
- 2 -- Volume of Solid of Revolution (Around x-axis, y-axis, vertical line, or horizontal line)
- 2 -- Find Area of Region (Using dx or dy)
- 1 -- Exponential Growth/Decay
- 2 -- Improper Integral
- 1 -- Trapezoidal or Simposon's Rule
- 1 -- Absolute Error for Trapezoidal, or Simpson's Rule (Note: Error formulas will be provided)
- 1 or 2 -- Parametric Equations -- Parametrize, Graphing, Slope, Concavity, Area, etc.
- 1 -- Force of Fluid Pressure (SETUP ONLY)
- 1 or 2 -- 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, or classmates may be used as resources for this exam.
- 3.) Make sure to label EVERYTHING of interest in your graphs and sketches. This includes, but is not limited to, labeling curves and surfaces along with regions of integration.
- 4.) You will be graded on proper use of limit, derivative, and integral notation.
- 5.) Put units on answers where units are appropriate.
- 6.) 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.
Final Practice Exam
and Solutions
Thanks to Dr. Kouba for providing many problems and solutions to the practice exams.