Math 16B Exams
EXAM 1 is Friday, April 24, 2015. It will cover handouts, lecture notes, and examples from class, homework assignments 1 through 9, and material from sections 4.1-4.6, 5.1-5.2, and 8.5 in the book which was presented in lecture notes through Friday, April 17, 2015. MOST of the exam questions will be homework-type, and practice exam-type questions.
TYPES OF QUESTIONS FOR EXAM 1 (THIS IS SUBJECT TO UNANNOUNCED CHANGES.)
- 1 -- State the IN CLASS Fundamental Theorem of Calculus 0
- 4 -- Antiderivatives
- 1 -- Implicit Differentiation
- 1 -- Find Equation of Tangent or Perpendicular Line
- 1 -- Discrete or Continuous Compounding of Interest
- 1 -- Exponential Growth/Decay
- 1 -- Extrema/Inflection Point Problem
- 2 or 3 -- 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.) You will be graded on proper use of derivative and integral notation.
- 4.) Make sure to include graphs and sketches when it is part of the problem-solving process.
- 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 15, 2015. It will cover handouts, lecture notes, and examples from class, homework assignments 10 through 17, and material from sections 5.3-5.7, and 6.1-6.2 in the book which was presented in lecture notes through Friday, May 8, 2015. MOST of the exam questions will be homework-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 1
- 5 -- Indefinite Integrals (Using any Method: formulas, trig identities, standard u-substitution, u-substitution with a back substitute, power u-substitution, and integration by parts (one time only for this exam))
- 1 -- Midpoint or Trapezoidal Estimate
- 2 -- Area of Region (Using dx or dy)
- 1 -- Average Value of Function on Interval [a, b]
- 2 -- Volume of Solid of Revolution (Around x-axis, y-axis, or any vertical or horizontal line)
- 1 or 2 -- 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 include graphs and sketches when it is part of the problem-solving process.
- 4.) 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.
- 5.) You will be graded on proper use of derivative and integral notation.
- 6.) Put units on answers where units are appropriate.
- 7.) 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 Wednesday, June 10 2015 from 6:00-8:00pm and will be in Olsen 158 (where lectures were held). It will cover handouts, lecture notes, and examples from class, homework assignments 1 through 25, and material from sections 4.1-4.6, 5.1-5.7, 6.1-6.6, 8.5, and 9.1-9.3 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
- 7 -- 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 -- Continuous or Discrete Compound Interest
- 1 -- Improper Integral
- 1 -- Absolute Error for Trapezoidal, or Simpson's Rule (Note: Error formulas will be provided)
- 1 -- Exponential Growth/Decay
- 1 -- Probability Density Function (Mean, Median, Variance, Standard Deviation, Probability)
- 1 -- Discrete Probability
- 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 include graphs and sketches when it is part of the problem-solving process.
- 4.) 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.
- 5.) You will be graded on proper use of limit, derivative, and integral notation.
- 6.) You need NOT MEMORIZE trigonometry identities (Pre-calculus ones). A short list of identities will be provided on the front cover of the exam.
- 7.) Put units on answers where units are appropriate.
- 8.) 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.