Math 21A Exams
EXAM 1 is Wednesday, April 20, 2016. It will cover handouts, lecture notes, and examples from class, homework assignments 1 through 6, discussion sheets 1, 2, and 3, and material from sections 2.1-2.6 in the book which was presented in lecture notes through Wednesday, April 13, 2016. MOST of the exam questions will be homework-type, discussion sheet-type, practice exam-type questions.
TYPES OF QUESTIONS FOR EXAM 1 (THIS IS SUBJECT TO UNANNOUNCED CHANGES.)
- 1 -- Epsilon/Delta Proof
- 6 -- Compute Limits
- 2 -- Continuity
- 1 -- Intermediate Value Theorem Problem (IMVT)
- 1 -- Domain and Range
- 2 -- Other
- 1 -- 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 limit and indeterminate form notation.
- 4.) You may NOT use L'Hopital's Rule to compute limits on this exam.
- 5.) You may NOT use shortcuts from the textbook for finding limits to infinity on this exam.
- 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 1 Practice
and Solutions
Exam 1 Solutions
EXAM 2 is Friday, May 20th, 2016. It will cover handouts, lecture notes, and examples from class, homework assignments 7 through 15, discussion sheets 4-7, and material from sections 3.1-3.10, which was presented in lecture notes through Wednesday, May 11th, 2016. MOST of the exam questions will be homework-type, discussion sheet-type, practice exam-type questions.
TYPES OF QUESTIONS FOR EXAM 2 (THIS IS SUBJECT TO UNANNOUNCED CHANGES.)
- 1 -- Limit Definition of Derivative to take derivative of f(x) = sin(nx) for a constant n
- 5 -- Compute Derivatives
- 1 -- Limit Definition of Derivative
- 1 -- Implicit Differentiation
- 1 -- Gravity
- 2 -- Related Rates
- 1 or 2 -- Other
- 1 or 2 -- 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.) You will be graded on proper use of limit and derivative 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 2 Practice
and Solutions
Exam 2 Solutions
FINAL EXAM is Thursday, June 9, 2016 from 10:30am-12:30pm in Storer 1322 (where class was held). It will cover handouts, lecture notes, and examples from class, homework assignments 1 through 21, discussion sheets 1 through 9, and material from sections 2.1-2.6, 3.1-3.11, and 4.1-4.6 in the book which was presented in lecture. MOST of the exam questions will be homework-type, discussion sheet-type, practice exam-type questions.
TYPES OF QUESTIONS FOR FINAL (THIS IS SUBJECT TO UNANNOUNCED CHANGES.)
- 1 -- Epsilon/Delta Proof
- 3 -- Compute Limits
- 3 -- Compute Derivatives
- 1 -- Related Rates
- 2 -- Applied Optimization
- 2 -- Differential
- 1 -- Continuity
- 1 -- Limit Definition of Derivative
- 1 -- MVT
- 1 -- Find Equation of Tangent or Normal Line
- 1 -- Detailed Graphing
- 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, or classmates may be used as resources for this exam.
- 3.) You will be graded on proper use of limit and derivative notation.
- 4.) You may NOT use shortcuts from the textbook for finding limits to infinity.
- 5.) Put units on answers where units are appropriate.
- 6.) Make sure to include graphs and sketches when it is part of the problem-solving process.
- 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.
Final Practice Exam and Solutions
Thanks to Dr. Kouba for providing many problems and solutions to the practice exams.