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

• 1 -- State the In Class Intermediate Value Theorem
• 1 -- Prove a function is or not continuous using definition
• 1 -- Prove a function is or not continuous using epsilon-delta property
• 1 -- Prove a function is or not uniformly continuous using definition
• 1 -- Intermediate Value Theorem problem
• 1 -- Show multiple (up to 3) functions are continuous and/or uniformly continuous using Theorems
• 2 -- 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 limit, sequence, and function notation.
• 5.) You are free to use any theorem in the book without proof.
• 6.) If you use a named theorem in the book, you MUST cite the name when invoking the theorem. Common abbreviations are fine (i.e. IMVT for the Intermediate Value Theorem).


Exam 1 Practice and Solutions


Exam 1 Solutions


---


EXAM 2 is Wednesday, February 26th, 2014. It will cover handouts, lecture notes, and examples from class, homework assignments 4 through 9, and material from sections 20, 23-26 and 28, which was presented in lecture notes through Wednesday, February 19th, 2014. 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 -- Prove Theorem 24.3 using the IN CLASS proof
• 1 -- Evaluate a limit (if exists) using the definition
• 1 -- Find the interval of convergence for a power series
• 1 -- Find the pointwise limit (if exists) of a sequence of functions
• 1 -- Prove a sequence of functions is uniformly convergent using definition
• 1 -- Prove a sequence of functions is not uniformly convergent using definition
• 1 -- Prove a series of functions is or not uniformly convergent
• 1 -- Use definition of derivative to prove one of the following rules: Power Rule where power is a natural number, Constant Multiple Rule, Sum Rule, Product Rule, Quotient Rule, or Chain Rule
• 2 -- Others
• 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, 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 limit, sequence, series, derivative, and function notation.
• 5.) You are free to use any theorem in the book without proof.
• 6.) If you use a named theorem in the book, you MUST cite the name when invoking the theorem. Common abbreviations are fine (i.e. IMVT for the Intermediate Value Theorem).


Exam 2 Practice and Solutions


Exam 2 Solutions


---


FINAL EXAM is Saturday, March 22nd, 2014 from 8-10am and will be in Olson 223 (where lectures were held). It will cover handouts, lecture notes, and examples from class, homework assignments 1 through 13, and material from sections 17-26, 28-29, and 31, which was presented in lecture notes through Friday, March 14th, 2014. 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 -- Prove Theorem 21.4 (ii) using the IN CLASS proof
• 1 -- Prove a function is or not continuous using definition
• 1 -- Prove a function is or not continuous (or uniformly continuous) using epsilon-delta property
• 1 -- Show multiple (up to 3) functions are continuous and/or uniformly continuous using Theorems
• 1 -- Compute the derivative of a function (if exists) using the definition
• 1 -- Prove a sequence of functions is or not uniformly convergent using definition
• 1 -- Mean Value Theorem Problem
• 1 -- Construct a Taylor's Series
• 1 -- Prove a function is continuous or uniformly continuous on a general metric space
• 1 -- Prove a set is or not connected
• 3 -- Others
• 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 limit, sequence, series, derivative, and function notation.
• 5.) You are free to use any theorem in the book without proof.
• 6.) If you use a named theorem in the book, you MUST cite the name when invoking the theorem. Common abbreviations are fine (i.e. IMVT for the Intermediate Value Theorem).


Final Practice and Solutions