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

• 1 -- State the Fundamental Theorem of Calculus
• 4 -- Solve Differential Equations using any method
• 1 -- Derive various partial derivatives
• 1 -- Use implicit differentiation to show equation solves DE
• 1 -- Sphere problem
• 1 -- Sketch surface in 3D-Space using intercepts, traces, or level curves
• 1 -- Mixture Problem
• 1 -- 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.) 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 1 Practice and Solutions

Exam 1 Solutions

EXAM 2 is Friday, May 25, 2012. It will cover handouts, lecture notes, and examples from class, homework assignments 8 through 19, and material from sections 7.4-7.6, 7.8, 7.9, and 10.1-10.3 in the book which was presented in lecture notes through Friday, May 18, 2012. 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 Definition of Partial Derivative/Double Integral
• 2 -- Evaluate double integrals; switch order if necessary
• 1 -- Determine average value of function z=f(x,y)
• 1 -- Find and classify critical points for z=f(x,y)
• 1 -- Use Lagrange multipliers with one/two constraint(s) to determine critical point for max/min
• 2 -- Find nth term of sequence
• 4 -- Use series tests toe determine convergence or divergence of series
• 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 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.) Make sure to state test used to determine convergence or divergence of a series.
• 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



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FINAL EXAM is Tuesday, June 12 2012 from 10:30-12:30pm. It will cover handouts, lecture notes, and examples from class, homework assignments 1 through 25, and material from sections C1-C4 and 7.1-7.6, 7.8-7.9, 10.1-10.6 in the book which was presented in lecture notes through Wednesday, June 6, 2012. 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 Taylor's Theorem along with the Taylor Series for exp(x), sin(x), cos(x), 1/(1-x), and ln(1+x)
• 2 -- Solve Differential Equations using any method
• 1 -- Show equation solves DE
• 1 -- Domain and range problem
• 2 -- Evaluate double integrals; switch order if necessary
• 1 -- Find and classify critical points for z=f(x,y)
• 1 -- Use Lagrange multipliers with one/two constraint(s) to determine critical point for max/min
• 1 -- Find nth term of sequence
• 1 -- Interval and radius of convergence
• 2 -- Find Taylor Series
• 1 -- Taylor polynomial
• 1 -- Newton's method
• 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.) 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.) Make sure to state test used to determine convergence or divergence of a series.
• 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.



Final Practice Exam and Solutions