Math 21C Exams
EXAM 1 is Wednesday, April 24, 2013. It will cover handouts, lecture notes, and examples from class, homework assignments 1 through 7, discussion sheets 1 through 3, and material from sections 10.1-10.7 in the book which was presented in lecture notes through Wednesday, April 17, 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 IN CLASS Definition of Series, Partial Sum, and Remainder
- 7 -- Determine convergence or divergence of series using various series tests (At least 2 with Hints)
- 1 -- Find interval of convergence for power series
- 1 -- (*) or (*)(*) problem (The (*) and (*)(*) formulas will be provided)
- 1 -- 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 limits, sequence, and series notation.
- 4.) Put units on answers where units are appropriate.
- 5.) 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 Wednesday, May 22, 2013. It will cover handouts, lecture notes, and examples from class, homework assignments 8 through 19 (EXCLUDING 10), and material from sections 10.8-10.9, 12.1-12.6, and 14.1-14.4 in the book which was presented in lecture notes through Friday, May 17, 2013. 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 -- Provide the IN CLASS Proof of the Relationship Between the Dot Product and the Angle Between Two Vectors in 2D (i.e Theorem 1 on pg 692)
- 2 -- Find the 1st 3 nonzero terms of Taylor Series centered at x=a
- 1 -- Build the equation of a line OR plane
- 1 -- Find the distance between a given point and a line OR plane
- 1 -- Find the Area of a Parallelogram OR Volume of a Parallelepiped
- 1 -- 3D Graphing (intercepts, traces, level curves)
- 2 -- Limits
- 1 -- Compute Partial Derivatives
- 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.) You will be graded on proper use of limits, sequence, and series notation.
- 4.) You will be graded on proper use of derivative and vector 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 12:50-3:00pm and will be in Wellman 216 (where lectures were held). It will cover handouts, lecture notes, and examples from class, homework assignments 1 through 24 (EXCLUDING 10), discussion sheets 1 through 10, and material from sections 10.1-10.9, 12.1-12.5, 14.1-14.8 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 -- Provide the IN CLASS Proof that the Directional Derivative can be computed using a dot product (Theorem 9 on page 804)
- 2 -- Find Taylor Series
- 1 -- (*) or (*)(*) problem (The (*) and (*)(*) formulas will be provided)
- 1 -- Absolute and Conditional Convergence
- 1 -- Interval of Convergence
- 2 -- Directional Derivatives
- 1 -- Find and Classify Critical Points
- 1 -- Lagrange Multiplier
- 1 -- Chain Rule
- 1 -- Applied Extrema Problem
- 1 -- Construct Tangent Plane and/or Normal Line
- 4 -- 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 limits, sequence, and series notation.
- 4.) You will be graded on proper use of derivative and vector notation.
- 5.) Put units on answers where units are appropriate.
- 6.) Make sure to label EVERYTHING of interest in your graphs and sketches. This includes, but is not limited to, labeling points, vectors, curves, and surfaces.
- 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.