Exam Solutions

Homework

Course Syllabus

Additional Help

Schedule

Videos of Selected Topics

Supplementary Materials

Practice Exams

Additional Homework Practice Problems
Robert Hildebrand
Graduate Group in Applied Mathematics
University of California, Davis

Office:  MSB 3127
E-mail: rhildebrand@math.ucdavis.edu

Course: 16C - Fall 2011
 OLSON 147 MWF 1210-0100 PM


----Final Review Handout

----Final exam: will be held in OLSON 147 (same classroom) on  Tuesday, December 06 at 10:30 am

----Review Session will be held in CHEM 166  on Saturday, December 3, 2011 from 6:10pm to 8:00pm

----Tutoring Fundraiser - Saturday 10am - 4pm    MSB 1147     $10  for 6 hours of tutoring

----Remaining Office hours:   Wednesday 1-2pm,  Thursday 10-11am, Saturday 1-3pm, (review 6:10 - 8pm), Monday  ?

Exams:  Here are solutions keys to the exams in this course thus far.  Please notify me if you find an error.
Exam 1  ------  Solutions
Exam 2  ------  Solutions
Exam 3  ------  Solutions
Final Exam -  Solutions


Homework: All will be assigned via WebWorks ( <-- use this link to get there!)
            Homework Questions:  roughly 5-20 questions, similar to that in the textbook, will be assigned and DUE EACH FRIDAY on WebWorks.  You are encouraged to work with your peers on the homeworks and to visit the Calc room (MSB 3113) and office hours for help completing the homework.


Course Syllabus
For further information on the course, visit the math department's syllabus/course outline.

Office Hours: Monday 10-11am, Wednesday 1-2pm, Thursday 10-11am
 TA Office Hours: Monday-Friday 11:00 am - 6:00pm in the Calculus Room (MSB 3118)

Additional Help
      Learning Skills Center   http://lsc.ucdavis.edu/ at Dutton Hall and

     Math Café  http://wrrc.ucdavis.edu/mathcafe/ held on Tuesday nights from 5-7pm at the Women’s  Center (North Hall).


Tentative Course Schedule:

Consult UC Davis Schedule for more information

Monday
 Wednesday
 Friday


Sept 23.      Section C1
Sept 26.    Section C2
 Sept 28.     Section C3 Sept 30.      Section C4
Oct 3.       Section 7.1 Oct 5.         Section 7.2 Oct 7.          Section 7.3
Oct 10.     First Exam Oct 12.       Section 7.4 Oct 14.        Section 7.5
Oct 17.     Section 7.5 Oct 19.       Section 7.6 Oct 21.        Section 7.6
Oct 24.     Section 7.8 Oct 26.       Section 7.8/7.9 Oct 28.        Section 7.9
Oct 31.     Second Exam Nov 2.        Section 10.1
 Nov 4.         Section 10.1/10.2
Nov 7.      Section 10.2/10.3
 Nov 9.        Section 10.3
 Nov 11.       No Class
Nov 14.    Section 10.3/10.4 Nov 16.      Section  10.4 Nov 18.       Section  10.4
Nov 21.    Third Exam Nov 23.      Section  10.5 Nov 25.       No Class 
Nov 28.    Section  10.5 Nov 30.      Section 10.6 Dec 2.         Review/Catch-up

 Final exam: will be held in OLSON 147 (same classroom) on  Tuesday, December 06 at 10:30 am                           .

Exams:  Midterms will be 50 minutes in length; the final exam will be 2 hours long.  No calculators are allowed on exams.  You should prepare for exam by doing the homework, doing practice exams, reading the textbook, and reviewing lecture notes.


Useful Videos of Selected Topics
Partial Fractions Decomposition




Supplementary Review Materials Thanks to Professor Kouba
Trigonometry Review Sheets
Properties of Logarithms and Exponents
Differentiation Rules
Trig Integration Formulas
Methods of Integration
Surfaces handout

Other Practice Exams:
Note:  These practice exams are in no way inteneded to be an accurate reflection of the exams for this course.  Instead, these are intended to be supplementary practice problems that may help you prepare for your exam.

Exams from Robert Hildebrand
Exam 1  ----  Solutions
Exam 2  ----  Solutions
Exam 3  ----  Solutions
Final Exam ---- Solutions

Exams from Professor Basu
Practice Midterm I.
Practice Midterm I Solutions. Error in solution to Problem 5 - the equation of the sphere is x^2 + (y-2)^2 + (z+3)^2 = 9 and the center is (0,2,-3) and NOT (2,0,-3).
Midterm I solutions

Practice Midterm II.
Practice Midterm II Solutions.
Midterm II solutions

Practice Final.
Practice Final Solutions.
There is an error in the solution of Problem 8a). The right answer, I believe, is 4/5.
There is an error in the solution of 9a). The right answer is ln|y| = -e^{x-x^2}+C. Also, in 9b) after using the initial conditions, the particular solution has C=0, i.e. y = x^2(ln(x))^2/2.


Exams from Professor Kouba
Practice Exam 1 and Solutions
Practice Exam 2 and Solutions
Practice Exam 3 and Solutions
Practice Final Exam and Solutions

Other Exams
Fall 2002
Spring 2002


Additional Homework resources

Additional Homework Resources: (If you want more practice, which is a great thing)
Problems listed in bold and underlined have solutions listed under Solutions.  The remaining problems have solutions listed under non-graded problem solutions.

Week 1: Solutions
  •  (Section C.1) ... p. A24: 2, 4, 22, 36, 46,  3, 6, 8, 10-12, 16, 17, 20, 26-29, 32-34, 39, 40, 42-44, 47, 53, 54, 56, 57, 59-61, 63, 66  Non-graded problem solutions

  •  (Section C.2) ... p. A32: 2, 16, 22, 24, 36, 1, 4, 6, 7, 10, 12, 14, 15, 17, 18, 20, 23, 25-28, 30, 33, 34, 37, 39, 40 (Solve for V), 42    Non-graded problem solutions
Week 2: Solutions
Correction*
 Week 3: No Homework collected this week - Midterm On Friday
  • (Section 7.1) ...   p. 462:  1, 6, 8, 9, 12, 13, 15, 17, 18, 21, 24, 26, 27, 29, 32, 34, 36, 39, 41, 43, 46, 47   Non-graded problem solutions
  • (Section 7.2) ... p. 472: 2, 4, 8, 10, (On the following problems use intercepts, traces, and level curves to sketch the 3D surfaces.), 31, 33, 38, 48, 51, 54, 56 ... and ... Worksheet 3     Non-graded problem solutions
Surfaces handout from Wednesday's Class

Week 4:
  •   (Section 7.3) ... p. 480: 1,20,22,26  2, 3, 6, 11, 15-18, (Also find range for the next 7 problems.) 20, 22-24, 26-28, 46 Non-graded problem solutions

  •   (Section 7.4) ... p. 491: 22,28,44,46,66,70   1-16, 20, 21, 24, 26, 27, 29, 31, 38, 39, 41-43, 49, 52, 55, 59 (Simplify answers.), 62, 72-74  Non-graded problem solutions

Week 5: Week 6: Homework Due Wednesday, Feb. 10th  **Solution to 7.6 # 26
 Week 7:
Week 8:

  • (Section 10.1) ... p. 658: 9-28 Non-graded problem solutions

  • (Section 10.2) ... p. 670: 1, 6,8,18, 22,   7,9, 12, 31-40, 45, 49, 50, 53 Non-graded problem solutions

  • (Section 10.3) ... p. 679: 2,5, 8, 10, 15, 17, 21, 22, 28-30, 41, 42, 44, 46, 47, 50-52 Non-graded problem solutions

    • Week 9:
  • (Section 10.2) ... p. 670: 44

  • (Section 10.3) ... p. 679: 32, 34, 46, 53 , 17-26, 28-30, 41, 42, 44, 46, 47, 50-52

  •   (Section 10.4) ... p. 689: 1, 10, 15, 16, 24  3, 9-12, 14-16, 20, 22, 23, 39 Non-graded problem solutions

    • Week 10: Solutions
     
  • (Section 10.4) ... p. 689: 26, 28, 32, 38, 46, 48 1, 3, 9-12, 14-16, 20, 22, 23, 39

  •   (Section 10.4) ... (At least find 1st four nonzero terms in the Taylor Series. Try to find formula for Taylor Series and the resulting interval of convergence, even though this is very difficult for some of the problems.) p. 689: 29, 34, 36, 41, 43, 45 (Start with the Taylor series for 1/(1-x).), 47 .. and ... I.) Find the Taylor Series centered at c=1 for f(x)=lnx, and find the radius of convergence R.
  • Worksheet 10

    • (Section 10.5) ... p. 698: 21,26,28