Math 16C Website

MATH 16C (SECTION 1), 2205 Haring, 8-8:50 MWF

Instructor: Dr. D. A. Kouba

Last Updated: December 8, 2005

Text: CALCULUS, An Applied Approach (6th edition) by Larson and Edwards

Office: 484 Kerr

Phone: (530) 752-1083

Regular Office Hours: 10-11 T Th or by appointment

TA Office Hours : Math 16ABC Calculus Room in 271 Kerr is open 11 am - 6 pm Monday through Friday

...... MATH16C COURSE GRADES (listed by the last four digits of your student identification number).

OFFICE HOURS		MONDAY, December 5, 2005		11-11:30 am and 5:30-6:30 pm		484 Kerr
		TUESDAY, December 6, 2005		10-11 am and 5:30-6:30 pm		484 Kerr

EXAM DATES :

EXAM 1-- MONDAY, OCTOBER 17, 2005
EXAM 2-- WEDNESDAY, NOVEMBER 9, 2005
EXAM 3-- FRIDAY, DECEMBER 2, 2005
FINAL EXAM -- MONDAY, DECEMBER 12, 2005, 10:30 a.m. - 12:30 p.m., in 2205 Haring

The course will likely cover the following sections in our textbook : C.1-C.4, 7.1-7.6, 7.8, 7.9, and 10.1-10.6

Here is a Course Syllabus .

Here is a Schedule of lectures.

Here are Math 16C . . . . . HOMEWORK Solutions . . . . . and . . . . . EXAM Solutions

Here are copies of Worksheets .

Here are Supplementary Class Handouts .

Here are Trigonometry Review Sheets including graphs, exact values, and identities.

Here are Properties of Logarithms and Exponents .

Here are Differentiation Rules from Math 16A and Math 16B.

Here are Trig Integration Formulas from Math 16B.

Here are Methods of Integration from Math 16B .

Here are Practice Exam 1 and Solutions .

Here are Practice Exam 2 and Solutions .

Here are Practice Exam 3 and Solutions .

Here are Practice Final Exam and Solutions .

These are the OPTIONAL EXTRA CREDIT survey and short paper .

Click here for additional optional PRACTICE PROBLEMS with SOLUTIONS found at THE CALCULUS PAGE . Here are some TIPS for doing well on my exams.

HW #1 ... (Section C.1) ... p. A24: 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
HW #2 ... (Section C.2) ... p. A32: 1, 4, 6, 7, 10, 12, 14, 15, 17, 18, 20, 23, 25-28, 30, 33, 34, 37, 39, 40 (Solve for V), 42
HW #3 ... (Section C.3) ... p. A37: 1-19, 22, 28, 31, 34, 35, and 44
HW #4 ... (Section C.4) ... p. A44: 1, 6, 7, 15, 20, 28-33, ... and ... Q3 (from Mixture Problem handout from class) ... and ... Worksheet 1
HW #5 ... (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 ... and ... Worksheet 2
HW #6 ... (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

EXAM 1 is Monday, October 17, 2005. It will cover handouts, lecture notes, and examples from class, homework assignments 1 through 6, and material from sections C1, C2, C3, C4, 7.1 and 7.2 in the book which was presented in lecture notes through Wednesday, October 12, 2005.

TYPES OF QUESTIONS FOR EXAM 1 FOR FALL 2005 (subject to change)

5 -- Solve Differential Equations using any method (integrate once, integrate twice, separable, or first-order linear)
1 -- Use implicit differentiation to show equation solves D.E.
1 -- Sphere problem
1 -- Sketch surface in 3D-Space using intercepts, traces, or level curves. Find the exact problem HERE .
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. 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, or classmates may be used as resources for this exam. YOU MAY USE A CALCULATOR ON THIS EXAM.
3.) You will be graded on proper use of derivative and integral 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.

Most of the exam questions will be homework-type, practice exam-type questions. There will be OPTIONAL EXTRA CREDIT problems on the exam.

THE GRADING SCALE FOR EXAM 1 FOR FALL 2005 IS :

A+ ...... 100-110

A ...... 89-99

A-/B+ ...... 85-88

B ...... 70-84

C ...... 50-69

D ...... 41-49

F ...... 0-40

HW #7 ... (Section 7.3) ... p. 480: 2, 3, 6, 11, 15-18, (Also find range for the next 7 problems.) 20, 22-24, 26-28, 46
HW #8 ... (Section 7.4) ... p. 491: 1-16, 20, 21, 24, 26, 27, 29, 31, 38, 39, 41-43, 49, 52, 55, 59 (Simplify answers.), 62, 72-74
HW #9 ... (Section 7.5) ... p. 501: 2, 3, 5, 7, 9, 10, 14, 18, 20 ... and ... Worksheet 4
HW #10 ... (Section 7.5) ... p. 501: 33-35, 37, 42(optional), 43, 46 ... and ... Worksheet 5
HW #11 ... (Section 7.6) ... p. 511: 2, 4, 5, 7, 10, 13, 14, 16
HW #12 ... (Section 7.6) ... p. 511: 18, 22, 24, 28, 33 ... and ... Worksheet 6
HW #13 ... (Section 7.8) ... p. 530: 1, 2, 3, 7, 9-11, 14-16, 20, 26, 30-32, 35, 40, 41, 44, 45
HW #14 ... (Section 7.8 and 7.9) ... p. 530: 33, 34 ... and ... p. 538: 5, 6, 11, 12, 17, 20, 22, 27, 30, 35, 36 ... and ... Worksheet 7
HW #15 ... Worksheet 8

EXAM 2 is Wednesday, November 9, 2005. It will cover handouts, lecture notes, and examples from class, homework assignments 7 through 15, and material from sections 7.3-7.6, 7.8, and 7.9 in the book which was presented in lecture notes through Monday, November 7, 2005.

TYPES OF QUESTIONS FOR EXAM 2 FOR FALL 2005 (subject to change)

1-- Derive various partial derivatives.
2-- Evaulate double integrals; switch order of integration 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 either one constraint or two constraints to determine critical point for maximum or minimum. Find the exact problem HERE .
1-- Determine domain and range for z=f(x,y).
1-- 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. 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, or classmates may be used as resources for this exam. YOU MAY USE A CALCULATOR ON THIS EXAM.
3.) You will be graded on proper use of derivative and integral 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 receive LITTLE or NO 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.

THE GRADING SCALE FOR EXAM 2 FOR FALL 2005 IS :

A+ ...... 101-110

A ...... 90-100

A-/B+ ...... 86-89

B ...... 74-85

C ...... 55-73

D ...... 40-54

F ...... 0-39

HW #16 ... (Section 10.1) ... p. 658: 2-5, 7, 31, 34, 36, 38, 40-42, 44, 50 (Find nth term.), 51 (Find nth term.), 66, 68a ... and ... Worksheet 9

HW #17 ... (Section 10.1) ... p. 658: 9-28 ... and ... (Section 10.2) ... p. 670: 13-16, 18, 19, 24, 26, 47, 51, 52

HW #18 ... (Section 10.2) ... p. 670: 6-9, 12, 31-40, 45, 49, 50, 53 ... and ... (Section 10.3) ... p. 679: 7-16, 32, 33

HW #19 ... (Section 10.3) ... p. 679: 17-26, 28-30, 41, 42, 44, 46, 47, 50-52

HW #20 ... (Section 10.4) ... p. 689: 1, 3, 9-12, 14-16, 20, 22, 23, 39

HW #21 ... (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: 26, 28, 29, 32, 34, 36, 41, 43, 45 (Start with the Taylor series for 1/(1-x).), 46, 48 (yes, before 47), 47 .. and ... I.) Find the Taylor Series centered at c=1 for f(x)=lnx, and find the radius of convergence R.

HW #22 ... Worksheet 10

EXAM 3 is Friday, December 2, 2005. It will cover handouts, lecture notes, and examples from class, homework assignments 16 through 22, and material from sections 10.1-10.4 which was presented in lecture notes through Wednesday, November 30, 2005.

TYPES OF QUESTIONS FOR EXAM 3 FOR FALL 2005 (subject to change)

3-- Find nth term of sequence
4-- Use series tests to determine convergence or divergence of series
1-- Sequence applied to problem. Find the exact problem HERE (NOTE that the vertical line in the given figure does NOT count as one of the 100 vertical lines.).
1-- Interval and radius of convergence
1-- Using error formula for p-series
1-- Find Taylor Series Using Taylor's Theorem
2-- Find Taylor Series Using Shortcuts
2 -- OPTIONAL EXTRA CREDIT

HERE ARE SOME RULES FOR EXAM 3.

1.) IT IS A VIOLATION OF THE UNIVERSITY HONOR CODE TO, IN ANY WAY, ASSIST ANOTHER PERSON IN THE COMPLETION OF THIS 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, or classmates may be used as resources for this exam. YOU MAY USE A CALCULATOR ON THIS EXAM.
3.) You will be graded on proper use of derivative and integral 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.

THE GRADING SCALE FOR EXAM 3 FOR FALL 2005 IS :

A+ ...... 101-120

A ...... 90-100

A-/B+ ...... 87-89

B ...... 75-86

C ...... 60-74

D ...... 50-59

F ...... 0-49

HW #23 ... (Section 10.5) ... (Use shortcuts to get Taylor polynomials.) p. 698: 1, 2, 3 (Use formula on p. 687.), 4, 5, 9, 10, 17, 18
HW #24 ... (Section 10.5) ... (Use shortcuts to get Taylor polynomials.) p. 698: 21, 22, 23 (Use formula on p. 687.), 25-28 ... and ... Worksheet 11
HW #25 ... (Section 10.6) ... P. 705: 4, 9, 14, 16, 31, 36, 39, 44

The FINAL EXAM is Monday, December 12, 2005,

10:30 a.m. - 12:30 p.m.

in 2205 Haring .

BRING A PICTURE ID TO THE EXAM
AND BE PREPARED TO SHOW IT TO KOUBA OR THE TEACHING ASSISTANTS !!

The final exam will cover handouts, lecture notes, and examples from class, homework assignments 1 through 25, and material from sections C.1-C.4, 7.1-7.6, 7.8, 7.9, and 10.1-10.6. Use your three hour exams, 25 homework assignments, and the practice exams as a guide to your preparing for the final exam.

TYPES OF QUESTIONS FOR THE FINAL EXAM FOR FALL 2005 (subject to change)
HERE ARE SOME RULES FOR THE FINAL EXAM.

####################################################################

####################################################################

MATH 16C (SECTION 1), 2205 Haring, 8-8:50 MWF

Instructor: Dr. D. A. Kouba

These are the OPTIONAL EXTRA CREDIT survey and short paper .

Your comments, questions, or suggestions can be sent via e-mail to Kouba by clicking on the following address : kouba@math.ucdavis.edu .

Your comments, questions, or suggestions can be sent via e-mail to Kouba by clicking on the following address :
kouba@math.ucdavis.edu .