Math 16a: Short Calculus (Section 001) Winter 2011
CRN 30007

What is new?
Syllabus Tentative Schedule
Pre-Calculus Worksheet (PDF) Homework Assignments
Homework Solutions Supplementary Handouts
Extra Office Hours for the Final Exam

    General Information

    • Class meets at MWF 1:10-2:00pm, Kleiber 3
    • Instructor: Dr. H. Xiao
    • Office: MSB 2148
    • Phone: 752-3827
    • Office Hours: M 2-3pm, W 3-4pm, F 4-5pm or by appointments

    Course Syllabus

    Tentative Schedule

    Homework Assignments

    Homework Solutions

    Textbook

    • Textbook: Calculus: An Applied Approach, 7th Edition, by R. E. Larson, B. H. Edwards (Houghton Mifflin Co., 2006). Sections covered: 1.1-1.6, 2.1-2.8, 8.1-8.4, 3.1-3.4, 3.6-3.8.

      Note: you may also use the customized version of the textbook (softcover) for this class.

    Prerequisite

    • All students enrolling in Math 16A are required to satisfy the Math Placement Requirement (see details here) .
    • The winter quarter's second testing window will be open from January 4 (noon) - January 7 (3pm), 2011. Note, this is the last testing window offered for this quarter. You are only allowed one try for this testing window.
    • By the end of this testing window, you must have produced a qualifying score. Otherwise, the department will begin dropping you soon after the tests (by October 6).
    • The Student Academic Success Center (formerly known as the Learning Skills Center) may provide exam preparation workshops. You are encouraged to go to the Center's web site for details.

    TA Office Hours

    • Mark Lydon, email: mtlydon .at. math.ucdavis.edu, Tuesdays 2-6pm, in Calculus Room (MSB 3118)
    • Benoit J. Richard, email: bjr .at. math.ucdavis.edu. Office hours: Mondays 2-3pm, Tuesdays 1-2pm and Wednesdays 2-4pm, all in Calculus Room (MSB 3118)

    The Calculus Room

    • The department has a room reserved for students in 16 series (MSB 3118), where the TAs (including those from other sections of the 16 series) will be available for questions and tutoring.
      Location: MSB 3118
      General Hours: 11-6pm

    Grading Policy and Exams

    • Your grade of the course will be determined by your scores for the exams and for the final.
    • There will be three midterm exams and one final exam for this class. These exams are tentatively scheduled on the following dates.
      • Exam 1: Wed Jan 26, in class
      • Exam 2: Friday Feb 11, in class
      • Exam 3: Wed March 2, in class
      • Final exam: Mar 18 at 10:30am-12:30pm. The location is Kleiber 3. The exam will start at 10:30am sharp.
    • There will be no make-up exams. A missed exam is zero points.

    Exam 1

    • EXAM 1 is Wednesday, January 26, 2011. It will cover handouts, lecture notes, and examples from class, homework assignments 1 through 8, and material from sections 1.1-1.6, and 2.1-2.3 in the book, which was presented in lecture notes through the derivative material on Monday, Jan 24, 2011.
    • Practice Exam 1, Practice Exam 1 Solution
    • 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, copy answers from another student's exam, have another student take your exam for you. 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.) Using only a calculator to determine the value of limits will receive little credit.
      • 4.) You will be graded on proper use of limit notation.
      • 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 an OPTIONAL EXTRA CREDIT problem on the exam.
    • Here is a Pre-Calculus Worksheet (PDF) for those of you who would like to review some old material.

    Exam 1 Extra TA Office Hours

    • Ben Richard: Tuesday 1/25 10-11:30am @ MSB 3118 (The Calculus Room)
    • Mark Lydon: Tuesday 1/25 12noon-1:30pm @ MSB 3118 (The Calculus Room)

    Exam 1 Approxmate Grade Lines

      A+: 100-110
      A: 88 - 99
      A-: 84 - 87
      B: 66 - 83
      C: 48 - 65
      D: 30 - 47
      F: 0 - 29
      Median: 68
      Average: 68
      Highest Score: 109
      Lowest Score: 19

    Exam 2

    • EXAM 2 is on Friday Feb 11, 2011. It will cover handouts, lecture notes, and examples from class, homework assignments 9 through 13, and material from sections 2.4-2.5, 8.1-8.4 in the book, which was presented in lecture notes through derivatives of trigonometric functions on Wed, Feb 9, 2011.
    • MEMORIZE the following list of derivative rules. (Rules 1-5 were covered in the previous exam but will be needed for this exam as well. )
      1. (c)' = 0
      2. (mx+b)' = m
      3. (f(x) +/- g(x))' = f'(x) +/- g'(x)
      4. (c f(x))' = c f'(x)
      5. (x^n)' = n x^(n-1)
      6. (Product Rule) ... (f(x)g(x))' = f(x)g'(x) + f'(x)g(x)
      7. (Quotient Rule) ... (f(x)/g(x))' = {g(x)f'(x) - f(x)g'(x)}/[g(x)]^2
      8. (sin x)' = cos x
      9. (cos x)' = - sin x
      10. (tan x)' = [sec x]^2
      11. (sec x)' = sec x tan x
      12. (cot x)' = - [csc x]^2
      13. (csc x)' = - csc x cot x
      14. (Chain Rule) ... dy/dx = dy/du * du/dx
    • MEMORIZE the simpler trig identities (Pythogorean identities, reduction formulas) on page 559. The sum or difference of two angles formulas, double angle formulas and half angle formulas will be given if they are needed. However, you need to know how to apply them in problem solving. You obviously need to know the definitions on page 558 and your unit circle.
    • Practice Exam 2, Solution (note: the coefficient in 5(d) should 1/2, not -1/2)

    Exam 2 Approxmate Grade Lines

      A+: 100-110
      A: 88 - 99
      A-: 85 - 87
      B+: 80 - 84
      B: 73 - 79
      B-: 66 - 72
      C: 48 - 65
      D: 31 - 47
      F: 0 - 30
      Median: 89
      Average: 87.7
      Highest Score: 110
      Lowest Score: 35

    Exam 3

    • EXAM 3 is on Wednesday, Mar 2, 2011. It will cover handouts, lecture notes, and examples from class, homework assignments 14 through 19, and material from sections 2.6-2.8 and 3.1-3.3 in the book, which was presented in lecture notes through the graphing material on Feb 28, 2011. You are expected to know the 14 rules of differentiation, some were needed on previous exams.
    • As we have discussed in class, EXAM 3 will be based on homework problems. Please continue working on your homework problems, and ask all your questions before the exam.
    • Practice Exam 3 and Solution. Please note that Exam 3 will be based on homework problems, so it might not be similar to the practice test here.

    Exam 3 Approxmate Grade Lines

      A+: 100-110
      A: 87 - 99
      A-: 84 - 86
      B+: 78 - 83
      B: 74 - 77
      B-: 66 - 73
      C+: 60 - 65
      C: 54 - 59
      C-: 48 - 53
      D: 31 - 47
      F: 0 - 30
      Median: 64
      Average: 64
      Highest Score: 108
      Lowest Score: 10

    Final Exam

    • The final exam is on Friday, March 18, 2011. It will cover handouts, lecture notes, and examples from class, homework assignments 1 through 23, and material from Chapters 1, 2, Sections 3.1-3.4, 3.6-3.8, and 8.1-8.4 in the book, which was presented in lecture notes through the deferential material on Monday March 14, 2011. You are expected to know functions, graphs, limits, the 14 rules of differentiation, computation of asymptotes, first and second derivative tests, trigonometric functions and their derivatives, and solving optimization problems.
    • If you have done the optional extra credit survey, please hand it in when you arrive at the Final Exam and BEFORE the exam starts. The extra credit points will be ADDED to your RAW SCORE for the final exam in the following manner:
      The final exam will be a 100-point exam. Assume that your raw score on the final exam is A points and your survey points add up to P total points. The score I will record for your final exam is:
      Final Exam Score = A + (100 - A)/100 * P
      For example, if A = 60 and P = 8, then the score I will record for your final exam is
      Final Exam Score = 60 + (100 - 60)/100 * 8 = 63.2.
    • Please remember to bring your student ID to the final exam for checking. Thank you for your cooperation.
    • Practice Final Exam and solution to problems 5 and bonus, and the rest
    • Extra Office Hours for the Final Exam on Wed March 16 and Thur March 17

    Other Resources

    • Your residence hall may have math tutors in the evenings. Please check on it.


This site was last updated 06/07/09