Math 32 - Fall 2016

Instructor: Alexander Appleton
e-mail: aja44@berkeley.edu
Office: 787 Evans
Office hours: TueThu 2:30-3:30pm
Lectures: Tuesdays 12:30-2:00pm and Thursdays 5:00-6:00pm, 10 Evans
Discussion sections: See below
Enrollment: For questions on enrollment contact Thomas Brown

Announcements

  • First Class on Thursday, August 25th
  • First Homework due on Wed, Sept 7th. After that homework will be due every Monday.
  • First Quiz on Wed, Sept 7th.
  • There have been some room changes for the sections:
    Math 32-103 (19104): MW 10-11 in 81 Evans
    Math 32-104 (19105): MW 11-12 in 4 Evans
    Math 32-105 (19106): MW 11-12 in 85 Evans
    Practice Final

    Textbook

    Precalculus: A Prelude to Calculus, Second Edition, by Sheldon Axler. Note that we are using the second edition of Axler's text, not the first edition as in previous semesters. Berkeley has arranged a cheaper custom edition of the text, which is available at the Cal bookstore or directly from the publisher. The content in the custom edition is identical to that in the second edition.

    Homework

    The weekly homework will be posted here and announced in classes. The homework is due every Monday in sections. Due to Labour day, the first homework will be due on Wednesday, September 7. After that it will be due every Monday.

    Homework 1 (Due Wed, Sept 7):

  • Worksheet 1
  • Section 0.2 - 6, 8, 12, 14, 18, 20, 24, 26, 28, 30, 32, 34, 38, 40, 46, 48, 52, 53, 55, 58
  • Section 0.3 - 2, 4, 6, 8, 10, 20, 24, 28, 30, 36, 42, 48, 52, 56, 58
  • Section 1.1 - 2, 6, 10, 20, 22, 24, 26, 34, 38, 40, 42, 44, 46, 48, 50, 62, 64, 69, 70
    •

    Solution for Worksheet 1

    Homework 2 (Due Mo, Sept 12 )

  • Worksheet 2
  • Section 1.2 - 12, 20, 26, 28, 30, 32, 45, 46, 47
  • Section 1.3 - 16, 20, 24, 28, 32, 36, 40, 44, 48, 50, 56, 58, 59
  • Section 1.4 - 6, 10, 18, 20, 24, 32, 34, 46, 48, 55, 56, 57, 58, 59, 66, 67, 68

    • Solution for Worksheet 2

    Homework 3 (Due Mo, Sept 19 )

  • Worksheet 3
  • Section 1.5 - 2, 4, 6, 8, 10, 36, 37, 38, 41, 45
  • Section 1.6 - 2, 4, 6, 8, 10, 12, 37, 48
  • Section 2.1 - 4, 6, 12, 14, 16, 28, 32, 36, 38, 40, 46, (optional: 54)

    • Solution for Worksheet 3

    Homework 4 (Due Mo, Sept 26 )

  • Worksheet 4 Problems 1, 2 ,6 , 7
  • Section 2.2 - 2, 14, 18, 20, 30, 32, 36, 52, 86, 88

    • Solution for Worksheet 4

    Homework 5 (Due Mo, Oct 3 )

  • Worksheet 4, Problems 3, 4, 5, 8
  • Three exercises in this supplemental handout: Graphing Polynomials
  • Section 2.4 - 2, 6, 12, 16, 22, 24, 26, 28, 31, 32, 33, 42, 43, 63, 64, 72
  • Section 2.5 - 2, 6, 10, 16, 22, 28, 30, 32, 34, 36, 38, 40

    • Homework 6 (Due Mo, Oct 10 )

  • Worksheet 6
  • Section 2.3 - 4, 6, 10, 14, 26, 30, 82, 84, 96, 98, 115, 116
  • Section 3.1 - 10, 14, 18, 22, 26, 30, 32, 36, 38, 40, 80, 83, 85, 89
  • Section 3.2 - 4, 10, 26, 43, 47, 48
  • Section 3.3 - 10, 28, 30, 32, 36, 38, 44, 48, 65, 71, 73

    • Solution for Worksheet 6

    Homework 7 (Due Mo, Oct 17 )

  • Worksheet 7
  • Section 3.4 - 4, 14, 16, 22, 24, 32
  • Section 2.2 - 56, 58, 68, 72, 74, 97
  • Appendix A - 2, 6, 14, 16, 18, 24, 38, 40, 46, 50, 72

    • Solution for Worksheet 7

    Homework 8 (Due Mo, Oct 24 )

  • Worksheet 8
  • Section 3.5 - 12, 16, 20, 24, 40, 50, 53, 54, 55, 56
  • Section 3.6 - 2, 4, 6, 8, 12, 16, 36
  • Section 3.7 - 2, 4, 12, 26, 18, 37

    • Solution for Worksheet 8

    Homework 9 (Due Mo, Oct 31)

  • Worksheet 9
  • Section 4.1 - 2, 4, 8, 10, 12, 14, 53
  • Section 4.2 - 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 32, 34, 47, 51

    • Solution for Worksheet 9

    Homework 10 (Due Mo, Nov 7)

  • Worksheet 10
  • Section 4.3 - 2, 4, 6, 8, 10, 12, 18, 22, 24, 35, 36, 38, 39, 42, 44, 45
  • Section 4.4 - 8, 10, 14, 18, 20, 24, 28, 30, 34, 38, 43, 44, 45
  • Section 4.5 - 2, 4, 14, 16, 18, 20, 24, 26, 28, 37, 38, 41

    • Solution for Worksheet 10

    Homework 11 (Due Mo, Nov 14)

  • Worksheet 11
  • Section 4.6 - 6, 8, 10, 12, 14, 22, 30, 38, 46, 50, 58, 66, 70, 71, 72, 75, 80, 81, 85, 88 - and interpret the result of 88 as a statement about the relationship between the graphs y = sin(x) and y = cos(x)
  • Section 5.1 - 2, 4, 18, 20, 36, 42, 49, 52, 53, 54, 55 - for the problems with calculator icons, you can leave your answers in terms of inverse trig functions
  • Section 5.2 - 2, 6, 10, 14, 18, 24, 26, 28, 30

    • Solution for Worksheet 11

    Homework 12 (Due Mo, Nov 21)

  • Worksheet 12
  • Section 5.3 - 8, 10, 12, 16, 20, 22, 26, 28, 30, 32, 34, 36, 38, 41, 42, 45, 47, 48
  • Section 5.4 - 4, 8, 12, 16, 22, 29, 30, 31, 43, 44 for the problems with calculator icons, you can leave your answers in terms of trig and inverse trig functions

    • Solution for Worksheet 12

    Homework 13 (Due Mo, Nov 28)

  • Worksheet 13
  • Section 5.5 - 10, 12, 14, 16, 18, 20, 22, 24, 26, 64, 66, 68, 72, 73, 76, 79, 105
  • Section 5.6 - 6, 8, 10, 12, 26, 30, 32, 39, 46, 57, 58

    • Solution for Worksheet 13

    Homework 14 (Due Mo, Dec 5)

  • Worksheet 14
  • Section 6.1 - 2, 4, 6, 8, 14, 16, 22, 24, 26, 34
  • Review this Trig Study guide

    • Solution for Worksheet 14

    Student Learning Center

    The SLC offers drop-in tutoring Monday-Thursday 10-4 in Chavez 103. They also offer a 1-unit adjunct course, Math 98, designed to be taken simultaneously with Math 32. Many students find the adjunct course useful, but enrolling in it is entirely optional. Information is available at http://slc.berkeley.edu/math-32

    Syllabus

    The following is a rough outline of the syllabus - we might get ahead or fall behind. The dates of the midterms and final however will not change.

    Date: Lecture Topic:
    Thu Aug 25 Introduction + Section 0.1, 0.2
    Tue, Aug 30 0.3 - Inequalities and Absolute Values
    1.1 - Functions
    Thu, Sept 1 1.2 - The Coordinate Plane and Graphs
    1.3 - Function Transformations and Graphs
    Tue, Sept 6 1.3 - Function Transformations and Graphs
    1.3 - Examples, Even and Odd Functions
    Thu, Sept 8 1.4, 1.5 - Composition and Inverses
    Tue, Sept 13 1.6 - More on Inverse Functions
    2.1 - Linear Functions and Lines
    Thu, Sept 15 2.2 Quadratic Functions
    2.4 Polynomials
    Tue, Sept 20 2.5 - Rational Functions
    Brief Midterm Review
    Thu, Sept 22 1st Midterm
    Tue, Sept 27 2.3/3.1 - Exponential Functions and Logarithms
    Thu, Sept 29 3.2 - Applications of the Power Rule for Logarithms
    3.3 - Applications of the Product and Quotient Rules for Logarithms
    Tue, Oct 4 3.4 - Exponential Growth
    2.2 - Distances, Circles and Ellipses, and Circumference
    Thu, Oct 6 Appendix A/3.5 - Area and Area under Curves
    Tue, Oct 11 3.5/3.6 - Defining e and ln via Area under Curves, Approximations
    Thu, Oct 13 3.7 - Exponential Growth revisted
    7.1 - Sequences
    Tue, Oct 18 7.2 - Series
    Midterm Review
    Thu, Oct 20 2nd Midterm
    Tue, Oct 25 4.1 - The Unit Circle
    4.2 - Radians
    Thu, Oct 27 4.3 - Cosine and Sine
    Tue, Nov 1 4.4 - More Trigonometric Functions
    4.5 - Trigonometry in Right Triangles
    Thu, Nov 3 4.5 - Trigonometry in Right Triangles (continuation)
    4.6 - Trigonometric Identities
    Tue, Nov 8 5.1 - Inverse Trigonometric Functions
    5.2 - Inverse Trigonometric Identities
    Thu, Nov 10 5.2 - Inverse Trigonometric Identities (cont.)
    5.3 - Using Trigonometry to Compute Area
    Tue, Nov 15 5.4 - The Law of Sines and the Law of Cosines
    5.5 - Double-Angle and Half-Angle Formulas
    Thu, Nov 17 5.5 - Double-Angle and Half-Angle Formulas (cont.)
    5.6 - Addition and Substraction Formulas
    Tue, Nov 22 6.1 - Transformations of Trigonometric Functions
    Thu, Nov 24 NO CLASS: THANKSGIVING
    Tue, Nov 29 Final Exam Review
    Thu, Dec 1 Final Exam Review
    Fri, Dec 16 8-11am Evans 10 Final Exam

    Exams

    Midterm 1 : Thursday, September 22, in class
    Midterm 2 : Thursday, October 20, in class
    Final : Friday, December 16 8-11am Evans 10

    Practice Midterm 1

    Solutions

    Here is the first midterm, together with solutions. A rough breakdown of the letter grades for the first midterm is as follows:

    Score Grade
    60-100A
    40-60B
    25-40C
    15-25D
    The mean score was 41 and the median was 43. Keep in mind that these letter grades are estimates only - only the numbers are used to compute your final grade.

    Practice Midterm 2

    Here is the second midterm, together with solutions. A rough breakdown of the letter grades for the first midterm is as follows:

    Score Grade
    45-80A
    35-45B
    20-35C
    10-20D
    The mean score was 27 and the median was 27. Keep in mind that these letter grades are estimates only - only the numbers are used to compute your final grade.

    Practice Final

    Solutions for Practice Final

    Discussion Sections

    Section Time & location GSI Email Office Hours
    101 MW 8-9 70 Evans Shankar, Isabelle isabelle_shankar@berkeley.edu Tue/Wed 3-4, Evans 850
    102 MW 9-10 9 Evans Stefanich, German gstefanich@berkeley.edu Fr 9-11, Evans 848
    103 MW 10-11 5 Evans Rosu, Eugenia rosu@math.berkeley.edu Mo 12-1 Wed 5-6, Evans 1049
    104 MW 11-12 5 Evans Rosu, Eugenia rosu@math.berkeley.edu Mo 12-1 Wed 5-6, Evans 1049
    105 MW 11-12 121 Latimer Shankar, Isabelle isabelle_shankar@berkeley.edu Tue/Wed 3-4, Evans 850
    106 MW 11-12 110 Barker Stefanich, German gstefanich@berkeley.edu Fr 9-11, Evans 848
    107 MW 8-9 3105 Etcheverry Zhang, Jiefu (Jeff) jiefuzhang@berkeley.edu Tue 2-4, Evans 826
    108 MW 3-4 75 Evans Zhang, Jiefu (Jeff) jiefuzhang@berkeley.edu Tue 2-4, Evans 826

    Grading and Course Policy

    Grades: The final grade will be based on weekly homework assignments (10%), weekly quizzes (10%), Midterm 1 (20%), Midterm 2 (20%), and the Final Exam (40%). The grades of the homework and quizes will be curved to account for differences in the difficulty of quizes and grading standards across sections.

    Homework: There will be weekly homework to be handed in Mondays. Late homework will not be accepted. Homework will consist of questions from the book and a weekly worksheet that I will post online here. The homework will be graded on a coarse scale from 1 to 10, of which 7 points are awarded for problems from the book and 3 points for the ones from the worksheet. The worst two homework scores will be dropped and will not count towards the final grade.

    Quizzes: There will be weekly quizzes given each Wednesday in the discussion section. There will be no make-up quizzes, but the two lowest quiz scores will be dropped when computing your final grade.

    Exams:  There will be two in-class midterm exams and a final. There will be no make-up exams for any reason. However, in the case that the score of your final is greater than the lower of you midterm scores, the lower midterm score will be replaced by the final score at the end of the semester. This allows you to miss one midterm. Please make sure that you have no conflicts for the final exam.

    The exams are "closed book", in particular, you may not bring textbooks, notebooks, cheat sheets or calculators. If there is an emergency alarm during the midterms or the final exam, leave the exam at the desk and walk out. You may or may not be allowed back to complete the work.

    Grade corrections: The grades for exams or quizzes will be changed only if there is a clear error on the part of the grader, such as adding up marks incorrectly. Problems must be brought to the attention of the GSI immediately after the exams are returned.

    Incomplete grades: Incomplete "I" grades are almost never given. The only justification is a documented serious medical problem or genuine personal/family emergency. Falling behind in this course or problems with workload in other courses are not acceptable reasons.

    Special arrangements: If you are a student with a disability registered by the Disabled Student Services (DSS) on UCB campus and if you require special arrangements during exams, you must provide the DSS document and make arrangements via email or office hours at least 10 days prior to each exam, explaining your circumstances and what special arrangements need to be done. Also see your GSI as soon as possible to make arrangements for the homework/quizzes.