Math 32 - Fall 2015

Instructor: Alexander Appleton
e-mail: aja44@berkeley.edu
Office: 787 Evans
Office hours: TueThu 1-2pm
Lectures: Tuesdays and Thursdays, 3:30-5:00pm, 10 Evans
Discussion sections: See below
Enrollment: For questions on enrollment contact Thomas Brown

Announcements

  • (11/29)Lecture notes from 11/24
  • (9/11) More detailed description of composition of function example from lecture
  • (9/11) Correction to Graph Transformation Problem
  • (8/23) No Classes on August 27. The first classes will be on September 1

    • 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 9. After that it will be due every Monday.

    Homework 1 (Due Wed, Sept 9):

  • 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

    • Homework 2 (Due Mo, Sept 14 )

  • 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

    • Homework 3 (Due Mo, Sept 21 )

  • 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)

    • Homework 4 (Due Mo, Sept 28 )

  • Worksheet 4
  • Section 2.2 - 2, 14, 18, 20, 30, 32, 36, 52, 86, 88
  • Section 2.4 - 2, 6, 12, 16, 22, 24, 26, 28, 31, 32, 33, 42, 43, 63, 64, 72

    • Homework 5 (Due Mo, Oct 5 )

  • Three exercises in this supplemental handout: Graphing Polynomials
  • Section 2.5 - 2, 6, 10, 16, 22, 28, 30, 32, 34, 36, 38, 40

    • Homework 6 (Due Mo, Oct 12 )

  • 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

    • Homework 7 (Due Mo, Oct 19 )

  • 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

    • Homework 8 (Due Mo, Oct 26 )

  • 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

    • Homework 9 (Due Mo, Nov 2)

  • 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

    • Homework 10 (Due Mo, Nov 9)

  • 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

    • Homework 11 (Due Mo, Nov 16)

  • 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

    • Homework 12 (Due Mo, Nov 23)

  • 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

    • Homework 13 (Due Mo, Nov 30)

  • 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

    • Homework 14 (Due Mo, Dec 7)

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

    • 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:
    Tue, Sept 1 Introduction + Section 0.1, 0.2
    Thu, Sept 3 0.3 - Inequalities and Absolute Values
    1.1 - Functions
    Tue, Sept 8 1.2 - The Coordinate Plane and Graphs
    1.3 - Function Transformations and Graphs
    Thu, Sept 10 1.3 - Function Transformations and Graphs
    1.3 - Examples, Even and Odd Functions
    Tue, Sept 15 1.4, 1.5 - Composition and Inverses
    Thu, Sept 17 1.6 - More on Inverse Functions
    2.1 - Linear Functions and Lines
    Tue, Sept 22 2.2 Quadratic Functions
    2.4 Polynomials
    Thu, Sept 24 2.5 - Rational Functions
    Brief Midterm Review
    Tue, Sept 29 1st Midterm
    Thu, Oct 1 2.3/3.1 - Exponential Functions and Logarithms
    Tue, Oct 6 3.2 - Applications of the Power Rule for Logarithms
    3.3 - Applications of the Product and Quotient Rules for Logarithms
    Thu, Oct 8 3.4 - Exponential Growth
    2.2 - Distances, Circles and Ellipses, and Circumference
    Tue, Oct 13 Appendix A/3.5 - Area and Area under Curves
    Thu, Oct 15 3.5/3.6 - Defining e and ln via Area under Curves, Approximations
    Tue, Oct 20 3.7 - Exponential Growth revisted
    7.1 - Sequences
    Thu, Oct 22 7.2 - Series
    Midterm Review
    Tue, Oct 27 2nd Midterm
    Thu, Oct 29 4.1 - The Unit Circle
    4.2 - Radians
    Tue, Nov 3 4.3 - Cosine and Sine
    Thu, Nov 5 4.4 - More Trigonometric Functions
    4.5 - Trigonometry in Right Triangles
    Tue, Nov 10 4.5 - Trigonometry in Right Triangles (continuation)
    4.6 - Trigonometric Identities
    Thu, Nov 12 5.1 - Inverse Trigonometric Functions
    5.2 - Inverse Trigonometric Identities
    Tue, Nov 17 5.2 - Inverse Trigonometric Identities (cont.)
    5.3 - Using Trigonometry to Compute Area
    Thu, Nov 19 5.4 - The Law of Sines and the Law of Cosines
    5.5 - Double-Angle and Half-Angle Formulas
    Tue, Nov 24 5.5 - Double-Angle and Half-Angle Formulas (cont.)
    5.6 - Addition and Substraction Formulas
    Thu, Nov 26 NO CLASS: THANKSGIVING
    Tue, Dec 1 6.1 - Transformations of Trigonometric Functions
    Thu, Dec 3 Final Exam Review
    Fri, Dec 18 7-10pm Final Exam

    Exams

    Midterm 1 : Tuesday, 29th of September
    Midterm 2 : Tuesday, 27th of October
    Final : Friday, 18th of December, 7-10p

    Midterm 1

    Practice First Midterm

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

    Score Grade
    70-100A
    55-70B
    30-55C
    15-30D
    The mean score was 58 and the median was 62. Keep in mind that these letter grades are estimates only - only the numbers are used to compute your final grade.

    Midterm 2

    Practice Second Midterm

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

    Score Grade
    67-100A
    51-66B
    31-50C
    20-30D
    The mean score was 53 and the median was 55. Keep in mind that these letter grades are estimates only - only the numbers are used to compute your final grade.

    Final

    Practice Final

    Discussion Sections

    Section GSI Time Email Office Hours
    101 DIS Patrick Wilson MW 8-9A patrickfw@berkeley.edu Friday, 10-12am, Evans 1093
    102 DIS Patrick Wilson MW 9-10A patrickfw@berkeley.edu Friday, 10-12am, Evans 1093
    103 DIS Wolfgang Schmaltz MW 10-11A wschmaltz@berkeley.edu Wednesday,1-3pm, Evans 1041
    104 DIS Eugenia Rosu MW 11-12P rosu@math.berkeley.edu Monday, 1:40-2:30pm, Wednesday 5:10-6pm, Evans 1097
    105 DIS Eugenia Rosu MW 12-1P rosu@math.berkeley.edu Monday, 1:40-2:30pm, Wednesday 5:10-6pm, Evans 1097
    106 DIS Benjamin Filippenko MW 1-2P river@berkeley.edu Monday, 11am-1pm, Evans 935
    107 DIS Benjamin Filippenko MW 2-3P river@berkeley.edu Monday, 11am-1pm, Evans 935
    108 DIS Wolfgang Schmaltz MW 8-9A wschmaltz@berkeley.edu Wednesday,1-3pm, Evans 1041

    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 a few questions and will be graded on a coarse scale from 1 to 5. The worst two homework scores will be dropped and will not count towards the final grade

    Quizzes: There will be weekly quizzes given each Monday 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.