Math 32 : Precalculus

Spring 2018


  • Instructor: Thunwa (Nics) Theerakarn
  • Email:
  • Lectures: MWF 3-4p, 3 LeConte
  • Office Hours:
    • Nics: 1039 Evans, W 4-6p and by appointment
    • Katie: 864 Evans, M 12-2p
    • Chris: 1075 Evans, MW 2-3p
  • Discussion Sections:
    • 101: MW 10-11a 75 Evans. GSI: Katie Henderson ( )
    • 102: MW 11-12p 179 Stanley. GSI: Katie Henderson
    • 103: MW 12-1p 4 Evans. GSI: Chris Gerig ( )
    • 104: MW 1-2p 748 Evans. GSI: Chris Gerig
  • bCourses: I will use bCourses communicate and to post your exam scores. You may also have a bCourses site for the discussion section.
  • Paper Syllabus
  • Schedule

Announcements

  • There will be an extra office hours on Tuesday May 8, 2018 3-5p.
  • During the RRR week, there will be review sessions on Monday and Wednesday, Le Conte 3, 3-4p. There will be no class on Friday. Office hours W 4-6p.
  • On F Apr 27, you are required to take ALEKS final assessment. Due to a poor wifi reception in Le Conte 3, you can take the assessment from anywhere. Milly Farid will email you the access code at 3 pm and you should begin the assessment as soon as you receive the code. If you have technical questions, Milly will be available electronically at during the time.

    If you want to ask technical question in person or you need a place to do the assessment, you can come to room 740 Evans from 3-4p.

  • No office hours W Apr 25, 2018. There will be an extra office hours on Tu Apr 24, 4-6p.
  • No office hours W Mar 21, 2018. There will be an extra office hours on M Mar 19, 4.30-6p.
  • No office hours W Feb 21, 2018. There will be an extra office hours on Th Feb 22, 4-6p.
  • No office hours W Feb 7, 2018. There will be an extra office hours on F Feb 9, 2018. 4-6p.
  • There will be discussion sections on Wednesday, Jan 17.
  • Please bring a laptop to lecture on Friday, Jan 19, on which you can complete the online assessment. If you cannot bring a laptop or are unable to attend lecture, please email to make alternative arrangements.

Exams

Final

Wednesday May 9. Le Conte 3. 7-10p.

The final exam is cumulative. It will cover up to section 5.6 (except those that not included in M1 or M2.)

  • Practice Final (Solution)
  • Note: an earlier version of the practice final has a typo on the formula sheet. In the final exam, I will also include the definitions of arcsine, arccosine, and arctangent functions.
Midterm 2

Wednesday March 21, in-class. Midterm 2 will cover up to section 3.5. Ellipses and hyperbolas will NOT be included. You do not need to remember an approximation of any logarithm or exponential function. I will start distributing the exam at 3.05 pm and the exam will start at 3.10 pm.

A rough breakdown of the letter grades for the second midterm is as follows:

Score
Grade
37 - 50 A
27 - 36 B
19 - 26 C
< 18 D
The mean score was 30.5, the median was 31, and SD was 10.2. Keep in mind that these letter grades are estimates only - only the numbers are used to compute your final grade.

Midterm 1

Friday Feb 23, in-class. Midterm 1 will cover up to section 2.2. Ellipses and hyperbolas will NOT be included. I will start distributing the exam at 3.05 pm and the exam will start at 3.10 pm.

A rough breakdown of the letter grades for the first midterm is as follows:

Score
Grade
38 - 50 A
33 - 37 B
28 - 32 C
< 27 D
The mean score was 33.9 and the median was 34. Keep in mind that these letter grades are estimates only - only the numbers are used to compute your final grade.


Wolfram Alpha Pro

UC Berkeley students also get free access to Wolfram Alpha Pro. Go here to request an access.

Demos

To use the demos on a computer, you need to download a free CDF Player from Wolfram. On iOS devices, you can download Wolfram Player on the App Store. The app is free but there is a $10 In-App purchase to unlock interactive functionality.

If you want to look at or tweak the code, you need to download the full version of Mathematica. UC Berkeley student can send a request to download (free) here.

Homework

The homework assignment for each week will be posted here by Monday night. It will be due on the following Monday section (with some exceptions - please see schedule).

You are encouraged to discuss ideas with other students. However, you must write up your solution independently. Unless otherwise specified, show all work in logical steps.

Past Assignments
  • HW 1 (Due M Jan 29): Solution
    • 0.2 : 10, 14, 18, 24, 40, 50, 55, 60.
    • 0.3 : 6, 10, 16, 20, 24, 28, 36, 42, 46, 54, 58, 59, 61, 75, 76.
  • HW 2 (Due M Feb 5): Solution
    • 1.1 : 2, 8, 14, 20, 22, 23, 25, 34, 36, 40, 47-54, 55, 59, 61, 66, 70.
    • 1.2 : 18, 22, 25, 27, 51, 52.
    • 1.3 : 20, 24, 26, 30, 38, 44, 48, 58, 60, 71.
  • HW 3 (Due M Feb 12): Solution
    • 1.4 : 2, 8, 10, 21, 27, 33, 35, 37, 39, 51.
    • 1.5 : 2, 6, 10, 17, 31, 33, 39.
    • 1.6 : 16, 18, 20, 22, 24, 26, 28, 30, 32, 34, 36, 38.
    • 2.1 : 11, 13, 57, 58.
  • HW 4 (Due W Feb 21): Solution
    • 2.1 : 9, 18, 27, 29, 35, 37, 39.
    • 2.2 : 15, 19, 23, 25, 27, 33, 37, 46, 48, 55, 62, 63, 74, 77, 81.
  • HW 5 (Due M Mar 5): Solution
    • 2.4 : 2, 6, 13, 19, 27, 29, 33, 43, 48, 49, 66.
    • 2.3 : 8, 10, 11, 17, 20, 26, 27, 36, 67, 79, 83, 128, 142.
    • 3.1 : 1, 2, 7.
  • HW 6 (Due M Mar 12): Solution
    • 3.4: 19, 21, 27, 31.
    • 3.1: 10, 12, 14, 16, 26, 28, 29, 30, 32, 33, 44, 53, 55, 64, 71, 73, 77, 82, 91.
    • 3.5: 7, 10, 11, 37, 39, 41.
  • HW 7 (Due M Mar 19): Solution
    • 3.2: 1, 4, 5, 8, 9, 13, 29, 33, 45. (Table of half-life is on page 237)
    • 3.3: 1, 3, 5, 14, 16, 18, 24, 26, 27, 31, 33, 59, 74.
    • 3.5: 13, 15.
    • 3.4: 7, 13, 15.
  • HW 8 (Due W Apr 4): Solution
  • HW 9 (Due M Apr 9): Solution
    • 4.3: 2, 4, 12, 14, 22, 27, 36.
    • 4.4: 7, 8, 12, 13, 16, 20, 32, 34, 36, 38, 40.
  • HW 10 (Due M Apr 16): Solution
    • 4.5: 2, 14, 16.
    • 4.6: 7, 11, 18, 25, 28, 39, 41, 42, 46, 48, 52, 56, 58, 60, 62, 64, 66.
    • 5.1: 1, 2, 3, 4, 5, 53, 54, 55, 56, 59.
  • HW 11 (Due M Apr 23): Solution
    • 5.2: 2, 5, 7, 8, 11, 12, 19, 21, 23, 25, 27, 32, 34, 36, 38.
    • 5.3: 8, 16, 20, 25, 27, 29, 31, 33, 35.
    • Note: The solution in textbook for 5.2: 19 is incorrect.
  • HW 12 (Not due): Solution
    • 5.4: 3, 5, 11, 13, 15, 17, 19, 21, 23, 30, 31, 32, 34.
    • 5.5: 11, 13, 15, 17, 19, 21, 23, 25, 59, 74.
    • 5.6: 13, 15, 17, 19, 21, 23, 29, 31.

Textbook

Precalculus: A Prelude to Calculus, Third Edition, by Sheldon Axler. ISBN 9781119389491. Berkeley has arranged a custom edition of the text, which is available at the Campus Bookstore. The content in the custom edition is identical to that in the third edition available on the publisher website.

The Mathematics Statistics Library at Evans Hall also has the textbook on reserved. The library has the 2nd edition on reserved.


ALEKS

This is an online learning resource designed to help you assess your mathematical knowledge, identify gaps in that knowledge, and work in learning modules that offer individualized, self-paced online review of prerequisite topics. In this course, you will:

  1. Take an initial assessment during the second lecture of the course (on Friday);
  2. Work in the online learning modules, as needed, during the semester;
  3. Take a final assessment on Friday April 27.

Taking the initial and final assessments is required. The results of the assessments will not affect your grade, but participation in the assessments will count as 5% of your final grade. Working in the online modules is not required, but strongly encouraged, as it will help you master topics necessary to do well in this course.

For more information, please see the documentation. If you have questions, please contact Milly Farid at


Grading and Course Policy

Grading:

Option 1
Option 2
Homework 5% Homework 5%
ALEKS 5% ALEKS 5%
Quizzes 15% Final 90%
Midterm 1 20%
Midterm 2 20%
Final 35%

The grades of quizzes will be curved to account for differences in the difficulty of grading standards across sections. For the total score, individual exams will not be curved.

The grading will be on a curve. A letter grade will be computed for both options. The better grade will be your final grade. If you are absent from a midterm (without my permission), your final grade will be computed using Option 1 only.

Homework: The weekly homework and due dates will be posted on the course website. Homework is due in the discussion section. Late homework will not be accepted. Homework will be graded for completion. Two (2) lowest homework scores will be dropped.

You are encouraged to discuss ideas with other students. However, you must write up your solution independently. Unless otherwise specified, show all work in logical steps.

Quizzes: There will be quizzes given in the discussion section. There will be no make-up quizzes. Two (2) lowest quiz scores will be dropped. See quiz dates on the schedule.

Exams: There will be two in-class midterm exams and a final. There will be no make-up exams. Exceptions will be granted on a case by case basis for participations in official university activities, or for unusual circumstances beyond a student’s control, such as significant illness documented by a physician or conflict with a religious holiday. Permission for any absences from exams must be obtained by the second week of classes. Students who have not kept up fully with coursework are not eligible for exceptions.

All exams are cumulative. All exams are closed book. You cannot bring textbooks, notes, or calculators.

ALEKS: Taking the initial and final assessments is required. The results of the assessments will not affect your grade, but participation in the assessments will count as 5% of your final grade. Working in the online modules is not required, but strongly encouraged, as it will help you master topics necessary to do well in this course.

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.

Disabilities: If you need accommodations during the exams, please provide the document and make arrangements via email or office hours at least 2 weeks prior the exams. Please see your GSI as soon as possible to make arrangements for the homework/quizzes.

Academic Honesty Policy: I will strictly follow all University and Department of Mathematics academic Honesty Policies. Any evidence of cheating on an exam will result in a score of zero (0). Cheating on the final exam results in an “F” for the course. Cheating includes but is not limited to bringing notes or written or electronic materials into an exam or quiz, copying off another person’s exam or quiz, allowing someone to copy off of your exam or quiz, and having someone take an exam or quiz for you. Incidences of cheating will be reported to Student Judicial Affairs, which may administer additional punishment.


Schedule

The lecture schedule is approximate and may be subject to change. Homework and quiz dates may also be subject to change. The exam dates will not change.

Date Lecture Topic Homework and Quiz
W Jan 17 Introduction and 0.1 - The Real Line
F Jan 19 ALEKS : Initial Assessment
M Jan 22 0.2 - Algebra of Real Numbers
W Jan 24 0.3 - Inequalities, Intervals, and Absolute Value
F Jan 26 1.1 - Functions
M Jan 29 1.2 - The Coordinate Plane and Graphs HW 1 due. Quiz 1
W Jan 31 1.3 - Function Transformations and Graphs
F Feb 2 1.4 - Composition of Functions
M Feb 5 1.5 - Inverse Functions HW 2 due. Quiz 2
W Feb 7 1.6 - A Graphical Approach to Inverse Functions
F Feb 9 2.1 - Linear Functions and Lines
M Feb 12 2.2 - Quadratic Functions and Parabolas HW 3 due. Quiz 3
W Feb 14 2.2 - Quadratic Functions and Parabolas (Continued)
F Feb 16 2.4 - Polynomial Functions
M Feb 19 No class. (Presidents' Day)
W Feb 21 Midterm 1 Review HW 4 due.
F Feb 23
Midterm 1. (Up to 2.2)
M Feb 26 2.4 - Polynomial Functions (Continued)
W Feb 28 2.3 - Rational Exponents , 3.1 - Exponential Functions
F Mar 2 3.1 - Exponential Functions. 3.5 - e.
M Mar 5 3.1 - Logarithms. 3.5 - Natural Logarithm. HW 5 due. Quiz 4
W Mar 7 3.2 - The Power Rule for Logarithms.
F Mar 9 3.3 - The Product Rule and Quotient Rule for Logarithms
M Mar 12 3.4 - Exponential Growth. 3.6 - Approximations of e and ln. HW 6 due. Quiz 5
W Pi Day 4.1 - The Unit Circle. 4.2 Radians.
F Mar 16 4.3 - Cosine and Sine
M Mar 19 Midterm 2 Review HW 7 due.
W Mar 21
Midterm 2
F Mar 23 Pascal's triangle and Binomial Theorem. (Not on exams).
M Mar 26
No class
W Mar 28
F Mar 30
M Apr 2 Review 4.1 - 4.2. 4.3 Cosine and Sine (continue)
W Apr 4 4.4 More Trigonometric Functions. 4.5 Trigonometry in Right Triangles. HW 8 due.
F Apr 6 4.6 Trigonometric Identities.
M Apr 9 5.1 Inverse Trigonometric Functions HW 9 due. Quiz 6
W Apr 11 5.2 Inverse Trigonometric Identities
F Apr 13 5.3 Using Trigonometry to Compute Area
M Apr 16 5.3 Using Trigonometry to Compute Area (continued) HW 10 due. Quiz 7
W Apr 18 5.4 The Law of Sines
F Apr 20 5.4 The Law of Cosines
M Apr 23 5.5 Double-Angle and Half-Angle Formulas HW 11 due. Quiz 8
W Apr 25 5.6 Addition and Subtraction Formulas.
F Apr 27 ALEKS: Final Assessment
M Apr 30 Review
W May 2 Review
F May 4 No class.
W May 9
Final Exam: 7-10p. Room: Le Conte 3

Resources

  • This is the exam archive (from the department website) for Math 32.
  • Student Learning Center (SLC) provides drop-in services for students in Math 32. For more information, visit SLC Website.

Enrollment

You must sign up for both the lecture and one of the discussion sections. I do not have a control over the enrollment. Please follow the department's Enrollment Guidelines or contact Thomas Brown for special circumstances.