Department of Mathematics and Statistics

University of Massachusetts at Amherst

 

Math 102 - Analytic Geometry and Trigonometry

Spring 2017 Syllabus

 

 

Instructor: Arline Norkin

Office:  Lederle Graduate Research Tower (LGRT) 1119- Go to the 11th floor - then straight ahead.

Mailbox:  LGRT 1623B

Email:  norkin@math.umass.edu

Textbook:   Robert Blitzer, Algebra and Trigonometry, 5th Edition.

Course ID: norkin88583

Office Hours:  Tu 3:45-5:00, Th 1:15-2:30, or by appointment

 

Course Description:  Math102 is a one-semester, 2-credit course. It is the second semester of the two-semester sequence Math 101-102. We will cover one to one and inverse functions, exponential functions, logarithmic functions, conic sections and that portion of trigonometry needed for calculus. Prerequisites are: Math 101 or Placement Exam Part A score above 15. The Math 101-102 sequence satisfies the R1 (Basic Math Skills) general education requirement for graduation.

 

Registration for My Math Lab (MML): You must register for MML.  If you have previously purchased MML for math 101 (that used same book as we will be using), you will not need to repurchase.  If that is not the case, you will need to purchase access.  To do so, you will need the course ID which is   norkin88583. You should do this immediately, as there will a homework assignment given at the first class. If you have any problem with registration, please contact MML. Link is https://support.pearson.com/getsupport    Note that you can get a temporary account for the course if you are not sure if you are going to stick with it.

 

Homework/Calculators:   Homework will be assigned through MML.  Assignments will be given on most days we have class.  They will most often be due on the following Tuesday.  Late homework will be accepted up to the date of the next exam, however, you will incur a 30% penalty on the work (and only that work) submitted after the deadline.  You will need a calculator to do the assignments.

 

Textbook:  You do not have to buy a hard copy of the textbook if you do not want to.  You will have access to all course material through My Math Lab.


Extra Help:  There is a Pre-Calculus Help Center in LGRT 146.  Please take advantage of this free, helpful resource if you are having difficulty with the material. Use this resource early and often---do not fall behind!  The help center schedule should be available shortly after the semester begins.

 

Attendance:  Attendance is not mandatory, but it is strongly recommended. Although much of the material is available on MML, it does not replace coming to class. There is greater discussion of the material, more practice examples, and opportunities for asking questions. Additionally, you will need to attend class to be eligible for bonus points. 

 

 

 

 

 

Disruptive Behavior: In order to provide a distraction free learning environment for all students, cell phones, ear phones, newspapers, food and private conversations are not welcome in class. Students who exhibit disruptive behavior will be asked to leave.


Exams: There will be two midterm exams (given in class) and one final exam.  All exams will be in multiple choice format. Calculators will not be allowed on any exam.  The cumulative final exam for our class is scheduled for Monday, May 8 from 3:30-5:30 pm.  You will not be able to take the test early; do not make any travel plans that conflict with the scheduled exam! You will need to bring a #2 pencil and a Umass student ID card to each exam.

Make-up Exam Policy: If you have a legitimate scheduling conflict with any of the exams, (e.g. multiple exams at the same exact time, medical problems, emergency absences, religious observances, participation in a University event), it is your responsibility to notify me of the conflict as soon as you become aware of it. The final decision regarding allowing a make-up exam is mine, subject to University regulations, of course. Please note that previously arranged travel plans are not a valid reason to be given a make-up exam.

Grading: Your grade will be calculated based on:
  Homework - 30%
  Two midterms - 20% each
  Final exam - 30%

 

Letter grades will be calculated as follows, where x is your percentage weighted average:

 

x≥90

A

86.5≤x<90

A-

82.5≤x<86.5

B+

78.5≤x<82.5

B

74.5≤x<78.5

B-

70.5≤x<74.5

C+

66.5≤x<70.5

C

62.5≤x<66.5

C-

58.5≤x<62.5

D+

54.5≤x<58.5

D

<54.5

F

 

 

 

 

 

 

Bonus Points:  During each lecture meeting, there will be a problem for students to work on to practice thinking about the material. Credit will be earned based on your effort, not necessarily the correct answer. One point will be awarded for reasonable effort; little effort gets no credit. These will be collected (so make sure to bring blank paper to each class), but not returned. These exercises cannot be made up.

 

At the end of the semester, I will divide your score by the total number of points available. If you have an average of at least 90%, you will get 3 points added to your weighted average, 75% to 90% gets you 2  points, and 60%-75% gets you 1 point. Less than 60% receives no points. Please take advantage of this opportunity to boost your course grade.   


Academic Honesty: Cheating will not be tolerated, and violations will be reported to appropriate University administration.  Cheating is when you submit work that is not your own or when you help others to do so.

Disability Services: If you feel you may be eligible for special accommodation, please contact Disability Services.  If you already have an accommodation plan, you need to renew it with Disability Services EACH semester. You will be asked to provide documentation from the DS Office. Exams must be taken at the Disability Services testing location. You MUST sign up with DS to take EACH exam at least one week before the date of the exam.

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

                                

 

 

                                      Tentative Course Schedule

Week

Class Dates

Sections

1

  1/24     1/26

1.5, 3.1 - Quadratic Equations and Functions

2.1, 2.6, 2.7 -Algebra of Functions, Composite Functions,  1 to 1 Functions, Start inverse functions

2

1/31    2/2

 2.7- Inverse Functions- cont.

4.1 -Exponential functions, graphing and characteristics of exponential functions, 4.4- solving exponential equations when the two bases are the same.

3

2/7       2/9

4.2 - What a logarithm is, logarithm notation, translating between logarithm and exponent notation. Graphs of log functions.

4.3 Properties of Logarithms

  4

2/14     2/16

4.4 Solving Log and Exponential Equations

Finish 4.4, Start review for exam 1

5

             2/21      2/23

Review for exam 1

Exam 1- 2/23

6

             2/28      3/2

2.8-- Circles

 

            7

 

                                                               

3/7       3/9

5.1 - Angles, central angles of circles, radians, converting between radians and degrees, finding angles in circles, arc lengths, coterminal angles.

 

                                 SPRING

BREAK

8

3/21      3/23

5.2 -Right triangle trigonometry, deriving 30-60 and 45-45 right triangle ratios, fundamental identities.

9

3/28       3/30

5.3 - Trig functions of other angles, finding reference angles and using them to evaluate trig functions, identifying quadrants based on the sign of the ratio.

10

4/4       4/6

5.4 -Trig functions of real numbers.  Quadrantal angles, domain and range of sine and cosine functions, periodic functions, odd and even functions.

Start review for exam 2

11

4/11       4/13

Review for exam 2

Exam 2- 4/13

12

               4/20

5.5 -Graphs of sine and cosine functions, identify domain, range, amplitude, and period of sine and cosine.

5.6 - Graphs of secant, cosecant, tangent, and cotangent functions and determine when they are undefined.

13

4/25      4/27

5.7 - Inverse Trig Functions

 

14

5/2

Review for Final Exam

Final Exam -  Monday, May 8, 3:30 - 5:30, Room: TBA