MATHEMATICS 1060 (Spring 2015)
Trigonometry (3 units)
8:35 AM - 9:25 AM
HEB 2006
Instructor: Tony Lam; office JWB 107; e-mail address: lam@math.utah.edu;
web: www.math.utah.edu/∼lam/1060/1060.html
Office Hours: Tuesday noon and Thursday noon or by appointment.
Textbook: Larson, Precalculus, 9th edition. We will use all of chapters 4, 5, and 6 and sections 10.7
and 10.8. This text is offered as an e-book when students sign up for Enhanced WebAssign. This text
may be purchased physically, but a WebAssign online homework is required for the course.
On-line access: Access to WebAssign is required to complete homework.
Devices: Calculators are not required and will not be permitted on in-class quizzes or exams. During
in-class quizzes and exams, all devices must be powered off. Please be courteous at other times.
Prerequisites: One of the following: (1) ”C” or better in (MATH 1010 OR MATH 1050 OR MATH
1080) or (2) Accuplacer CLM score of 60 or better or (3) ACT Math score of 23 or better or (4) SAT
Math score of 540 or better. This course satisfies the ”QA” Quantative Reasoning (Math) requirement.
Course Objectives: This course includes the study of trigonometric functions, inverses, equations,
and trigonometric identities. The course includes applications and an introduction to vectors. The
study of these topics are necessary for calculus (Math 1210, etc).
By the end of the course, the student will be able
to:
• Express angles in radian measure and degree
measure.
• Use angular velocity and linear velocity.
• Solve right triangles and non-right triangles
for sides and angles when given certain information.
• Verify trigonometric identities and use the
identities to simplify expressions or solve
equations.
• Solve a variety of trigonometric equations.
• Represent trigonometric functions verbally,
numerically, graphically, and symbolically.
These may use triangles and the unit circle.
• Sketch trigonometric functions with graph
transformations: reflections, scaling, shifts,
and changes in periodicity.
• Analyze trigonometric functions.
The
language of functions describes domains,
ranges, periods, intercepts, asymptotes, and
even, or odd, symmetry.
• Use inverse functions to solve a variety of
equations.
• Use operations of vectors: addition, subtraction, scalar multiplication, and the dot product.
• Represent vectors geometrically.
• Use advanced operations of complex numbers via DeMoivre’s theorem: roots and
powers.
• Graph complex numbers in a plane.
• Convert between systems of variables: rectangular coordinates (i.e. (x, y)) and polar
coordinates (i.e. (r, θ)).
Tips : For every hour of lecture, the university requires/suggests that you invest 2 to 3 hours of
additional work (every week). For this 3 credit hour class, it means that you need to put in 6 to 9
hours of outside class time on a weekly basis. Here are suggestions to help you focus on how to budget
time:
1)
2)
3)
4)
5)
Read the calendar and prepare for upcoming topics. Read the sections before class.
Review your notes after each lesson and before the next lesson.
Work through examples in the text.
Prepare a regular schedule and maintain it. Adjust its length as needed.
Contact me immediately when problems arise.
Tutoring: The T. Benny Rushing Math Center offers free drop-in tutoring, a computer lab, and
study areas for undergraduates. The rooms are in the basement of LCB and JWB.
The hours for the spring semester are 8 am to 8 pm Monday-Thursday and 8 am to 6 pm on Friday.
The tutoring center will open January 20.
Americans With Disabilites Act: The Americans with Disabilites Act requires that reasonable
accomodations be provided for students with physical, cognitive, systemic learning, and psychiatric
disabilities. Please contact me at the beginning of the semester to discuss any such accommodations
that you may require for this course.
Homework: Homework will be on-line. No late homework is allowed.
Quizzes: 5 minute quizzes will be given at the start of class every Friday with the exception of
February 13 and April 10. Each quiz is scored as a percentage. At the end of the course, all but the
lowest score are averaged. The lowest score is dropped.
Exams: 50 minute exams will be given on the following dates:
Wednesday, February 11
Monday, March 9
Friday, April 10
You MUST bring a valid ID to any quiz or exam. No retakes are allowed.
Final Exam: Thursday, April 30, 8:00 AM to 10:00 AM
The exam will be cumulative. Early or late finals will not be given.
Grading Policy: Your grade is
Homework
Exam
Quiz
Final Exam
based on:
15% Total
45% Total
15% Total
25%
Your grade will be determined by the following scale:
A+: 100 - 97; A: 96-93, A-: 92-90; B+: 89-87; B: 86-83; B-: 82-80; C+: 79-77; C: 76-73; C-: 72-70;
D+: 69-67; D: 66-63; D-: 62-60; E: 59-50; F: 49 and below.
A course grade of ”C” or higher is required to enroll in Math 1210 - Calculus 1.
Important Dates:
January 19 - Last day to add without a permission code.
January 21 - Last day to drop classes.
January 26 - Last day to add, elect CR/NC, or audit classes.
March 6 - Last day to withdraw from classes.
April 24 - Last day to reverse CR/NC option.
February 11 - Exam 1: Chapter 4
March 9 - Exam 2: Chapter 5
April 10 - Exam 3: Chapter 6
April 30 - Final Exam: Comprehensive 8:00 AM to 10:00 AM