Mathematics 113. Trigonometry

Number of credits:3 credits
Instructor Eugenia Malitsky
Office: B127 Van Vleck
Email: malitsky@math.wisc.edu
Web page: http://www.math.wisc.edu/~malitsky

Office Hours: TuTh 12:40PM-2:00PM, or by appointment.

Textbook: Trigonometry, 11th edition, by Lial, Hornsby, Schneider, and Daniels


Homework: weekly homework. Homework will not be collected.

Required Student Material:
1. We will use an eTextbook. The eText is accesible via the Canvas course site.
I recommend that you also get a print version of the textbook.

2. Non-graphing calculator.

Exams: There will be three in-class midterm exams and a final exam. No "make-up" exams. The lowest midterm exam will be dropped at the end of the semester. Calculators are not allowed on the exams.

The dates of midterm exams:
We will have three midterm exams in lecture on Thursday February 13, Thursday March 12, and Thursday April 16.

Final exam:
Tuesday, May 5, 5:05PM-7:05PM
The final exam is cumulative.
By registering in this class you agree to be present at the final exam on this date and time.

Old exams can be found at
https://uwmadison.app.box.com/math113

Grading:
The final grade will be determined by the midterm exams (90 points each) and your final grade (120 points). Thus the maximum number of points you can earn is 300.

Making the most of your Math class:

Getting Help:

If you are having difficulty, first talk to me. If you cannot come to the scheduled office hours, make an appointment to see me at a different time. Here are some other places you can get help:

Math Tutorial Program:
Free small group tutoring is offered to students who are in danger of getting a D or F, who have not had a math course in several years, who are retaking the course, or are struggling and want to improve their grade.
Any student can apply to the program. To apply contact Frank Rooney (320 Van Vleck) or go to
https://www.math.wisc.edu/undergraduate/tprogram


Math Lab:

Math Lab is an especially good place to go if you need help with the homework or when studying for the exams.

Location:  B227 Van Vleck Hall
Hours: Monday through Thursday, 3:30 - 8:30 pm, and Sunday 3:30 - 6:50 pm.
Dates: starting the second week of classes (usually), through the end of the semester.
Cost: Free.


  Private Tutoring:
Mathematics Department publishes a list of Mathematics graduate students who are willing to tutor students; copies are available on the second floor of Van Vleck Hall, next to the elevators.

Location: Varies; many tutors will meet in Van Vleck Hall: some will meet off-campus.
Cost: Fees vary from tutor to tutor; typical costs are $30 to $40 per hour.

LEARNING OUTCOMES
We expect that after taking the course a student:
Can do various problems involving angles (e.g. problems with vertical and corresponding angles), angles in a triangle, and similar triangles.
Knows how to use Distance Formula. Can write equation of a circle with given center and radius.
Knows the definitions, domains, ranges, and properties of trigonometric functions.
Knows how to use trigonometry to solve right triangles.
Knows the definition of the unit circle. Knows the definition of radian measure, and the motivation behind it. Can convert from degrees to radians, and from radians to degrees. Understands the relationship between circular functions and trigonometric functions of an angle in degrees and radians. Knows how to compute the length of an arc and the area of a sector in a circle.
Can solve circular motion problems.
Knows graphs of key trigonometric functions. Knows how to use symmetry, x- and y-intercepts, asymptotes, function transformations, the concepts of amplitude, period, and phase shift to graph a trigonometric function.
Can solve simple harmonic motion problems.
Comfortable working with trigonometric identities. Understands what it means to verify an identity. Knows how to use trigonometric identities, factoring formulas and other basic techniques to simplify an expression or to verify an identity. We do not require memorizing trigonometric identities, and provide a table of trigonometric identities on the third midterm and final exams.
Knows definitions of one-to-one and inverse functions. Can determine whether the given function is one-to-one from its graph ( i.e. Horizontal Line test). Understands that an inverse of an increasing (decreasing) function is also an increasing (decreasing) function. Understands that the graphs of inverse functions are symmetrical about the line y = x.
Understands the concept of a restricted domain. Knows definitions, domains, ranges, and graphs of inverse trigonometric functions. Can write a composition of a trigonometric function and an inverse trigonometric function as an algebraic expression.
Knows factoring formulas and other basic techniques for solving algebraic equations. Can apply them to solve trigonometric equations.
Understands Congruence Axioms. Knows the Law of Sines and the Law of Cosines. Knows how to use the Law of Sines and the Law of Cosines to solve oblique triangles. Can determine what formula to use to find the area of a triangle depending on the given data.
Knows how trigonometry is used in various applications in science and engineering, for example in navigation and surveying of land.

ACADEMIC INTEGRITY

By enrolling in this course, each student assumes the responsibilities of an active participant in UW-Madison’s community of scholars in which everyone’s academic work and behavior are held to the highest academic integrity standards.
Academic misconduct compromises the integrity of the university. Cheating, fabrication, plagiarism, unauthorized collaboration, and helping others commit these acts are examples of academic misconduct, which can result in disciplinary action. This includes but is not limited to failure on the assignment/course, disciplinary probation, or suspension. Substantial or repeated cases of misconduct will be forwarded to the Office of Student Conduct & Community Standards for additional review. For more information, refer to https://conduct.students.wisc.edu/academic-integrity/.

ACCOMMODATIONS FOR STUDENTS WITH DISABILITIES

McBurney Disability Resource Center syllabus statement: “The University of Wisconsin-Madison supports the right of all enrolled students to a full and equal educational opportunity.
The Americans with Disabilities Act (ADA), Wisconsin State Statute (36.12), and UW-Madison policy (Faculty Document 1071) require that students with disabilities be reasonably accommodated in instruction and campus life.
Reasonable accommodations for students with disabilities is a shared faculty and student responsibility. Students are expected to inform faculty [me] of their need for instructional accommodations by the end of the third week of the semester, or as soon as possible after a disability has been incurred or recognized. Faculty [I], will work either directly with the student [you] or in coordination with the McBurney Center to identify and provide reasonable instructional accommodations. Disability information, including instructional accommodations as part of a student's educational record, is confidential and protected under FERPA.” http://mcburney.wisc.edu/facstaffother/faculty/syllabus.php

DIVERSITY & INCLUSION

Institutional statement on diversity: “Diversity is a source of strength, creativity, and innovation for UW-Madison. We value the contributions of each person and respect the profound ways their identity, culture, background, experience, status, abilities, and opinion enrich the university community.
We commit ourselves to the pursuit of excellence in teaching, research, outreach, and diversity as inextricably linked goals. The University of Wisconsin-Madison fulfills its public mission by creating a welcoming and inclusive community for people from every background – people who as students, faculty, and staff serve Wisconsin and the world.” https://diversity.wisc.edu/