Course Syllabus

Office Hours: Tuesday, 11:00 – 12:00, my office , first floor.

Phone: +355 445 12345



Catalog Description


The course is intended for undergraduate students majoring in Computer Science, Information Systems, Finance, Accounting, and Economics. This course is a calculus preparatory course with emphasis upon trigonometric functions. The topics include angular measure, right triangle and unit circle trigonometry, trigonometric (circular) and inverse trigonometric functions and their graphs, trigonometric identities, conditional trigonometric equations. The use of graphing calculators will be incorporated throughout the course. This course partially satisfies the mathematics requirement Calculus I.


Prerequisite:  None


Course Purpose


It emphasizes the conceptual understanding, quantitative reasoning, and contemporary applications by maintaining a dynamic balance among theory, applications, modeling, and drill. Students work to develop a deeper understanding of a range of trigonometry topics using interactive math tutorials that allow the student to solve math problems interactively. The students will determine trigonometric values, calculate the transformations of trigonometric functions and graph them. Furthermore, the students will utilize a, apply the trigonometric identities as well as solve problems.


Required Readings:


Main textbook: Aufman, and Barker, and Nation (2011), College Algebra and Trigonometry, seventh international edition, Brooks/Cole Cengage Learning, Canada.

Additional textbooks:  Trigonometry: graphs and models, 2nd ed. Bittinger, Beecher, Ellenbogen, Penna. Copyright 2001, Addison Wesley Longman, Inc.

Course Objectives

Upon completion of this course, students should be able to:

  1. Recognize and evaluate trigonometric functions of acute angles.
  2. Solve right triangles and application problems involving right triangles.
  3. Use the definitions of trigonometric functions to evaluate trigonometric functions of any angle and any real number.
  4. Graph and interpret the graphs of the six trigonometric functions and transformations of these functions.
  5. Graph and interpret the graphs of y = A sin (Bx + C) + D and y = A cos (Bx + C) + D.
  6. Graph and interpret the graphs of combinations of trigonometric functions and combinations of trigonometric functions with algebraic functions.
  7. Use the six trigonometric functions to solve harmonic motion and other application problems.
  8. Graph and interpret the graphs of the six inverse trigonometric functions.
  9. Evaluate expressions and solve equations involving inverse trigonometric functions.
  10. Prove trigonometric identities.
  11. Use trigonometric identities to evaluate trigonometric expressions and to solve related problems.
  12. Solve trigonometric equations in general and over a specified domain.



Content of the Course


  • Angles and arcs
  • Trigonometric functions and acute angles
  • Trigonometric functions and any angles
  • The wrapping function
  • Graphs of the fundamental trigonometric functions
  • Verification of trigonometric identities
  • Sum, difference, and cofunction identities
  • Double – and half – angle identities
  • Identities involving the sum of trigonometric functions
  • Inverse trigonometric functions
  • Trigonometric equations.



Course Requirements


Participation: Participation extends beyond mere attendance. Active participation is meant as the effort and the interest that a student shows in the class, including homework. After each session students are expected to study all the relevant material, read all the associated exercises, identify the difficult points and pose their questions in the next session either directly to me or in the class. You may miss up to three classes without penalty – your first two absences count whether you have a good excuse or not. Each absence beyond the first three will cost you points off of your participation grade. The only exceptions to this rule are severe illness (doctor’s note required) and UNYT approved trips/activities. Appropriate documentation for absences beyond the first three is necessary the class day directly before or after the one you miss. You are expected to attend class and I do keep attendance records. In general: this class is intensive and interactive. Missing class could seriously affect your grade! Students who are absent more than 20% of the total hours of the semester (i.e. 3 hours) may be required to withdraw from the course.

Class conduct: Exams are closed books. Also, you use your own calculator and nothing else will be allowed. Mobile phones are strictly not tolerated in the class for any use (including computations). Cheating and plagiarism in any form will result immediately in the grade F.

Students are reminded not to approach the instructor for copies of the previous week’s materials during, or immediately after class. Students are expected to collect materials from their classmates or see the instructor during the office hours.

Students are responsible for everything that is announced, presented or discussed in class. The way to avoid any misunderstanding associated with this course is to attend class. Please, be courteous during class; both to me and your colleagues. I find late arrivals distracting, which cause a decline in the quality of my lecture. Importantly, it is also disruptive to your colleagues. Please, refrain from talking during class; it is disruptive to your colleagues and the lecture. I expect the best behavior from all of you. This is what education is all about. Please, consider that the language of instruction is English, so all our conversation into the class must be in this language.


Exams: Two examinations will be taken, a midterm exam during week seven of the course and a final exam covering all course content during the final examination period. Exam format may combine a mixture of short answer, true/false, matching, sort answer, and reasoning problems covering all readings, lecture, hand-out and class discussion content. Another test will be included in the period between the midterm and final exam.


Final Examination: Tuesday 02 February 2016, Time: 13:00 -14:00. 




General Requirements

Deadlines in submitting the homework are critical. Therefore, late assignments and absence from tests will not be tolerated.   In the event of illness or emergency, contact your instructor IN ADVANCE to determine whether special arrangements are possible. The University’s rules on academic dishonesty (e.g. cheating, plagiarism, submitting false information) will be strictly enforced. Please familiarize yourself with the STUDENT HONOUR CODE, or ask me or your advisor for clarification.


Criteria for Determination of Grade


Active Participation 10%
Homework 10%
Midterm exam  20%
Test 20%
Final exam 40%


Grading scale follows the official UNYT as below:


Letter Grade Percent (%) Generally Accepted Meaning
           A 96-100 Outstanding work
           A- 90-95
           B+ 87-89 Good work, distinctly above average
           B 83-86
           B- 80-82
           C+ 77-79 Acceptable work
           C 73-76
           C- 70-72
           D+ 67-69 Work that is significantly below average
           D 63-66
           D- 60-62
           F 0-59 Work that does not meet minimum standards for passing the course



Technology Expectations: usage of power-point, excel, word.  Students must keep copies of all assignments and projects sent by e-mail.

Assignments are to be word-processed and converted into pdf files. Continuing and regular use of e-mail is expected.



STUDENTS: If you feel that you have encountered special learning difficulties or serious problems that interfere with your studies, please make an appointment with UNYT Counseling Center, Dr. E Cenko ( and/or the Academic Support Center, Dr. A Canollari ( They are trained to help students with learning difficulties and have offered to provide this service to our students, just as it is offered in all American universities; you can also discus with your academic advisor.

If you need help with course content, please refer to the Math Center. Please feel free to talk to me for additional information.



                                    GOOD LUCK!

Date Prepared: October 2, 2015

Prepared by Dr. Emira Smokthina




Faculty: Business &Economics.

Department: Maths & N.Sciences.

Grade: Undergraduate.

Majors: Business and Computer Sciences.

Study Fileds: Accounting, Computer Science, Economics, and Management of Information Systems.

Course Year: 1.

Course Program: UNYT.

Scheduele: THU 13-14:00

Instructor: Dr. Emira Smokthina