MAT 125 — Fundamentals of Precalculus II — Fall 2018 Syllabus

This Section

Course Registration Number (CRN): 91475

Term: Fall 2018


Name Alexander Kasiukov
Office Health, Science and Education Center, Room A-109
Email (preferred mode of communication)
Phone (631) 851-6484
Web Site
Office Hours
monday, 11:20 a.m.–1:20 p.m. (Health, Science and Education Center, Room A-109)
tuesday, 1:20 p.m.–1:50 p.m. (Health, Science and Education Center, Room A-109)
wednesday, 11:20 a.m.–1:20 p.m. (Health, Science and Education Center, Room A-109)
thursday, 1:20 p.m.–1:50 p.m. (Health, Science and Education Center, Room A-109)


Regular Meetings
monday, 3:30 p.m.–5:10 p.m. (Health, Science and Education Center, Room A-223)
wednesday, 3:30 p.m.–5:10 p.m. (Health, Science and Education Center, Room A-223)
Final Exam Date December 17, 2018
This date may be changed due to class cancellations.
Last Meeting of Class December 19, 2018
This date may be changed due to class cancellations.

Course Information

Course Stats

Title Fundamentals of Precalculus II
Catalog Code MAT 125
Credit Hours 4
Contact Hours 4
Prerequisites MAT 124 (Fundamentals of Precalculus I), or equivalent
Grades A, B+, B, C+, C, D+, D, F (failed), W (withdrawal)

Students who stop attending the class will receive the grade F by default. The W grade must be discussed with the instructor before the date of the final exam.

Catalog Description

Concept of function used throughout course. Topics include trigonometric functions and inverses, identities and equations, laws of sines and cosines, De Moivre's Theorem and complex numbers, polar and parametric equations, systems of linear equations and inequalities, partial fractions and the conics.

Learning Objectives

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

  • understand the trigonometric functions, their graphs, and their inverses;
  • verify trigonometric identities;
  • solve trigonometric equations and the general triangle, and find the area of a triangle;
  • write and do basic computations with complex numbers in both rectangular and trigonometric form including the use of DeMoivre's Theorem and the $n$-th root theorem;
  • analyze, compare and graph polar functions, conic sections and parametric equations;
  • solve problems involving both linear and nonlinear systems of equations and inequalities;
  • express and analyze both arithmetic and geometric sequences and series (optional);
  • use the principle of mathematical induction to prove identities involving summations, including the binomial theorem (optional);
  • use a graphing calculator to perform computations and to graph a variety of functions.


  1. Review Topics:
    1. Pythagorean Theorem
    2. angle measurement
    3. right triangle trigonometry
  2. Trigonometric Identities and Equations
    1. reciprocal relationships, Pythagorean relationships
    2. trigonometric identities
    3. sum and difference formulas
    4. trigonometric equations
  3. Applications of Trigonometry
    1. laws of sine and cosine
    2. solving the general triangle
    3. the area of a triangle
    4. vectors
    5. complex numbers — rectangular and trigonometric form
    6. DeMoivre's Theorem and the $n$-th root theorem
  4. Polar and Parametric Equations
    1. polar coordinate system
    2. graphs of polar functions
    3. parametric equations and their graphs
    4. Systems of Equations and Inequalities
  5. Gaussian elimination and augmented matrices
    1. solution by graphing
    2. partial fractions
    3. systems of non-linear equations
  6. Conic Sections
    1. circle, parabola, ellipse, hyperbola
    2. foci, directrix, focal length, eccentricity
  7. Some Special Topics (optional)
    1. mathematical induction
    2. binomial theorem
    3. arithmetic and geometric sequences and series

Policies and Procedures

Requirements for Completion

To complete this course, students must:

  • attend classes,
  • actively participate in class work,
  • prepare assigned homework and reading,
  • pass all the quizzes and the final exam.


There will be several quizzes, given randomly in class. They will last no more than 20 minutes each and will cover current material. The quizzes will determine 75% of the final score.

There will be a final exam at the end of the course. It will cover all topics of the course. The grade received on the final exam will determine 25% of the final score.

If a test (i.e. a quiz or the final exam) is missed, then the grade 0 is assigned for that test.

The letter grade will be determined as follows:

Letter Grade Necessary and Sufficient Conditions
A Final Score 90 and above
B+ Final Score 85–89
B Final Score 80–84
C+ Final Score 75–79
C Final Score 70–74
D+ Final Score 65–69
D Final Score 60–64
F Final Score below 60 or stopped attending the class without communicating with the instructor
W Withdrew officially
  • by returning a withdrawal slip to the Registrar's Office — before mid-semester, or
  • by getting permission to withdraw from the instructor — after mid-semester.


All students are expected to attend every session of each course for which they are registered. Students are responsible for all that transpires in class whether or not they are in attendance. The College defines excessive absence or lateness as more than the equivalent of one week of class meetings during the semester. Excess absence or lateness may lead to failure in a course or removal from the class roster.


Make-up tests will be given only for documented emergencies, and then only at the instructor's discretion and convenience. However, if you have a good reason, please do ask for consideration.

Extra Help

  • Don't hesitate to ask a question right away — this class will encourage and facilitate immediate feedback.
  • Come to the instructor's office hours.
  • Use free tutoring and supplementary materials available at the Centers for Academic Excellence. (You must sign in with your student ID each time you use the Centers.) The Grant Campus Center is located in LRC, Room 149.
  • Get counseling and advising at the Counseling Centers.


Disruptive behaviors, as defined by the Student Handbook, will not be tolerated. In case of violations, the College policy allows the instructor "to remove a student from a class for one class meeting, and, in those cases where the continued presence of the student poses a substantial threat or would be disruptive to the class, request that the Associate Dean of Student Services impose an interim suspension pending a disciplinary hearing."

Academic Integrity

The College's Student Code of Conduct expressly prohibits engaging in any form of academic dishonesty. In case of violations, the College policy allows the instructor "to initiate student conduct action through the Campus Associate Dean of Student Services. The faculty member may impose any of the following penalties: require that the student repeat the assignment or the exam; give the student a failing grade for the assignment or exam; or give the student a failing grade for the course. Should the student believe that s/he has been wrongly or unfairly accused of academic dishonesty, the student shall have the right to pursue the matter though the Grade Grievance Process."

Use of Technology

Non-Graphing Calculator
as a standalone device (not an app on a phone, tablet or a computer)
as an app on a phone, tablet or a computer
Phone, Tablet, Computer, ...
used as a distraction (making or receiving calls, answering SMS, browsing Internet, ...)
Phone, Tablet, Computer, ...
used for class activities (taking notes, looking up information related to class, using computer modeling, ...)
Regular Class
but not recommended
but not recommended
Repeated use is a sufficient reason for your removal from the class for the remainder of the class session.
If someone needs to contact you urgently when you are in class, you should discreetly leave the room before answering. Keep your phone on vibrate or turn it off when in class.
(i.e. a quiz or final exam)
Strictly prohibited, even if not used
Having such devices in the open when taking a test is a sufficient reason for an immediate failing grade for that test.
If you use computers for taking notes, please make arrangements for an alternative way to access those notes during a test, if you need them.

Disability Services

Suffolk County Community College provides reasonable accommodations to registered students with disabilities who have self-identified and been approved by the Office of Disability Services. Once approved for reasonable accommodations, such students will be provided with a laminated letter, describing the specific accommodations. Students must present this laminated letter to each of their professors before accommodations can be provided.

Students who have, or think they may have, a disability are invited to contact Disability Services for a confidential consultation. Call the Disability Services Office at (631) 851-6355, email the office at or stop by to make an appointment in Caumsett Hall, Lower Level, Room 20.

Religious Observance

As provided for in New York State Education Law §224-a, student absences from class necessitated by religious observance will be deemed an excused absence, with no academic consequences. Students must notify their professor in advance of their religious observance, via their College email accounts or otherwise in writing, of their intention to be absent from a particular class due to a religious observance; notification should occur at least one week prior to the religious observance. Observing students shall be granted reasonable arrangements and/or be permitted a reasonable amount of time to make up missed quizzes, tests, assignments, and activities covered in their absence. Please refer to the Religious Observance Policy for additional information.

Fall 2018