MAT 129 College Precalculus (CRN: 97225) — Fall 2024

MAT 129 College Precalculus (CRN: 97225) — Fall 2024

This Section

Course Registration Number (CRN): 97225

Term: Fall 2024

Instructor

Name Alexander Kasiukov
Office Suffolk Federal Credit Union Arena (SFCUA), Room A-109
Email (preferred mode of communication) kasiuka@sunysuffolk.edu
Phone (631) 851-6484
Web Site http://kasiukov.com
Office Hours

Attendance of office hours is optional, but I encourage you to come. Office hours begin at the start of the second week of the class and continue until the final exams week.

Schedule and Modality

Modality on-campus face-to-face lecture
Regular Meetings
Final Exam Date Thursday, December 5, 2024
This date may be changed due to class cancellations.
Last Meeting of Class Tuesday, December 10, 2024
This date may be changed due to class cancellations.

Textbook

This class will use an OER (Open Education Resources) textbook provided to you free of charge through SUNY partnership with LumenOHM. To access the textbook, use this button to or follow the steps:
  1. Go to https://ohm.lumenlearning.com/ohm/enroll.php
  2. Enter Course Id: 84193 and Enrollment Key: 54872 then click "Enroll".
  3. If you enrolled on the LumenOHM before, Sign In using your old Username and Password and click "Login"; otherwise Sign up and press "Submit".
  4. You should see the Course Name: MAT 129 - College Precalculus - Fall 2024 (CRN: 97225) as well as the Course Id and Course Enrollment Key you just entered, and the instructor's name. Click "Enroll".

Course Information

Course Stats

Title College Precalculus
Catalog Code MAT 129
Credit Hours 4
Contact Hours 5
Prerequisites C or better in MAT 120 or apporpriate placement.
Grades A, B+, B, C+, C, D+, D, F (failed), FN (failed due to non-attendance), W (withdrawal)

Catalog Description

A comprehensive analysis of fundamental Precalculus concepts for students planning to enter the calculus sequence. Topics include a thorough presentation of functions with an emphasis on quadratic, polynomial, rational, trigonometric, inverse trigonometric, exponential, and logarithmic functions; solutions to equations and inequalities, trigonometric identities; conic sections; and applications.

Learning Objectives

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

  • Define a function and describe the domain and range of symmetric, composite, and inverse functions;
  • Solve trigonometric equations and applications involving a triangle;
  • Find and sketch the graph of trigonometric, quadratic, polynomial, rational, exponential, and logarithmic functions;
  • Apply properties of a quadratic function to solve real-world problems;
  • Distinguish the real and complex zeros of a function;
  • Identify curves of conic sections and their properties.

Topics

  1. Prerequisites: Sets and Binary Relations
    1. Sets; union $A \cup B$, intersection $A \cap B$ and difference $A - B$ of sets
    2. Cartesian product of sets $A \times B$
    3. Definition of a binary relation: domain, range and graph
    4. Inverse of a binary relation; using reflection to find the graph of the inverse
    5. Composition of binary relations
  2. Concept of a Function
    1. Definition of a function: the vertical line test; functional notation $f(x)$
    2. Algebra of functions
    3. Invertable, one-to-one and on-to functions; the horizontal line test
    4. Finding the inverse function algebraically
    5. Transformation of function graphs: reflection, shifting, stretch/compression
    6. Symmetries of function graphs and functions; even, odd, periodic functions
  3. Ordinal Properties of Functions
    1. Increasing, decreasing, or constant behavior
    2. Absolute maximum and minimum
    3. Local maximum and minimum
    4. Geometric meaning of monotonicity, the slope of the secant line
    5. Relation between monotonicity of the function $f(x)$ and the sign of its difference quotient $\frac{f(x_1) - f(x_0)}{x_1 - x_0}$
  4. Standard Functions and Their Graphs
    1. Constant $f(x) = C$, identity $f(x) = x$ and linear $f(x) = mx + b$ functions
    2. Square $x^2$, cube $x^3$ and the general power functions $f(x) = x^n$
    3. Square root $\sqrt{x}$ and cube root $\sqrt[3]{x}$ functions
    4. The reciprocal function $\frac{1}{x}$
    5. Piece-wise defined functions and the absolute value function $|x|$
    6. The floor $⌊x⌋$ and the ceiling $⌈x⌉ $ functions
  5. Trigonometric Functions
    1. Angles: degree and radian measure, standard reference angles
    2. Pythagorean Theorem and the distance formula
    3. Unit circle trigonometry, definition of $\cos(x), \sin(x), \tan(x), \cot(x), \sec(x), \csc(x)$
    4. Trigonometric identities:
      1. odd/even properties
      2. periodicity
      3. complementary angle formulas
      4. Pythagorean identity
      5. Formulas for the sum and difference of two angles
      6. Double and half angle formulas
    5. Graphs of trigonometric functions and their transformations; amplitude, period and frequency
    6. Inverse trigonometric functions $\arcsin(x), \arccos(x), \arctan(x)$; their domains, ranges and graphs
    7. Compositions of trigonometric functions and inverse trigonometric functions
    8. Solving trigonometric equations
  6. Applications of Trigonometry
    1. Right triangle trigonometry
    2. The law of cosines $c^2 = a^2 + b^2 - 2 a b \cdot \cos(C)$
    3. The law of sines $\frac{\sin( A )}{a} = \frac{\sin( B )}{b} = \frac{\sin( C )}{c}$
    4. Solving triangles
  7. General Quadratic Functions $f(x) = ax^2 + bx + c$
    1. Completion of the square and graphing
    2. Axis of symmetry of the graph
    3. Vertex of the graph and the extremum value of the $f(x)$
    4. $x$-intercepts of the graph and the zeroes of the $f(x)$
    5. Meaning of the discriminant $D = b^2 - 4 ac$
    6. Applications of quadratic functions
  8. Polynomial Functions
    1. Sum, difference and product of polynomial functions
    2. Division of polynomials, Remainder and Factor Theorems
    3. Roots of polynomials and the concept of multiplicity
    4. Complex roots and the Fundamental Theorem of Algebra
    5. Graphing of polynomial functions
    6. Solving polynomial inequalities; representation of their solution sets in the interval and set-builder notations
  9. Rational Functions
    1. Domain, range and graph of a rational function; vertical, horizontal and oblique asymptotes
    2. Proper and improper rational functions and their behavior at infinity
    3. Solving rational inequalities; representation of their solution sets in the interval and set-builder notations
  10. Exponential and Logarithmic Functions
    1. Domain, range, graph and image of exponential functions $f(x) = a^x$
    2. The main exponential identities:
      1. $a^{x + y} = a^x \cdot a^y$
      2. $a^{x \cdot y} = (a^x)^y$
      3. $(a \cdot b)^x = a^x \cdot b^x$
    3. Definition of $\log_a(x)$ and the main properties of logarithms
    4. Solving equations with exponents and logarithms
  11. Geometry of Conic Sections
    1. Standard and general forms of the equations for parabola, circle, ellipse and hyperbola
    2. Graphing conic sections and identifying their type by their graph
    3. Vertex/vertices, center, foci, major/minor axis and asymptotes of conic sections
  12. Review and Cumulative Final Examination

Policies and Procedures

General Requirements

This class will be conducted in the traditional format of face-to-face lectures. When taking this class, students must:

  • attend the class, as scheduled;
  • actively participate in class work;
  • prepare assigned reading;
  • submit assigned homework;
  • pass all in-class quizzes and the final exam.

Grading

The course average will be computed as a weighted sum:

  • 75% – quizzes: pop quizzes will be given in class throughout semester; they will last no more than 20 minutes each and will cover current material;
  • 25% – final exam: final exam will be given at the end of the course; it will cover all topics of the course.

No test grade will be dropped. If a test (i.e. a quiz or the final exam) is missed, then the grade 0 is assigned for that test.

Letter Grade Necessary and Sufficient Conditions
A Course average 90 and above.
B+ Course average 85–89.
B Course average 80–84.
C+ Course average 75–79.
C Course average 70–74.
D+ Course average 65–69.
D Course average 60–64.
F (failed) Course average below 60. The course must be repeated.
FN (failed due to non-attendance) Stopped attending the class without communicating with the instructor. The course must be repeated.
W (withdrawal)

Withdrew officially by following the Course Withdrawal Policy

The course must be repeated.

Course Withdrawal Policy

The College's Course Withdrawal Policy is outlined on the Academic Policies page (click the "Withdrawal" link under the "Academic Standing" header). The Course Withdrawal Form, instructions and deadlines are on the Withdraw from Course page.

Make-ups

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.

Calculator Policy and Technology Use

Non-Graphing Calculator
as a standalone device (not an app on a phone, tablet or a computer)
Calculator
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
Permitted
but not recommended
Permitted
but not recommended
Prohibited
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.
Test
(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.

Attendance Policy

The class will be conducted in real time, face-to-face, in the format of a traditional lecture, as scheduled.

The College expects that each student will exercise personal responsibility with regard to class attendance. All students are expected to attend every class 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, even if absences are the result of late registration or add/drop activity at the beginning of a term as permitted by College policy. The College defines excessive absence or lateness as more than the equivalent of one week of class meetings during the semester. Excessive absence or lateness may lead to failure in, or removal from, the course.

Any student who enrolls in this course after the first meeting, regardless of reason, is accountable for all course requirements including assignments and attendance.

Arriving late, leaving early or taking unreasonably long breaks will be recorded as partial absence.

A student may be required to drop or withdraw from a course when, in the judgment of the instructor, absences have been excessive. A student may also be withdrawn from a course by the Associate Dean of Student Services or the Student Conduct Board following a disciplinary hearing for violating the Student Code of Conduct as described in the Student Handbook.

Students are advised to report COVID-positive test results to the Health Services Office via email healthserv-grant@sunysuffolk.edu or phone (631) 851-6709.

A PCR, or a rapid test taken at a facility, or a home test, will all be acceptable.  Students must provide a copy of the test result along with a copy of a photo ID.

Students who miss class for any illness should contact the instructor as soon as possible to discuss reasonable adjustments that might need to be made. When possible, students should contact the instructor before missing class.

Religious Observance

As provided for in New York State Education Law §224-a, student's absence from a class necessitated by religious observance will be deemed an excused absence, with no academic consequences. Students must notify their professor at least one week prior to their absence due to a religious observance. The notification must be made via their College email, or otherwise in writing, 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.

Extra Help

  • Don't hesitate to ask a question right away while in class — this class will encourage and facilitate immediate feedback.
  • Come to the instructor's office hours.
  • Use free online or in-person tutoring at the Academic Tutoring Centers. All tutoring sessions are offered by appointment only. Appoimtments are done online through WCOnline system.
    1. To create a WCOnline account: go to https://sunysuffolk.mywconline.net/register.php, and complete the registration form using your Suffolk email address and a 10-plus character password (other than the one you use for SUNY Suffolk).
    2. To make an appointment:
      1. Login to your WCOnline account at https://sunysuffolk.mywconline.net/index.php;
      2. Select Math Tutoring - Fall 2024 from the "AVAILABLE SCHEDULES"; The schedule is color-coded as follows: 
        • White blocks = Available;
        • Dark blue blocks = Not available;
        • Bright blue blocks = Other appointments;
        • Yellow blocks = Your in-person appointments;
        • Green blocks = Your Zoom appointments.
      3. Click on a white box of your choice. Each white box is a 30-minute or 45-minute session depending on the subject. Complete the appointment pop-up form by choosing whether you would like a Zoom or in-person session. You can also upload any documents you would like to share with the tutor.
      4. Click ‘CREATE APPOINTMENT’. If prompted, use the course MAT129 – College Precalculus and instructor Alexander Kasiukov.
      5. After scheduling an appointment, check your Suffolk email for confirmation. 
      6. Be on time. Please allow time for technical difficulties and contact us if they occur. If you scheduled a Zoom appointment, the tutor will email you the Zoom information before the session. In-person appointments will meet at your scheduled time at the Academic Tutoring Center located in the Learning Resource Center (LRC-149) on the Grant Campus. Vaccination is required for in-person tutoring.
    3. To join the waiting list: if a session you would like to attend is filled, you can join the waiting list. Click on the link link at the bottom right of each day on the schedule  and fill in the pop-up form. If an appointment opens up, a notification will be sent to you via text or email.
    4. To cancel an appointment
      1. Login to your WCOnline account at https://sunysuffolk.mywconline.net/index.php;
      2. Click on your appointment box and click on the 'CANCEL' button. As a courtesy to your tutor and other students, we ask that you cancel appointments at least 2 hours before the session. This will allow time for another student to schedule that session.  If you do not cancel within that time, it will be counted as a missed (no show) appointment. After 3 no shows, your account will be deactivated. 
    5. To contact the Center: email at tutoringcenterwest@sunysuffolk.edu or call (631) 851-6369.

    In-person tutoring takes place in Learning Resource Center, Room 149. Up to 8 people can be scheduled for the same in-person time slot.


  • Use the college library online or, by appointment, in person. Limited in-person services will be provided. To request an appointment, follow the instructions at the Library Home Page. The following services will be provided in person by appointment:
    • reference desk (1 hour maximum);
    • internet/computer use (2 hour maximum);
    • study space – chair and desk (2 hour maximum);
    • print circulating material (request online, deliivered at door of the library).
  • Get counseling and advising at the Counseling Centers. The Grant Campus Counseling Center is located in Caumsett Hall, Lower Level, Room 20 and can be reached at (631) 851-6250.
  • If you need support related to your psychological, emotional or social well being, there are counselors available through Mental Health & Wellness Services to provide free and confidential counseling. You can contact the Services at mentalhealth@sunysuffolk.edu or call a counselor directly. Michael J. Grant Campus counselor is Hypatia Martinez and she can be contacted at (631) 851-6872, martinhy@sunysuffolk.edu

Disruptions

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

Suffolk County Community College provides students with the opportunity to demonstrate their knowledge by submitting coursework that is uniquely theirs and giving proper attribution to the work of others. Participating honestly in the SCCC academic community ensures that students can take pride in their education and their contributions to scholarship. Without academic integrity, students gain unfair advantage over others and prevent their own intellectual progress. As a student in this class, you are expected to uphold the SCCC core value of integrity and understand the Special Procedures for Academic Dishonesty (section P. starting on page 23 of the Student Code of Conduct). Specifically, when academic integrity is violated, 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 Course Grade Grievance Procedure."

The Code prohibits academic misconduct, which includes any action that results in students giving or receiving unauthorized assistance in an academic exercise, or receiving credit for work that is not their own. Academic exercise includes all forms of work submitted for credit. Academic misconduct includes, but is not limited to, the following behaviors:

  • cheating - unauthorized use of textbooks, notes, mobile devices, artificial intelligence tools or other sources during an academic exercise;
  • plagiarizing - using another person's work or ideas without crediting them, including using material generated by artificial intelligence tools for an assignment without instructor authorization;
  • complicity - helping a student, or being helped, to engage in academic misconduct;
  • multiple submissions - submitting the same work for credit in more than one course without the instructor's permission;
  • falsification and forgery - inventing information or falsifying the identity of a student.

Information about the Student Code of Conduct, plagiarism and the citation process can be found on the Academic Integrity Procedures webpage. To learn more about academic integrity, college policies and expectations in this area, and proper ways to avoid possible violations, see the Academic Integrity and Plagiarism Guide.

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 an Accommodation Letter, describing the specific accommodations. Students must present this 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 Office of Disability Services for a confidential consultation. You can call the Office at (631) 851-6355, contact it via email disabilityG@sunysuffolk.edu, or stop by to make an appointment in Caumsett Hall, Lower Level, Room 20.

Preventing Spread of Respiratory Viruses

When You're Sick

CDC's Respiratory Virus Guidance (updated March 1, 2024) recommends that if you have symptoms of common respiratory viruses — such as COVID-19, flu, and RSV — that aren't better explained by another cause, you may be contagious and you should stay home and away from others. You may return to normal activities when your symptoms have been improving for at least 24 hours, and — if you had a fever — when your fever has been gone without use of fever-reducing medication for at least 24 hours. After returning to normal activities, you should continue to take added precaution using prevention strategies such as

  • wearing a well-fitting mask for the next 5 days,
  • enhancing hygiene practices,
  • keeping a distance from others, and/or
  • testing when you will be around other people indoors.

When You Tested Positive

If you never had symptoms but tested positive for a respiratory virus, you may be contagious and should take the same added precautions for the next 5 days when you will be around other people indoors. If you develop a fever or start to feel worse after you have gone back to normal activities, the CDC recommends you follow the stay home precaution outlined above again before returning to normal activities.


Fall 2024