Syllabus distributed to students on the first day of class. Make sure you read it carefully!
Note: the daily schedule has been updated after snow day: see
Department Outline: Official course outline prepared by the Mathematics Department.
Description: This course is designed to prepare students for the study of Calculus. Topics include an in-depth study of functions such as polynomial functions, inverse functions, radical functions, rational functions, trigonometric functions, exponential and logarithmic functions; solving inequalities; elements of vectors and complex numbers; solving trigonometric equations and identities involving sum, double and half-angle formulas; Binomial Theorem; and progressions. A graphing calculator is required.
Course and Section: MAT 1375 Precalculus, Section D575
Class Meets: Mondays and Wednesdays, 12-1:40 PM in Namm 619
Book: Precalculus, Second Edition, by Thomas Tradler and Holly Carley. Available on www.lulu.com. Free PDF available from: websupport1.citytech.cuny.edu/faculty/ttradler/precalculus.html.
Instructor: Dr. Laura Ghezzi
Office: Namm Room 826
Office Hours: Mondays and Wednesdays, 10:45-11:45 AM
OpenLab: The class website will be on the OpenLab (openlab.citytech.cuny.edu). The site contains important information about the course, and will be used in various ways throughout the semester. The address for the class website is:
WeBWorK: Some of the homework for this class will be completed on the WeBWorK website. You will be provided with more information in the first week of class. The address is:
Grading (percent / letter grade correspondence):
A = 93.0 — 100
A- = 90.0 — 92.9
B+ = 87.0 — 89.9
B = 83.0 — 86.9
B- = 80.0 — 82.9
C+ = 77.0 — 79.9
C = 70.0 — 76.9
D = 60.0 — 69.9
F = 0 — 59.9
W = withdrawal up to 4/1/19
WF = withdrawal after 4/1/19 (WF = F)
NOTE: Withdraw before 4/1/19 to avoid an F or WF
Grading (how your grade is calculated):
Homework (15%): Each class you will be assigned online homework (to be completed on the WeBWorK site). All problems completed will earn points towards your homework grade.
Projects and OpenLab Assignments (5%)
In-Class Exams (60%): There will be 3 exams during the semester (not including the final). Each exam is worth 20%. No makeup exams will be given.
Final Exam (25%): A final exam is given on the last day of class covering all topics. The final exam must be taken to pass the course.
- Solve absolute value equations algebraically.
Solve equations graphically.
- Determine the domain, and range of a given function.
Find the sum, difference, product, quotient, and composition of functions.
Determine the effects of basic operations on graphs of functions.
Determine the inverse of a function, if it exists.
Determine the roots and relative extrema of polynomials.
Sketch the graphs of polynomial, rational, exponential, and logarithmic functions.
Solve equations involving polynomial, rational, exponential, and logarithmic functions.
Solve polynomial, rational and absolute value inequalities.
- Find the amplitude, phase shift, and period of trigonometric functions.
Use the trigonometric identities, half- and double-angle formulas to modify trigonometric formulas.
Solve trigonometric equations
- Write a complex number in rectangular and polar forms.
Multiply and divide two complex numbers in polar form.
Find the magnitude, direction angle, horizontal, and vertical components of a vector.
- Find the n-th term of arithmetic and geometric sequences.
Find the n-th partial sums of arithmetic and geometric sequences.
Find terms of a binomial expansion using the Binomial Theorem.
- Use a graphing calculator to assist in the above.
Gen Ed Learning Outcomes
Students will be able to:
- Understand and employ both quantitative and qualitative analysis to solve problems.
- Employ scientific reasoning and logical thinking.
- Communicate effectively using written and oral means.
- Use creativity to solve problems.
Academic Integrity: The New York City College of Technology Policy on Academic Integrity: Students and all others who work with information, ideas, texts, images, music, inventions, and other intellectual property owe their audience and sources accuracy and honesty in using, crediting, and citing sources. As a community of intellectual and professional workers, the College recognizes its responsibility for providing instruction in information literacy and academic integrity, offering models of good practice, and responding vigilantly and appropriately to infractions of academic integrity. Accordingly, academic dishonesty is prohibited in The City University of New York and at New York City College of Technology and is punishable by penalties, including failing grades, suspension, and expulsion. The complete text of the College policy on Academic Integrity may be found on p. 56 of the catalog.
City Tech Math Department’s Statement On Academic Integrity
To students: As defined in the Academic Integrity Policy Manual, “cheating is the unauthorized use or attempted use of material, information, notes, study aids, devices or communication during an academic exercise.”
Examples of cheating include, but are not limited to:
- Talking/sharing/exchanging information during an exam, regardless if the content is related to the exam.
- Using an unauthorized resource (notes or electronic device) during an exam.
- Taking someone else’s work as one’s own, including copying answers from another student, copying solutions from the internet, or plagiarizing.
- Assisting someone to cheat, including allowing another student to copy one’s work or doing work for another student.
- As a general rule, the mathematics department does not allow the use of formula sheets or cell phones during exams. Any student in need of a calculator (when allowed) may go to the library to borrow one.
The mathematics department takes violations of the academic integrity policy seriously. Any observed violations will be reported using the Faculty Action Report (FAR) form and may result in an academic sanction. Instructors will report any such incidents to the chair of the department.
The college’s academic integrity policy can be found: http://www.citytech.cuny.edu/academics/docs/academic_integrity_policy.pdf
Note: Students cheating during an exam will earn the grade 0 (zero) on that exam.