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 D558/Syllabus
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.
Class Meets: M/W 8:00 – 9:40, N717
Instructor: Lucie Mingla
Office: Namm Room 824
Office Hours: M/W 11:40 am-12:10 pm
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 (20%): Each week you will be assigned online homework (to be completed on the WeBWorK site). All problems completed will earn points towards your homework grade.
OpenLab and Project (10%): You will be participating on the OpenLab (website) by writing and making comments in response to assigned readings, homework problems, and so on.
In-Class Exams (45%): There will be 3 exams during the semester (not including the final). No makeup exams will be given. If you miss an exam for a valid reason, your final exam score will take the place of the missing exam.
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.
Attendance: Absence is permitted only with a valid reason. Anything in excess of 10% of the total number of class meetings is considered excessive absence (more than 3 absences).
Lateness: Two latenesses count as one absence.
Records: Records should be kept by every student of all grades received, exam papers, other work completed and any absences.
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.