Syllabus

Course Information

Course Number: MAT 1375

Course Title: Precalculus

Course Outline: Official course outline prepared by the Mathematics Department.

Course 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.

Credits / Hours: 4

Section Number: MAT 1375-W058  

Prerequisites: MAT 1275

Textbook: Precalculus, Second Edition, by Thomas Tradler and Holly Carley.  The textbook is available to download for free (pdf) or in softcover format for a small fee. To obtain the textbook click here. 

Online Spaces

• OpenLab: This website will be the online home for our class. The site contains important information about the course, and will be used in various ways throughout the semester. https://openlab.citytech.cuny.edu/groups/mat-1375-w058/
• WeBWorK:  Much of the homework for this class will be completed on the WeBWorK system.  You will be provided with more information in the first week of class.  To go to our class WeBWorK site click here.

In-person Location:

• Namm N-704

Faculty Information

Professor Name:

• Lucie MIngla

Office Hours/Information: Saturdays 11:30am -12:30 pm

Contact Information

• Email: lmingla@citytech.cuny.edu

Learning Outcomes

1. Solve absolute value equations algebraically.
   Solve equations graphically.
2. 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.
3. 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
4. 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.
5. 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.
6. Use a graphing calculator to assist in the above.

Gen Ed Learning Outcomes

Students will be able to:

1. Understand and employ both quantitative and qualitative analysis to solve problems.
2. Employ scientific reasoning and logical thinking.
3. Communicate effectively using written and oral means.
4. Use creativity to solve problems.

Teaching/Learning Methods

Some major things to expect from the Professor (me).

• Provide clear instructions and instructional resources, and always use multiple approaches to engage students in learning.
• Modeling and delivering professionalism through in-person and the online presence, live meetings and other actions and civil behaviors.
• Provide support for students in terms of navigating online resources and spaces such as course site, LMS system and other course content.
• Develop effective course policies and regulations that promote equitable and inclusive education for the diverse audience of students in class.
• Be clear and concise in delivering instructions and requirements, so the students know what they are expected to do.
• Set up a clear and comprehensive assessments and grading policy and provide effective feedback to learners.
• Promote a healthy environment, so everyone feels safe and welcomed to work, collaborate, and grow professionally together, and foster the sense of belonging and pride.
• Treat everyone respectfully, fairly, and appropriately despite races, color, gender, nationality, background, age, etc.
• Address gently and very carefully and resolve any personal violations of the rules that disrupt the learning process.
• Lead tough critical conversations and set expectations about communications with mutual respect, acceptance of diversity and differences of others, etc.  
• Value the diversity and different points of view as a great asset and source to enrich our values civility of our community.
• Give a clear guideline of the course resources and discuss valuable habits of studying, reviewing, notetaking, using the course materials, and test taking tips, etc.  

Technology Requirements

• A graphing calculator such as the TI-84+ is required.

Schedule

A detailed schedule of topics can be found on the Schedule page.

Percent/Letter Grade conversion

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 11/6/20 (WF after 11/6/20)

Grading Policy

The grading policy for the course appears on the Grading Policy page.

Class Etiquette & Netiquette

• To provide and maintain an environment where everyone can learn and grow professionally and as citizen, I have set up some expectations.
  • Carefully read the important documents such as Department Syllabus, Class Policies and procedures, my ongoing instructions, announcement, Instructional videos, etc. for a clear understanding of the course functionality.
  • Visit and get familiar with sites of the course. Learn how to navigate the curse sites and resources.
  • Check your email and the course sites constantly for important announcements and instructions, new assignments, upcoming assessments, etc.
  • Study the notes, textbook, watch videos, etc. before you do the assignments in webwork.
  • Make sure that you bring a scientific calculator every session. (No cellphones will be allowed to be used during the session).
  • Students must take the final exam to pass this class. No student will be allowed to take the final exam early or later.
  • During the sessions, avoid any disruptive behavior such as using your phone, talking to others while instructions are being given. When instructed, work with peers or groups in a professional manner. Raise your hand to speak, take turns.
  • Respect others as they speak, listen carefully, and reflect, discuss react in a very polite and professional manner.
  • Value critical thinking, mutual constructive feedback without hurting anyone’s personal feeling, or giving the sense of conflicting anyone because of their diverse opinion.
  • Be very careful with jokes, personalized examples and any other disruptive behavior that may cause harm to the learning environment as a whole class or to any individual.
  • Any disruptive, unprofessional, and disrespectful behavior will immediately be addressed, and issues will be resolved in a professional manner.
  • As we continue with the course new things may arise and I will adjust my instructions and documents of the course. Everything will be posted on our course site under course information and syllabus.
  • As an instructor I reserve the right to make any reasonable changes considered academically advisable in the course policies. Any changes will be announced during class meetings, and posted on the course site, and students are responsible to be aware of them.

Attendance/Participation

• Attend the session since in the beginning and stay until the end. You will have surveys; questions and the attendance will be taken multiple times during the session.
• Attendance and active participation in class will be taken into consideration while computing the final grade.
• Students who miss a class meeting should obtain all the information for that meeting from the course syllabus (schedule), connecting with a classmate for notes, reach out to me with an email, etc.
• When working in groups, always try your best and give your best, so that others can understand that you are contributing with all you can offer and expect others to do the same.
• Follow up with due dates and times in submitting the assignments.
• Come to office hours for specific help when you need it, raise your questions, discuss your grades, etc.
• Actively participate on discussions, group work, and other activities during the live session and carefully follow with instructions given from the professor.

Academic Integrity Policy

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 citation of 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 is punishable by penalties, including failing grades, suspension and expulsion. More information about the College’s policy on Academic Integrity may be found in the College Catalog. 

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