## 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: OL79

Prerequisites: MAT 1275

## Instructor Information

Professor Name:

• Suman Ganguli

Office Hours/Information: Thursdays 11a-12p (via Blackboard Collaborate Ultra) and by appointment (email me and we’ll set up a time!)

Contact Information

• Email: sganguli [at] citytech.cuny.edu

## 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.
• WeBWorK:  Most 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.
• Blackboard: We will be using Blackboard Collaborate Ultra for our online class sessions. To go to our class Blackboard Collaborate Ultra site click here. I will also be using Blackboard to post announcements, and to collect written work.

## 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.

## Schedule

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

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)

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

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