Math 125: College Algebra and Trigonometry with Intermediate Algebra Review

Fall 2025, Section 29116

Instructor: Freda Li

Email Address: freda.li@csi.cuny.edu

Lecture: 1P-119, Monday and Wednesday, 2:30 - 4:25 pm

Office Hours: TBA

Recitation Session:

Instructor: Andras Balogh

Email Address: andras.balogh@csi.cuny.edu

Office Phone: (718) 982-3619

Lecture: 5S 122, Tuesday 12:20 - 2:15 pm

Office Hours: Tuesday, Thursday: 9:00 a.m. – 10:00 a.m. and 3:00 p.m. – 4:30 p.m., or by appointment. Feel free to email me if you’d like to discuss course related topics outside of office hours. There is absolutely no reason not to contact me for help.

Course Description: 4 hours lecture, 2 hours recitation (weekly); 4 credits

This course meets three times a week: twice for lecture sessions and once for a recitation section. In lecture, you will be presented with the topics and example problems together with a large group of students. In lecture, it will be important that you pay attention and take good notes. In recitation, you will take practice quizzes, practice doing the problems yourself, and compare notes with others in a smaller group. In recitation, it will be important that you ask questions about whatever you’re stuck on and attempt the problems your instructor gives you.

Topics include: review of basic algebra; inequalities; logarithmic, exponential, and trigonometric functions; graphs and equations; inverse functions; elements of analytic geometry. Introduction to the use of graphing calculators. Includes a review of selected topics from Intermediate Algebra.

Textbook: Algebra and Trigonometry, 4th Edition, by Stewart, Redlin, and Watson; Enhanced WebAssign Edition. Cengage Learning (2014). ISBN-13: 978-1305071742. We will cover Sections P.3-P.9, 1.3-1.8, 2.1-2.6, 3.1, 4.1-4.6, and 5.1-5.6.

Supplies

Grading Policy:

Homework: Homework assignments will be posted and taken on WebAssign. Each homework assignment must be submitted through WebAssign by the listed due date. No late work will be accepted.

Midterm Exams: There will be three midterm exams and a final exam, all of which will be administered in lecture. The dates for the exams will be announced at least a week in advance. There will be no make-up exams. If you have a reason for missing an exam that is consistent with CUNY policy on missing class, email the professor about this as soon as possible.

There will be no opportunities for extra credit in this class.

Final Exam: There will be a comprehensive final exam at the end of the semester. The final exam cannot be rescheduled. Missing the final exam will result in an F or WU or INC grade for this class unless otherwise discussed. An INC (incomplete) grade may be given by the discretion of your professor if all your other course work has a passing grade. In the case of an INC grade, you need to clear it as soon as possible by making the necessary arrangements with your professor.

Attendance: Attendance will be recorded during each class session. Six or more unauthorized absences will result in a WU grade. In general, the only acceptable excuses for missing class (including exams) are serious illness, family/personal emergency, or religious observance. Appropriate documentation must be presented to authorize an absence.

Academic Integrity: Students are expected to uphold the CUNY Policy on Academic Integrity. Cheating on exams will result in failures, at minimum. For details on the school’s policy on this, see the Academic Integrity section of the Student Handbook.

Student Accessibility: Qualified students with disabilities will be provided reasonable academic accommodations if determined eligible by the Center for Student Accessibility. Prior to granting disability accommodations in this course, the instructor must receive written verification of student’s eligibility from the Center for Student Accessibility. It is the student’s responsibility to initiate contact with the Center for Student Accessibility staff and to follow the established procedures for having the accommodation notice sent to the instructor.

Lesson Schedule Plan:






Lecture Date Section
Topic
Homework Problems










1 8/27 W

1.2

 

Course Overview

Review of fractions*

 

 






2 9/3 W

P.3

P.4

Integer Exponents

Exponents and Radicals

25, 27, 29, 505, 507, 509, 510

61, 62, 63, 66, 73, 74, 76, 80






3 9/8 M

P.5

P.6

Algebraic Expressions

Factoring

17, 18, 21, 24, 27, 32, 34, 37, 62

11, 15, 17, 18, 23, 25, 40, 67, 69, 70






4 9/10 W

P.7

P.8

Rational Expressions

Solving Equations

9, 12, 13, 18, 19, 25, 27, 34, 41, 43, 44

19, 27, 29, 34, 36, 37, 42, 44, 46, 55, 57, 63






5 9/15 M

P.9

1.3

Modeling with Equations*

Equations of Lines

25, 31, 39, 43, 53, 55, 64, 71, 75, 90






6 9/17 W

1.3

1.3

Equations of Lines

Parallel and Perpendicular Lines

11, 12, 17, 19, 21, 24, 25, 27

39, 40, 41, 43, 44, 47, 49, 50






7 9/29 M

1.4

1.6

Solving Quadratic Equations*

Solving other Types of Equations

8, 9, 12, 17, 19, 33, 64, 65

6, 7, 27, 37, 38, 49, 50, 53






8 10/6 M

 

1.7

Exam 1 (Mini)

Solving Inequalities*

 

14, 15, 19, 20, 23, 24, 25, 27, 34, 37, 38, 47






9 10/8 W

1.8

1.8

Solving Absolute Value Equations

Solving Absolute Value Inequalities

10, 12, 13, 14, 15, 16, 17

27, 28, 29, 31, 34, 35, 36, 44






10 10/14 T

2.1

2.2

Functions

Graphs of Functions

6, 19, 20, 31, 34, 55, 56, 57, 59, 62, 64, 69

4, 6, 11, 19, 20, 24, 34, 37, 38, 42, 49






11 10/15 W 2.3

Getting Information from the Graph of a Function

17, 18, 19, 21, 31, 33, 37, 40, 43, 45, 59






12 10/22 W

2.4

2.5

Average Rate of Change of a Function

Linear Functions and Models

10, 12, 15, 16, 21, 26, 28

3, 5, 17, 26, 29, 34, 39






13 10/24 F 2.6

Transformations of Functions

7, 9, 10, 15, 20, 21, 24, 32, 48, 63, 67, 74






14 10/27 M  

Review

 






15 10/29 W  

Exam 2

 






16 11/3 M

3.1

3.1

Quadratic Functions

Modeling with Quadratic Functions*

5, 6, 11, 13, 17, 21, 23, 36, 38

51, 52, 53, 54, 56, 60, 62, 63






17 11/5 W

4.1

4.1, 4.2

Exponential Functions

Compound Interest and the number e

7, 12, 19, 23, 27, 30, 34, 37






18 11/10 M

4.2

4.2

The Natural Exponential Function

Logarithmic Functions

7, 8, 15, 23, 24, 33, 35, 37

10, 12, 13, 24, 26, 28, 39, 63, 64, 69






19 11/12 W

4.4

4.5

Laws of Logarithms

Exponential Equations

31, 36, 39, 40, 44, 47, 51, 53, 54, 56, 62

3, 8, 14, 17, 24, 33, 37, 40, 41






20 11/17 M

4.5

4.6

Logarithmic Equations

Modeling with Exponential Functions*

51, 62, 67, 68, 89, 90, 93, 95

2, 3, 5, 6, 18, 19, 20, 22






21 11/19 W

Review






22 11/24 M

Exam 3






23 11/26 W 5.1

Angle Measure

16, 18, 24, 29, 33, 53, 59, 63






24 12/1 M 5.2

Trigonometry of Right Triangles

24, 33, 38, 39, 43, 48, 53, 59, 60






25 12/3 W

5.3

5.4

Trigonometric Functions of Angles

Inverse Trigonometric Functions

6, 7, 9, 13, 14, 17, 21, 41, 42, 43, 47

7, 8, 9, 10, 13, 17, 19, 23, 39






26 12/8 M

5.5

5.6

The Law of Sines

The Law of Cosines

4, 5, 6, 13, 19, 20, 33, 34

3, 6, 11, 13, 16, 19, 22, 39






27 12/10 W

Review






28 12/15 M

Exam 4 (Mini)

Review