COLLEGE ALGEBRA AND TRIGONOMETRY (MTH 123 D007 [28640]) Fall 2025
Instruction Mode: In Person
Tuesday, Thursday 10:10 a.m. – 12:05 p.m., 3S 118
Dr. Andras Balogh
(718) 982-3619
1S 223 and through Zoom at (click here to get the Zoom link)
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.
Stewart, Redlin, Watson, Precalculus: Mathematics for Calculus, 7th Edition with WebAssign. Brooks/Cole, Cengage Learning (2015). ISBN# 978-1305071759. The homework link in Brightspace will take you to the WebAssign page.
Topics in algebra, including inequalities, logarithmic, exponential, trigonometric functions, graphs and equations, inverse functions, elements of analytic geometry. Introduction to the use of graphing calculators.
MTH 30 (Intermediate Algebra) or an appropriate math placement or permission of the Department of Mathematics
Online homework will be assigned regularly through the online homework system WebAssign for each section of the book that we cover. You will find the link to WebAssign in Brightspace.
A graphing calculator is required. The TI-84 is highly recommended.
Students are required to have reliable internet access for accessing the homework system. This can be done even from smartphones, but a tablet or laptop or desktop computer is recommended.
There will be three midterm exams and a comprehensive final exam. All questions on all exams are open ended. Check the dates for the midterm exams. All students are expected to take the examinations on the announced date. On all problems, you must show your work. Write clearly and show all your work; a correct answer alone may not receive any credit. The dates for the exams will be announced at least a week in advance.
No make-up exams will be accepted without prior approval of the instructor.
Three in–class exams: 45% (15% each); Comprehensive final: 20%; Homework (online through WebAssign) 20%; Quizzes: 15%.
:A;
:B;
:C;
:D;
:F
Below, each lesson corresponds to a one-hour class. Homework problems in bold correspond to similar WebAssign problems, which must be submitted online.
Course Coverage and tentative schedule (Chapters 1–5)
| Lesson | Section | Topic | Homework Problems
|
| 1 | 1.2 | Exponents and Radicals | 35, 42, 44, 65, 68, 70, 76, 95 |
| 2 | 1.3 | Algebraic Expressions | 23, 52, 73, 81, 96, 121, 127 |
| 3 | 1.4 | Rational Expressions | 12, 22, 32, 44, 54, 73, 76, 80, 82 |
| 4-5 | 1.5 | Solving Equations | 22, 28, 29, 38, 51, 89, 90, 99, 113 |
| 6-7 | 1.7 | Modeling with Equations | 25, 31, 39, 43, 53, 55, 64, 71, 75, 90 |
| 8 | 1.8 | Inequalities | 34, 35, 37, 51, 53, 83, 85, 101, 102, 121 |
| 9 | 1.10 | Equations of Lines | 17, 19, 22, 28, 34 |
| 10 | 1.10 | Parallel and Perpendicular Lines | 43, 46, 47, 50, 51 |
| 11 | 2.1 | Functions | 23, 31, 36, 55, 56, 85, 90 |
| 12-13 | 2.2 | Graphs of Functions | 17, 24, 28, 34, 49, 51, 53, 69, 70 |
| 14 | 2.5 | Linear Functions and Models | 41, 42, 45, 46, 49, 50 |
| 15 | Review | ||
| 16 | Review | ||
| 17 | Exam 1 | ||
| 18 | Exam 1 | ||
| 19-20 | 2.6 | Transformations of Functions | 7, 8, 21, 22, 48, 63, 65, 67, 68, 74, 77, 78, 85 |
| 21 | 3.1 | Quadratic Functions | 11, 15, 17, 19, 25 |
| 22 | 3.1 | Max/min Values of Quadratic Functions | 51, 56 |
| 23 | Focus | Modeling with Functions | (p. 242) 19, 20, 21, 24, 26, 29 |
| 24 | 3.1 | Modeling with Quadratic Functions | 51, 52, 53, 63, 65 |
| 25 | 4.1 | Exponential Functions | 22, 23, 32, 34, 46 |
| 26 | 4.2 | Natural Exponential Function | 13, 14, 23, 34, 35, 37 |
| 27-28 | 4.3 | Logarithmic Functions | 16, 24, 29, 31, 44, 56, 90, 98 |
| 29 | 4.4 | Logarithmic Expressions | 17, 40, 32, 34, 46, 47, 53, 56, 63 |
| 30 | 4.5 | Exponential Equations | 19, 21, 23, 25, 39, 41 |
| 31 | 4.5 | Logarithmic Equations | 51, 66, 67, 87, 90, 91 |
| 32-33 | 4.6 | Exponential Growth | 2,6, 10, 13, 14, 16 |
| 34 | 4.6 | Radioactive Decay | 18, 22, 23, 24, 26 |
| 35 | Review | ||
| 36 | Review | ||
| 37 | Exam 2 | ||
| 38 | Exam 2 | ||
| 39 | 6.1 | Angle Measure | 10, 19, 33, 41, 47, 48, 54, 59, 64, 68 |
| 40-41-42 | 6.2 | Trigonometry of Right Triangles | 3,7,10,17,20; 33,38,43,48; 53,57,59,60 |
| 43-44 | 6.3 | Trigonometric Functions of Angles | 7, 14, 21, 42, 46; 50, 51, 53, 55, 65 |
| 45 | 6.4 | Inverse Trigonometric Functions | 7, 8, 9, 13, 19, 39, 40 |
| 46 | 6.5 | The Law of Sines | 4, 10, 17, 24, 30, 31, 33, 37 |
| 47 | 6.6 | The Law of Cosines | 6, 11, 16, 22, 32, 34, 41, 43 |
| 48-49 | Ch. 6 | Applications of Trigonometry | (p. 531) 10, 21; (p. 534) 1, 2, 3, 4, 6, 7 |
| 50 | Review | ||
| 51 | Review | ||
| 52 | Exam 3 | ||
| 53 | Exam 3 | ||
| 54 | Final Review | ||
| 55 | Final Review | ||
| 56 | Final Review | ||
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 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.
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.
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.