Division of Science






Department of Mathematics
The City College of New York
160 Convent Avenue
New York, NY 10031

Phone: (212) 650-5346
Fax: (212) 650-6294

Math 19000: College Algebra and Trigonometry

Supervisor: Matthew Auth

Introduction to algebraic expressions and equations, rational expressions, exponents, functions and their graphs, trigonometric functions on the unit circle, and right triangle trig. Prereq.: placement at college entry or by subsequent examination. 4 hr./wk.; 3 credits.


Syllabus and Schedule

Instructors of may alter the schedule slightly due to holidays, or in order to spend more (or less) time on a given topic.

Course Topics

Topic Summaries

with Suggested Textbook Examples and Exercises, Khan Academy Videos, and Khan Academy Practice Problem Sets.

The above link can be helpful to consult for a quick summary (overview) of each section covered in the syllabus. While reading you will learn what concepts and techniques are most important in each section, and what topics can be skipped or deemphasized. Ultimately, working through the assigned webassign hw problems on your own or in groups of students is most important.

Here is some good advice: Read the textbook. Learning how to read a math textbook will be helpful in all your future math courses. Start practicing reading your math textbook now. You can find topics, advice reading textbook, examples in the section to know, examples in the section to avoid, end of section exercises to try (odd answers in back), as well as relevant Khan Academy videos, practice problem sets, and overviews in the course topics link above. Khan Academy practice problem sets are often easier than webassign questions and can be a good place to start when you are stuck, though the Webassign hw sets are most import for this course.

Here is some more good advice: Consistently do lots of problems. Between WebAssign, textbook examples and exercises, and Khan Academy practice problem sets linked above, there are more problems than any one student (or instructor) can complete. The webassign hw sets are most important. It is better to consistently to spend an hour every day doing an assortment of math problems than to spend the weekend before an exam cramming. Consider the final exam like running a marathon and the problems as your training sessions. If you consistently do problems (train) then you will be well-prepared for the final exam but if you take long gaps between working on problems you will always have difficulty getting back into the math mindset necessary to complete the problems. The first day of training is always the most painful.

Free CCNY Tutoring

Tutoring Schedule

Final piece of good advice: Form study groups and go to office hours and tutoring frequently. There is evidence that students who form study groups perform better in college math classes than students who work alone. A quick conversation with a group of students after class sometimes clear up a confusing point. Do not spend more than a day or two being stuck on a problem or idea. There is not enough time in the semester to remain stuck and not practicing. Ask for help instead.

Flipped Classroom

There will be videos linked to each class period in your blackboard >> contents. Just click on the class # and you will find links to videos related to the topic to be covered in that class. Please watch some of the videos linked to a class # before coming to class. For instance, before coming to class 5, watch a few of the videos linked to class 5 in your blackboard >> contents. You will get more out of class if you already have an idea of what is going on by watching some videos. After watching a few videos, you will be able to spend more class time working out exercises yourself and less time feeling lost. Watching videos can sometimes provide a quick refresher or help you start to work on a problem when you are away from campus and tutoring. You can also watch the videos after class or if you miss class.

Nevertheless it is impossible to learn math by watching videos. Working on the webassign hw sets is the best way to learn the material. Watching videos is secondary. You will not be graded on watching the videos.

Grading Factors

Quiz Average: 20% of course grade.

Midterm Exam 1: 20% of course grade.

Midterm Exam 2: 20% of course grade.

Final exam 40% of course grade

However at then end of the course if your final exam average is superior to your midterm 1 grade or your midterm 2 grade, then you can use your final exam grade to replace all lower midterm average(s). For instance if your midterm 1 grade 70, your midterm 2 grade 87, and your final exam grade 81 then your course grade will be computed as 20% * (quiz average) + 20% * 87 + 60% * 81 = course grade. You can even replace both midterm exam scores if your final is superior to both. One way to think of these grading factors is that your performance on midterms cannot hurt your final grade, as compared to your final exam grade. Your performance on the midterms can only help your grade in comparison to your final exam score.

With these grading factors you will be less stressed taking the midterms knowing that you can replace a bad score with your final exam score. Moreover if you feel ill, test positive for covid, you can skip either midterm, or both midterms. However, you must take the final. If you are sick for the final, do not come to campus. There will be a make-up final exam. There will be no other make-ups. Please remain off campus when you are feeling unwell.

Your quiz average cannot be dropped. There will be a quiz every class period. There will be no make-up quizzes. Instead your lowest four quiz grades will be dropped before computing your quiz average.

Quiz and exam questions will be similar to the assigned WebAssign problems, exact replicas sometimes. You should attempt all the assigned WebAssign problems in order to learn the material. Doing the assigned Webassign problems is the best way to prepare for quizzes and exams. If you have worked on all assigned Webassign hw problems there will be no surprises on quizzes and exams.

Sample Exams

All sample exam questions modeled on the assigned webassign homework problems. If you've worked through the assigned webassign homework problems there should be no surprises on exams.

Sample Exam 1. Questions from exam 1 are picked from sections between P.1--1.6 on our syllabus.

Sample Exam 2. Questions from exam 2 are picked from sections between 1.7--3.2 on our syllabus.

Sample Final Exam. Questions from the final exam are picked from all sections on our syllabus.

Discounted Webassign Access Code ($40)

If you have not already purchased a 190 Webassign Access code, you can purchase one for $40 by following each step until you reach step 5A in the Strong Start Student Guide. If you already purchased a 190 Webassign Access code in a previous semester, do NOT purchase another code. Your old code will work this semester. The access code remains valid even if you need to take math 190 multiple times. Before you purchase an access code, you should take advantage of the free trial before purchasing in case you need to drop the course.

(If you are taking multiple courses outside the math dept. that also require a webassign access code, then Cengage Unlimited may save you money? You should then compute what is the best value for your semester. If this is the only class with Webassign you are taking this semester, the cheapest option (step 5A) to purchase an access code that I know is the $40 option in the above link.)



For Fall 2022, the following sections are being offered:

LetterInstructorTime & Place
BCMatthew AuthMoWe 10:00AM-11:40AM in Baskervill 207
BC2Chun Sae ParkMoWe 10:00AM-11:40AM in NAC 1/511E
CDChun Sae ParkMoWe 12:00PM-1:40PM in NAC 5/108
CD2Mi Ok LimeMoWe 12:00PM-1:40PM in NAC 7/231
CD3Tsz Chung LoMoWe 12:00PM-1:40PM in Marshak 702
*ECNoneMoWe 10:00AM-11:40AM in NAC 6/111
EFYashasvi AulakMoWe 2:00PM-3:40PM in NAC 4/115
EF2David JohnMoWe 2:00PM-3:40PM in NAC 1/203
EF3Anthony DelgadoMoWe 2:00PM-3:40PM in NAC 7/306
FGLavinia CiunguMoWe 4:00PM-5:40PM in NAC 1/203
FG2Mi Ok LimeMoWe 4:00PM-5:40PM in NAC 4/115
FG3Anthony DelgadoMoWe 4:00PM-5:40PM in NAC 7/231
FG4Yashasvi AulakMoWe 4:00PM-5:40PM in NAC 6/115
GHRachel SoykMoWe 6:00PM-7:40PM in NAC 6/111
GH2Jania BegumMoWe 6:00PM-7:40PM in NAC 1/203
GH3NoneMoWe 6:00PM-7:40PM in NAC 6/115
LMElliot Kimbrough-PerryTuTh 10:00AM-11:40AM in NAC 5/109
LM2NoneTuTh 10:00AM-11:40AM in NAC 5/110
LM3NoneTuTh 10:00AM-11:40AM in NAC 4/113
LM4Haoxu LiTuTh 10:00AM-11:40AM in Marshak 702
PRJoseph DacanayTuTh 2:00PM-3:40PM in NAC 6/115
PR2Joshua MeiselTuTh 2:00PM-3:40PM in NAC 4/156
PR3Haoxu LiTuTh 2:00PM-3:40PM in NAC 5/111
RSYash ChandraTuTh 4:00PM-5:40PM in NAC 6/111
RS2Souad AjararTuTh 4:00PM-5:40PM in NAC 6/114
STSouad AjararTuTh 6:00PM-7:40PM in NAC 6/111
ST2NoneTuTh 6:00PM-7:40PM in NAC 5/109

Historical offerings