Math 195 Winter 2026
This short three-week course is designed for students who took and passed math 190 in the Fall with a grade of C or better (or who took math 195 in the Fall but did not get a grade of C or better) and want to take a Spring Calculus course at CCNY. If you did not study math 190 or math 195 in the Fall you may struggle to keep up with the fast pace of the course. It is recommended that such students consider dropping the course and then take math 195 in the Spring semester, when you will have more time to digest the course material.
Syllabus
CCNY Math 195 Coursepage
Textbook, Notes, Sample Final Examas.
Exam Schedule
Exam 1: Thursday 8 January
Exam 2: Thursday 15 January
Final Exam: Friday 23 January
Grading Factors
HW Average: 8% of course grade.
Quiz Average: 12% of course grade.
Two In-Class Exams: 40% (lowest in-class exam will be dropped).
Final Exam: 40% of course grade
Homework
Using MyOpenMath. See David John if you do not already have a MyOpenMath account.
Textbook Exercises vs. Textbook Examples
The best way to learn the material is to consistently do many exercises as possible. It is better to spend a couple hours every day doing textbook exercises rather than spending the weekend before the exam cramming for eight hours a day. 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. However if you have 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. When I studied math in college I learned most by attempting to work out many of the odd numbered exercises in my textbooks and then checking my answers.
Textbook exercises are located at the end of each section in our book. Answers to the odd numbered exercises in the back of the book. Textbook examples are mixed into the section. Textbook examples always have a full written solution immediately underneath. These solutions are well-written and are one of the strengths of our textbook. Please cover up the solution and try to work it out yourself before reading the solution.
Flipped Classroom and Reading the Textbook
The best way to learn the material is to consistently do many exercises. It is better to spend a couple hours every day doing textbook exercises rather than spending the weekend before the exam cramming for eight hours a day. 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. However if you have 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. When I studied math in college I learned most by attempting to work out many of the odd numbered exercises in my textbooks and then checking my answers.
We will be practicing flipped classroom this semester. You will be reading (and watching videos) about the course topics before studying them in class with me. Having a rough idea of a course topic before learning studying it in class will give us more time to spend solving problems in class. Solving problems is the most important part of the course.
Learning to read a textbook is a crucial skill to master. Carefully reading a math textbook will help you in all of your future math courses at CCNY. Reading a math textbook is unlike reading the newspaper or a novel. You cannot just read the assigned pages in a math book and be done. It doesn't work like that. You must read a math book slowly, with diligence---and you must have a pencil and scrap paper by your side to work our the examples. It is best to cover up the solution to an example and attempt to work it out yourself before moving forward. It is usually impossible to work out a solution perfectly on first reading but it is important to try. Attempting a problem, or just trying to figure out what is being asked, is a great way to learn math.
Winter 2026 MATH 195 Schedule / Pacing
Fri, Jan 2: 3.1, 3.2, 3.3
Mon, Jan 5: 3.4, 3.5, 3.6, 3.7
Tue, Jan 6: 3.7, 4.1, 5.1, 5.2/5.3
Wed, Jan 7: 5.2/5.3, 5.4, 5.5, 5.6
Thu, Jan 8: 5.6, 6.1/6.2, Exam 1 (Sections 3.1–5.2/5.3)
Fri, Jan 9: 6.3/6.4, 6.5
Mon, Jan 12: 6.6, 6.7
Tue, Jan 13: 7.1, 7.2
Wed, Jan 14: 7.3, 7.4
Thu, Jan 15: 8.1, 8.2, 8.3, Exam 2 (Sections 5.4–6.7)
Fri, Jan 16: 8.3, 9.1, 9.2
Mon, Jan 19: No Class – College Closed
Tue, Jan 20: 9.3, 9.5
Wed, Jan 21: 11.1, 11.3, 11.5
Thu, Jan 22: Final Exam Review
Fri, Jan 23: Final Exam (Sections 3.1–11.5)
