Videos and reading
- For Mon, Jan 30: 1.1A - Definitions and the Definition Exercise
- For Mon, Jan 30: 1.1B - Notation and the Notation Exercise
- For Wed, Feb 1: 1.2A - The definition of a set
- For Wed, Feb 1: 1.2B - More about sets
- For Wed, Feb 1: 1.2C - Equality and containment
- For Wed, Feb 1: 1.2D - Which sets are contained in each other?
- For Wed, Feb 1: 1.2E - Set builder notation
- For Mon, Feb 6: 1.3A - Relationships between sets
- For Mon, Feb 6: 1.3B - Cartesian Products and the Power Set
- For Mon, Feb 6: 1.3C - Venn Diagrams
- For Mon, Feb 6: Read sections 1.1, 1.2, 1.3, 1.4, 1.5, 1.6 of the textbook https://www.people.vcu.edu/~rhammack/BookOfProof/.
- For Wed, Feb 8: Watch videos 1.4A, 1.4B, 1.4C, 1.4D, and 1.4E which are available www.qc.cuny.edu/academics/math/math-120. Also, prepare for a quiz in class on Wednesday on Sets and Set Operations.
- For Wed, Feb 15:
- Watch videos 2.1A, 2.1B, 2.1C, 2.1D, and 2.1E which are available www.qc.cuny.edu/academics/math/math-120.
- Complete the Day 5 Class Prep Sheet while you watch the videos.
- Here are a few paragraphs of text to read before class: Section 1.1, up to and including Multiplicative Principle (with sets)
- and a couple more paragraphs to read here: Section 1.3 up to but not including Example 1.3.4.
- Remember, there is no class on Monday, February 13.
- Due Monday, Feb 27:
- I posted quite a few problems on Webwork. To login to WebWork, go to webwork.qc.cuny.edu and login using your CAMS username IN ALL LOWER CASE (e.g. alastname100 for Alicia Lastname) and your CAMS password (not your CUNY Portal account password). You'll find the right section of math 120. I suggest that you do these problems over the next week to reinforce what you've learned so far and to get some extra credit.
- Watch videos 2.2A, 2.2B, and 2.2C which are available www.qc.cuny.edu/academics/math/math-120 under ``Day 6.''
- Also read about the Principle of Inclusion/Exclusion.
- The first midterm exam is on Wednesday, March 1. It will cover the material from the videos for Days 2, 3, 4, 5, and 6 on www.qc.cuny.edu/academics/math/math-120. To prepare, I recommend rewatching the videos and studying the in-class activities.
- Due Monday, March 6:
- Watch videos 2.3A, 2.3B, 2.3C, 2.3D, and 2.3E which are available www.qc.cuny.edu/academics/math/math-120 under ``Day 7.''
- After (or while) you watch the videos, complete the The Day 7 prep sheet.
- The Objective 2.3 Combinations problems are open on webwork.qc.cuny.edu also
- Here is the midterm exam and the answers to the midterm exam
- Due Wednesday, March 8:
- Watch videos 2.4A, 2.4B, 2.4C which are available www.qc.cuny.edu/academics/math/math-120 under ``Day 8.''
- There will be a quiz in class on Wednesday on the material from the 'Day 7 lectures'.
- Due Monday, March 13:
- Watch videos 2.5A, 2.5B, 2.5C which are available www.qc.cuny.edu/academics/math/math-120 under ``Day 9.''
- Read Section 1.7.
- Finish the webwork problems for extra credit: webwork.qc.cuny.edu. Objectives 2.3 and 2.4 (due March 13) and 2.5 (due March 18).
- Due Wednesday, March 15:
- Watch videos 3.1A, 3.1B, 3.1C which are available www.qc.cuny.edu/academics/math/math-120 under ``Day 13.'' Here's a prep sheet to do while (or after) you watch the videos The Day 13 prep sheet.
- Due Monday, March 20:
- Watch videos 3.2A, 3.2B which are available www.qc.cuny.edu/academics/math/math-120 under ``Day 14.'' Here's a prep sheet to do while (or after) you watch the videos The Day 14 prep sheet.
- Due Wednesday, March 22:
- Watch videos 3.3A, 3.3B which are available www.qc.cuny.edu/academics/math/math-120 under ``Day 15.''
- Due Monday, March 27:
- Watch videos 3.4A, 3.4B, 3.4C, 3.4D, 3.4E which are available www.qc.cuny.edu/academics/math/math-120 under ``Day 16.'' Here's a prep sheet to do while (or after) you watch the videos The Day 16 prep sheet.
- Due Wednesday, March 29:
- Watch videos 3.5A, 3.5B, 3.5C which are available www.qc.cuny.edu/academics/math/math-120 under ``Day 17.'' Here's a prep sheet to do while (or after) you watch the videos The Day 17 prep sheet.
- Due Monday, April 3:
- This is the same assignment that was due Wednesday, March 29: Watch videos 3.5A, 3.5B, 3.5C which are available www.qc.cuny.edu/academics/math/math-120 under ``Day 17.'' Here's a prep sheet to do while (or after) you watch the videos The Day 17 prep sheet.
- We had a quiz on Wednesday, March 29. Here it is for your reference: quiz3.pdf.
- Due Wednesday, April 19:
- Watch videos 4.1A, 4.1B, 4.1C, 4.1D, 4.1E which are available www.qc.cuny.edu/academics/math/math-120 under ``Day 18.''
- There are problems posted on Webwork webwork.qc.cuny.edu. I recommend doing the two assignments for Objective 4.1 about Logs and Exponents.
- The second midterm is on Monday, April 24.
- It will cover the material from days 7 through 18 from www.qc.cuny.edu/academics/math/math-120
- You may be interested in seeing quiz3.pdf and quiz3_answers.pdf.
- And the In-Class activities are collected here: In Class Activities.
- Here is the midterm 2 exam and the answers to the midterm 2 exam
- Due Wednesday, April 26:
- Watch videos 4.2A -- 4.2D which are available www.qc.cuny.edu/academics/math/math-120 under ``Day 19.''
- Due Monday, May 1:
- Watch videos 4.3A -- 4.3F which are available www.qc.cuny.edu/academics/math/math-120 under ``Day 20.''
- Also, check out the in class activity about sums and sigma notation here: 120sp23_In-Class_Day20.pdf
- Due Wednesday, May 3:
- Watch videos 4.4A, 4.4B, 4.4C, available www.qc.cuny.edu/academics/math/math-120 under ``Day 21.''
- Here's a prep sheet to do while (or after) you watch the videos The Day 21 prep sheet.
- Due Monday, May 8:
- Watch videos for days 24 and 25 on www.qc.cuny.edu/academics/math/math-120.
- Due Wednesday, May 10:
- Watch videos for days 26 and 27 on www.qc.cuny.edu/academics/math/math-120.
- Due Monday, May 15:
- Study for the final exam! Bring questions to class. Also, here is an in-class activity from a previous semester math 120 course about modular arithmetic that might be helpful: 120fa22_In-Class_Day25.pdf
Overview
Math 120 is an introductory course in Discrete Math. The course catalogue lists the following topics: Sets, functions, relations, formal logic (propositional and predicate calculus); elementary number theory; elementary combinatorics and discrete probability; introductory abstract algebra, monoids and groups.
Math 120 is a math class aimed at computer science majors. It does not count toward a major in mathematics.
Practical information
- The class meets from 1:40PM - 2:55PM on Mondays and Wednesdays in Kiely 414.
- office hours: Monday and Wednesday 12:00 -- 12:45 in Kiely 607, or by appointment.
- email: jterilla@qc.cuny.edu
Textbook
The textbook for the course is Richard Hammack's The Book of Proof, 3rd Ed. There is a pdf version of the book available from the website: https://www.people.vcu.edu/~rhammack/BookOfProof/. I may supplement the book with other references as well. For example, we may cover sequences, series, and products and for those topics, I may refer to chapter 2 of Discrete Math: An Open Introduction.
Class format
Class will be organized as a sort of flipped classroom. You'll watch recorded lectures before you come to class, or sometimes complete reading assignments. The videos will usually be around 10 or 20 minutes long if you watch them at 1x speed. Then when you come to class, you'll work on problems, in-class projects, and take quizzes. It should be fun and I think you'll learn a lot. It will be important to watch the videos and do the reading so that you are prepared for class and it will be important to attend class so you can participate in the in-class activities.
Course Grades
Course grades will be determined as follows:
- Attendance and class participation (40%)
- Midterm Exams (20% each)
- Wednesday, March 1
- Monday, April 24
- A comprehensive in-class final exam (20%) on Friday, May 19 from 11:30am -- 1:30pm in KY-150.
at 4:00 on Wednesday, May 17. - There will be some online homework which will be an opportunity for extra credit (up to 10%).
Calendar
Be aware of the CUNY Academic Calendar. In particular, our class is not scheduled to meet on Monday Feb 13, Monday Feb 20, Wednesday April 5, Monday April 10, Wednesday April 12. In addition, our class will not meet on Wednesday Feb 22.
Academic Integrity
Be aware of The CUNY Academic Integrity Policy. All issues of academic dishonesty will be reported.