MHF 3202

MHF3202 Sets and Logic 04G2 — Summer A 2025

MTWRF 3rd Period (Time 11:00–12:15 PM) Little Hall 205

Instructor

Dr. Jason Harrington
Email: mathguy@ufl.edu
Office: LIT 378
Office Phone: (352) 294-2346

Course Description

Examples of sets, operations on sets, set algebra, Venn diagrams, truth tables, tautologies, applications to mathematical arguments, and mathematical induction. Can also be very useful for prospective and in-service secondary and middle school teachers. Taking one, but not both, of MAS 3300 or MHF 3202 is required of mathematics majors.

Student Learning Outcomes for MHF3202: Sets and Logic

Upon successful completion of this course, students will be able to:

  • Define and Apply Fundamental Set Concepts: Clearly define and utilize fundamental concepts related to sets, including operations, set theory, and Venn diagrams.
  • Construct and Interpret Logical Structures: Accurately construct and interpret truth tables and symbolic logic statements, translating between English and symbolic forms.
  • Develop and Present Mathematical Proofs: Employ various proof techniques—such as direct proof, proof by contradiction, contrapositive proof, and mathematical induction—to construct valid mathematical arguments.
  • Critically Evaluate Mathematical Arguments: Analyze and assess the validity and soundness of mathematical proofs and arguments presented by others.
  • Communicate Mathematical Reasoning Effectively: Articulate mathematical ideas and proofs clearly and concisely in written form, adhering to proper mathematical notation and terminology.

Prerequisites

MAC 2312 with a minimum grade of C.

Textbook

Book of Proof by Richard Hammack, Third Edition. (ISBN: 978-0-9894721-2-8)

This textbook is also available for free online:
https://www.people.vcu.edu/~rhammack/BookOfProof/

Office Hours

I will be available after class 4th period on MWF or by appointment.

Instructor Communication

Students are encouraged to communicate with me directly after class during my office hours (MWF, 4th period) in LIT 378 for any course-related inquiries or issues.
For matters that cannot wait until office hours, email (mathguy@ufl.edu) is acceptable. Expect a response within 24–48 hours on weekdays.

Instructional Modality

This class is offered entirely in person. Attendance in scheduled class meetings is required. Canvas will be used solely for posting class notes, homework assignments, grades, announcements, and additional resources. It is your responsibility to regularly check Canvas for course updates and announcements.

Grades

Your course grade is based on:

  • 2 exams worth 40% total
  • Final exam worth 20%
  • Homework 20%
  • Attendance 10%
  • Discussion Board 10%

Grading Scale

  • A [90,100];
  • A- [87,90);
  • B+ [83,87);
  • B [80,83);
  • B- [77,80);
  • C+ [73,77);
  • C [68,73);
  • C- [64,68);
  • D+ [62,64);
  • D [57,62);
  • D- [55,57);
  • E [0,55)

Assignment Weight

Assignment Weight
Homework 20%
Attendance 10%
Discussion Board 10%
Exams (two, 20% each) 40%
Final Exam 20%

Homework

Exercises will be assigned mainly from the textbook. These exercises, along with classroom examples will form the basis for all exams. Not every textbook homework assignment will be checked, but it will be randomly collected periodically. You may check Canvas for the assignments.

Exams

There will be 2 exams in class. The 2 exam dates provided on the course schedule are TENTATIVE. Exam 1 is May 23rd and Exam 2 is June 6th.
Final Exam Date: June 20th in LIT 205 during 3rd period.

Attendance Policy

Registration in this course obligates the student to be regular and punctual in class attendance. Makeup exams will only be given in case of documented illness or for students participating in official College events. All late work will be penalized. Students will NOT be given the opportunity to complete old assignments at the end of the semester to improve their grades. Requirements for class attendance and make-up exams, assignments, and other work in this course are consistent with university policies that can be found at
https://catalog.ufl.edu/ugrad/current/regulations/info/attendance.aspx

Discussion Board Participation

Each module will have a discussion board available to discuss the current content. You may earn credit by participating in the discussion board, either by asking questions or posting answers. Feel free to post questions about homework, lectures, etc.

Online Course Evaluation

Students are expected to provide feedback on the quality of instruction in this course based on 10 criteria. These evaluations are conducted online at
https://evaluations.ufl.edu

Academic Honesty

On all work submitted for credit by students at the University of Florida, the following pledge is either required or implied:
“On my honor, I have neither given nor received unauthorized aid in doing this assignment.”

The UF honor code is available here:
https://www.dso.ufl.edu/sccr/process/student-conduct-honor-code/

Students with Disability

Students with disabilities who experience learning barriers and would like to request academic accommodations should connect with the Disability Resource Center:
https://disability.ufl.edu/get-started/
to get started with the Disability Resource Center. It is important for students to share their accommodation letter with their instructor and discuss their access needs, as early as possible in the semester.

Resources

  • Free tutoring is available at the Teaching Center which is located on the ground level of SW Broward Hall. The regular hours are Monday–Friday, 8 am–5 pm. Please check the website
    http://www.teachingcenter.ufl.edu/ for any changes.
  • U Matter, We Care: If you or someone you know is in distress, please contact umatter@ufl.edu, 352-392-1575, or visit the U Matter, We Care website to refer or report a concern and a team member will reach out to the student in distress.
  • Counseling and Wellness Center: Visit the Counseling and Wellness Center website or call 352-392-1575 for information on crisis services as well as non-crisis services.
  • Student Health Care Center: Call 352-392-1161 for 24/7 information to help you find the care you need, or visit the Student Health Care Center website.
  • GatorWell Health Promotion Services: For prevention services focused on optimal wellbeing, including Wellness Coaching for Academic Success, visit the GatorWell website or call 352-273-4450.

May 2025

Mon Tue Wed Thu Fri
12
  • § 1.1/1.2 Sets & Cartesian Product
13
  • § 1.3/1.4 Subsets & Power Sets
14
  • § 1.5/1.6 Union, Intersection, Difference & Complement
15
  • § 1.7/1.8 Venn Diagrams & Indexed Sets
16
  • § 1.9/1.10 Number Systems & Russell’s Paradox
19
  • § 2.1/2.2 Statements & And/Or/Not
20
  • § 2.3/2.4 Conditional & Biconditional
21
  • § 2.5/2.6 Truth Tables & Logical Equivalence
  • Withdrawal with 25% Refund
22
  • § 2.7/2.8 Quantifiers & More Conditional
23
  • Exam 1
  • Fee Payments (3:30 pm)
26
  • Memorial Day
27
  • § 2.9/2.10 Translating English & Negation
28
  • § 4.1/4.2 Theorems & Definitions
29
  • § 4.3/4.4 Direct Proof & Cases
30
  • § 5.1/5.2 Contrapositive & Congruence

June 2025

Mon Tue Wed Thu Fri
2
  • § 6.1/6.2 Contradiction Proofs
3
  • § 6.3/6.4 Combining Techniques & Advice
4
  • § 7.1/7.2 If-and-Only-If & Equivalent Statements
5
  • § 7.3/7.4 Existence Proofs
6
  • Exam 2
9
  • § 8.1/8.2 How to Prove a ∈ A & A ⊆ B
10
  • § 8.3/8.4 Prove A = B & Examples: Perfect Numbers
11
  • § 9.1/9.2 Counterexamples & Disproving Existence
12
  • § 10.1/10.2 Proof by Induction & Strong Induction
13
  • § 10.3/10.4 Smallest Counterexample & FTA
16
  • § 10.5 Fibonacci Numbers
17
  • Problem Solving & Practice Session
18
  • Review
19
  • Juneteenth
20
  • Final Exam (Summer A)
  • Classes End