Chapter 1: All Sections (3 weeks)
Conditionals, Biconditionals, Quantifiers, Proof Methods
Chapter 2: 2.1-2.4 (2 weeks)
-Set Theory, Set Operations, Families
of Sets, Induction
Chapter 3: 3.1-3.2 (1 week)
-Cartesian Products, Relations,
Chapter 4: 4.1-4.5 (3 weeks)
-Functions, One-to-one, Onto
Chapter 5: 5.1-5.3 (2 weeks)
primary goal of Math 225 is to prepare you for upper level courses in mathematics, especially courses that
rely on understanding and writing mathematics. The course includes an introduction to the
format of definition, theorem and proof, the design and writing of logical arguments and
formal proofs, and techniques of problem solving in higher level mathematics. During the
semester, fundamental concepts in several areas of mathematics are introduced, partly to
show the structure of mathematical writing in different contexts, but also to lay the
foundations for higher level courses such as abstract algebra and analysis.
(10% of final grade), due Thursdays
(but not always)
2. Three in-class exams (60%)
Tentative Dates: Thursday February 11,
Thursday March 11, Thursday April 22
3. Final Exam (30%) Thursday May 6 8:00-11:00 am
90%-100%:A, 80%-89%: B, etc. (+ and - will also be used.)
1. I encourage you to discuss homework with other students, or with me
during office hours. You should be aware that the homework is intended
for you to learn from the course; working on homework at least in part
on your own will help you master the material, keep up with the course
and prepare for tests. Homework will be graded on a scale of 1-10.
Points will be awarded for amount of homework attempted; selected
problems will be graded in detail.
2. I expect you to read sections of the book around the time of
lectures and homework from those sections. The book has additional
examples and discussion that you will find helpful. Some test questions
may resemble examples from the book.
3. You are expected to attend all classes on time. Classroom discussion
and questions in class help clarify issues in this course, so please
feel free to participate by asking questions.
4. Arriving late for a class or leaving early is very disruptive of
class. If you need to leave early, please let me know at the beginning
of class, and sit near the door so you can slip out quietly.
5. If you are unavoidably absent from a test, a score for that test
will be assessed at the end of the semester, based on your performance
in homework, the other tests, and on the final, with an emphasis on the
material of the missed test. View NC State's attendance
Students are expected to follow university
policies on academic integrity and the Honor
If you are ill with symptoms of H1N1 influenza (i.e. fever over 100,
sore throat, cough, stuffy or runny nose, fatigue, headache, body
aches, vomiting and diarrhea) please do not come to class. Instead,
immediately contact your medical provider or Student Health Services
(515-7107) for advice or to arrange an appointment. If you are
diagnosed with H1N1, please inform your instructor immediately. You
will be required to be isolated away from class until at least 24 hours
after you are free of fever (100 degrees), or signs of a fever, without
the use of fever-reducing medications.
Reasonable accommodations will be made for students with verifiable
disabilities. In order to take advantage of available
accommodations, students must register with Disability Services for
Students at 1900 Student Health Center, Campus Box 7509,
515-7653. For more information on NC State's policy on working
with students with disabilities, please see the Academic Accommodations
for Students with Disabilities Regulation (REG02.20.1).