Math 283 Spring 2015

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Course Information[edit]

Description: Intro Concepts of Mathematics.

Instructor: Casian Pantea. email me

Class schedule: MWF 8:30-9:20AM in Armstrong 415

Office hours: Mondays 5-6PM, Fridays 11:30-12:30PM, and by appointment, in Armstrong Hall 305B

Info sheet containing more or less the stuff on this webpage.

Textbooks and resources[edit]

Textbook:

Velleman, How to prove it. A Structured Approach

Useful free resources:

Alternative textbook

Hammack, Book of Proof

Web goodies

Wikipedia
Khan Academy


Evaluation[edit]

Grading scheme[edit]

  • 30% Final exam on Thursday May 7 2014, 8-10AM in Armstrong Hall room 415
  • 40% Two midterm exams (2x20%)
  • 20% Quizzes
  • 10% Homework assignments
  • Letter grades will be assigned according to the scheme
A 90-100% | B 80-90% | C 70-80% | D 60-70% | F 0-60%

Quizzes[edit]

  • There will be six 10-minute quizzes (one every two weeks); best five will count towards your grade.
  • Quizzes will test the material covered during the previous two weeks.
  • No make-up quizzes will be given.

Homework[edit]

  • Homework will be assigned once every two weeks, and due two weeks later (please see the course schedule below for exact dates).
  • Your best five homework papers will count towards the final grade.
  • Late turn-ins will not be accepted.

Midterms[edit]

  • There will be two 50-minutes in-class midterm exams, on February 16 and March 18.
  • Midterm exams will test material covered after the previous midterm (they are not cumulative).
  • Calculators will not be allowed.

Final Exam[edit]

  • Thursday May 7 2015, 8-10AM in Armstrong 415.
  • Final is cumulative.

Course Schedule (updated as we go along)[edit]

Date Topic Resources HW/Quiz
Jan 12 Introduction Evaluation Test
Jan 14 Logical connectives 1.1
Jan 16 Truth tables 1.2
Jan 21 Truth tables 1.2
Jan 23 Variables and sets 1.3
Jan 26 Operations on sets 1.4 Quiz1
Jan 28 Conditional connectives 1.5
Jan 30 Review of propositional logic 1.1-1.5
Feb 2 Quantifiers 2.1 HW1 due
Feb 4 Quantifiers 2.2
Feb 6 More set operations 2.3
Feb 9 Proofs 3.1 Quiz2
Feb 11 Proofs 3.2
Feb 13 Proofs 3.2
Feb 16 Midterm 1 HW2 due
Midterm 1 solutions
Feb 18 Proofs 3.3-3.4
Feb 20 Proofs 3.5
Feb 23 Proofs 3.6 Quiz3
Feb 25 Problem session
Feb 27 Functions 5.1
Mar 2 Functions 5.1 HW3 due
Mar 4 Functions 5.1
Mar 6 Functions 5.2
Mar 9 Functions 5.2 Quiz 4
Mar 11 Functions 5.3
Mar 13 Functions 5.3
Mar 16 Problem session HW4 due
Mar 18 Midterm 2 Midterm 2 solutions
Mar 20 Problem session
Mar 30 Induction 6.1
Apr 1 Induction 6.2
Apr 6 Induction 6.3 Quiz 5 solutions
HW5 due
Apr 8 Strong induction 6.4
Apr 10 Combinations
Apr 13 Binomial expansions
Apr 15 Problem session
Apr 17 Divisibility
Apr 20 Equivalence relations 4.6 Quiz6
HW6 due
Apr 22 Infinite sets 7.1
Apr 24 Countable/Uncountable sets 7.2
Apr 27 Cantor-Schroeder-Bernstein Theorem 7.3
Apr 29 Cantor-Schroeder-Bernstein Theorem 7.3
May 1 Definition of limit
May 7 Final exam 8-10AM in Armstrong Hall 415 Final exam solutions

Where does your score stand?[edit]

Inclusivity statement[edit]

The West Virginia University community is committed to creating and fostering a positive learning and working environment based on open communication, mutual respect, and inclusion. If you are a person with a disability and anticipate needing any type of accommodation in order to participate in this class, please advise me and make appropriate arrangements with the Office of Accessibility Services (293-6700). For more information on West Virginia University's Diversity, Equity, and Inclusion initiatives, please see http://diversity.wvu.edu.