Math 283 Spring 2015
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
Web goodies
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.