# Mathematical Concepts

 Times: Tuesdays and Thursdays, 10:50-12:05 (A) or 3:05-4:20 (B) Anderson Hall 118 (A) or University Hall B-650 (B) Soroosh Yazdani University Hall C-540

This class will cover some of the basic materials in Mathematics. The focus of the class is on proof writing, and solving math problems. Some topics covered towards this goal are

• Basic set theory
• logic and proofs
• Functions
• Equivalence relations
• Induction
• Countable and uncountable sets

The grading scheme for this class will be

• 10% homeworks and quizzes
• 20% midterm 1 (February 14th)
• 20% midterm 2 (March 13th)
• 50% final

Homeworks:

Tutorials:

Other suggested problems from the text: 1.4, 1.5, 1.7, 1.8, 1.9, 1.11, 1.16, 1.18, 1.22, 1.24, 1.27, 1.28, 1.29, 1.31, 1.43, 1.44, 1.48, 1.49, 1.53, 1.56, 1.58, 1.59, 2.3, 2.9, 2.10, 2.11, 2.13, 2.14, 2.15, 2.19, 2.21, 2.28, 2.30, 2.31, 2.33, 2.35, 2.37, 2.38, 2.39, 2.41(a,b), 2.43, 2.44, 2.45, 2.47, 2.48, 2.49, 2.56, 2.58, 2.59, 2.60, 2.63, 2.65, 2.66

Some more suggested problems from text: 3.2, 3.4, 4.5, 3.6, 3.7, 3.8, 3.9, 3.11,3.14, 3.15, 3.19, 3.20, 3.21, 3.23, 3.24, 3.25,3.27, 3.29, 3.30, 3.32, 3.37, 3.40, 3.41, 3.42, 3.47, 4.1, 4.3, 4.5, 4.6, 4.7, 4.9, 4.12, 4.13, 4.15, 4.17, 4.18, 4.20, 4.21, 4.26, 4.49, 4.50, 4.54,4.56, 4.58, 4.59, 4.60, 4.61, 4.62, 4.63, 4.64, 4.66, 5.10, 5.12, 5.16, 5.23, 6.4, 6.5, 6.6, 6.9, 6.11

Sample Final

List of sections we've covered in class: Chapter 1 (except for section 1.5), Chapters 2, 3, 4, Sections 5.2, 5.3, 6.1, 6.2, Chapter 8 (except for 8.1), Chapter 9 (except for 9.7)