MATH 1001 FUNDAMENTAL CONCEPTS OF MATHEMATICS |
Syllabus:
Set Theory and Operations; Logics and Truth Table; Mathematical Proof Strategies:
Direct Proof, Proof by Contrapositive, Proof by Cases, Proof by Contradiction, Mathematical Induction;
Functions; Equivalence Relations; Limits of Sequences; Basic Group Theory etc.
Instructor: Dr Wai-Ki CHING (Room 414, Run Run Shaw Building, Email: wching@hkusua.hku.hk).
Consultation Hours: WED 9:00-12:00
Tutor: Mr Ka-Ho LAW (Run Run Shaw Building Room 311, Email: lawkaho@graduate.hku.hk)
Consultation Hours: MON 11:30-13:30.
Time Table: TUE (9:30-11:25) [Lectures ] and THU (10:30-11:25) [Demonstration Class]
Reference: Gray Chartrand, Albert D. Polimeni and Ping Zhang (2008) Mathematical Proofs: A Transition to Advanced Mathematics Boston : Pearson/Addison-Wesley. [511.36 C486 m42]
Method of Assessment: Assignments, Tests, Quizzes and Final Examination.
Use of Help Room (Run-Run Shaw Room 404) Mon, Tue and Thu (3:00-6:00pm).
Test IV on 2 Dec. 2010 in Lecture room P3 (instead of P1). Contents: Part IV.
Assignments in PDF: Assignment One, Assignment Two, Assignment Three, Assignment Four.