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- Week 3: Connected Subgraphs February 27, 2010
- Lattice Points, Dedekind Sums, and Ehrhart Polynomials of Lattice Polyhedra
- Math113 Introduction to Linear Algebra Spring 09 Brief Outline: This is an introductory course on linear algebra for year one students.
- Chapter 3: Vector Spaces March 16, 2009
- Week 6-7: The Binomial Coefficients October 13, 2009
- Planar Graphs and Regular Polyhedra March 25, 2010
- Chapter 5: Orthogonality April 30, 2009
- Week 1-2: Graphs and Subgraphs February 7, 2010
- Nonseparable Graphs March 18, 2010
- Determinants Beifang Chen
- Week 1: What is combinatorics? 1 What is combinatorics?
- Chapter 1: Systems of Linear Equations February 20, 2009
- Inner Product Spaces and Orthogonality week 13-14 Fall 2006
- Gauss-Bonnet formula, finiteness condition, and characterizations for graphs embedded in surfaces
- The Pick Theorem and the Proof of the Reciprocity Law for Dedekind Sums
- Graph Homotopy and Graham Homotopy Beifang Chen
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- Week 3-4: Permutations and Combinations September 17, 2009
- Week 4-5: Generating Permutations and Combinations March 10, 2011
- Week 8-9: The Inclusion-Exclusion Principle April 19, 2011
- Week 13-14: Special Counting Sequences May 12, 2011
- Chapter 2: Matrices and Determinants March 16, 2009
- Chapter 4: Eigenvalues and Eigenvectors April 17, 2009
- Vector Spaces and Linear Transformations Beifang Chen
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- Introduction to Analysis October 30, 2009
- Equivalence Relations and Functions November 26, 2010
- March 2, 2010 1 Forests and Trees
- Tree-Search Algorithms March 30, 2010
- Network Flows May 4, 2010
- Counting Lattice Points of Rational Polyhedra Beifang Chen
- Recurrence Relations and Generating Functions April 21, 2011
- Congruence of Integers November 24, 2010
- Math111 Linear Algebra Fall 2006 Brief Outline: This is a fully fledged course on linear algebra for Year One students.
- Connectivity April 29, 2010
- Math113 L1: Linear Algebra Midterm Exam (a) Dept of Math, HKUST, Spring 2004
- Subspace Arrangements of Curve Singularities and q-Analogs of the Alexander Polynomial
- Eigenvalues and Eigenvectors week 11-12 Fall 2006
- Week 2: The Pigeonhole Principle 1 Pigeonhole Principle: Simple form
- Matrices and Determinants Beifang Chen
- Systems of Linear Equations Beifang Chen
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- 1 Divisibility Given two integers a, b with a = 0. We say that a divides
- Oct. 15, 2004 1 Counting Principle
- Math132 Problem Set 7 1. For each of the following problems, determine whether the relation R on the set A is a tree. If it is a
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- Math132 Problem Set 5 Deadline: 8 Dec., 2003
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- Math132 L1: Discrete Structure Midterm Exam Dept of Math, HKUST, Fall 2003
- Binary Relations November 4, 2003
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- Math132: Problem Set 3 (Deadline: Friday, 15 Oct. 2004)
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- Math132: Problem Set 4 (Deadline: Friday, 29 Oct. 2004)
- Math132 Problem Set 5 Deadline: 8 Dec., 2003
- Graph Theory November 10, 2003
- Binary Relations November 4, 2003
- Problem Set 4 Deadline: 17 Nov. 2003
- Math132: Problem Set 2 (Deadline: 27 Sept. 2004)
- Binary Relations 1 Binary Relations
- Graph Theory 1 Graphs and Subgraphs