Linear algebra iii - Study guides, Study notes & Summaries

I. LOGIC AND PROBLEM SOLVING 1. Thinking Critically Activity: Bursting Bubble 1A. Living in the Media Age In Your World: Fact Checking on the Web 1B. Propositions and Truth Values 1C. Sets and Venn Diagrams Brief Review: Sets of Numbers 1D. Analyzing Arguments Mathematical Insight: Deductive Proof of the Pythagorean Theorem 1E. Critical Thinking in Everyday Life In Your World: Beware of “Up to” Deals 2. Approaches to Problem Solving Activity: Global Melting 2A. Understand, Solve, and Explain...

1 An Introduction to Combinatorial Problems and Techniques 1 1.1 The Time to Complete a Project . . . . . . . . . . . . . . . . . . . . . . . . . 1 1.2 AMatching Problem. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4 1.3 A Knapsack Problem . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4 1.4 Algorithms and Their Efficiency . . . . . . . . . . . . . . . . . . . . . . . . . 4 Supplementary Exercises . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5 ...

I. LOGIC AND PROBLEM SOLVING 1. Thinking Critically Activity: Bursting Bubble 1A. Living in the Media Age In Your World: Fact Checking on the Web 1B. Propositions and Truth Values 1C. Sets and Venn Diagrams Brief Review: Sets of Numbers 1D. Analyzing Arguments Mathematical Insight: Deductive Proof of the Pythagorean Theorem 1E. Critical Thinking in Everyday Life In Your World: Beware of “Up to” Deals 2. Approaches to Problem Solving Activity: Global Melting 2A. Understand, Solve, and Explain...

I. LOGIC AND PROBLEM SOLVING 1. Thinking Critically Activity: Bursting Bubble 1A. Living in the Media Age In Your World: Fact Checking on the Web 1B. Propositions and Truth Values 1C. Sets and Venn Diagrams Brief Review: Sets of Numbers 1D. Analyzing Arguments Mathematical Insight: Deductive Proof of the Pythagorean Theorem 1E. Critical Thinking in Everyday Life In Your World: Beware of “Up to” Deals 2. Approaches to Problem Solving Activity: Global Melting 2A. Understand, Solve, and Explain...

I. LOGIC AND PROBLEM SOLVING 1. Thinking Critically Activity: Bursting Bubble 1A. Living in the Media Age In Your World: Fact Checking on the Web 1B. Propositions and Truth Values 1C. Sets and Venn Diagrams Brief Review: Sets of Numbers 1D. Analyzing Arguments Mathematical Insight: Deductive Proof of the Pythagorean Theorem 1E. Critical Thinking in Everyday Life In Your World: Beware of “Up to” Deals 2. Approaches to Problem Solving Activity: Global Melting 2A. Understand, Solve, and Explain...

Chapter 1 VECTOR SPACES 1.1 Lecture 1 (Wednesday) 1.1.1 Three archetypical equations of linear algebra 1.1.2 Vector as an aggregate of entities 1.1.3 Vector space: Definition and Examples 1.1.4 Subspace of a vector space 1.2 Lecture 2 (Friday) 1.2.1 The Subspace Theorem 1.2.2 Spanning set 1.2.3 Linear independence (material for next lecture) 1.2.4 Basis; coordinates (material for next lecture) 1.2.5 Basis-induced isomorphism (material for next lecture) 1.3 Lecture 3 (Monday) 1.3.1...

I. LOGIC AND PROBLEM SOLVING 1. Thinking Critically Activity: Bursting Bubble 1A. Living in the Media Age In Your World: Fact Checking on the Web 1B. Propositions and Truth Values 1C. Sets and Venn Diagrams Brief Review: Sets of Numbers 1D. Analyzing Arguments Mathematical Insight: Deductive Proof of the Pythagorean Theorem 1E. Critical Thinking in Everyday Life In Your World: Beware of “Up to” Deals 2. Approaches to Problem Solving Activity: Global Melting 2A. Understand, Solve, and Explain...

I. LOGIC AND PROBLEM SOLVING 1. Thinking Critically Activity: Bursting Bubble 1A. Living in the Media Age In Your World: Fact Checking on the Web 1B. Propositions and Truth Values 1C. Sets and Venn Diagrams Brief Review: Sets of Numbers 1D. Analyzing Arguments Mathematical Insight: Deductive Proof of the Pythagorean Theorem 1E. Critical Thinking in Everyday Life In Your World: Beware of “Up to” Deals 2. Approaches to Problem Solving Activity: Global Melting 2A. Understand, Solve, and Explain...

I. LOGIC AND PROBLEM SOLVING 1. Thinking Critically Activity: Bursting Bubble 1A. Living in the Media Age In Your World: Fact Checking on the Web 1B. Propositions and Truth Values 1C. Sets and Venn Diagrams Brief Review: Sets of Numbers 1D. Analyzing Arguments Mathematical Insight: Deductive Proof of the Pythagorean Theorem 1E. Critical Thinking in Everyday Life In Your World: Beware of “Up to” Deals 2. Approaches to Problem Solving Activity: Global Melting 2A. Understand, Solve, and Explain...

I. LOGIC AND PROBLEM SOLVING 1. Thinking Critically Activity: Bursting Bubble 1A. Living in the Media Age In Your World: Fact Checking on the Web 1B. Propositions and Truth Values 1C. Sets and Venn Diagrams Brief Review: Sets of Numbers 1D. Analyzing Arguments Mathematical Insight: Deductive Proof of the Pythagorean Theorem 1E. Critical Thinking in Everyday Life In Your World: Beware of “Up to” Deals 2. Approaches to Problem Solving Activity: Global Melting 2A. Understand, Solve, and Explain...