Professor Holz' Topics in Contemporary Mathematics

Mathematics

Tác giả: Daniel Holz
Nhà xuất bản: SUNY Schenectady County Community College
Nguồn: LibreTexts
Ngôn ngữ: EN
Danh mục: Khoa học cơ bản

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Mục lục· 52 mục

01: Logic
1.01: Symbolic Language
1.1.01: Introduction
1.1.02: Statements and Quantifiers
1.1.03: Compound Statements
1.02: Truth Tables
1.2.01: Truth Tables- Conjunction (and) Disjunction (or) Negation (not)
1.2.02: Truth Tables- Conditional Biconditional
1.03: Advanced Truth Tables
1.04: Logical Arguments
1.4.01: Evaluating Deductive Arguments with Truth Tables
1.4.02: Arguments
1.05: Arguments Forms
02: Sets and Counting
2.01: Sets and Set Operations
2.1.01: Basics of Sets
2.1.02: Union Intersection and Complement
2.02: Trees and Counting Principle
2.2.01: Tree Diagrams Tables and Outcomes
2.2.02: The Multiplication Rule for Counting
2.03: Permutations and Combinations
2.3.01: Permutations
2.3.02: Combinations
2.04: Probability
2.4.01: Introduction to Probability
2.4.02: Basic Concepts
2.05: Probability Trees
2.5.01: Probability Using Tree Diagrams and Combinations
2.5.02: Probability Using Tree Diagrams and Combinations (Exercises)
03: Number Bases and Modular Arithmetic
3.01: Binary Numbers
3.1.01: Bases
3.1.02: Binary (base 2)
3.02: The Development and Use of Different Number Bases
3.03: Addition and Subtraction with Other Bases
3.04: Calculator Shortcut for Modular Arithmetic
3.05: Cryptography
3.5.01: Cryptography
3.5.02: Substitution Ciphers
3.5.03: Public Key Cryptography
04: Population Growth Models
4.01: Linear (Algebraic) Growth
4.02: Linear (Algebraic) Growth
4.03: Exponential (Geometric) Growth
4.04: Logarithmic Functions
4.05: Solve Exponentials for Time- Logarithms
05: Financial Mathematics
5.01: Simple Interest
5.02: Compound Interest
5.03: Annuities
5.04: Loans
5.05: Solving For Time