Math C100: Liberal Arts Mathematics

This text presents general mathematical ideas and tools used to solve practical problems including logic, sets, numbers, financial calculations, probability, statistics, and mathematics in politics, society, and the arts.

Mathematics

Tác giả: Chau D. Tran
Nhà xuất bản: Coastline College
Nguồn: LibreTexts
Giấy phép: CC BY
Ngôn ngữ: EN
Danh mục: Khoa học cơ bản

Đọc trực tuyến Tải PDF (nguồn mở)

Mục lục· 51 mục

01: Mathematics and Problem-Solving
1.01: Fallacies in Common Language
1.02: Propositions and Logic
1.03: Truth Tables
1.04: Analyzing Arguments
1.05: Problem Solving
02: Mathematics and Numbers
2.01: Estimating the Answer
2.02: Really Big and Really Small Numbers
2.03: Deceptive and Misleading Numbers
2.04: Percentages and Proportions
2.05: Conversions
03: Mathematics and Finance
3.01: Simple and Compound Interest
3.02: Annuities and Loans
3.03: Continuous Compounding
3.04: Federal Budgets and National Debt
04: Probability and Odds
4.01: Basic Concepts
4.02: Conditional Probability
4.03: Counting
4.04: Expected Value
05: Data and Statistics
5.01: Basics of Statistics
5.02: Describing Data
5.03: Numerical Measures of Center and Variation
5.04: Normal Distribution
06: Growth and Decay
6.01: Growth Models
6.02: Logarithmic Scales in Natural Sciences
6.03: The pH Scale
07: Mathematics and the Arts
7.01: Projective Geometry
7.02: The Golden Ratio and Fibonacci Sequence
7.03: Musical Scales
7.04: Fractals
08: Mathematics and Politics
8.01: Apportionment
8.02: Apportionment of Legislative Districts
8.03: Voting Theory
8.04: Weighted Voting
09: Selected Topics
9.01: Four Color Theorem
9.02: How Big is Infinity Or Is it Infinities
9.03: Seven Bridges of Konigsberg
9.04: Russells Paradox
9.05: Non-Euclidean Geometry
10: Appendix
10.01: Appendix A - Solution to Select Try it Now Questions
10.02: Appendix B - Solutions to Selected Exercises
10.03: References