Mathematics for Physics
The module covers concepts such as: Patterns Basic Algebra Solving Equations Unit Conversion Algebra Problem Solving
www.jcu.edu.au/students/learning-centre Mathematics for Physics
Contents
1. What is Algebra? 2. Glossary 3. Patterns and Simple Algebra 4. Some Basic Algebra Rules 5. Addition and Multiplication Properties 6. Collecting Like Terms 7. Solving Equations 8. Rearranging Formulas 9. Measurement Units 10. Approaching Problem Solving 11. Answers 12. Helpful Websites
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1. What is Algebra
Algebraic thinking spans all areas of mathematics. It goes beyond simply manipulating symbols, to understanding mathematical structure and exploring generalisations. It involves forming and recognising number relationships, and expressing these relationships using symbols. Developing algebraic thinking is best achieved through practical problem solving.
For example: When describing an odd number, we could say that, ‘An odd number is any number that when divided by two will leave a remainder of one’. This sentence describes the mathematical concept of odd numbers. We can also describe this relationship using algebra: