# School:Mathematics

From Wikiversity Jump to navigation Jump to search**Welcome to the School of Mathematics!**

**FACULTY OF SCIENCES**

**FACULTY OF PHYSICAL SCIENCES · FACULTY OF LIFE SCIENCES · FACULTY OF ENGINEERING AND TECHNOLOGY · FACULTY OF MATHEMATICS**Biology · Chemistry · Computer Science ·Economics · Mathematics· Physics and Astronomy · The Lorenz attractor is a chaotic map, noted for its butterfly shape. The map shows how the state of a dynamical system evolves over time in a complex, non-repeating pattern. The attractor itself, and the equations from which it is derived, were introduced by Edward Lorenz in 1963, who derived it from the simplified equations of convection rolls arising in the equations of the atmosphere.

Since you're here, you either are someone wishing to share your knowledge of Mathematics, or you are someone who wishes to gain knowledge about Mathematics. If you are the first kind of person, have a look around, and see how you can contribute. If you are of the second kind, read on!

Mathematics has many facets; though it has a wealth of applications, Mathematics is also a science, and an art, in its own right. Like other sciences, Mathematics is useful, but, just like other forms of art, Mathematics is beautiful, in its own unique way. You might not see this beauty at first, but the main goal of the Wikiversity School of Mathematics is to let you see this beauty, through inquiry and learning. To achieve this goal, we want to inspire you, since inspiration is essential to learning, discovery, and ultimately, seeing the beauty of Mathematics. A little bit of inspiration can put the beauty of Mathematics, and all its facets, before your eyes.

The School of Mathematics is a work in progress. We are trying to organize our material into a logical order, create new material, and revise existing material. Although we try to keep clarity in mind, if any of the material is confusing, you don't know where to start, or you have other questions, *do not hesitate to pose your question at our help desk*. There is no such thing as a "dumb question"; learning is driven by questions!

The School of Mathematics wishes you a very warm welcome. We hope that you will benefit from what we have to offer, and we hope that we will benefit from what you have to offer, either now or in the future.

## Contents

- 1 Divisions and departments
- 2 Mathematics curriculum
- 3 School news and current events
- 4 Undergraduate-level study
- 5 Ask a question
- 6 Resources
- 7 External links
- 8 Active participants
- 9 International relations

## Divisions and departments[edit]

Divisions and Departments of the School exist on pages in "topic" name space. Start the name of departments with the "Topic:" prefix; departments reside in the Topic: namespace. Departments and divisions link to learning materials and learning projects. Divisions can link subdivisions or to departments. For more information on schools, divisions and departments look at the Naming Conventions.

To add additional Divisions or Departments within the School of Mathematics, edit the list of "Topic:" namespaces on the MathDeps Template.

- College Algebra
- Euclidean Geometry
- Ideas in Geometry
- High School Mathematics
- Primary School Mathematics
- Trigonometry

- Algebra
- Algebraic Geometry
- Algebraic topology
- Analysis
- Category theory
- Higher Dimensional Algebra
- Graph Theory
- Mathematical Logic & Foundations
- Number Theory
- Philosophy of Mathematics
- Topology

- Actuarial Mathematics
- Applied Calculus, Analysis, and Differential Equations
- Applied Category Theory
- Board Game Studies
- Combinatorics
- Complex Systems Biology
- Discrete Mathematics
- Engineering Mathematics
- Knot Theory
- Numerical Analysis
- Mathematical Physics
- Physical Mathematics
- Quantum Algebraic Topology
- Statistics

## Mathematics curriculum[edit]

This Wikiversity School of Mathematics project aims to create a structured set of links to learning material and test questions for the mathematics curriculum. To start, the recently released Australian national senior secondary school curriculum is being used as a guide. It is possible to create a similar structure based on the curriculum of alternative educational systems, but copy some of the same links and material identified below. If you'd like to do this, please create another heading in this section. Alternatively, please feel free to contribute to the project based on the Australian structure. This structure is fairly generic.

### Australian national senior secondary school mathematics curriculum[edit]

These headings will provide links to pages detailing the senior secondary school mathematics curriculum. It will be used to identify material on Wikiversity and other Wikimedia sites that might be useful to students and their supporters. It will also help show the links between different areas of the curriculum and where studying mathematics might take them in the future; in other words, some possible answers to the eternal question, "why should I learn this?" and help show students the doors that will open to them by learning to see the world mathematically. The recently released Australian national senior secondary school mathematics curriculum will be used as a guide for this Wikiversity School of Mathematics project. (This material is based on the curriculum developed by the Australian Curriculum, Assessment and Reporting Authority (ACARA), which states its curriculum material can be downloaded, copied, printed and communicated for personal or non-commercial purposes, including educational or organisational use under a Creative Commons licence: copyright information)

## School news and current events[edit]

**March 2008**140-year-old math problem solved by researcher**April 2007**E8 mapped...**August 20, 2006**- School founded!

## Undergraduate-level study[edit]

### Study guides[edit]

Not sure where to start? Consult the following guides to help you make a study plan and determine which prerequisites you might be missing.

### Course categories[edit]

- Applied Mathematics (mathematical methods, mathematical physics)
- Pure Mathematics (foundations, algebra, analysis, calculus, discrete math)
- Probability and Statistics
- Math contest preparation
- All Courses (Course Catalog)
- Nonkilling Mathematics--would fit better under Ethics and Philosophy

## Ask a question[edit]

Have a question about mathematics? Ask it at our help desk!

## Resources[edit]

### Lectures[edit]

### Video courses[edit]

- Stillwater AP Calculus Tutorial Videos
- Open Course Ware by MIT contains lectures for most of the topics in
**College level mathematics** - NPTEL's Basic courses and Mathematics includes many lectures on subjects in mathematics. Recommended for
**Engineering mathematics** - Harvard University Extension School offers lectures in many subjects. Recommended for
**Abstract Algebra**[1]. - Khan Academy which has a youtube channel with many easy to understand math videos from arithmetics to calculus and linear algebra. Recommended for
**School level mathematics** - Chycho, has videos on Youtube organized by kpsssubject. Author uses big chalk and street walls for presentation of material.
- MathTV's Youtube channel
- MathTV's website with the material organized by subject. They say they may start charging, but the videos will still be accessible on Youtube.
- Is all about Math video podcast with animations explaining math.
- Patrick Just Math Tutorials patrickjmt.com is a math only website with extensive free math content; he also has a youtube channel, 'patrickjmt.'
- [2] the Technion YouTube playlist channel contains lectures for many university level subjects, mostly in Hebrew.

### Wikibooks[edit]

- Browse Textbooks
- Mathematics bookshelf
- Beginning Mathematics
- High School Mathematics Extensions
- Geometry
- Algebra
- Trigonometry
- Calculus
- Applied Math Basics
- Differential Equations
- Applied Mathematics
- Cryptography
- Discrete mathematics
- Complex Analysis
- A-level Mathematics

### Wikipedia[edit]

- Mathematics
- Areas of Mathematics
- List of Mathematics Topics
- List of Mathematical Symbols
- List of Mathematics Encyclopedias

### Free Software[edit]

- GNU Octave - A computational program similar to (and mostly compatible with) MATLAB
- SciPy - A Python library for mathematical and scientific computing
- Maxima - A computer algebra system
- SINGULAR - A computer algebra system
- GAP - A tool for computational group theory
- R - A programming language designed for statistical computing
- FreeMat - An open source Matlab clone
- SAGE - A packaging of many of the above software tools and more
- Pari/GP - "a computer algebra system with the main aim of facilitating number theory computations" (from Wikipedia)
- Mathics Mathics is a free, general-purpose online computer algebra system featuring Mathematica-compatible syntax and functions.
- See a full list along with some commercial tools at our mathematics software page.

### Other[edit]

## External links[edit]

- Teachoo - Mathematics Resources with Questions & Solutions for School students
- PlanetMath a free, collaborative, online mathematics encyclopedia.
- PlanetPhysics a free, collaborative, online physics encyclopedia.
- Stillwater AP Calculus Tutorial Videos
- A large list of cost-free online mathematics textbooks
- Open Textbook Initiative - mix of free-licensed and low-cost, non-free-licensed mathematics class-tested textbooks supported by the American Institute of Mathematics
- Free online math practice with instructional videos for K-6.
- Mathematics notes and books for undergraduates and graduate students.
- An interesting perspective on mathematics.
- 'are new mathematical truths discovered or invented?'
- Collection of Math Problems & Answers adapted to the student ability
- MC2 Math Links - a collection of 486 free online Math tools: calculators, plotters and interactive visualizations.

## Active participants[edit]

The histories of Wikiversity pages indicate who are the active participants (listed below). If you are an active participant in this school, you can list your name here (this can help small schools grow and the participants communicate better; for large schools it is not needed).

- Since 7 January 2012 with Mathematical astronomy --Marshallsumter (discuss • contribs) 03:01, 17 April 2018 (UTC)

### Inactive participants[edit]

- Parth Kohli (Set Theory, Calculus, Algebra, Trigonometry, Logic, Applied Mathematics)
- TortoiseDream (Logic, Set Theory, Mathematical Physics)
- Tastymangojuice (Computer Science)
- ehremo
- Deltinu
- EulerGamma
- Ravi12346
- Lucas Gallindo
- Pgbridge2000 (Cryptography)
- Tachyon01 (Pure Mathematics)
- fidocancan (pre-uni teacher)
- Mo Anabre
- sutton
- Drini
- Ananth nag m
- TeapotScar (Calculus, Number Theory, Topology)
- pbran7
- Juan (Topology, Algebra, Geometry and Analysis)

- King Bee (graduate student in pure mathematics)
- Verin Sedai (Algebra, Combinatorics, basic number theory)
- haresh kumar(analytic geometry,calculus)
- A.K.Karthikeyan(True knowledge lies in knowing you know nothing)
- Tlep (Algebra)
- Bigyan Shrestha (Mathematical Statistics)
- Rogerh
- Madhur Sarin (Number system,Geometry,Calculus )
- AFriedman (Computer Science, Biology)
- User:fibonacci101 (Geometry, number theory, set theory)
- User:mathclubowner
- Helloworld00
- graie
- mynameinc (Algebra, Trigonometry, Differential Calculus)
- Comrade1986 (Mathematics)
- user:WendyB (Mathematics student)
- user:Alchemy heels I (Mathematics student)
- John Michael Pinson I (Numerology, Mathematics student)
- Tarun-Science (I;m a 15-year-old intersted in Physics, Mathematics and Chemistry..good in geometry and algebra)

## International relations[edit]

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