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Math Tutoring Algebra  

Last Updated: Apr 16, 2013 URL: http://librarybissell.act.edu/mathalgebra Print Guide RSS UpdatesEmail Alerts
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Welcome!

In this section you can find material with explanations and examples in algebra. Each topic is divided into sub topics with detailed explanation on what is discussed. Material is in word format and can be download directly by clicking on the red titles.

Algebra I
1. Using letters for number
2. Substitution
3. Simplification of expressions
4. Indices

Algebra 2
1. Expanding brackets
2. Simple factorisation
3. Quadratic factorisation
4. Completing the square

Algebra 3
1. Solving simple equations
2. Evaluation and transposition of formulae

Algebra 4
1. Solving quadratic equations
2. Solving simultaneous equations

Algebra: Factorising and Long Division
1. Revision of multiplying brackets
2. Factorisation
3. Long division in algebra

Algebraic Fractions
1. Simplification
2. Multiplication & Division
3. Addition & Subtraction

Complex numbers
1. Introduction
2. Argand diagram
3. The four rules
4. Modulus-Argument form
5. Roots

Graphs 1
1. Introduction
2. Straight line graphs
3. Graphs of quadratics
4. Common types of graph

Graphs 2
1. Revision of straight line graphs and quadratics
2. Cubics
3. Quartics. 
4. Higher powers
5. Fractional functions
6. Modulus functions

Inequalities & Modulus
1. Introduction
2. Inequalities: (basic facts, solution, fractional functions)
3. Modulus: (meaning, solution of equations & inequalities)

Logarithms
1. Revision of indices
2. What are logarithms?
3. Rules for manipulation
4. Solving equations using logs
5. The straight line law
6. Graph of Inx and its inverse

Matrices
1. Introduction
2. Order, addition and subtraction
3. Equality
4. Multiplication
5. Identity and invers
6. Echelon method

Partial fraction & integration
1. Partial fractions
2. Integration using partial fractions

Vectors 1
1. What is a vector?
2. Arithmetic operations on vectors
3. Scalar (dot) product
4.Vector (cross) product

Vectors 2
1. Recap on vectors
2. Unit vectors, normals and bases
3. Vector equations of straight lines and planes
4. Intersections of lines and planes
5. Div, grad, curl & the laplacian

 

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