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Mathematics 1


	Mathematics & Statistic Tutor Perth - SPSS Help

Tutorial Topic One

Equation of a straight line, Domain of function,
Limits, Continuity, Vertical/Horizontal Asymptotes
Completing the square factorisation,
Transformation of Graphs, Composite Functions and Domains, Inverse Functions

Tutorial Topic Four

Equation of tangent line, Linear Approximation, Differentials,
Absolute Maximum/ Minimum, Increasing and Decreasing Concave up and down, Antiderivative or Integral, Applied Integration to find original function,
Integration by substitution Trig and Basic

Tutorial Topic Seven

Vector Operations Unit vectors Angle between vectors using the Dot Product
Scalar and Vector Projections Work done by Force using Vectors
Orthogonal vectors via Cross Product
Coplanar points using Scalar Triple Product

Tutorial Topic Ten

Inverse of a 2 x 2 matrix Finding the determinant of a Matrix by co-factors
Using row operations to help find the determinant
Cramer’s Rule
Linearly Independent or Dependent Vectors
Finding Eigenvalues


	Tutorial Topic Two Angles in right angled triangle, Odd / Even functions, Sine and Cosine Rules, Trig. Transformations, Solving Trig. Equations

	Tutorial Topic Five Fundamental Theorem of Calculus (Differentiating an Integral) Definite Integral (Integrating with limits) Integration with substitution when x terms do not disappear Integrating Trig with substitution Improper Integral Differentiating logarithms, Taking logarithms to make differentiate easier, Integrating logarithms using substitution Area between two curves

	Tutorial Topic Eight Parallel vectors Lines in 3 Dimensions Distance from a point to a plane Matrix Operations Inverse Matrix Reduced and Row Echelon form Using Matrices to solve a system of equations by Gaussian Elimination

	Tutorial Topic Eleven Finding Eigenvalues and corresponding eigenvectors Complex numbers operations Complex and exponential form to Cartesian Form Complex Cartesian Form to Polar Complex De Moivre’s Theorem for Complex Number to a Power De Moivre’s Theorem for Complex Number to a Fractional Power Regions in a Complex Plane


	Tutorial Topic Three Solving Trig Equations using Simple Trig Identities, Simple Trig identities, Graph of Derivative, Differentiation with functions, Differentiation Product and Quotient Rules Basic and Trig, Trig Basic and Chain Differentiation Polar Co-ordinates, Applied Trig Differentiation

	Tutorial Topic Six Differentiation involving e^x Logarithm RulesDifferentiation involving Logarithms Exponential Growth Limits that are 0/0 using L’Hopital’s Rule

	Tutorial Topic Nine Rank of a matrix Explanation of Rank with number of solutions in Matrix Unique, Infinite and no solutions involving matrices Inverse of a 3 x 3 Matrix Solving equations using inverse of Matrix Finding determinant of a 2 x 2 Matrix


	[Home] [Equation of straight line] [Domain of Function] [Limits] [Continuity] [Asymptotes] [Completing the square] [Transformation of Graphs] [Composite Functions Example] [Inverse of function] [Formula]