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The tangent Function Ex 14J

The tangent Function Ex 14J

Further symmetry properties and the Pythagorean identity

Further symmetry properties and the Pythagorean identity

Leslie Matrices

Leslie Matrices

Applying function notation

Applying function notation

Piecewise functions

Piecewise functions

one to one functions and implied domain

one to one functions and implied domain

Functions

Functions

Relations, domain and range

Relations, domain and range

Distance and midpoint

Distance and midpoint

Crashing

Crashing

Scheduling problems

Scheduling problems

Precedence tables and activity networks

Precedence tables and activity networks

Matching and allocation problems

Matching and allocation problems

flow problems

flow problems

Trees and minimum connector problems

Trees and minimum connector problems

Weighted graphs and networks

Weighted graphs and networks

Exploring and travelling

Exploring and travelling

Adjacency matrices

Adjacency matrices

Graphs and Networks

Graphs and Networks

Binary Permutation communication and dominance matrices

Binary Permutation communication and dominance matrices

Matrix powers

Matrix powers

Matrix arithmetic product of two matrices

Matrix arithmetic product of two matrices

Matrix Arithmetic Addition subtraction scalar multiplication

Matrix Arithmetic Addition subtraction scalar multiplication

Using matrices to represent information

Using matrices to represent information

What is a matrix, Matrix representation

What is a matrix, Matrix representation

Fitting a trend line and forecasting

Fitting a trend line and forecasting

Seasonal indices

Seasonal indices

Smoothing a time series plot using moving medians

Smoothing a time series plot using moving medians

Smoothing a time series using moving means

Smoothing a time series using moving means

Time series data

Time series data

The reciprocal transformation

The reciprocal transformation

The log transformation

The log transformation

The squared transformation

The squared transformation

The Circle of transformations

The Circle of transformations

Performing a regression analysis

Performing a regression analysis

Correlation and causality

Correlation and causality

Investigating the association between a numerical and a categorical variable

Investigating the association between a numerical and a categorical variable

Investigating associations between categorical variables

Investigating associations between categorical variables

The normal approximation to the binomial distribution

The normal approximation to the binomial distribution

Solving problems using the normal distribution

Solving problems using the normal distribution

Determining normal probabilities

Determining normal probabilities

Standardisation and the 68-95-99.7% rule

Standardisation and the 68-95-99.7% rule

The Normal Distribution

The Normal Distribution

Transition matrix modelling

Transition matrix modelling

Using Recursion to generate state matrices

Using Recursion to generate state matrices

Interpreting transition matrices

Interpreting transition matrices

Finding the sample size Ex 14C

Finding the sample size Ex 14C

Applications of inverse matrix - solving simultaneous linear equations

Applications of inverse matrix - solving simultaneous linear equations

Setting up a transition matrix from a transition diagram

Setting up a transition matrix from a transition diagram

The inverse matrix

The inverse matrix

Exponential growth and decay

Exponential growth and decay

Solution of exponential equations using logarithms

Solution of exponential equations using logarithms

Inverses of exponential and logarithms

Inverses of exponential and logarithms

Compound interest investments with regular additions

Compound interest investments with regular additions

Determining rules for log and exponential graphs

Determining rules for log and exponential graphs

Graphing logarithmic functions

Graphing logarithmic functions

The exponential function e

The exponential function e

Exponential functions

Exponential functions

Perpetuities

Perpetuities

Annuities

Annuities

Interest only loans

Interest only loans

Inverse of a 2X2 matrix for transformations

Inverse of a 2X2 matrix for transformations

Using matrices for transformations

Using matrices for transformations

Determining rule for a function from its graph

Determining rule for a function from its graph

transformations of power functions

transformations of power functions

Using finance solver to analyse reducing balance loans

Using finance solver to analyse reducing balance loans

Using transformations to sketch graphs in class teaching

Using transformations to sketch graphs in class teaching

Determining transformations in class teaching

Determining transformations in class teaching

Compound interest investments with regular additions to principal

Compound interest investments with regular additions to principal

Perpetuities

Perpetuities

Annuities

Annuities

Interest only loans

Interest only loans

Using Financial solver to analyse reducing balance loans

Using Financial solver to analyse reducing balance loans

Analysing reducing balance loans with recurrence relations

Analysing reducing balance loans with recurrence relations

Analysing reducing balance loans with recurrence relations in class teaching

Analysing reducing balance loans with recurrence relations in class teaching

Combinations of transformations in class teaching

Combinations of transformations in class teaching

Reflections in class teaching

Reflections in class teaching

Dilations

Dilations

Combining geometric growth and decay class teaching

Combining geometric growth and decay class teaching

Nominal and effective interest rates class teaching

Nominal and effective interest rates class teaching

Rules for nth term in a sequence geometric modelling class teaching

Rules for nth term in a sequence geometric modelling class teaching

Modelling geometric growth and decay class teaching

Modelling geometric growth and decay class teaching

Rules for nth term in a sequence linear modelling class teaching

Rules for nth term in a sequence linear modelling class teaching

Modelling linear growth and decay class teaching

Modelling linear growth and decay class teaching

Recurrence relations class teaching

Recurrence relations class teaching

Sequences class teaching

Sequences class teaching

Translations

Translations

Applications of functions

Applications of functions

Power Functions

Power Functions

Inverse functions

Inverse functions

Composite functions

Composite functions

Sums and products of functions

Sums and products of functions

More Integration questions answered

More Integration questions answered

Integration Chapter Review questions

Integration Chapter Review questions

Applications of Integration

Applications of Integration

Area of region between 2 curves

Area of region between 2 curves

Integration Miscellaneous exercises

Integration Miscellaneous exercises

Integration questions answered

Integration questions answered

Integration Questions Ex11C and Ex11D

Integration Questions Ex11C and Ex11D

Determining the equation of the least squares line

Determining the equation of the least squares line

Least squares regression line

Least squares regression line

Which Graph

Which Graph

The Coefficient of Determination

The Coefficient of Determination

Calculating the Correlation Coefficient

Calculating the Correlation Coefficient

Interpreting Scatterplots

Interpreting Scatterplots

Investigation associations between two numerical variables

Investigation associations between two numerical variables

Association between categorical variable

Association between categorical variable

Response and Explanatory Variables

Response and Explanatory Variables

Combining geometric growth and decay

Combining geometric growth and decay

Nominal and effective interest rate

Nominal and effective interest rate

Rules for nth term for geometric growth and decay

Rules for nth term for geometric growth and decay

Modelling geometric growth and decay

Modelling geometric growth and decay

Rules for nth term for linear growth and decay

Rules for nth term for linear growth and decay

Modelling linear growth and decay

Modelling linear growth and decay

Recurrence Relations

Recurrence Relations

Sequences

Sequences

Reciprocal functions and Pythagorean identity

Reciprocal functions and Pythagorean identity

Related rates

Related rates

Zeno paradox and infinite geometric series

Zeno paradox and infinite geometric series

Geometric series

Geometric series

Geometric sequences

Geometric sequences

Arithmetic series

Arithmetic series

Arithmetic sequences

Arithmetic sequences

Introduction to sequences

Introduction to sequences

Standard Scores

Standard Scores

The normal distribution and the 68-95-99.7% rules

The normal distribution and the 68-95-99.7% rules

Describing centre and spread of symmetric distributions

Describing centre and spread of symmetric distributions

The 5 number summary and the boxplot

The 5 number summary and the boxplot

Ex 2B Median, range, IQR

Ex 2B Median, range, IQR

Dot plots and stem plots

Dot plots and stem plots

Using a log scale to display data

Using a log scale to display data

Displaying and describing numerical data

Displaying and describing numerical data

Displaying and describing categorical data

Displaying and describing categorical data

Classifying Data

Classifying Data

Expanding special products

Expanding special products

Expanding the brackets

Expanding the brackets

Scientific notation and significant figures

Scientific notation and significant figures

More index laws and index properties

More index laws and index properties

Introduction to index laws

Introduction to index laws

The Tangent Function

The Tangent Function

Symmetry Properties

Symmetry Properties

Graphing using polar coordinates

Graphing using polar coordinates

Parametric equations

Parametric equations

Hyperbolas

Hyperbolas

Antiderivatives involving inverse circular functions

Antiderivatives involving inverse circular functions

Antidifferentiation

Antidifferentiation

Differentiation

Differentiation

Derivatives of inverse circular functions

Derivatives of inverse circular functions

Second derivatives

Second derivatives

Derivatives of x=f(y)

Derivatives of x=f(y)

Inverse functions

Inverse functions

Miscellaneous exercises

Miscellaneous exercises

Hybrid Functions

Hybrid Functions

Special types of functions and maximal domain

Special types of functions and maximal domain

Functions

Functions

Relations, domain and range

Relations, domain and range

Set notation and sets of numbers

Set notation and sets of numbers

Circles and semi circles

Circles and semi circles

sqaure root x

sqaure root x

Truncus

Truncus

Rectangular Hyperbola

Rectangular Hyperbola

Quadratic Models

Quadratic Models

Determining quadratic rules

Determining quadratic rules

Solving Quadratic inequations

Solving Quadratic inequations

Solving simultaneous linear and quadratic equations

Solving simultaneous linear and quadratic equations

The discriminant

The discriminant

The Quadratic Formula

The Quadratic Formula

Sketching graphs in polynomial form

Sketching graphs in polynomial form

Completing the square

Completing the square

Graphing Quadratics

Graphing Quadratics

Quadratic Equations

Quadratic Equations

Expanding and collecting like terms

Expanding and collecting like terms

Factorising

Factorising

Solutions of Simultaneous equations using matrices

Solutions of Simultaneous equations using matrices

Identities inverses and determinants of 2 by 2 matrices

Identities inverses and determinants of 2 by 2 matrices

Multiplication of Matrices

Multiplication of Matrices

Introduction to Matrices

Introduction to Matrices

Addition subtraction and Multiplication by a scalar

Addition subtraction and Multiplication by a scalar

Linear Models

Linear Models

Midpoint of a line segment

Midpoint of a line segment

Applications of simultaneous equations

Applications of simultaneous equations

Angles between intersecting lines

Angles between intersecting lines

Finding the Equation of a Straight Line

Finding the Equation of a Straight Line

Equation of a straight line in intercept form and sketching graphs

Equation of a straight line in intercept form and sketching graphs

The General Equation of a straight line

The General Equation of a straight line

The tangent of the angle of slope and perpendicular lines

The tangent of the angle of slope and perpendicular lines

The Gradient of a straight line

The Gradient of a straight line

The distance between two points part 2

The distance between two points part 2

The distance between two points part 1

The distance between two points part 1

Using and Transposing formulae

Using and Transposing formulae

Solving Linear Inequations

Solving Linear Inequations

Constructing and solving Simultaneous linear Equations

Constructing and solving Simultaneous linear Equations

Simultaneous Equations

Simultaneous Equations

Constructing linear equations

Constructing linear equations

Linear Equations

Linear Equations

Part variation

Part variation

Joint variation

Joint variation

Fitting data

Fitting data

Inverse variation

Inverse variation

Direct Variation

Direct Variation