### Introduction

#### johnbaratta

Bachelor of Engineering Currently studying Master of Engineering

Price : US \$25.00

Contact me if you need help with any level of maths, or physics, statics, dynamics, and thermodynamics.

Graphs and polynomials
The binomial theorem
Polynomials
Division of polynomials
Linear graphs
Cubic graphs
Quartic graphs
Functions and transformations
Transformations and the parabola
The cubic function in power form
The power function (the hyperbola)
The power function (the truncus)
The square root function in power form
The absolute value function
Transformations with matrices
Sum, difference and product functions
Composite functions and functional
equations
Modelling
Exponential and logarithmic
equations
The index laws
Logarithm laws
Exponential equations
Logarithmic equations using any base
Exponential equations (base e)
Equations with natural (base e)
logarithms
Inverses
Literal equations
Exponential and logarithmic modelling
Exponential and logarithmic graphs
Graphs of exponential functions
with any base
Logarithmic graphs to any base
Graphs of exponential functions
with base e
Logarithmic graphs to base e
Finding equations for graphs of exponential
and logarithmic functions
Exponential and logarithmic functions
with absolute values
Exponential and logarithmic modelling
using graphs
Inverse functions
Relations and their inverses
Functions and their inverses
Inverse functions
Restricting functions
Circular (trigonometric) functions
Revision of radians and the unit circle
Symmetry and exact values
Trigonometric equations
Trigonometric graphs
Graphs of the tangent function
Finding equations of trigonometric
graphs
Trigonometric modelling
Further graphs
Trigonometric functions with
an increasing trend
Differentiation
Review — gradient and rates of change
Limits and differentiation from
first principles
The derivative of xn
The chain rule
The derivative of ex
The derivative of loge (x)
The derivatives of sin (x), cos (x)
and tan (x)
The product rule
The quotient rule
Applications of differentiation
Equations of tangents and normals
Sketching curves
Maximum and minimum problems
when the function is known
Maximum and minimum problems
when the function is unknown
Rates of change
Related rates
Linear approximation
Integration
Antidifferentiation
Integration of e x, sin (x) and cos (x)
Integration by recognition
Approximating areas enclosed by
functions
The fundamental theorem of integral
calculus
Signed areas
Areas between two curves
Average value of a function
Discrete random variables
Probability revision
Discrete random variables
Measures of centre of discrete random
distributions
Measures of variability of discrete random
distributions
The binomial distribution
Problems involving the binomial distribution
for multiple probabilities
Markov chains and transition matrices
Expected value, variance and standard
deviation of the binomial distribution
Continuous distributions
Continuous random variables
Using a probability density function to
find probabilities of continuous random
variables
Measures of central tendency and
Coordinate geometry
Sketch graphs of y = ax m + bx−n + c
where m = 1 or 2 and n = 1 or 2
Reciprocal graphs
Graphs of circles and ellipses
Graphs of hyperbolas
Partial fractions
Sketch graphs using partial fractions
Circular functions
Reciprocal trigonometric functions
Graphs of reciprocal trigonometric
functions
Trigonometric identities
Compound- and double-angle formulas
Inverse circular functions and their
graphs
Complex numbers
Introduction to complex numbers
Basic operations using complex
numbers
Conjugates and division of complex
numbers
Complex numbers in polar form
Basic operations on complex numbers in
polar form
Factorisation of polynomials in C
Solving equations in C
Relations and regions of the
complex plane
Rays and lines
Circles and ellipses
Combination graphs and regions
Graphs of other simple curves
Differential calculus
The derivative of tan (kx)
Second derivatives
Analysing the behaviour of functions using
the second derivative
Derivatives of inverse circular
functions
Antidifferentiation involving inverse circular
functions
Implicit differentiation
Integral calculus
Integration techniques and applications
Technique 1: Substitution where the
derivative is present in the integrand
Technique 2: Linear substitution
Technique 3: Antiderivatives involving
trigonometric identities
Technique 4: Antidifferentiation using
partial fractions
Definite integrals
Applications of integration
Volumes of solids of revolution
Graphs of the antiderivatives of
functions
Differential equations
Related rates
Setting up and solving differential
equations
Numerical solutions of differential
equations
Direction field for a differential
equation
Kinematics
Differentiation and displacement, velocity
and acceleration
Using antidifferentiation
Motion under constant acceleration
Velocity–time graphs
Applying differential equations to
rectilinear motion
Vectors
Vectors and scalars
Position vectors in two and three
dimensions
Multiplying two vectors — the dot
product
Using vectors in geometry
Resolving vectors — scalar and vector
resolutes
Time-varying vectors
Vector calculus
Position, velocity and acceleration
Cartesian equations and antidifferentiation
of vectors
Applications of vector calculus
Projectile motion
Mechanics
Force diagrams and the triangle of
forces
Newton’s First Law of Motion
Newton’s Second Law of Motion
Applications of Newton’s First and Second
Laws of Motion
Applications of Newton’s First and Second
Laws to connected masses
Variable forces
Momentum and Newton’s Third Law of
Motion

Maths: secondary year 7 to year 10 Maths: VCE - General, Foundation, Methods, Specialist Thermodynamics Physics Statics Dynamics
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### Reviews

Student NameReview Date
2465 Administrator 13 Apr 2013 05:26:15
Johnbaratta from Australia provides professional one to one Mechanical Eng lessons via webcam. It is so easy to learn online from such great tutors.