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BuiltWithNOF
Calculus and 
Linear algebra

Mathematics & Statistic Tutor Perth - SPSS Help   

Calculus and Linear Algebra Components
similar to any first year university course/final school year

Topic One

Revision of Power Rules,
Solving simple equations with terms such as  5 (2x+2)  + 5 (x)

Factorising, Common Factors, Quadratic Factors, Difference of Two Squares 
Completing the square
Absolute Values in equations or inequalities, Notes on the two Methods, Straight Lines, Finding equations y = m x + c, Parallel, Perpendicular or Neither Lines,
,
Quadratic Formula, Solving Quadratics Equations using Factorising, Quadratic Formula and Completing the Square
 

Topic Four

Functions
Domain 
Range
Transformations
Inverse Functions
Composite Functions

 

Topic Seven

Related rates, differentiating with respect to time
Area
Shadow Problem
Volume
 

               Test Videos
 
Q1   Limits
Q2   Continuity
Q3
   Exponential Part A
Q4  
Part B
Q5   Domain
Q6   Composite Function
Q7   Transformations

Topic Two

Introduction to Logarithms, 
Logarithms Rules,
Solving equations where the variable is in the power or inside the Logarithm,
Application of Logarithms
 (Exponential Growth and Decay)

 

Topic Five

Methods of Differentiation,
Simple
Chain
Logarithm
Exponential
Implicit
Trigonometric

Product Rule,
Quotient Rule
Finding a tangent line to a curve

 

Topic Eight

Differentials dy/dx = dy/d
Linear Approximations
f(x + dx ) = f ' (x) dx  + f(x)

 

     Topic Nine

Integration
Basic Integration
Integration with substitution
Integration with area
 

Currently being updated
 but click to revisit the old material  apologies for the bad format, missing links, and handwriting

Topic Three

Introduction to Limits
Continuity
 

Topic Six

Optimisation Word Problems,
Optimisation (Curve Sketching)
Minimum and Maximum,
Increasing Decreasing
Concavity Intervals

 

Test Videos

Q1     Limits
Q2    Solve for x in power changing to the            same base
Q2    Solving for x when inside  logarithm
Q2    Simplifying logarithms using rules
Q2b  Exponential Decay, Finding Decay                Constant, time when 60% is left
Q3    Domain square root, log and fraction  Q4    Composite Functions
Q5    Continuity Conditions
Q6    Transformations

 

               Test Videos
 
Q1    Maximum Word Problem
Q2    Absolute Max and Min in Interval
Q3
    Implicit Differentiation for equation
         of tangent line
Q4   
Related Rates
Q5
    Differentiation Chain Trig and Log
Q6
    Differentiation  function notation

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