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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/dx 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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