Anne

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BuiltWithNOF
Old M133 
Material

Mathematics & Statistic Tutor Perth - SPSS Help   

Tutorial  Topic One            Basic Number Rules (-3 - 7) and (-4) x (-5),    BIDMAS 23 +7/3 -(4 -2 - 8),
                                                    Fractions a/b + c/d adding and a/b / c/d dividing

Tutorial Topic Two               Solving and rearranging equations 4x +5 =20,  (s+1)/(s3-2) = (s+4)/(s4-12)
                                                
Multiplying Brackets out (4c2 ( (5c+7) (c+1) ) )         

Tutorial Topic Three           Solving Inequalities 3x +8 > 21 and  absolute values 3│4x + 7 │≥ 99

Tutorial  Topic Four             Finding the equation of Straight lines,using two points, and point/intercept
                                                 and gradient, perpendicular  m1 m2 = - 1 and  parallel lines m1 = m2
                                                
Linear Equations y = m x +c Simultaneous Equations 3y +4 =15 and 2y- x=5
                                                 solve for x  and y 

Tutorial Topic Five               Indices, powers (m2 n-2 /z n-4 m7 )4, solving square root problems ie Ö126,
                                                 rationalising ‘opposite sign one’

Tutorial Topic Five extra     Cancelling Indices in detail

Tutorial Topic Six                 Factorising quadratics, ax2 + bx + c, common factors for two or  four terms
                                                 3x3 +9x, and  40ab -2b + 20ac  - c
Tutorial Topic Seven            Cancelling (s+2)/(s2-6s -16) and solving (adding /subtracting) algebraic
                                                 fractions with  different factorising techniques
                                                 (s+1)/(s2-6s -16) + (s+4)/(s2-16) = 1/ s2 ,

                                                
Difference of two squares a2  – b2
                                                                        
Sum / difference of two cubed numbers  a3 
±   b3
Tutorial Topic Nine              Completing the square to find roots  (x 
± p )2 + q = 0,

                                                 Quadratic formula to find roots   
- b ±  Ö b2- 4 a c   = 0
                                                                                                                            2 a

                                                 Root form of quadratic   (s+1) (s - 6),  roots are s= -1 or s = 6
                                                
Turning point form of quadratic (x  - p )2 + q, turning point co-ords are (p,q),
                                                
Y intercept form of quadratic ax2 + bx + c,  crosses y axis at c

Tutorial Topic Ten                Solving logarithms, log8 64   and powers 3 x = 81   Log Rules

Tutorial Topic Ten Extra    Questions with growth/decay of form N(t) =N(0)e kt

Tutorial Topic Eleven           Solving equations with logarithms 2 log x  +4 log y into one log
                                                 and  powers  3x + 3x+1   = 81

Tutorial Topic Twelve          Basic Differentiation  3x ,  x-1/2   3Öx4  and finding the equation of a tangent                                                   line to a curve
Tutorial Topic Thirteen       Integration Basic  x (power+1) / (power +1)
                                                 and Substitution where u = then ∫ u’s du

Tutorial Topic  Fourteen      Area enclosed by curve and x-axis ,  Area between two curves

Tutorial Topic Fifteen          Trigonometric equations Sin x = 0.5,  2 Sin 3x = 1 and equations  e(2y-7) =7

 

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