Maths Quest 11 Mathematical Methods CAS Index

7/28/2019 Maths Quest 11 Mathematical Methods CAS Index

1/738 Index

Index

Addition Law o Probabilities 496502

addition o matrices 32635

Associative Law 328Commutative Law 328

addition principle 5404antidierentiation 4326

applications 46773

CAS calculator

equations and unctions 16

indicial equations 237modelling using 149

simultaneous equations 21

change, rates osee rates o change

circles 20812arrangements in 55961

complementary unctions 285

exact values 272general equation o 209quadrants 2712

radians 2769

symmetry 2805

tangent 285unit circle 2716

circular unctions 267

column matrix 331

combinations using nCr 5615

completing the square

actorising by 536

solving quadratic equations 614conditional probability 50813

constant rates 3638

continuous unctions, limits o 412

cosine and sine graphs 28997cubes

dierence o two cubes 1246

sum o two cubes 1246

cubic unctions 109domain 1438

graphs in power unction orm 13943

maximums 1438

minimums 1438range 1438

cubic graphs

intercepts method 12936

delta 70

diagonal matrix 331

diagrams

lattice 4916tree 4916

dierence

nite dierences 1528

two cubes, o 1246two squares, o (DOTS) 50

dierentiation 410

applications o 449

rst principles, using 4203

rules, nding derivatives by 42332

discontinuous unctions, limits o 415

discriminant 705

distancetwo points, between 2932, 36

division in index orm 227

domain 17783unction, o 1438

equal matrices 331

equationsCAS calculator 16

indicial 2358

linear see linear equations

matrix equations, solving 33945quadratic see quadratic equations

rearrangement 611, 36simultaneous see simultaneous equations

straight line, o 258, 36substitution 611, 36

trigonometric, solving 3019

event space 486

reduced 508expanding linear actors 10911

experimental probability see probabilities

experiments

random outcome 483exponential unctions 226

applications 2538

graphs o 23844

horizontal translations 239refections 239

vertical translations 239

x-axis, dilation rom 240y-axis, dilation rom 240

actor theorem 11821

actorials 54850

actorisingcompleting the square, by 536

denition 49

inspection, by 50

methods 50

polynomials 1214nite dierences 1528

xed point iteration 59

unctions 184CAS calculator 16

evaluating 195

exponential 226

ully dening 196unction notation 195200

gradient see gradient unction

inverse 2068

linear see linear unctionsmodelling and 21215


2/7639Index

original see original unction

rate o change 44955restriction o 201

types 2006

gradientdenition 11, 420

perpendicular lines 26, 36

rate o change o unction 44955

straight line, o 1115, 36gradient unction

denition 420

deriving original unction rom 43741

original unction, relating to 3879graphs 1737

exponential unctions, o 23844

linear, sketching 16

logarithmic 2513motion 37987

sine and cosine 28997

stationary points, containing 45562

tangent 297301velocitytime and positiontime, relating 38994

graphs o cubic unctionspower unction orm 13943

graphs o quadratic unctionsintercepts method 8091

power unctions (turning point orm) 759

highest common actor (HCF) 50hybrid unctions 2026, 3967

limits o 415, 41720

hyperbola 1879

identities 285

independent events 5206

index laws 22732indicial equations 2358inequations, linear see linear equations

instantaneous rates 3759

intercepts 140

intercepts methodcubic graphs 12936

graphs o quadratic unctions 8091

quartic graphs 1369

interval notation 178inverse matrix 339

inverse relations and unctions 2068

Karnaugh maps 5027

kinematics 37987

lattice diagrams 4916

limit(s)concept o 41012

continuous unctions, o 412

discontinuous unctions, o 415

hybrid unctions, o 415, 41720rational unctions, o 415

theorems on 41213

line

perpendicular 26straight see straight line

linear equationsdenition 1

general orm 16

simultaneous quadratic equations and 95101

solving 18, 36linear actors

expanding 10911

linear unctionssketching 1621, 36

linear inequationssolving 18, 36

linear modelling 325, 36local maximum turning point 456

local minimum turning point 4556

logarithmic equations, solving 24851

logarithmic unctions, applications 2538logarithmic graphs 2513

logarithms 2448

base 10, to 248

common 248laws 245

long division

actorising polynomials 1215

polynomials, o 11115

many-to-many relations 183

many-to-one relations 183

Markov chains 51320matrices 326

addition 32635

Associative Law or addition 328

Commutative Law or addition 328elements 327

inverse 339

multiplication 3359

multiplication by a scalar 332

multiplicative identity matrix 339subtraction 32635

transormations and 34550

transition matrices 51320types 3302

matrix equations, solving 33945

maximum problems, solving 4627

midpoint o a segment 2932, 36minimum problems, solving 4627

modelling

CAS calculator, using 149

unctions and 21215technology, using 14852

motion graphs 37987

multiplicationindex orm, in 227matrices 3359

matrix, o, by a scalar 332

multiplication principle 5404

negative powers 2325

normals 427

Null Factor Law 5661

one-to-many relations 183

one-to-one unctions 2001

one-to-one relations 183


3/7Index40

original unction

gradient unction, deriving rom 43741relating to gradient unction 3879

perect squares 50

permutations 5448grouped objects 556

identical objects 555nPr, using 5504

restrictions, involving 5558perpendicular lines 26, 36

polynomials 436

cubic 109actorising 1214

long division 11115

polynomial values 11517

quartics 109rates o change 394401

solving polynomial equations 1269

value o 44

positiontime graphsvelocitytime graphs, relating to 38994

power unctions 18795

powersnegative 2325rational 2335

probabilities

addition law o 496502

applications 56671calculating 48691

conditional probability 50813

denition 566

event space 486experimental 4826

introduction 4826

probability tables 5027

range o 488subjective 482

products 227

Pythagoras theorem 29

Pythagorean identity 285

quadrants 2712

quadratic equations

completing the square 614denition 46

discriminant 705

examples 46

expanding 469actorising 4953

xed point iteration 59graphs osee graphs o quadratic unctions

Null Factor Law 5661power unctions, as 758

simultaneous linear equations and 95101

solving 5664

technology, using 915quadratic ormula 6570

quadratic trinomials 50

quartic unctions 109

quartic graphsintercepts method 1369

quotients 227

radians 2769

raising to a power 227

raising to the power o zero 227

random outcome experiments 483range 17783

unction, o 1438

rates

constant 3638identiying 3603

instantaneous 3759variable 36870

rates o changeaverage 3705

unction, o 44955

polynomials, o 394401

rational unctions, limits o 415rational powers 2335

rearrangement o equations 611, 36

relations 1737

inverse 2068types 1837

remainder theorem 11821

row matrix 331

segment, midpoint o 2932, 36

set notation 1703

sets o numbers 171

short divisionactorising polynomials 121

simulation 52630

simultaneous equations

algebraic solution 22CAS calculator 21

denition 21

graphical solution 21

solving 212, 36

use o matrices to solve 340using, to nd a polynomial model 1557

sine and cosine graphs 28997

square matrix 331square root unction 1925

stationary points

graphs containing 45562

infection, o 456straight line

equation, nding 258, 36

gradient 1115, 36

substitution o equations 611, 36subtraction o matrices 32635

sum o two cubes 1246

symmetry in unit circles 2805

tangent graphs 297301

tangents 427

technology

modelling using 14852quadratic equations, solving 915

transormations and matrices 34550

transition matrices 51320

tree diagrams 4916trigonometric equations, solving 3019

trigonometric unctions, applications 30913

trigonometric ratio revision 26770


4/7641Index

truncus 18992

turning point (TP)local maximum 456

local minimum 4556

quadratic unctions 759

turning point coordinates 80two points

distance between 2932, 36

unit circle 2716unit matrix 331

variable rates 36870

velocitytime graphspositiontime graphs, relating to 38994

Venn diagrams 502

vertical line test 184

x-intercepts 80

y-intercept 80

zero matrix 331


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Maths Quest 11 Mathematical Methods CAS Index