IB Mathematics HL Analysis & Approaches
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Chapter 1 - From Patterns to Generalizations
Sequences Series & Induction Sequences and Series(extra questions pdf) Geometric Series on Excel Summation Notation with Rules(pdf) Sigma Notation pdf Plotting a Series on the TI-84 Video on types of proof Mathematical Induction Example Probability and Combinatorics Good Counting Principles Website Binomial Theorem Binomial Expansion Paper Questions Chapter 2 - Introducing Functions
p73 Graphing Radical Functions p73 Graphing Parabolas p74 Points of Intersection p75 Function of relation? p 82 Three forms of quadratics p86 Graphing Rational Functions w/Transformations p86 Graphing Rational Functions(w/slant asymptotes) p86 Domain and Range (Rat F - 44:05)\ Chapter 3 - Complex Numbers 3.2 Complex numbers ................................... 161 Complex Numbers Basics Systems of Equations Completing the square 3.3 Polynomial equations and Inequalities .............................................. 175 Polynomial Inequalities 3.4 The fundamental theorem of algebra ....184 Quadratic Formula Quadratic Formula 2 Discriminant Discriminant IB Problem 3.5 Solving equations and inequalities .........195 3.6 Solving systems of linear equations .... 200 Chapter 4 - Differentiation Piecewise on TI-84 4.1 Limits, continuity and convergence .... 220 4.2 The derivative of a function ....................236 4.3 Differentiation rules ................................249 4.4 Graphical interpretation of the derivatives ...............................................262 4.5 Applications of differential Calculus ......278 4.6 Implicit differentiation and related rates ..........................................................288 Chapter 5 - Analysing data and quantifying randomness: statistics and probability 5.1 Sampling .. 308 5.2 Descriptive statistics .. 317 5.3 The justification of statistical techniques .335 5.4 Correlation, causation and linear regression .347 Chapter 6 - Relationships in space 6.1 The properties of three-dimensional space ........................................................369 6.2 Angles of measure ...................................378 6.3 Ratios and identities ...............................384 v 6.4 Trigonometric functions ..........................410 6.5 Trigonometric equations ........................ 420 Chapter review ..................................................437 Modelling and investigation activity.............. 440 |
Extra Problems for Revision
IB Math Videos(worked Problems) OSC Free Revision Videos 2003 Problems in all Areas (pdf - older) Review Videos (worked questions) Andrew Chambers Channel Induction Calculus & Induction Excel Applications Future Value (spreadsheet) Future Value (vid) Chapter 7 Generalizing relationships: exponents,
logarithms and integration 442 7.1 Integration as antidifferentiation and definite integrals .................................... 444 7.2 Exponents and logarithms .................... 460 7.3 Derivatives of exponential and logarithmic functions; tangents and normals ..........483 7.4 Integration techniques .......................... 488 Chapter review .................................................. 514 Modelling and investigation activity ..............516 Chapter 8 Modelling change: more calculus 518 8.1 Areas and volumes ..................................520 8.2 Kinematics ...............................................528 8.3 Ordinary differential equations 8.4 Limits revisited ........................................550 Chapter review ..................................................565 Modelling and investigation activity.............. 568 Chapter 9 Modelling 3D space: Vectors 570 9.1 Geometrical representation of Vectors ......................................................573 9.2 Introduction to vector algebra .............. 586 9.3 Scalar product and its properties ..........597 9.4 Vector equation of a line ........................ 605 9.5 Vector product and properties ............... 614 9.6 Vector equation of a plane ...................... 621 9.7 Lines, planes and angles .......................628 9.8 Application of vectors ..............................633 Chapter review ..................................................643 Modelling and investigation activity ............. 646 Chapter 10 Equivalent systems of representation: more complex numbers 648 10.1 Forms of a complex number ...................650 10.2 Operations with complex numbers in polar form .................................................656 10.3 Powers and roots of complex numbers in polar form .................................................664 Chapter review ..................................................676 Modelling and investigation activity ..............678 Chapter 11 Valid comparisons and informed decisions: probability distributions 680 11.1 Axiomatic probability systems ...............683 11.2 Probability distributions......................... 696 11.3 Continuous random variables ............... 706 11.4 Binomial distribution ............................... 712 11.5 The normal distribution........................... 718 |