Revised Syllabus of IB Diploma Math Analysis and Applications Standard level & High Level (AA HL & SL).

New Revised Syllabus of AA SL & SL of IB diploma Program is as follows

Chapter 1: Number & Algebra

SL

  • AP GP, nth term & sum of n terms.
  • Sigma notation
  • convergent & divergent Geometric Sequence.
  • Financial applications of GP- compound interest & annual depreciation
  • Logs & Exponents
  • Simple deductive proofs
  • Binomial Theorem
  • Permutation & combination

HL

  • Binomial Theorem of fractional and negative Index
  • Partial Fractions
  • Complex Numbers
  • Proofs by Method of induction.
  • System of Linear Equations

Chapter 2: Functions

SL

  • Co-ordinate Geometry
  • Concept of Functions
  • Features of Functions
  • Quadratics
  • Rational functions
  • Transformations of Graphs

HL

  • Polynomial Functions
  • Rational Functions
  • Even & Odd functions.
  • Advanced Special Functions

Chapter 3: Geometry & Trignometry

SL

  • distance formula, Mid point formula.
  • Surface area & volume of 3D shapes
  • Trigonometry basics.
  • Radian Measure
  • Sine & Cosine rule
  • Unit Circle
  • Trigonometric Identities.
  • Graphs of trig functions.
  • Solving trig equations graphically & analytically.

HL

  • Sec, Cosec, Cot
  • compound angle double angle trig identities
  • Inverse trig functions
  • Trig Identities
  • Vectors

Chapter 4: Statistics & Probability

SL

  • CRV & DRV
  • PDF
  • Median, Quartile, IQR, Box & Whisker Plot
  • Correlation & Regression
  • Probability

HL

  • Probability

Chapter 5: Calculus

SL

  • Intro to limits
  • Increasing & Decreasing functions
  • Diff using standard formulae
  • Tangent & normal of function at a point.
  • Integration Intro as Anti-derivative.
  • product rule, Quotient rule, Chain rule.
  • Max, Min, point of inflection.
  • Kinetics problems.
  • Integrals (indefinite & definite)
  • Area enclosed between curves.

HL

  • First Principle of differentiation.
  • Higher derivatives.
  • L’hospital Rule.
  • Implicit Differentiation
  • Diff of tan x, sec x etc.
  • Advanced types of Integral problems.
  • by parts, u substitution etc.
  • Volume of revolution.
  • Differential equations.
  • Maclaurin series.
  • screenshots

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