# 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
• Rational functions
• Transformations of Graphs

#### HL

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

### Chapter 3: Geometry & Trignometry

#### SL

• distance formula, Mid point formula.
• Surface area & volume of 3D shapes
• Trigonometry basics.
• 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

• 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