# IB Mathematics SL Tuition Singapore

IB Diploma Maths SL Tuition in Marina Bay, Tampines Singapore. IB Math SL Syllabus for the IB Diploma is taught by our professional engineering-background full time tutor following the IB Math SL Mathematics text for International Baccalaureate Diploma Programme “Cambridge Mathematics Standard Level for the IB Diploma” ISBN 978-1-107-61306-5 by Cambridge University Press.

Tuition for

• UWCSEA,
• ACS(Independent),
• ACS(International),
• SJI(International),
• Global Indian International School GIIS,
• Hwa Chong(International).

Kindly contact Yuet Ling +65 8222 6327

Our Mathematics SL IB Diploma Textboook Herein lies the syllabus of Maths SL IB Diploma Singapore. The topics in Mathematics SL Mathematics IB Diploma books are:

# Main Topic: Algebra, Functions and Equations

• Complete the Square
• Factorised form
• Discriminant
• Intersection of graphs and simultaneous quadratic equations

#### Exponents and Logarithms

• Laws of exponents
• Exponential functions
• The number e
• Introduction to Logarithms
• Laws and Graphs of Logarithms
• Solving Exponential Equation

#### Algebraic Manipulations

• Solving Equations by Factorising
• Solving Equations by Substitution
• Features of Graphs
• Using graphical calculator (GDC) to solve equations
• Working with identities

#### The Theory of Functions

• Function Notation
• Domain and Range
• Composite functions
• Inverse functions
• Rational functions

#### Transformation of graphs

• Translations
• Stretches
• Reflections
• Consecutive Transformations

#### Sequence and series

• General sequences
• General series and sigma notation
• Arithmetics and Geometric Series
• Infinite Geometric Series
• Mixed Questions on sequences and series

#### Binomial Expansion

• Binomial Coefficients
• Applying the Binomial Theorem

# Main Topic: Geometry

#### Circular Measure and Trigonometry

• Measuring angles
• Definitions and graphs of sine and cosine functions
• Definition and graphs of the tangent functions
• Exact Values of trigonometric functions
• Transformations of Trigonometric Graphs
• Modelling using trigonometric functions

#### Trigonometric Equations and Identities

• Intro to trigonometric equations
• Harder Trigonometric Equations
• Trigonometric Identities
• Using Identities to solve equations
• Double Angle Identities

#### Geometry of triangles and circles

• Right-angled triangles
• The sine rule
• The cosine rule
•  Area of triangle
• Trigonometry in three dimensions
• Length of an arc
• Area of a sector
• Triangles and circles

#### Vectors

• Positions and displacements
• Vector algebra
• Distances
• Angles
• Properties of the scalar Product
• Vector equation of a line
• Solving Problems involving lines

# Main Topic: Calculus

#### Basic Differentiation and its applications

• Sketching derivatives
• Differentiation from first principles
• Rules of differentiation
• Interpreting derivatives and second derivatives
• Differentiating trigonometric, exponential and natural logarithm functions
• Tangents and Normals
• Stationary Points
• General Points of Inflexion
• Optimisation

#### Basic Integration and its Applications

• Integration (Indefinite)
• Constant of Integration
• Integrating inverse x, exponents, trigonometric functions
• Finding the equation of a curve
• Definite Integral
• Geometrical significance of definite integration
• Area between two curves

#### Further Differentiation

• Chain rule
• Product Rule
• Quotient Rule
• Optimisation with constraints

#### Further Integration

• Reversing standard derivatives
• Integration by substitution
• Kinematics
• Volumes of revolution

# Main Topic: Statistics and Probability

#### Summarising Data

• Measure of centre of data
• Frequency table and grouped data
• Cumulative frequency
• Histograms
• Constant changes to data
• Correlation

#### Probability

• Empirical Probability
• Theoretical Probability
• Combined events and Venn diagrams
• Tree diagrams and finding intersections
• Independent events
• Conditional probability
• Further Venn diagrams
• Selections with and without replacement

#### Probability Distributions

• Random variables
• Expectations of a discrete random variable
• The binomial distribution
• The normal distribution
• The inverse normal distribution