Introduction

IB Math focuses on introducing important mathematical concepts through the development of mathematical techniques. The intention is to introduce students to these concepts in a comprehensible and coherent way, rather than insisting on mathematical rigour. Students should wherever possible apply the mathematical knowledge they have acquired to solve realistic problems set in an appropriate context. The majority of students will expect to need a sound mathematical background as they prepare for future studies in subjects such as Physics, Chemistry, Analytics, Economics and Business Administration,…

Objectives
Systematize the core knowledge of the subject
Become familiar with most IB exam formats
Reduce pressure and study time
Improve scores effectively
Enhance independant thinking
Create a solid foundation for higher education
Characteristics
Quality teachers with extensive knowledge about students psychology
Teaching programs are based on international standards
Exclusive materials that closely follow the IB formats
Personalized teaching method according to student progress
Commitment on IB pass grade
EE, IA, TOK completion support
Course content
Topic 1: From patterns to generalizations: sequences, series and proof
1.1 Sequences, series and sigma notation
1.2 Arithmetic and geometric sequences and series
1.3 Proof
1.4 Counting principles and the binomial theorem
Topic 2: Representing relationships: functions
2.1 Functional relationships
2.2 Special functions and their graphs
2.3 Classification of functions
2.4 Operations with functions
2.5 Function transformations
Topic 3: Expanding the number system: complex numbers
3.1 Quadratic equations and Inequalities
3.2 Complex numbers
3.3 Polynomial equations and Inequalities
3.4 The fundamental theorem of algebra
3.5 Solving equations and inequalities
3.6 Solving systems of linear equations
Topic 4: Measuring change: differentiation
4.1 Limits, continuity and convergence
4.2 The derivative of a function
4.3 Differentiation rules
4.4 Graphical interpretation of the derivatives
4.5 Applications of differential Calculus
4.6 Implicit differentiation and related rates
Topic 5: Analysing data and quantifying randomness: statistics and probability
5.1 Sampling
5.2 Descriptive statistics
5.3 The justification of statistical techniques
5.4 Correlation, causation and linear regression
Topic 6: Relationships in space: geometry and trigonometry.
6.1 The properties of three-dimensional space
6.2 Angles of measure
6.3 Ratios and identities
6.4 Trigonometric functions
6.5 Trigonometric equations
Topic 7: Generalizing relationships: exponents, logarithms and integration
7.1 Integration as antidifferentiation and definite integrals
7.2 Exponents and logarithms
7.3 Derivatives of exponential and logarithmic functions; tangents and normals
7.4 Integration techniques
Topic 8: Modelling change: more calculus
8.1 Areas and volumes
8.2 Kinematics
8.3 Ordinary differential equations (ODES)
8.4 Limits revisited
9 Modelling 3D space: Vectors
9.1 Geometrical representation of Vectors
9.2 Introduction to vector algebra
9.3 Scalar product and its properties
9.4 Vector equation of a line
9.5 Vector product and properties
9.6 Vector equation of a plane
9.7 Lines, planes and angles
9.8 Application of vectors
Topic 10: Equivalent systems of representation: more complex numbers
10.1 Forms of a complex number
10.2 Operations with complex numbers in polar form
10.3 Powers and roots of complex numbers in polar form
Topic 11: Valid comparisons and informed decisions: probability distributions
11.1 Axiomatic probability systems
11.2 Probability distributions
11.3 Continuous random variables
11.4 Binomial distribution
11.5 The normal distribution
Topic 12: Exploration
12.1 Practice exam paper 1
12.2 Practice exam paper 2
12.3 Practice exam paper 3

Student achievement

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