About the Course
This course covers the subjects of Mathematics for Junior College Students enrolling in IBDP Curriculum. The lessons covers both SL (Standard Level) and HL (Higher Level) subjects. The subjects coverage includes, but not limited to :
IB Math (Analysis and Approaches) SL:
Algebra
Functions and equations
Quadratic functions and equations
Polynomial functions and equations
Exponential and logarithmic functions
Rational functions
Functions and Equations
Trigonometric functions and equations
Circular functions and trigonometric identities
Transformations of functions
Calculus
Differentiation
Integration
Applications of calculus
Vectors
Vector properties and operations
Scalar and vector products
Lines and planes in space
Statistics and Probability
Descriptive statistics
Probability distributions
Statistical applications
IB Math (Analysis and Approaches) HL:
Complex Numbers
Operations with complex numbers
Complex plane and polar form
De Moivre's theorem
Calculus (Advanced)
Techniques of integration
Differential equations
Further applications of calculus
Sequences and Series
Arithmetic and geometric sequences and series
Convergence and divergence
Proofs in Mathematics
Mathematical proofs and logic
Proof by contradiction, induction, and direct proof
Advanced Statistics
Bivariate data analysis
Probability distributions (binomial, normal, Poisson)
Hypothesis testing
Integration Techniques (HL Only)
Integration by parts, substitution, and partial fractions
Numerical integration methods
Further Complex Numbers (HL Only)
Further exploration of complex numbers and their properties
Complex roots of polynomials
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