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It is more beneficial to combine multiple related math appropriately. For example, Statistics and probability in higher math require Calculus in many areas.
It is more beneficial to combine multiple related math appropriately. For example, Statistics and probability in higher math require Calculus in many areas.
According to IB, students are encouraged to explore a little beyond the syllabus for inspiration. Hence, students are also recommended to look into the other SL course syllabus, as Applications and Analysis expand on different fields of math. For example, an HL Analysis student who wishes to explore Applied Linear Algebra, they are recommended to look into HL Applications textbook for more reference. An HL Applications student who wishes to explore more techniques in Calculus may look into HL Analysis textbook for more reference.
According to IB, students are encouraged to explore a little beyond the syllabus for inspiration. Hence, students are also recommended to look into the other SL course syllabus, as Applications and Analysis expand on different fields of math. For example, an HL Analysis student who wishes to explore Applied Linear Algebra, they are recommended to look into HL Applications textbook for more reference. An HL Applications student who wishes to explore more techniques in Calculus may look into HL Analysis textbook for more reference.
HL Applications
HL Applications
Calculus
Related rates
Solids of revolution
Differential equations
Coupled differential equations
Phase portraits
Slope fields
Projectile motion
Kinematics
Applied Linear Algebra
Inverse matrix (determinants)
Vectors and their applications
Eigenvalues and Eigenvectors
Diagonalization
Markov chains
Geometry
Affine transformations
Graph theory
Voronoi diagrams
Functions
Trigonometric functions
Modeling
Probability & Statistics
Central Limit Theorem
Confidence interval
Hypothesis testing
Complex Numbers
Complex plane
Modulus and arguments
Geometry in Complex Field
Polar form
Exponential form (Euler's form)
Recommended fields to explore further
Linear algebra
Algebraic geometry (Affine/Euclidean)
Graph theory
Calculus 2
HL Analysis
HL Analysis
Calculus
Limits
Related rates
Solids of revolution
Integration techniques (partial fractions, integration by parts, trigonometric substitutions, etc.)
Linear approximation
Differential equations
Homogeneous differential equations
Integrating factor
Logistic growth
Maclaurin series and convergence
Linear Algebra
RREF (Gaussian Row Reduction)
Vectors and their applications
Planes
Functions
Trigonometric functions and equations
Modeling with real polynomials
Inequalities
Remainder/Factor theorem
Probability & Statistics
Bayes' Theorem
Binomial theorem for rational exponents
Complex Numbers
Complex plane
Modulus and arguments
Geometry in Complex Plane
Polar form
Euler's form
De Moivre's theorem
Proof
Mathematical logic
Basic proof techniques (deduction, equivalence, definitions, exhaustion, contrapositive, contradiction)
Induction
Principle of Mathematical Induction
Recommended fields to explore further
Number theory
Probability theory
Calculus 2
Calculus 3
Complex numbers
Spherical geometry
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