IB MATH AI SL

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TOPIC 1
Approximation and Error
2 Topics
1.1.1 Approximation and error(1) Rounding and bound
1.1.2 Approximation and error(2) Absolute and percentage error
Loans and Annuities
1 Topic
1.2 Loans and annuities
Logarithms
1 Topic
1.3 Logarithms
Complex Number
4 Topics
1.5.1 Complex number(1) Cartesian form and algebra
1.5.2 Complex number(2) Complex plane
1.5.3 Complex number(3) Polar form
1.5.4 Complex number(4) Euler’s form
TOPIC 2
Function
2 Topics
2.1 Functions: domain and range
2.2 Graphs of functions
Modeling
6 Topics
2.3.1 Modeling(1) Linear modeling
2.3.2 Modeling(2) Quadratic modeling
2.3.3 Modeling(3) Cubic modeling
2.3.4 Modeling(4) Exponential modeling
2.3.5 Modeling(5) Periodic modeling
2.3.6 Modeling(6) Direct and inverse variation
Transformation of Graphs
1 Topic
2.4 Transformation of graphs
TOPIC 3
Voronoi Diagram
3 Topics
3.1.1 Voronoi diagram(1)
3.1.2 Voronoi diagram(2)
3.1.3 Voronoi diagram(3)
Affine Transformation
2 Topics
3.2.1 HL Affine transformation(1)
3.2.2 HL Affine transformation(2)
TOPIC 4
Bivariate Statistics
3 Topics
4.1.1 Bivariate statistics(1) Pearson’s correlation coefficient
4.1.2 Bivariate statistics(2) Linear regression
4.1.3 Bivariate statistics(3) Spearman’s rank correlation coefficient
Discrete Random Variables
3 Topics
4.2.1 Discrete random variables(1) Probability distribution
4.2.2 Discrete random variables(2) Expectation, variance and standard
4.2.3 Discrete random variables(3) Binomial distribution
Normal Distribution
3 Topics
4.3.1 Normal distribution(1)
4.3.2 Normal distribution(2) Inverse normal distribution
4.3.3 Normal distribution(3) The z-transformation
Hypothesis Testing
5 Topics
4.4.1 Hypothesis testing(1) Null and alternative hypothesis
4.4.2 Hypothesis testing(2) t-tests
4.4.3 Hypothesis testing(3) Two sample t-test
4.4.4 Hypothesis testing(4) Chi-squared goodness of fit test
4.4.5 Hypothesis testing(5) Chi-squared test for independence
TOPIC 5
Differentiation
2 Topics
5.1.1 Differentiation(1) Rates of change, limits
5.1.2 Differentiation(2) Derivative function
Properties of Curves
3 Topics
5.2.1 Properties of curves(1) Tangents and normals
5.2.2 Properties of curves(2) Increasing and decreasing intervals
5.2.3 Properties of curves(3) Stationary points
Differentiation Application
2 Topics
5.3.1 Differentiation application(1) Rates of change
5.3.2 Differentiation application(2) Optimization
Integration
3 Topics
5.4.1 Integration(1) Riemann integral and fundamental theorem of calculus
5.4.2 Integration(2) Anti differentiation and indefinite integral
5.4.3 Integration(3) Area under the curve
The Trapezoidal Rule
1 Topic
5.5 The trapezoidal rule
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1.1.1 Approximation and error(1) Rounding and bound

IB MATH AI SL Approximation and Error 1.1.1 Approximation and error(1) Rounding and bound
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