Math AA
analysis and approaches
exercise
new !
Find my new document with everything you need to know about GDC for Math AA
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New updated documents (launched in October 2024) are
titled with white headings and labeled [Math-AA], in contrast to the old ones labeled [MAA]
Topic 1. Number and algebra
algebra
- [MAA 1.1] Numbers - Rounding [eco] [solutions]
- new: [Math-AA 1.1] Numbers - Rounding [eco] [solutions]
- [MAA 1.2-1.3] Arithmetic sequences [eco] [solutions]
- new: [Math-1.2-1.3] Arithmetic sequences [eco] [solutions]
- [MAA 1.4] Geometric sequences [eco] [solutions]
- new: [Math-AA 1.4] Geometric sequences [eco] [solutions]
- [MAA 1.5] Percentage change - Financial applications [eco] [solutions]
- new: [Math-AA 1.5] Percentage change - Financial . [eco] [solutions]
- [MAA 1.6] Binomial theorem [eco] [solutions]
- new: [Math-AA 1.6] Binomial theorem [eco] [solutions]
- [MAA 1.7] Deductive proof [eco] [solutions]
- new: [Math-AA 1.7] Deductive proof [eco] [solutions]
- [MAA 1.8] Methods of proof [eco] [solutions]
- new: [Math-AA 1.8] Methods of proof [eco] [solutions]
- [MAA 1.9] Mathematical induction [eco] [solutions]
- new: [Math-AA 1.9] Mathematical Induction [eco] [solutions]
- [MAA 1.10] Systems of linear equations [eco] [solutions]
- new: [Math-AA 1.10] Systems of linear equations [eco] [solutions]
complex numbers
- [MAA 1.11-1.12] Complex numbers (Cartesian form) [eco] [solutions]
- new: [Math-AA 1.11-12] Complex numbers (Cartesian form) [eco] [solutions]
- [MAA 1.13-1.15] Complex numbers (Polar form} [eco] [solutions]
- new: [Math-AA 1.13-15] Complex numbers (Polar form) [eco] [solutions] under construction
Topic 2. Functions
lines and quadratics
- [MAA 2.1] Lines [eco] [solutions]
- new: [Math-AA 2.1] Lines [eco] [solutions]
- [MAA 2.2] Quadratics [eco] [solutions]
- new: [Math-AA 2.2] Quadratics [eco] [solutions]
functions
- [MAA 2.3] Functions - Domain - Range - Graph [eco] [solutions]
- new: [Math-AA 2.3] Functions - Domain - Range - Graph [eco] [solutions]
- [MAA 2.4-2.5] Composition - Inverse function [eco] [solutions]
- new: [Math-AA 2.4-2.5] Composition - Inverse function [eco] [solutions]
- [MAA 2.6] Transformations [eco] [solutions]
- new: [Math-AA 2.6] Transformations [eco] [solutions]
- [MAA 2.7] Asymptotes [eco] [solutions]
- new: [Math-AA 2.7] Asymptotes [eco] [solutions]
exponents and logarithms
- [MAA 2.8] Exponents [eco] [solutions]
- new: [Math-AA 2.8] Exponents [eco] [solutions]
- [MAA 2.9] Logarithms [eco] [solutions]
- new: [Math-AA 2.9] Logarithms [eco] [solutions]
- [MAA 2.10] Exponential Equations [eco] [solutions]
- new: [Math-AA 2.10] Exponential Equations [eco] [solutions]
Polynomials - Rational functions - inequalities
Topic 3. Geometry and trigonometry
trigonometry
- [MAA 3.1-3.3] 3D Geometry - Triangles [eco] [solutions]
- [MAA 3.4] Arcs and Sectors [eco] [solutions]
- [MAA 3.5] sin, cos, tan on the unit circle - Identities [eco] [solutions]
- [MAA 3.6] Trigonometric equations [eco] [solutions]
- [MAA 3.7] Trigonometric functions [eco] [solutions]
- [MAA 3.8] More trigonometric identities - equations [eco] [solutions]
- [MAA 3.9] More trigonometric functions [eco] [solutions]
Topic 4. Statistics and probability
statistics
- [MAA 4.1-4.3] Statistics - Basic Concepts [eco] [solutions]
- + only for HL: [MAA(HL) 4.1-4.3] Statistics - Basic Concepts [eco] [solutions]
- [MAA 4.4] Linear regression [eco] [solutions]
probability
- [MAA 4.5-4.7] Probability I (Venn diagrams - tables) [eco] [solutions]
- [MAA 4.8] Probability II (Tree diagrams) [eco] [solutions]
- [MAA 4.9] Discrete distributions in general [eco] [solutions]
distributions
- [MAA 4.10] Binomial distribution [eco] [solutions]
- [MAA 4.11] Normal distribution [eco] [solutions]
- [MAA 4.12] Continuous distributions in general [eco] [solutions]
counting
Topic 5. Calculus
differentiation
- [MAA 5.1] The concept of the limit [optional] [eco] [solutions]
- [MAA 5.2] Derivatives - Basic rules [eco] [solutions]
- [MAA 5.3] Chain rule [eco] [solutions]
- [MAA 5.4] Tangent and Normal lines [eco] [solutions]
- [MAA 5.5-5.6] Monotony and Concavity [eco] [solutions]
- [MAA 5.7] The graph of f ΄ [eco] [solutions]
- [MAA 5.8] Optimisation [eco] [solutions]
integration
- [MAA 5.9-5.10] Indefinite integrals [eco] [solutions]
- [MAA 5.11] Definite integrals - Areas [eco] [solutions]
- [MAA 5.12] Kinematics [eco] [solutions]
- [MAA 5.13] More derivatives [eco] [solutions]
- [MAA 5.14] Implicit differentiation - More kinematics [eco] [solutions]
- [MAA 5.15] Related rates [eco] [solutions]
- [MAA 5.16-5.17] Continuity - Differentiability - L Hopital [eco] [solutions]
further integration
- [MAA 5.18-5.19] More integrals - Further substitution [eco] [solutions]
- [MAA 5.20] Integration by parts [eco] [solutions]
- [MAA 5.21] Further Areas and Volumes [eco] [solutions]
- [MAA 5.22] Differential equations [eco] [solutions]
Maclaurin
Instructions
The document numbering follows my lecture notes
GREEN titles (HL/SL)
RED titles (only HL)
- no asterisk normal for SL - easy for HL
- (*) hard for SL - normal for HL
- (**) optional for SL - mainly for HL
- no asterisk normal for HL
- (*) hard for HL
[eco] documents contain questions only (no extra space for working out)
each document contains 3 sections
- O. Practice questions: basic understanding of theory
- A. Exam style questions (SHORT): for the SECTION A of the exam
- B. Exam style questions (LONG}: for the SECTION B of the exam