MAA
Mathematics: analysis and approaches
exercise
- Numbering of the documents is in accordance with my lecture notes
- [MAA ... ] = Questions together with extra space for answers
- [Q] = Questions only, with no extra space for answers [eco-friendly]
- [S] = Solutions
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SL
HL
Topic 1. Number and algebra
- [MAA HL 1.1-1.2 Numbers-Methods of proof] [Q] [S]
- [MAA HL 1.3-1.6 Sequences] Updated 31/10/20 [Q] [S]
- [MAA HL 1.7 Binomial theorem] [Q] [S]
- [MAA HL 1.8 Mathematical induction] [Q] [S]
- [MAA HL 1.9 Systems of linear equations] [Q] [S]
- [MAA HL 1.10-1.11 Complex numbers (Cartesian)] [Q] [S]
- [MAA HL 1.12-1.14 Complex numbers (polar)] [Q] [S]
Topic 2. Functions
Topic 3. Geometry and trigonometry
Topic 4. Statistics and probability
- [MAA SL 4.1-4.3 Statistics - Basic Concepts] [Q] [S]
- [MAA SL 4.4 Linear regression] [Q] [S]
- [MAA SL 4.5-4.8 Probability] [Q] [S]
- [MAA SL 4.9-4.11 Distributions-Binomial-Normal] [Q] [S]
The last document is under construction.
CLICK HERE for an older version
Topic 5. Calculus
- [MAA SL 5.1-5.4 Derivatives] [Q] [S]
- [MAA SL 5.5-5.5 Monotony-Concavity-Optimtn] [Q] [S]
- [MAA SL 5.8-5.9 Indefinite integrals-Substitution] [Q] [S]
- [MAA SL 5.10 Definite integrals-Areas] [Q] [S]
- [MAA SL 5.11 Kinematics] [Q] [S]
The documents in black are under construction.
CLICK HERE for older versions
- [MAA HL 5.1-5.4 Derivatives] [Q] [S]
- [MAA HL 5.5-5.7 Monotony-Concavity-Optimtn] [Q] [S]
- [MAA HL 5.8-5.9 & 5.16 Ind integrals-Substitution] [Q] [S]
- [MAA HL 5.10 & 5.18 Def integrals-Areas-Volumes] [Q] [S]
- [MAA HL 5.11 Kinematics] [Q] [S]
- [MAA HL 5.12-5.13 Continuity and diff/ty-l'Hopital] [Q] [S]
- [MAA HL 5.14-5.15 Implicit diff-Rate of change] [Q] [S]
- [MAA HL 5.17 Integration by parts] [Q] [S]
- [MAA HL 5.19 Differential equations] [Q] [S]
- [MAA HL 5.20 Maclaurin series] [Q] [S]
The last two documents are under construction.
Care has been taken for the questions to be in order of difficulty. For each topic there are 3 types of exercises
- A. Practice Questions: My questions on basic understanding of theory
- B. Past Paper Questions (SHORT): SECTION A questions (IBO)
- C. Past Paper Questions (LONG}: SECTION B questions (IBO)
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