1. United Kingdom:
- Secondary School: GCSE Mathematics, A-Level Mathematics, Further Mathematics A-Level
- University: Calculus, Linear Algebra, Probability and Statistics, Differential Equations, Abstract Algebra, Topology
2. United States:
- High School: Algebra I, Geometry, Algebra II, Trigonometry, Pre-Calculus, Calculus AB/BC
- College: Calculus I-III, Linear Algebra, Differential Equations, Probability and Statistics, Abstract Algebra
3. Canada:
- High School: Math 10, Math 20, Pre-Calculus, Calculus 12
- University: Calculus I-III, Linear Algebra, Differential Equations, Probability and Statistics, Abstract Algebra
4. Australia:
- Secondary School: General Mathematics, Mathematical Methods, Specialist Mathematics
- University: Calculus I-III, Linear Algebra, Differential Equations, Probability and Statistics, Abstract Algebra
5. France:
- Secondary School: Mathématiques (Mathematics), Mathématiques Approfondies (Advanced Mathematics), Mathématiques Complémentaires (Complementary Mathematics)
- University: Analyse (Calculus), Algèbre Linéaire (Linear Algebra), Analyse Complexe (Complex Analysis), Analyse Fonctionnelle (Functional Analysis)
6. Germany:
- Gymnasium (Secondary School): Grundkurs Mathematik (Basic Mathematics), Leistungskurs Mathematik (Advanced Mathematics)
- University: Analysis I-III (Calculus), Lineare Algebra (Linear Algebra), Analysis und Algebra I-II (Analysis and Algebra), Wahrscheinlichkeitstheorie (Probability Theory)
7. China:
- High School: Algebra, Geometry, Trigonometry, Calculus
- University: Calculus I-III, Linear Algebra, Differential Equations, Probability and Statistics, Abstract Algebra
8. India:
- High School: Algebra, Geometry, Trigonometry, Calculus
- University: Calculus I-III, Linear Algebra, Differential Equations, Probability and Statistics, Abstract Algebra
9. Japan:
- High School: Precalculus, Calculus
- University: Calculus I-III, Linear Algebra, Differential Equations, Probability and Statistics, Abstract Algebra
10. Singapore:
- Secondary School: Elementary Math, Additional Mathematics
- University: Calculus I-III, Linear Algebra, Differential Equations, Probability and Statistics, Abstract Algebra
11. South Korea:
- High School: Mathematics I, Mathematics II, Calculus
- University: Calculus I-III, Linear Algebra, Differential Equations, Probability and Statistics, Abstract Algebra
It's important to note that these are just a few examples, and the actual course offerings may vary within these countries and across different educational institutions.