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Mathematics curriculum:
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| This skill is difficult to master. OakEdu is focusing firstly and mainly on basic math: simple measurement, number concepts, sequencing, classifying, addition, subtraction, multiplication and division. Once mastered, it extends to concepts like negative numbers, decimals, fractions. Then it goes to square root, power of 2, and gradually more and more transformations are added and evolve into bigger problem solving, measuring, drawing graphs, connections, solving equations, reasoning, proving, algebra, geometry, representation, up to really abstract concepts like imaginary numbers, matrix, multi-dimensions, etc. OakEdu follows the Official Ontario curriculum extract, but usually 2 or 3 grades in advance: K-12: Arithmetic, Algebra, Geometry, Calculus, Prob/Stat, Discrete Math College: Geometry, Calculus, Prob/Stat, Discrete Math, Linear Algebra, Differential Equations, Modern Algebra, Analysis Advanced: Modern Algebra, Game Theory & Programming, Combinatorics, Order / lattices / ordered algebraic structures, General algebraic systems, Number theory, Field theory and polynomials, Algebraic geometry, Linear and multilinear algebra / matrix theory, Commutative / Associative / Nonassociative rings and algebras, Category theory / homological algebra, Group theory and generalizations, Real functions, Measure and integration, Functions of a complex variable, Potential theory, Several complex variables and analytic spaces, Special functions, Ordinary / Partial differential equations, Dynamical systems and ergodic theory, Difference and functional equations, Sequences / series / summability, Approximations and expansions, Fourier analysis, Abstract harmonic analysis, Integral transforms / operational calculus, Integral equations, Functional analysis, Operator theory, Calculus of variations and optimal control, Convex and discrete geometry, Differential geometry, General / Algebraic topology, Topological groups / Lie groups, Probability theory and stochastic processes, Statistics , Numerical analysis Numbers & Operations• Integers• Even and Odd Numbers • Rational and Irrational Numbers • Cardinal, Ordinal, and Nominal Numbers • Decimal Places • Rounding Numbers • More than a Million • Mean and Median • Prime Numbers • Numerical Prefixs: Billion, Trillion... • Roman numerals • Scientific Notation Tables & Formulas• Addition Table• Terms in Addition, Subtraction, Division, and Multiplication • Multiplication Table • Finding Area • Finding Volume • Finding Perimeter and Circumference • Triangles • Converting Fractions, Decimals, and Percents • Common Formulas • Conversion Factors • Table of Squares and Square Roots • Powers and Exponents • Factorials Measurement• Origins of Measurements• Weights and Measures • Metric and U.S. Equivalents • Tables of Metric Weights and Measures • Converting Units of Measurement • Measuring Motion • Measuring Power • Nautical Measurement • Other Units of Measures • Cooking Measurement Equivalents • Standard Measurements in Sports • Fahrenheit and Celsius • Conversion of Universal Time to Civil Time Money• encyclopaedia: Money• Coins • How Coins Are Made • A Brief History of Checking • Currency by Country • Budgets • The Public Debt Algebra1. 0 to 102. The Language of Algebra 3. Exponents and Radicals 4. Factoring Polynomials 5. Linear Equations 6. Complex Numbers 7. Quadratic Equations 8. Inequalities 9. Absolute Value 10. Linear Relations 11. Circle and Parabola 12. Ellipse and Hyperbola 13. Functions 14. Composition and Inverse Functions 15. Variation 16. Polynomial Functions 17. Rational Functions 18. Exponential Functions 19. Logarithmic Functions 20. Systems of Equations 21. Systems of Linear Inequalities 22. Arithmetic Sequences and Series 23. Geometric Sequences and Series 24. Mathematical Induction 25. Permutations and Combinations 26. Probability GeometryTriangles and Quadrilaterals Some of our booksTraité d'algèbre, arithmetic, Unsolved Mathematics (in French, dated 1939) |
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