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学员须知:
受不同学?？奔溆跋欤嗫尉咛蹇奔淇赡芑嵊形⒌?，具体时间以班课学员为主
班课时间一经确认不再变更，开课后每课若有超半数学员按时出席，则当天正常上课，如有特殊情况请提前告知协调
课程大纲
| Essential?Topics | Extended?Details?(Divison?A?and?Beyond) | |
| Number?Theory | Prime?factorization | Number?of?factors |
| Sum/Product?of?factors | ||
| LCM?and?GCD | ||
| Euclidean?Algorithm?and?Bézout's?Theorem | ||
| Congruence?and?Modular?Algebra | Chinese?Remainder?Theorem(CRT) | |
| Euler’s?Theorem/Fermat's?Little?Theorem | ||
| Wilson's?Theorem | ||
| Diphantine?Equations | Estimation?and?Molular?Metthod | |
| Algebra | Resursive?Sequences | Characteristic?Equation?Method |
| Conjecture?and?Mathematical?Induction?Proof | ||
| Functions?and?Equations | Gaussian/Floor?function | |
| *Functional?Equations | ||
| Inequalities?and?Extreme?Value?Problems | Cauchy?inequality | |
| Jensen's?inequality | ||
| Weighted?AM-GM?Inequality | ||
| Rearrangement?Inequality?and?Chebyshev?Inequality | ||
| Polynomials | Fundamental?Theorem?of?Algebra?(Polynomial?Factorization) | |
| Generalized?Remainder's?Theorem | ||
| Rational?Root?Theorem | ||
| Vieta's?Theorem?and?Newton's?Sums | ||
| Complex?numbers | De?Moivre's?Theorem?and?Roots?of?unity | |
| Rotation,?Translation?and?Complex?Vector?Method | ||
| Geometry | Basic?Geometry?(Triangles?and?Polygons) | The?Law?of?Sines,?The?Law?of?Cosines |
| Area?Method?and?Heron's?formula | ||
| Centers?of?triangle | ||
| Menelaus's?theorem,?Ceva's?theorem,?Stewart?Theorem | ||
| Circles | Inscribed?and?circumscribed?polygon/Circle,?Cyclic?Quadrilateral | |
| Ptolemy's?theorem,?*Butterfly?Theorem | ||
| Basic?Analytic?Geometry | Ellipse,?*Parabola?and?Hyperbola | |
| Basic?Solid?Geometry | *Euler's?Polyhedron?Formula | |
| Combinatorics | Basic?Counting?Principle | Sum?Rules?and?Product?Rules |
| Permutations?and?Combinations | Advanced?problems?in?combinatorics | |
| Logic?reasoning | Pigeonhole?principle |
