IB数学期末复习知识点盘点及备考建议~IB数学寒假班招生中

IB数学AA HL复习重点

Algebra(运算):De Moivre's theorem, proofs by induction/contradiction/counterexample, analytical solutions of system of 3 equations

Functions(函数):factor/remainder theorems, sum and product of roots of polynomials

Geometry/Trig(几何):compound angle identities, symmetries in trig functions, vectors

Probability/Stats(统计):Bayes' theorem, continuous random variables, linear transformations of a random variable

Calculus(微积分):higher derivatives, l'Hopital rule, Maclaurin series, implicit differentiation, partial fractions integration, repeated use of integration by parts, first order ODE, Euler's method for a single ODE, separation of variables, homogeneous ODE, integrating factor, calculus of series

IB数学AA SL复习重点

Algebra(运算):binomial theorem/Pascal's triangle

Functions(函数):rational functions, graphs of exponential/logarithmic functions, transformations

Geometry/Trig(几何):Pythagorean identity, graphs of trig functions, quadratic trig equations

Probability/Stats(统计):equation of the regression line of x on y (x given y), standardized normal distribution

Calculus(微积分):chain/product/quotient rules, rates of change, kinematics

IB数学AI HL复习重点

Algebra(运算):arguments, matrices, eigenvalues/eigenvectors

Functions(函数):scaling with log notations, log-log and semi-log plots

Geometry/Trig(几何):matrix transformations, determinants, graph theory/trees, MST, Kruskal's and Prim's algorithms, Chinese postman problem algorithm, TSA

Probability/Stats(统计):non-linear regression, sum of square residuals, coefficient of determination, unbiased estimates of mean and standard deviation, central limit theorem, confidence intervals of the mean, Poisson distribution, Binomial distribution，bivariate normal distribution, Types I and II errors, Markhov chains

Calculus(微积分):ODEs, slope fields, a second-order ODE, phase portrait

IB数学AI SL复习重点

Algebra(运算):amortization and annuities

Functions(函数):modelling

Geometry/Trig(几何):equations of perpendicular bisectors, Voronoi diagrams

Probability/Stats(统计):Spearman's rank, null and alternate hypotheses, significant levels, p-values, chi-squared test for independence, for goodness of fit, one-tailed/two-tailed t tests

Calculus:Approximations with trapezoidal rule。