【作者简介】
作者吴斌是一位有8年IB数学教学经验的教师，同时也是IB的助理考官。
作者於嵩有7年的DP数学高级课程和标准课程的教学经验，同时也是IB高级课程试卷二和探索研究的助理考官，是上海世界外国语中学的DP数学部的主任。
【内容简介】
本书主要是为IB文凭项目数学高级课程和标准课程的学生编写的。IB I SEE的IB是国际文凭组织的缩写，I代表读者，SEE代表总结、例题和习题，这也是本书每个单元的主要模块。本书涵盖了高级课程的前六个主题以及标准课程的所有主题，是IB课本和教学大纲的补充，包含了IB考试中常出现的题型。本书可以帮助IB学生有效地准备IB学业考试。
【目录】
1 Function characters
Summary
Examples
A.Domain and range
B.Odd and even functions
C.Composite and inverse functions
Exercises
2 Function transformations
Summary
Examples
A.Dilation, reflection and translation
B.Graphs of1f(x),fx and|fx|
Exercises
3 Exponents and logarithms
Summary
Examples
A.Exponents and exponential equations
B.Logarithms and logarithmic equations
Exercises
4 Basic functions
Summary
Examples
A.Linear and quadratic functions
B.Polynomial and rational functions
C.Exponential and logarithmic functions
Exercises
5 Trigonometric identities
Summary
Examples
A.Definitions of trigonometric ratios
B.Pythagorean identities
C.Compound angle identities
D.Double and half angle formulas
Exercises
6 Trigonometric functions
Summary
Examples
A.Graph of trigonometric functions
B.Trigonometric equations
C.Inverse trigonometric functions
Exercises
7 Lengths and areas in circles and triangles
Summary
Examples
A.Lengths (arc length, radius and perimeter)
B.Areas (area of a sector, area of a triangle and area of a segment)
C.The sine rule and its ambiguous case
D.The cosine rule
Exercises
8 Vectors and their operations
Summary
Examples
A.Using vectors to find area of a triangle
B.Parallel and perpendicular vectors
Exercises
9 Complex numbers
Summary
Examples
A.Operations of complex numbers
B.Modulus and argument of a complex number
C.Cartesian form, Modulus-argument form and Euler’s form
D.Conjugate of a complex number
E.De Moivre’s theorem
F.th roots of a complex number
Exercises
10 Lines and planes
Summary
Examples
A.Lines
B.Planes
Exercises
11 Sequences and series
Summary
Examples
A.Arithmetic sequences and series
B.Geometric sequences and series
C.Compound interests and population
Exercises
12 Differentiation
Summary
Examples
A.Limit, convergence and continuity
B.First principles
C.Simple rules of differentiation
D.Chain rule, product rule and quotient rule
E.& Implicit differentiation
F.The equations of tangents and normals
G.The second and higher derivatives
Exercises
13 Integration
Summary
Examples
A.Simple rules of integration
B.Integral of
C.Integral of trigonometric functions
D.Integral by substitution
E.Integral by parts
Exercises
14 Applications of calculus
Summary
Examples
A.Rate of change and related rate of change
B.Graphical behaviors of a function
C.Optimisation
D.Areas and volumes
E.Kinematics
Exercises
15 Statistics
Summary
Examples
A.Measurement of the center and spread of a data set
B.Frequency distribution table
C.Histogram
D.Cumulative frequency table and graph
E.Boxplot
F.& The relationship between variance and mean
G.T Correlation and linear regression
Exercises
16 Counting principles
Summary
Examples
A.Sum and product principles
B.Permutation and combination
Exercises
17 Probability Calculation
Summary
Examples
A.Tree diagram and Venn diagram
B.2-dimensional table or 2-dimensional grids
C.Independent events and mutually exclusive events
D.Conditional probability
Exercises
18 Binomial expansion
Summary
Examples
A.Pascal triangle and binomial coefficients (binomial theorem)
B.Coefficients and terms in the binomial expansion
C.Coefficients and terms in the product of binomial expansions
Exercises
19 Probability distributions
Summary
Examples
A.Discrete distribution
B.Continuous distribution
C.Binomial distribution
D.Poisson distribution
E.Normal distribution
Exercises
20 Mathematical induction
Summary
Examples
A.Divisibility
B.Sequences and series
C.Differentiation
Exercises
Answers to Exercises
【编辑推荐】
本书主要是为IB文凭项目数学高级课程和标准课程的学生编写的。IB I SEE的IB是国际文凭组织的缩写，I代表读者，SEE代表总结、例题和习题，这也是本书每个单元的主要模块。本书涵盖了高级课程的前六个主题以及标准课程的所有主题，是IB课本和教学大纲的补充，包含了IB考试中*常出现的题型。本书可以帮助IB学生有效地准备IB学业考试。
