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· 제목 : Mathematics: Revision Guide for Pure Mathematics 3 (Paperback)
· 분류 : 외국도서 > 과학/수학/생태 > 수학 > 일반
· ISBN : 9789675492075
· 쪽수 : 328쪽
· 출판일 : 2020-01-30
· 분류 : 외국도서 > 과학/수학/생태 > 수학 > 일반
· ISBN : 9789675492075
· 쪽수 : 328쪽
· 출판일 : 2020-01-30
목차
- Cambridge International AS & A Level Mathematics 9709 Syllabus
- How to use this book
- 1 The Modulus Function
- Definition of modulus function
- Sketching graphs of modulus functions
- Solving equations involving modulus functions
- Solving inequalities involving modulus functions
- 2 Polynomials and Polynomial Equations
- Definition of polynomials
- Equality and operations
- Remainder theorem and factor theorem
- Factorisation of polynomialsPolynomial equations and inequalities
- 3 The Binomial Series
- Binomial theorem
- Expressing rational expressions in partial fractions
- Using partial fractions in binomial expansion
- 4 Exponential and Logarithmic Functions
- Exponential functions
- Logarithmic functions
- Graphs of exponential and logarithmic functions
- Solving exponential and logarithmic equations
- Transforming a non-linear relationship into linear form
- 5 Trigonometry
- Graphs of secant, cosecant and cotangent functions
- Fundamental identities
- Harmonic form
- Use of harmonic form
- 6 Differentiation
- Derivative of logarithmic function
- Derivative of exponential function
- Derivative of trigonometric function
- Techniques of differentiation
- Derivative of Implicit and parametric differentiations
- Applications of differentiation
- 7 Integration
- Standard formulae and rules
- Integrating rational functions
- Integrating exponential functions
- Integrating trigonometric functions
- Integration by parts
- Integration by substitution
- 8 Differential Equations
- General and particular solution
- Rate of change
- 9 Numerical Solutions of Equations
- The graphical method and change of signIterative method
- 10 Vectors
- Definition of vectors
- Vectors in two-dimensional space
- Vectors in three-dimensional space
- Scalar product of two vectors
- The vector equation of a straight line
- Parallel, intersecting or skew lines
- The perpendicular distance from a point to a line
- The angle between two lines
- 11 Complex Numbers
- Definition of complex numbers
- Fundamental processes
- The conjugate of complex numbers
- Argand diagram, modulus and argument
- Square roots of complex numbers
- Solving polynomial equations with complex roots
- Solving quadratic equations with non-real coefficients
- Geometrical effects
- Locus problems
- Inequalities of a complex number
- Answers
