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New Syllabus Additional Mathematics Textbook (9th Edition)

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New Syllabus Additional Mathematics (NSAM) is a textbook specially designed to provide valuable learning experiences to engage the hearts and minds of students sitting for the GCE O-level examination in Additional Mathematics. Included in the textbooks are Investigation, Class Discussion, Thinking Time, and Alternative Assessments such as Journal Writing to support the teaching and learning of Mathematics.

Every chapter begins with a chapter opener that motivates students in learning the topic.  Interesting stories about Mathematicians, real-life examples and applications are used to arouse students’ interest and curiosity so that they can appreciate the beauty of Mathematics in their surroundings and in the sciences.

The use of ICT helps students visualize and manipulate mathematical objects more easily, thus making the learning of mathematics more interactive.

Find out more about this series and view the samples.

Product Details:

ISBN-13 : 9789812374998
Pages : 544 pages
Consultant  : Dr Yeap Ban Har
Authors

: Dr Joseph Yeo, Teh Keng Seng, Loh Cheng Yee, Ivy Chow

 

Dimensions : 8.75 in x 10.75 in x 1 in
Weight : 2.95 lbs

 

 Table of Contents

Chapter 1- Simultaneous Equations, Polynomials and Partial Fractions
  • Linear and Non-Linear Simultaneous Equations
  • Polynomials
  • Remainder Theorem
  • Factor Theorem
  • Cubic Expressions and Equations
  • Partial Fractions
Chapter 2 - Quadratic Equations and Modulus(Absolute Value) Function
  • Sum and Product of Roots
  • Nature of Roots of a Quadratic Equation
  • Maximum and Minimum Values of General Quadratic Functions
  • Quadratic Inequalities
  • Intersection of a Line and a Curve
  • Modulus (Absolute Value) Function
  • Graphs of Modulus (Absolute Value) Functions
Chapter 3 - Binomial Theorem
  • Binomial Expansion of (1 + b)^n
  • Binomial Coefficients
  • Binomial Theorem
  • Applications of Binomial Theorem
Chapter 4 - Indices (Exponents), Surds(Radicals) and Logarithms
  • Indicies (Exponents)
  • Surds (Radicals)
  • Introduction to Logarithms
  • Laws of Logarithms and Change of Base Formula
  • Logarithmic and Exponential Equations
  • Graphs of Exponential and Logarithmic Functions
  • Applications of Logarithms and Exponents
Chapter 5 - Coordinate Geometry
  • Midpoint of a Line Segment
  • Parallel and Perpendicular Lines
  • More Problems on Equations of Stright Lines
  • Area of Rectilinear Figures
Chapter 6 - Further Coordinate Geometry
  • Equation of a Circle
  • Graphs of y^2 = kx
  • Graphs of Power Functions
Chapter 7- Linear Law
  • Why study Linear Law?
  • Converting from Non-Linear Equation to a Linear Form
  • Converting from a Linear Form to a Non-linear Equation
  • Applications of Linear Law
Chapter 8 - Trigonometric Functions and Equations
  • Trigonometric Ratios and Special Angles
  • General Angles
  • Trigonometric Ratios and General Angles
  • Graphs of Trigonometric Functions
  • Further Trigonometric Graphs
  • Graphs of y|f(x)|, where f(x) is trigonometric
  • Cosecant, Secant and Cotangent Ratios
  • Trigonometric Equations
Chapter 9 - Trigonometric Identities and Formulas
  • Trigonometric Identities
  • Proving Identities
  • Addition Formulas
  • Double Angle Formulas
  • Further Proving of Identities
  • R-Formula
Chapter 10 - Proofs in Plane Geometry
  • Basic Proofs in Plane Geometry
  • Proofs using Congruence and Similarity Tests
  • Midpoint Theorem
  • Tangent-Chord Theorem (Alternate Segment Theorem)
Chapter 11 - Differentiation and its Application
  • Gradient Functions
  • Five Rules of Differentiation
  • Equations of Tangent and Normal to a Curve
  • Rates of Change
Chapter 12 - Further Applications of Differentiation
  • Higher Derivatives
  • Increasing and Decreasing Functions
  • Stationary Points
  • Problems on Maximum and Minimum Values
Chapter 13 - Differentiation of Trigonometric, Logarithmic & Exponential Functions and their Application
  • Derivatives of Trigonometric Functions
  • Derivatives of Logarithmic Functions
  • Derivatives of Exponential Functions
  • Further Application of Differentiation
Chapter 14 - Integration
  • Integrations as a Reverse of Differentiation
  • Two Rules of Integration
  • Integration of a Function involving a Linear Factor
  • Integration of Trigonometric Functions
  • Integration of Functions of the Forms 1/x and 1/(ax + b)
  • Integration of Exponential Functions
  • Further Examples of Integration
Chapter 15 - Application of Integration
  • Definite Integrals
  • Further Examples of Definite Integrals
  • Area under a Curve
Chapter 16 - Kinematics
  • Applications of Differentiation in Kinematics
  • Applications of Integration in Kinematics

New Syllabus Additional Mathematics (NSAM) is a textbook specially designed to provide valuable learning experiences to engage the hearts and minds of students sitting for the GCE O-level examination in Additional Mathematics. Included in the textbooks are Investigation, Class Discussion, Thinking Time, and Alternative Assessments such as Journal Writing to support the teaching and learning of Mathematics.

Every chapter begins with a chapter opener that motivates students in learning the topic.  Interesting stories about Mathematicians, real-life examples and applications are used to arouse students’ interest and curiosity so that they can appreciate the beauty of Mathematics in their surroundings and in the sciences.

The use of ICT helps students visualize and manipulate mathematical objects more easily, thus making the learning of mathematics more interactive.

Find out more about this series and view the samples.

Product Details:

ISBN-13 : 9789812374998
Pages : 544 pages
Consultant  : Dr Yeap Ban Har
Authors

: Dr Joseph Yeo, Teh Keng Seng, Loh Cheng Yee, Ivy Chow

 

Dimensions : 8.75 in x 10.75 in x 1 in
Weight : 2.95 lbs

 

 Table of Contents

Chapter 1- Simultaneous Equations, Polynomials and Partial Fractions
  • Linear and Non-Linear Simultaneous Equations
  • Polynomials
  • Remainder Theorem
  • Factor Theorem
  • Cubic Expressions and Equations
  • Partial Fractions
Chapter 2 - Quadratic Equations and Modulus(Absolute Value) Function
  • Sum and Product of Roots
  • Nature of Roots of a Quadratic Equation
  • Maximum and Minimum Values of General Quadratic Functions
  • Quadratic Inequalities
  • Intersection of a Line and a Curve
  • Modulus (Absolute Value) Function
  • Graphs of Modulus (Absolute Value) Functions
Chapter 3 - Binomial Theorem
  • Binomial Expansion of (1 + b)^n
  • Binomial Coefficients
  • Binomial Theorem
  • Applications of Binomial Theorem
Chapter 4 - Indices (Exponents), Surds(Radicals) and Logarithms
  • Indicies (Exponents)
  • Surds (Radicals)
  • Introduction to Logarithms
  • Laws of Logarithms and Change of Base Formula
  • Logarithmic and Exponential Equations
  • Graphs of Exponential and Logarithmic Functions
  • Applications of Logarithms and Exponents
Chapter 5 - Coordinate Geometry
  • Midpoint of a Line Segment
  • Parallel and Perpendicular Lines
  • More Problems on Equations of Stright Lines
  • Area of Rectilinear Figures
Chapter 6 - Further Coordinate Geometry
  • Equation of a Circle
  • Graphs of y^2 = kx
  • Graphs of Power Functions
Chapter 7- Linear Law
  • Why study Linear Law?
  • Converting from Non-Linear Equation to a Linear Form
  • Converting from a Linear Form to a Non-linear Equation
  • Applications of Linear Law
Chapter 8 - Trigonometric Functions and Equations
  • Trigonometric Ratios and Special Angles
  • General Angles
  • Trigonometric Ratios and General Angles
  • Graphs of Trigonometric Functions
  • Further Trigonometric Graphs
  • Graphs of y|f(x)|, where f(x) is trigonometric
  • Cosecant, Secant and Cotangent Ratios
  • Trigonometric Equations
Chapter 9 - Trigonometric Identities and Formulas
  • Trigonometric Identities
  • Proving Identities
  • Addition Formulas
  • Double Angle Formulas
  • Further Proving of Identities
  • R-Formula
Chapter 10 - Proofs in Plane Geometry
  • Basic Proofs in Plane Geometry
  • Proofs using Congruence and Similarity Tests
  • Midpoint Theorem
  • Tangent-Chord Theorem (Alternate Segment Theorem)
Chapter 11 - Differentiation and its Application
  • Gradient Functions
  • Five Rules of Differentiation
  • Equations of Tangent and Normal to a Curve
  • Rates of Change
Chapter 12 - Further Applications of Differentiation
  • Higher Derivatives
  • Increasing and Decreasing Functions
  • Stationary Points
  • Problems on Maximum and Minimum Values
Chapter 13 - Differentiation of Trigonometric, Logarithmic & Exponential Functions and their Application
  • Derivatives of Trigonometric Functions
  • Derivatives of Logarithmic Functions
  • Derivatives of Exponential Functions
  • Further Application of Differentiation
Chapter 14 - Integration
  • Integrations as a Reverse of Differentiation
  • Two Rules of Integration
  • Integration of a Function involving a Linear Factor
  • Integration of Trigonometric Functions
  • Integration of Functions of the Forms 1/x and 1/(ax + b)
  • Integration of Exponential Functions
  • Further Examples of Integration
Chapter 15 - Application of Integration
  • Definite Integrals
  • Further Examples of Definite Integrals
  • Area under a Curve
Chapter 16 - Kinematics
  • Applications of Differentiation in Kinematics
  • Applications of Integration in Kinematics