Back to SubjectsCambridge O Level Additional Mathematics (4037) NotesCambridge O Level Additional Mathematics (4037) NotesStudying mode:NotesFlashcardsDefinitions0/67Studying mode:NotesFlashcardsDefinitions0/67
1Functions0/81.1 Function Definitions & Terminology1.2 Domain and Range1.3 Function Notation1.4 Modulus Function Graphs1.5 Inverse Function Existence1.6 Finding Inverse Functions1.7 Composite Functions1.8 Graphs of Inverse Functions
2Quadratic functions0/52.1 MaximumMinimum of Quadratics2.2 Sketching Quadratic Graphs2.3 Discriminant and Roots2.4 Solving Quadratic Equations2.5 Solving Quadratic Inequalities
3Factors of polynomials0/33.1 Remainder and Factor Theorems3.2 Factoring Polynomials3.3 Solving Cubic Equations
4Equations, inequalities and graphs0/54.1 Solving Modulus Equations4.2 Solving Modulus Inequalities4.3 Solving via Substitution4.4 Sketching Cubic Graphs4.5 Solving Cubic Inequalities
6Logarithmic and exponential functions0/36.1 Log and Exponential GraphsProperties6.2 Laws of Logarithms6.3 Solving Exponential Equations
7Straight-line graphs0/47.1 Straight Line Equations7.2 Parallel and Perpendicular Lines7.3 Line Geometry Problems7.4 Linear Law Transformations
8Coordinate geometry of the circle0/48.1 Circle Equations8.2 Line and Circle Intersection8.3 Circle Tangents8.4 Solve problems involving the intersection of two circles.
10Trigonometry0/610.1 Trigonometric Function Definitions10.2 Trigonometric Graph Properties10.3 Sketching Trigonometric Graphs10.4 Trigonometric Identities10.5 Solving Trigonometric Equations10.6 Proving Trigonometric Identities
11Permutations and combinations0/311.1 Permutations vs Combinations11.2 PermutationCombination Formulas11.3 Arrangement and Selection Problems
12Series0/512.1 Binomial Theorem Expansion12.2 Binomial General Term12.3 AP and GP Definitions12.4 AP and GP Formulas12.5 Sum to Infinity GP
13Vectors in two dimensions0/413.1 Vector Notation13.2 Position and Unit Vectors13.3 Vector Operations and Magnitude13.4 Velocity Vectors
14Calculus0/1514.1 Derivative Concept14.2 Derivative Notation14.3 Standard Derivatives and Chain Rule14.4 Product and Quotient Rules14.5 Gradients Tangents Normals14.6 Stationary Points14.7 Rates of Change and Approximations14.8 Optimization Problems14.9 Derivative Tests for Extrema14.10 Integration Concept14.11 Integrating Powers of x14.12 Integrating Standard Functions14.13 Definite Integrals and Areas14.14 Calculus in Kinematics14.15 Kinematics Graphs