Additional Mathematics (4037)
Prepare for Cambridge O Level Additional Mathematics (4037) with its topic map and connected study tools in NeuraGeek.
Every topic, in syllabus order
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Topic 01
Functions
- 01Function Definitions & Terminology
- 02Domain and Range
- 03Function Notation
- 04Modulus Function Graphs
- 05Finding Inverse Functions
- 06Composite Functions
- 07Graphs of Inverse Functions
Topic 02
Quadratic functions
- 01Maximum/Minimum of Quadratics
- 02Sketching Quadratic Graphs
- 03Discriminant and Roots
- 04Solving Quadratic Equations
- 05Solving Quadratic Inequalities
Topic 03
Factors of polynomials
- 01Remainder and Factor Theorems
- 02Factoring Polynomials
- 03Solving Cubic Equations
Topic 04
Equations, inequalities and graphs
- 01Solving Modulus Equations
- 02Solving Modulus Inequalities
- 03Solving via Substitution
- 04Sketching Cubic Graphs
- 05Solving Cubic Inequalities
Topic 05
Simultaneous equations
- 01Solving Simultaneous Equations
Topic 06
Logarithmic and exponential functions
- 01Log and Exponential Graphs/Properties
- 02Laws of Logarithms
- 03Solving Exponential Equations
Topic 07
Straight-line graphs
- 01Straight Line Equations
- 02Parallel and Perpendicular Lines
- 03Line Geometry Problems
- 04Linear Law Transformations
Topic 08
Coordinate geometry of circles
- 01Circle Equations
- 02Line and Circle Intersection
- 03Circle Tangents
- 04Intersection of Two Circles
Topic 09
Circular measure
- 01Arc Length and Sector Area
Topic 10
Trigonometry
- 01Trigonometric Function Definitions
- 02Trigonometric Graph Properties
- 03Sketching Trigonometric Graphs
- 04Trigonometric Identities
- 05Solving Trigonometric Equations
- 06Proving Trigonometric Identities
Topic 11
Permutations and combinations
- 01Permutation/Combination Formulas
- 02Arrangement and Selection Problems
Topic 12
Series and the binomial theorem
- 01Binomial Theorem Expansion
- 02Binomial General Term
- 03AP and GP Formulas
- 04Sum to Infinity (GP)
Topic 13
Vectors
- 01Vector Notation
- 02Position and Unit Vectors
- 03Vector Operations and Magnitude
- 04Velocity Vectors
Topic 14
Differentiation and integration
- 01Derivative Notation
- 02Standard Derivatives and Chain Rule
- 03Product and Quotient Rules
- 04Gradients, Tangents, Normals
- 05Stationary Points
- 06Rates of Change and Approximations
- 07Optimization Problems
- 08Derivative Tests for Extrema
- 09Integration Concept
- 10Integrating Powers of x
- 11Integrating Standard Functions
- 12Definite Integrals and Areas
- 13Calculus in Kinematics
- 14Kinematics Graphs
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