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Calculus - Coggle Diagram
Calculus
Integration
Anti Differentiation
Integration
Integration techniques
Integration of exponential functions
Integration of 1/x
Integration of trigonometric functions
Using chain rule in reverse for integrating products
Integrating quotients
Integration of rational functions
Integrating by substitution
Integrating products and quotients
Definite Integration and area
Definite integrals
Application of definite integrals
Properties of definite integrals
Area under a curve
Numerical integration
Approx. an area
Trapezium rule
Simpson's rule
Differential equations
Differential equations
Classifying solutions to differential equations
writing proportional equations - word questions (must include rate and proportional)
Solving first order differential equations (separating variables)
Newtons Law of cooling
Differentiation
Limits, continuity and differentiability
Limits
Techniques for evaluating limits
Limits as x --> infinity
Applications of limits
Continuity
Gradients of curves
Drawing derived funtions
Differentiability
Derivatives and Differentiation rules
Differentiation of Polynomials
Differentiation of composite functions
Chain Rule
The exponeital function, e^x
Differentiation of the logarithm function
The product rule
The quotient rule
Exponential differentation
Log differentation
Properties of curves
Turning points
Increasing, decreasing functions
Max and min points
Stationary points
Points of inflection
Second derivative test
Gradients at points on curves
Normals to curves
Rates of change and parametric functions
Kinematics
Parameters and differentation
Equations of tangents
Equations of tangents and normals to parametrically defined curves
Complex Numbers
De Moivre's theorem and Complex roots
Complex Roots in Polar form
Rectangular form
Multiplication and division of complex numbers in polar form
De Moivre's theorem
Polynomials
Polynomials
The remainder theorem
The factor theorem
Complex factors
Quadratics
Completing the square when there are complex roots
Conjugate-root theorem
Algebra
Surds
Complex Numbers