Differentiation for Kinematics How is differentiation used in kinematics? Displacement, velocity and acceleration are related by calculus In terms of differentiation and derivatives Worked Example ...
Displacement, Velocity & Acceleration What is kinematics? Kinematics is the branch of mathematics that models and analyses the motion of objects Common words such as distance, speed and acceler...
Modelling with Differentiation What can be modelled with differentiation? Recall that differentiation is about the rate of change of a function and provides a way of finding minimum and maximum val...
Negative Integrals How do I find the area under a curve when the curve is fully under the x-axis? STEP 1 Write the expression for the definite integral to find the area as usual This may involve ...
Definite Integrals What is a definite integral? The constant of integration (“+c”) is not needed in definite integration “+c” would appear alongside both F(a) and F(b) subtracting means the “+c”’s ...
Linear Simultaneous Equations - Elimination What are simultaneous linear equations? When you have more than one equation in more than one unknown, then you are dealing with simultaneous equa...
Further Solving Quadratic Equations (Hidden Quadratics) What are hidden quadratic equations? Hidden quadratic equations are quadratics written in terms of a function ƒ(χ) A normal quadratic ...
Integrating Composite Functions (ax+b) What is a composite function? A composite function involves one function being applied after another A composite function may be described as a “function of a...
Solving Quadratic Equations Solving quadratic equations We can solve quadratic equations when they are written in the form If given an unusual looking equation, try to rearrange it into this...
