Laws of Indices What are the laws of indices? Laws of indices (or index laws) allow you to simplify and manipulate expressions involving exponents An exponent is a power that a number (called the b...
Standard form?(sometimes called?scientific notation?or?standard index form) gives us a way of writing very big and very small numbers using powers of 10. Standard Form Why use standard form? Some n...
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 ?(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...
Integrating Trig Functions How do I integrate sin and cos? Worked Example ? Integrating e^x & 1/x How do I integrate exponentials and logarithms? Exam Tip Make sure you have a copy of th...
