Surface Area to Volume Ratio Materials constantly being exchanged across the plasma membrane The volume/mass of cytoplasm (as this is where the reactions take place)For cells to survive, metabolic ...
Functions of Life Unicellular (single-celled) and multicellular (many cells) organisms must carry out the following functions to stay alive: Metabolism - all the enzyme-catalysed reactions occurrin...
Cell Theory Until microscopes became powerful enough to view individual cells, no-one knew for certain what living organisms were made from A scientist called Robert Hooke came up with the term "ce...
Euler's Method: Second Order How do I apply Euler’s method to second order differential equations? A second order differential equation is a differential equation containing one or more second deri...
Solving Coupled Differential Equations How do I write a system of coupled differential equations in matrix form? How do I find the exact solution for a system of coupled differential equations? Wor...
Euler’s Method: First Order What is Euler’s method? Euler’s method is a numerical method for finding approximate solutions to differential equations It treats the derivatives in the equation as bei...
Slope Fields What are slope fields? Normally the tangent lines will be drawn for points that form a regularly-spaced grid of x and y values How can I use slope fields to study the solutions of a di...
Separation of Variables What is separation of variables? Separation of variables can be used to solve certain types of first order differential equations If the equation is in that form you can use...
Modelling with Differential Equations Why are differential equations used to model real-world situations? A differential equation is an equation that contains one or more derivatives Derivatives de...
