nature and scope of a problem, and can inform solutions. As they model with difference and differential equations students learn to abstract and apply techniques in a wide range of application areas. Students learn about Students should be able to Recurrence relations compute the and higher differences of a given sequence of Real world phenomena involving incremental numbers change such as identify real-world situations which can Malthusian growth, Restricted growth be suitably modelled by difference Interest/loan payment equations Supply and demand derive difference equations for real world phenomena involving incremental change analyse, interpret and solve difference equations in context Solving homogeneous and inhomogeneous difference equations numerically, graphically Solve and with the aid of digital technology linear first order difference equations first-order non-linear difference equations Analysing real word phenomena involving continuous change identify situations which can Predictive nature of differential equations be suitably modelled by differential equations derive and interpret in context differential equations for real world phenomena involving continuous change Techniques for solving differential equations separation of variables solve differential equations reduction of order order separable numerical solutions for digital second order which can be implementation reduced to first order graphical methods that provide interpret the solution of differential qualitative information equations in context
nature and scope of a problem, and can inform solutions. As they model with difference and differential equations students learn to abstract and apply techniques in a wide range of application areas. Students learn about Students should be able to Recurrence relations Real world phenomena involving incremental change such as Malthusian growth, Restricted growth Interest/loan payment Supply and demand Solving homogeneous and inhomogeneous difference equations numerically, graphically and with the aid of digital technology Analysing real word phenomena involving continuous change Predictive nature of differential equations Techniques for solving differential equations separation of variables reduction of order numerical solutions for digital implementation graphical methods that provide qualitative information compute the and higher differences of a given sequence of numbers identify real-world situations which can be suitably modelled by difference equations derive difference equations for real world phenomena involving incremental change analyse, interpret and solve difference equations in context Solve linear first order difference equations first-order non-linear difference equations identify situations which can be suitably modelled by differential equations derive and interpret in context differential equations for real world phenomena involving continuous change solve differential equations order separable second order which can be reduced to first order interpret the solution of differential equations in context
Applied_Mathematics_draft_syllabus.docx