A course on mathematical methods and techniques employed in the solution of problems in Physics and Electronics. The course deals with the purpose, methods and applications of differentiation, integration, matrix algebra and differential equations.
Differentiate single variable functions requiring a combination of rules.
Determine the partial derivatives of functions of two variables.
Apply differentiation to solve rates of change, optimisation and motion problems arising in engineering and physics.
Select and apply appropriate techniques of integration to evaluate integrals.
Formulate and evaluate integrals to determine areas, mean and RMS values.
Appreciate the requirement for numerical methods in integration and implement Simpson's Rule to evaluate a definite integral.
Perform matrix operations, evaluate determinants and employ matrix methods to solve linear systems of equations in two and three variables.
Solve first order differential equations by direct integration and separation of variables.
Solve first order differential equations arising from physical systems and electrical circuits.