Contents – Background | Vector Product Maths Tutorials | Integration Maths Tutorials | Ordinary Differential Equation Maths Tutorials | Power Series and Fourier Series Maths Tutorials
Maths Tutorials – Background
Feel free to use and distribute these tutorials, keeping each intact. They were developed as part of the FDTL4 PPLATO (Promoting Physics Learning And Teaching Opportunities) project, led by Dr Mike Tinker. Some of the tutorials are co-authored with Dr Silvia Dalla. Click on any of the tutorials below to launch it. They are hyper-linked pdf files that use AcroTeX (by D.P. Story).
Vector Product – Maths Tutorials
Scalar product of vectors
Maths tutorial – scalar product of vectors
Vector product of vectors
Maths tutorial – vector product of vectors
Integration – Maths Tutorials
Integration by substitution I
Integration by substitution – Tutorial 1
Integration by substitution II
Integration by substitution – Tutorial 2
Integration by substitution III
Integration by substitution – Tutorial 3
Integration of algebraic fractions
Maths tutorial – integration of algebraic fractions
Integration using trig identities
Maths tutorial – integration using trig identities
Integration by parts
Maths tutorial – integration by parts
Ordinary Differential Equation (ODE) – Maths Tutorials
ODE solution by direct integration
Maths tutorial – direct integration (ODE’s)
ODE solution by separation of variables
Maths tutorial – separation of variables (ODE’s)
Solution of ODE’s involving homogeneous functions
Maths tutorial – homogeneous functions (ODE’s)
ODE solution by integrating factor method
Maths tutorial – integrating factor method (ODE’s)
Bernoulli differential equations
Maths tutorial – Bernoulli differential equations
Exact differential equations
Maths tutorial – exact differential equations
Second order differential equations I
Maths tutorial – second order, RHS=0 (ODE’s)
Second order differential equations II
Maths tutorial – second order, RHS not 0 (ODE’s)
Power Series and Fourier Series – Maths Tutorials
Power series tutorial
Maths tutorial – using power series
