xvi Syllabus Guidance
Chapter Analytical Further Engineering
Methods Analytical Mathematics
for Methods for
Engineers Engineers- Scalar and vector products ×
- Methods of differentiation ×
- Some applications of differentiation ×
- Differentiation of parametric equations
- Differentiation of implicit functions ×
- Logarithmic differentiation ×
- Differentiation of hyperbolic functions ×
- Differentiation of inverse trigonometric and hyperbolic ×
functions - Partial differentiation ×
- Total differential, rates of change and small changes ×
- Maxima, minima and saddle points for functions of two ×
variables - Standard integration ×
- Some applications of integration ×
- Integration using algebraic substitutions ×
- Integration using trigonometric and hyperbolic ×
substitutions - Integration using partial fractions ×
- Thet=tanθ/2 substitution
- Integration by parts ×
- Reduction formulae ×
- Numerical integration ×
- Solution of first order differential equations by separation of ×
variables - Homogeneous first order differential equations
- Linear first order differential equations ×
- Numerical methods for first order differential equations × ×
- Second order differential equations of the form ×
a
d^2 y
dx^2
+bdy
dx
+cy= 0- Second order differential equations of the form ×
a
d^2 y
dx^2
+bdy
dx
+cy=f(x)- Power series methods of solving ordinary differential equations ×
- An introduction to partial differential equations ×
- Presentation of statistical data ×
(Continued)