xvi Syllabus Guidance
Chapter
Analytical
Further
Engineering
Methods
Analytical
Mathematics
for
Methods for
Engineers
Engineers
26.
Scalar and vector products
×
27.
Methods of differentiation
×
28.
Some applications of differentiation
×
29.
Differentiation of parametric equations
30.
Differentiation of implicit functions
×
31.
Logarithmic differentiation
×
32.
Differentiation of hyperbolic functions
×
33.
Differentiation of inverse trigonometric and hyperbolic
×
functions
34.
Partial differentiation
×
35.
Total differential, rates of change and small changes
×
36.
Maxima, minima and saddle points for functions of two
×
variables
37.
Standard integration
×
38.
Some applications of integration
×
39.
Integration using algebraic substitutions
×
40.
Integration using trigonometric and hyperbolic
×
substitutions
41.
Integration using partial fractions
×
42.
The t = tan θ/2 substitution
43.
Integration by parts
×
44.
Reduction formulae
×
45.
Numerical integration
×
46.
Solution of first order differential equations by separation of
×
variables
47.
Homogeneous first order differential equations
48.
Linear first order differential equations
×
49.
Numerical methods for first order differential equations
×
×
50.
Second order differential equations of the form
×
a
d 2 y
dx 2 + b
dy
dx
+ cy = 0
51.
Second order differential equations of the form
×
a
d 2 y
dx 2 + b
dy
dx
+ cy = f (x)
52.
Power series methods of solving ordinary differential equations
×
53.
An introduction to partial differential equations
×
54.
Presentation of statistical data
×
(Continued )