Rationale:
Mathematics is used at various levels in the process of Printing,
which include, Copy-fitting methods, calculation of Paper &
Ink consumption, Mathematical formulae for pre-press activities,
costing & estimating and a lot more. All these processes require
precision functioning, which can be carried out if mathematical
calculations are known. This course also is a backbone of research
& development of Technology.
Lesson
No 1: Algebra.
Marks
Hours
1.1
Concept of Logarithm, common logarithm, rules of logarithm,
problems on logarithm.
6
6
1.2
Definition and solutions of quadratic equations, equations
reducible to the quadratic form, problem on quadratic
equations, relationship between the roots and coefficients,
nature of the roots, complex numbers.
The straight line, various equation forms of a straight
line, point of intersection of two lines, slope of a line
and angle between two lines.
6
5
Lesson
No3: Trigonometry.
Marks
Hours
3.1
Scope of trigonometry, angle and its measurement, trigonometric
functions (ratios) of acute angle, fundamental identities.
4
4
3.2
Angle of any magnitude and sign, trigonometric functions
of any angle and related angle formulae.
4
4
3.3
Compound angles formulae, multiple and sub-multiple angles,
sum and product formulae.
4
6
Lesson
No 4: Mensuration.
Marks
Hours
4.1
Calculation of surface area and volume of several regular
three dimensional objects such as right circular cylinder,
right circular cone, sphere, cube and other regular pyramids
and prisms.
6
6
Lesson
No 5: Differential Calculus.
Marks
Hours
5.1
Definition and introduction to basic terms used in calculus
like constant, variable, function, range and domain of
a function.
0
1
5.2
Definition of limit, properties of limits, problems on
limit of trigonometric and algebraic functions.
8
7
5.3
Concept of derivative, differentiation from
the first principle, basic rules of differentiation such
as product and quotient rule, differentiation of a function
of a function, exponential, implicit, inverse, trigonometric
and logarithmic functions.
8
6
5.4
Definition of integration as a reverse differentiation,
integration of simple rational functions, integration by
substitution, partial fraction and parts.
3
2
5.5
Introduction of definite integral, its limits
and evaluation.
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