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Welcome to Government Institute of Printing Technology
Welcome to Government Institute of Printing Technology
 
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Welcome to Government Institute of Printing Technology

 
Applied MathematicsCode: 107
Teaching Scheme
hrs/week
Examination Scheme
Theory
Practical
Theory
Marks
Duration
UT Marks
Pr. Marks
TW Marks
4
--
80
3 hrs.
20
--
--

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.

8
6
1.3
Series, arithmetic progression, geometric progression, arithmetic mean, geometric mean, problems on progressions.
6
6
1.4

Concept and of nCr, Binomial theorem for positive integral index, problems on Binomial theorem.

5
3
1.5

Definition of determinants, second and third order determinants, properties of determinants, solving linear simultaneous equations.

8
6
Lesson No2: Analytical Geometry.
Marks
Hours
2.1

Rectangular coordinate system, distance formula, section formula, centroid formula.

4
3
2.2

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.
0
1

Reference Book

No.
Title of Book
Author

Publisher's Name

1
A new approach to mathematics & statistics
Chitale, Joshi
--
2
Applied mathematics
--
TTTI, Chandigarh
3
Mathematics for technicians
--
TTTI, Chandigarh
4
Mathematics for polytechnic students
S.V.Deshpande
--
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