Engineering
Mathematics II
EG 1201 SH
Total:
4 hour /week
Year:
I Lecture:
3 hours/week
Semester:
II Tutorial:
1 hours/week
Practical: hours/week Lab: hours/week
Course Description:
This subject consists of five units related to vectors;
algebra; calculus; geometry; and statistics necessary to develop mathematical
background helpful for the understanding and practicing the related engineering
works.
Course Objectives:
After the completion of this course, students will be able
to:
1.
Explain the concepts of vectors in plain and
vectors in space and apply them in the field of the related engineering area
2.
Explain the concepts of the complex numbers,
linear inequalities and programming apply them in the field of the related
engineering area.
3.
Explain the concepts of determinants and
matrices and apply them in the field of the related engineering area
4.
Explain the concepts of determinants and
matrices and apply them in the field of the related engineering area
5.
Explain the concepts of applications of
derivatives and areas of curves and apply them in the field of the related
engineering:
6.
Explain the concepts of coordinates in space and
planes and apply them in the field of the related engineering area
7.
Explain the concepts of statistics and apply
them in the field of the related engineering area.
Course
Contents:
Unit 1. Vectors: [9]
1.1.
Vectors in plane, addition and subtraction.
1.2.
Composition and decomposition of vectors.
1.3.
Vectors in space.
1.4.
The unit vectors i, j, k
1.5.
Product of two vectors- dot product, cross
product, 1.6. Simple
applications.
|
Unit 2.
|
Algebra:
2.1. Complex number in the from A+
ib. Algebra
of complex numbers.
• Polar
representation of complex numbers.
2.2.
De Moivre’s theorem and its applications
2.3.
Linear inequalities and their graphs.
•
System of linear inequalities in two
variables,
•
System of linear inequalities in two
variables,
•
Linear programming: Problems involving two
variables under given linear constraints
2.4. Determinants and matrices, Algebra
of matrices,
•
Properties of determinants,
• Ad
joint and inverse of matrices.
•
Solution of linear equations using cramers’
rule
•
Row equivalent matrices
•
Idea of polynomial equations
|
[15]
|
|
Unit 3.
|
Calculus:
3.1. Applications
of derivatives-
•
Tangents and normal to a curve taking slope as
derivative
•
Maxima and minima of a function
•
Derivative as rate of change
3.2 Areas
under curves:
•
Use of definite integral as limit of a sum to
find areas under curves Areas
of closed curves and Areas
between curves.
3.3 Antiderivatives:
•
Curve tracing, maxima and minima
•
Rieman sums & integral
•
Application of fundamental theorem
|
[9]
|
|
Unit 4.
|
Geometry:
4.1. Coordinates
in space, 4.2. Coordinates in planes.
|
[6]
|
|
Unit 5.
|
Statistics:
5.1. Statistics:
•
Introduction to statistics
•
Measures of Central Tendency
•
Measures of Dispersion
•
Moments, Skew ness and Kurtosis
•
Correlation and Regression
|
[6]
|
5.2. Probability:
• Concept
of Probability
• Concept
of conditioned probability
• Concept
of independent and dependent events
• Concept
of mutually exclusive events
References:
1. A
Textbook on Engineering mathematics (for Diploma in Engineering) part II, Bhim
Prasad kafle, Makalu Publicartion House, Dillibazar, Kathmandu
2. A
Text book of Statistics – B.C. Bajracharya
3. Elementary
Statistics – H. C. Saxena
4. Statistical
Methods – Mrigendralal Singh
5. Engineering
Mathematics I, Hari Nandan Nath, Parishowar Acharya, Vudhyarthi Publisher and
distributors, Bhotahity, Kathmandu
6. References
to be selected by the related lecturer(s) from among the texts available in
the market that meet the content needs
of this subject.
7. The
related institute may develop its own textbook and approve from the related
authority so as to have a prescribed textbook of this subject
Book ko pdf file
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