syllabus for studentship - The Institute of Motor Industry

THE INSTITUTE OF MOTOR INDUSTRY (I)


SYLLABUS FOR STUDENTSHIP


Note: Any single textbook is not available for the subject of the
syllabus. A very wide range of books are published on all aspects of the
various subjects of the syllabus and there are too many to list. No one
text/book cover an entire syllabus. Therefore, in order to provide an
adequate coverage for each syllabus, it will be necessary to refer several
textbooks. Anyway we have recommended some references which covers maximum
contents prescribed in the syllabus.


AMD00 S01 - ENGLISH


MAJOR DIVISIONS:

UNIT I - Vocabulary
UNIT II - Grammar
UNIT III - Compound Nouns
UNIT IV - Prepositions
UNIT V - Subject and Verb Conditional Structure
UNIT VI - Listening Comprehension
UNIT VII - Reading Comprehension and Report Writing
UNIT VIII - Letter Writing
UNIT IX - Essay Writing
UNIT X - Rhetorical Functions


UNIT I: Vocabulary





Vocabulary - using words in context - use of suffixes to form nouns from
verbs and adjectives - adjectives, adverbs - matching words with meanings -
Active and passive voices - tenses - simple present, present continuous -
comparative adjectives - adverbial forms - Reading text: skimming for
general information - specific details - note making.


UNIT II: Grammar

Noun - Adjective - Transformation of degree of comparison when two things
are compared - verbs - Modals - Main verbs - Simple Present - Present
Continuous and Past Continuous - Past Continuous Tense - Present Perfect
Tense - Simple Past Tense - Present Continuous Tense - Past Perfect
Continuous Tense - Simple future Tense - Future Continuous Tense.

UNIT III: Compound Nouns


Compound nouns - negative prefixes - antonyms - Use of modal verbs - making
sentences using phrases - tenses - simple past and present perfect -
Reading and guessing meanings in context - Listening and note taking -
Channel conversion from text to chart - Writing comparisons - making
recommendations - coherence using discourse markers - Discussion - role-
play.

UNIT IV: Prepositions



Expanding nominal compounds - words with multiple meanings - Error
correction - prepositions - use of the prefix "trans-" - compound
adjectives - modal verbs to express probability - simple past and present
prefect.

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UNIT V: Subject and Verb Conditional Structures

Purpose - Preposition - Preposition + relative structure - Adverb - Gerund
- Connective - Active voice and Passive voice - Abbreviation - General
Abbreviations used in dictionaries - Abbreviation used in project work and
Research papers - Definitions - Punctuation - Units - synonyms and Antonyms
- Error Detection/Correction.

UNIT VI: Listening Comprehension

Accuracy in listening - listening to discussion on specific issues - Group
discussion - Role playing (stating, discussing problems and proposing
solutions).

UNIT VII: Reading Comprehension and Report Writing

Language - Learning Objectives - Cleaning up Mercury - Soft Started Motors
- Journey through a Virus - Radioactive Waste Piles on - Rapid Heating
furnaces Save Energy - Instruction - Impersonal Passive - Laboratory Report
Writing

UNIT VIII: Letter Writing

Kinds of Letters - Official and Business Letters - Official Letters -
Letter of application for job - Letter of Complaint - Letter inviting
dignitaries to attend a function letter to industries requesting permission
to undergo practical training - Letter to the Editor - Business Letters -
Quotation.

UNIT IX: Essay Writing

Paragraph writing - Features - Preparation of outline - Model essays and
exercises.

UNIT X: Rhetorical Functions

Description of machines and functions of parts and the use of signs and
symbols - Classification - Expressing causality - Use of tools and units of
measurement - Starting problems and suggesting solutions - Making
recommendations - Narrating events and stories - Writing check lists and
giving instructions.

Reference books:

English for Engineering Students - M. Balasubramanian
& G. Anbalagan
& Wren & Martin
Learning to Communicate - A Resource Book - Dr. V. Chellammal,
Anna University,
for Engineers and Technologists
Kamakhya Publications, 2001 Intermediate Grammar for
Asian - Raymond Murphy, 2000
Students







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AMD00 S02 - GENERAL MATHEMATICS - I

MAJOR DIVISIONS:

UNIT I - Applications of Matrices and Determinants
UNIT II - Counting Algebra
UNIT III - Binomial Theorem
UNIT IV - Vector Algebra
UNIT V - Complex Numbers
UNIT VI - Analytical Geometry
UNIT VII - Applications of Differentiation
UNIT VIII - Applications of Integration
UNIT IX - Differential Equations
UNIT X - Probability Distributions

UNIT I: Applications of Matrices and Determinants

Adjoint and inverse of matrix - Properties, computation of inverses,
solution of system of linear equations - Matrix inversion method - Rank of
a matrix - Elementary transformation - Consistency of a system of linear
equations - Cramer's rule - Non-homogeneous equations - Homogeneous linear
system - Rank method.

UNIT II: Counting Algebra

Fundamental principle of counting - Factorial -Permutation - Circular
permutations - Combinations - Principle of mathematical induction.

UNIT III: Binomial Theorem

Binomial theorem for rational index - Proof only for integral value only -
Term independency of variable - Approximation - Simple problems.

UNIT IV: Vector Algebra

Vectors and Scalars - Representations of vectors - Operations of addition
and subtractions - Scalar and vector products - Triple products and
products vectors - Applications to mechanics - Applications to geometry -
Parallel & perpendicular vectors - Angle between lines - Equations of lines
and planes - Equation of sphere.

UNIT V: Complex Numbers

Complex Algebra - Fundamental operations on complex numbers - Ability to
separate real and imaginary parts - Compute absolute value - Multiplicative
inverse of a complex number - Conjugation - Triangle inequality -
Applications - De Moivre's theorem - Roots of a complex number - Euler
formula - Statement and meaning of fundamental theory of complex algebra.


UNIT VI: Analytical Geometry

Definition of a conic - Derivation of the standard equation of Parabola,
Ellipse, Hyperbola and rectangle hyperbola - Chords, tangents and normals -
Parametric representation - Asymptotes.


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UNIT VII: Applications of Differentiation

Derivative as a rate measurer - Derivative as a measure of slope - Maxima
and minima - Mean Value Theorems - Errors and approximations - Curve
tracing - Partial derivatives.

UNIT VIII: Applications of Integration

Definite integral - Identifying definite integral as the limit of a sum -
Properties of definite integral - Application of definite integral - Area
under a curve - Length of are of a curve - Surface and volume of
revolution.

UNIT IX: Differential Equations

Formation of differential equations - First order: Variables separable,
homogeneous equation, exact equations, linear equations - Second order
linear equations with constant coefficient - Geometrical applications
involving slope, tangent normal - Simple applications - Movement of a
particle, radioactive decay, heat conduction, electric circuits.

UNIT X: Probability Distributions

Random variable - Probability density function - Distribution function -
Mathematical expectation - Variance - Discrete distributions - Binomial and
Poisson continuous distribution - Normal distribution.

Reference books:

1. Text Book of Practical Mathematics - I.B. Prasad, Khanna Publishers,
Delhi
2. Engineering Mathematics - H. K. Dass, S. Chand & Company
3. Higher Engineering Mathematics - B.S. Grewal, Khanna
Publishers, New Delhi
34th edition, (1999)
4. Text Book of classes XI and XII - CBSE Mathematics


















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AMD00 S03 - ENGINEERING MATHEMATICS - II

MAJOR DIVISIONS:

UNIT I - Fundamentals of Trigonometry
UNIT II - Limits, Functions, and Continuity
UNIT III - Functions of Several Variables
UNIT IV - Infinite Series
UNIT V - Differential Calculus-Applications I
UNIT VI - Differential Calculus-Applications II
UNIT VII - Integral Calculus and its Applications
UNIT VIII - Improper Integrals and Multiple Integrals
UNIT IX - Definite Integrals and Differential Equations
UNIT X - Matrices

UNIT I: Fundamentals of Trigonometry

Angles in degrees and radians - relation between radians and degrees -
Trigonometric ratios- Trigonometrically identities - Addition formulae for
Trigonometric functions - Inverse trigonometric functions - relation
between sides and angles of a triangle - sine formula, Napier's formula,
cosine formula - Area of a triangles - solution of triangles - simple
problems.

UNIT II: Limits, Functions and Continuity

Functions - limit of a function - evaluation of limits - L' Hospital rule -
Definition of a Function - Definition and computation of Limits -
Definition of the derivative - Computation methods of derivatives -
Derivatives of polynomials - Instantaneous rates of change: Technical
Applications - Product, quotient and ge