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ENGLISH AND COMMUNICATION SKILLS – I
- COMMUNICATION SKILLS (12 Periods)
- Introduction and Process of Communication
- Objectives of Communication
- Verbal and Non-verbal Communication
- Process of Communication
- Barriers to Communication; Overcoming Strategies
- Listening and Speaking Skills and Sub-Skills (All topics should be in detail)
- GRAMMAR AND USAGE (08 Periods)
- Syntax (Parts of speech)
3. WRITING SKILLS (10 Periods)
3.1 Writing Paragraphs
3.2 Picture Composition
3.3 Developing writing skills based on some audio-visual stimulus
4. READING COMPREHENSION SKILLS (10 Periods)
Unseen comprehension passages (at least 3 passages of literary, scientific, data interpretation).
5. FACETS OF LITERATURE (24 Periods)
5.1Fiction 5.1.1 Homecoming – R.N. Tagore
5.1.2 The Selfish Giant – Oscar Wilde
5.1.3 The Missing Mail – R K Laxman
5.2 Prose
5.2.1 Of Studies – Francis Bacon
5.2.2 Art of Conversation – Richard Steel
5.2.3 Democracy – Dr. Radhakrishnan
5.3 Poems
5.3.1 Ozymandias – P.B. Shelley
5.3.2 Daffodils – William Wordsworth
5.3.3 Stopping by Woods on a Snowy Evening – Robert Frost
APPLIED MATHEMATICS – I
1. Algebra (30 Periods)
1.1 Series: A.P. and G.P., nth term of AP and GP, sum to nth term, Value of NPR and NCR.
1.2 Binomial theorem (without proof) for positive integral index (expansion and general form); binomial theorem for any index (expansion without proof)
1.3 Partial fractions (linear factors, repeated linear factors, non-reducible quadratic factors only)
1.4 Determinants and Matrices – expansion of determinants (up to third order), properties of determinants, solution of equations (up to 3 unknowns) by Cramer’s rule. Definition of the matrix, addition, subtraction, multiplication of matrices (up to third order), minors and co-factors, the inverse of a matrix by adjoint method (up to second order)
1.5 Scalar and vector product of two /three vectors
2. Trigonometry (20 Periods)
Review of ratios of some standard angles (0,30,45,60,90 degrees), T-Ratios of Allied angles (without proof), Sum, difference formulae, and their applications (without proof). Product formulae (Transformation of product to sum, difference, and vice versa). TRatios of multiple angles, sub-multiple angles (2A, 3A, A/2).
3.Complex numbers (10 Periods)
Definition of complex numbers, real and imaginary parts of a complex number, polar and Cartesian form and their inter-conversion, conjugate of a complex number, modulus and argument of a complex number, addition, subtraction, multiplication, and division of a complex number. De-Moiver’s Theorem (simple problems)
4. Co-ordinate Geometry (20 Periods)
4.1 Equation of a straight line in various standard forms (without proof), intersection of two straight lines, the angle between two lines, perpendicular distance formula (without proof)
4.2 General equation of a circle and its characteristics. To find the equation of a circle, given: * Centre and radius * Three points lying on it * Coordinates of endpoints of a diameter
4.3 Equations of conics (ellipse, parabola, and hyperbola), simple problems related to engineering (standards forms only)