# First Semester Syllabus Uttarakhand Polytechnic – IT, Electronics, Civil

Hello दोस्तों! यहाँ पर आपको uttarakhand polytechnic 1st Semester का syllabus मिलेगा. आप इसकी pdf भी download कर सकते हैं और पढ़ भी सकते हैं. यह सिलेबस IT, electronics और Civil के लिए है.

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## ENGLISH AND COMMUNICATION SKILLS – I

1. COMMUNICATION SKILLS (12 Periods)
1. Introduction and Process of Communication
1. Objectives of Communication
1. Verbal and Non-verbal Communication
1. Process of Communication
1. Barriers to Communication; Overcoming Strategies
1. Listening and Speaking Skills and Sub-Skills (All topics should be in detail)

2. GRAMMAR AND USAGE (08 Periods)
1. 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

5.3 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)