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SYLLABUS FOR B.TECH PROGRAMME IN MECHANICAL ENGINEERING FIRST SEMESTER HSC11101: ENGLISH FOR SCIENCE AND TECHNOLOGY L – T – P: 3 – 1 – 0 Language Resource Development: Using appropriate grammatical lexical forms to express meaning-accuracy, range and appropriacy to context; remedial exercises. Reading Interpreting and using (a) written, and (b) graphic information: (a) Using (reading and writing) academic texts, articles in technical journals, instruction manuals/laboratory instruction sheets, safety manuals and regulations, and reports; and (b) Using maps, graphs, plan, diagrams, flow-charts, sketches, tabulated and statistical data. Writing Appropriately in a range of rhetorical styles i.e. formal and informal: Writing instructions, describing objects and processes, defining, narrating, classifying exemplifying comparing, contrasting, hypothesizing, predicting, concluding, generalizing restating, reporting; note making (from books/journals); writing assignments; summarizing, expanding, paraphrasing; answering exam questions; and correspondence skills; interpreting, expressing and negotiating meaning, creating coherent written tests according to the conventions. Receiving and interpreting the spoken word: Listening to lectures and speeches, listening to discussions and explanations in tutorials; Note taking (from lectures). Interacting orally in academic, professional and social situation; understanding interlocutor, creating coherent discourse, and taking appropriate turns in conversation. Negotiating meanings with other (in class room, workshop, laboratory, seminar, conference, discussion, interview etc). AMC11101: MATHEMATICS – I L –T – P: 3 – 1 – 0 Calculus-I: Indeterminate forms and L’ Hospital’s rule, successive differentiation of one variable and Leibnitz theorem, Taylor’s and Maclaurin’s expansion of functions of one variable. Functions of several variables, partial derivatives, homogeneous functions, Euler’s theorem, derivatives of composite and implicit functions, total derivatives, Jacobians, Taylor’s and Aclaurin’s expansion of functions of several variables, Errors and approximations, Maxima and minima of functions of two and three variables, Lagrange’s method of undetermined multipliers. Curvature and asymptotes, concavity and convexity and point of inflection. Calculus-II: Reduction formulae, improper integrals, convergence of improper integrals, test of convergence, Beta and Gamma functions and its properties Differentiation under integral sign; differentiation of integrals with constant and variable limits; Leibinitz rule. Evaluation of double integrals: Change of order of integration, change of coordinates, evaluation of area using double integrals, Evaluation of triple integrals, change of coordinates, evaluation of volumes of solids and curved surfaces using double and triple integrals. Mass, center of gravity and moment of inertia of two and three-dimensional bodies. Trigonometry of Complex Number, 3D Geometry and Algebra: Function of complex arguments,
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This note was uploaded on 09/28/2011 for the course MECH 175 taught by Professor All during the Fall '11 term at Indian Institute of Technology, Guwahati.

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