SYLLABUS FOR B.TECH PROGRAMME
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,