DEVI AHILYA VISHWAVIDYALAYA (DAVV), INDORE
Bachelor Of Computer Applications (BCA) (Full-Time)
Second-2nd-II Semester Curriculum/ Syllabus 2011-12 Academic Year Onwards
Second-2nd-II Semester Curriculum/ Syllabus 2011-12 Academic Year Onwards
Mathematics –
II – Syllabus
Mathematics –
II [BCA – 201] Syllabus /Course contents
Max. Marks : 50 Min. Marks
: 17
UNIT – I
Curve tracing: Tracing curves with equations in Cartesian &
polar forms. Improper integrals : Convergence of improper integrals. Evaluation
of convergent improper integrals.
UNIT – II
Gamma and Beta function and their properties, some important
deductions ( duplication formula) Rectification L length curve, intrinsic
equation.
UNIT – III
Multiple integrals : Integration of functions of two & three
variables, Double & triple integrals, Dirichlet integral use double &
triple integral in finding areas and volumes. Vector integration : Indefinite
and definite, surface and volume integrals, Gauss and stokes theorems and some
applications.
UNIT – IV
Partial differential : Function of several variables, Limits,
Continuity and differentiability, Partial derivatives, Eulers Theorem, Mean
Theorem & Tailors Theorem.
UNIT – V
Maxima & Minima function of two and three variables. convergence
and divergence of series : Definition and various tests.
TEXT BOOK
A text book of higher calculus for B.Sc II by Dr. H. S.
Pathak& D.C. Agrawal . Shikha Sahitya Prakashan.
REFERENCE BOOK
- A text book of higher calculus for B.Sc II by Dr. H. S. Sharma Ratan Prakashan.
Objective: The objective of this course is to help student gain knowledge
about advanced Calculus.
EXAMINATION: The internal examination will carry 20% marks i.e. 10 marks. The
external examination will be of 80% marks i.e. 40 marks. The question paper
will contain questions equally distributed in all units. The balance of the
paper will be maintained by including appropriate
(numerical/objective/conceptual/analytical/theoretical) combination of
subsection in each question.
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