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The existing B.A./B.Sc. (Honours)
Mathematics course is being replaced by a new course called B.Sc.
(Honours) Mathematics with effect from July 2009. Students from all
streams are eligible for it, provided that they have offered
Mathematics at Class XII, which will be counted as one of the best
four subjects, along with a least one language.
The course has twelve
100-mark papers from mathematics and four 50 mark papers to be
chosen by the student from a list of courses other than mathematics,
as well as one qualifying paper. Of the twelve mathematics papers,
three are done in the first year, four in the second year and and
five in the third year. Of the papers other than mathematics, three
(including the qualifying) are done in the first year, and two in
the second year.
The twelve papers in
mathematics cover a wide range of subjects from very abstract topics
to those that are more applied. Of the eleven compulsory papers,
three are from Abstract Algebra (including Linear Algebra) and three
from Analysis (including Complex Analysis), which amongst others lay
the foundations for this degree programme. The courses on
Probability Theory, C++ Programming and Numerical Methods,
Differential Equations and Mathematical Modelling provide platforms
for applications. The choices for the optional paper in the final
year cover both the abstract and applied aspects of mathematics. The
emphasis in BSc (Honours) Mathematics is on why results hold or on
why the mathematics works rather than on just learning the methods
and tools of solving mathematical problems. A recurring theme in the
mathematics to be taught is the aspect of visualization using
computer aided software.
Students will also have a
wide range of options for the five papers they will study from the
disciplines other than mathematics. The choice of papers is from a
variety of disciplines and several of the courses are
interdisciplinary in nature. Some of the disciplines are Physics,
Chemistry, Economics, English, Hindi, History, Political Science,
Philosophy and Sanskrit. The broad range of subjects studied, the
methodology of learning, and computing skills developed during the
three years will leave a BSc (Hons) Mathematics student with a large
number of career options to choose from.
On the whole, the content
and treatment of the mathematics is quite different from that
studied in school. The approach followed in school is mostly
computational, whereas in BSc (Hons) Mathematics, especially in the
abstract algebra, analysis and probability courses, what is required
is essentially an ability to think logically and reason in a
systematic way. This is somewhat similar to the kind of reasoning
employed in the theorems in school geometry. For the more classical
papers, familiarity with school-level differential and integral
calculus, trigonometry, plane graphs, elementary geometry, algebra
(logs, linear and quadratic equations, binomial theorem, AP and GP),
permutations and combinations and vectors is required. Aspirants for
this course would need to develop a habit of regular, systematic and
organized work. Time management would be crucial, especially if they
want to combine academics with some extra-curricular activities. |