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22nd June 2020, 01:04 PM
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Re: Syllabus of BSC Mathematics General Punjab University

Can you provide me the syllabus for B. Sc. (Honours) in Mathematics Program offered by Panjab University, Chandigarh as I need it for preparation of exam?
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22nd June 2020, 01:07 PM
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Re: Syllabus of BSC Mathematics General Punjab University

The syllabus for B. Sc. (Honours) in Mathematics Program offered by Panjab University, Chandigarh is as follows:


Semester I
MAT-C1: Calculus
THEORY


Unit I
Higher order derivatives, Leibniz rule and its applications, L’Hospital’s rule,
Derivations and Applications of Reduction Formulae for the Integrals of Trigonometric
Functions.
Scope as in [1] Chapter 2, Section 6.6 and [2] Chapter 4.


Unit II
Concavity and inflection points, asymptotes, curve tracing in Cartesian coordinates,
tracing in polar coordinates of standard curves, Techniques of sketching conics,
reflection properties of conics, rotation of axes and second degree equations,
classification into conics using the discriminant, Hyperbolic functions and their
properties.
Scope as in [1] Sections 3.4, 3.5, 6.10, 9.1, 9.2, 9.3.


Unit III
Volumes by slicing, disks and washers methods, volumes by cylindrical shells,
parametric equations, parameterizing a curve, arc length, arc length of parametric
curves, area of surface of revolution.
Scope as in [1] Sections 5.2 to 5.6


Unit IV
Triple product, introduction to vector functions, operations with vector-valued
functions, limits and continuity of vector functions, differentiation and integration of
vector functions, tangent and normal components of acceleration.
Scope as in [1] Sections 10.1 to 10.5, 11.1, 11.3, 11.4.


List of Practicals (using any software)
(i) Matrix operation (addition, multiplication, inverse, transpose).
(ii) Plotting of graphs of function eax + b, log(ax + b), 1/(ax + b), sin(ax + b), cos(ax + b), |ax + b|and to illustrate the effect of a and b on the graph.
(iii) Plotting the graphs of polynomial of degree 4 and 5, the derivative graph, the second derivative graph and comparing them.
(iv) Obtaining surface of revolution of curves.
(v) Tracing of conics in Cartesian coordinates/ polar coordinates.
(vi) Sketching ellipsoid, hyperboloid of one and two sheets, elliptic cone, elliptic, paraboloid, hyperbolic paraboloid using cartesian coordinates.


Books Recommended
1. G.B. Thomas and R.L. Finney, Calculus, 9th Ed., Pearson Education, Delhi, 2005.
2. Shanti Narayan, Integral Calculus, S. Chand and Company Ltd, 2001.
3. M.J. Strauss, G.L. Bradley and K. J. Smith, Calculus, 3rd Ed., Dorling Kindersley (India) P. Ltd. (Pearson Education), Delhi, 2007.
4. H. Anton, I. Bivens and S. Davis, Calculus, 7th Ed., John Wiley and Sons (Asia) P. Ltd., Singapore, 2002.
5. R. Courant and F. John, Introduction to Calculus and Analysis (Volumes I & II), Springer-Verlag, New York, Inc., 1989.

Syllabus B. Sc. (Honours) in Mathematics Panjab University, Chandigarh







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