Shoolini University Admissions 2025
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JM College, Bhurkunda, as an affiliated college and is located in Ramgarh, Jharkhand. Offering a wide array of undergraduate courses in all faculties-Arts, Commerce, Science, and IT, JM College admission procedure is simple, intended to give access to the interested student community. The college is accredited through the National Assessment and Accreditation Council (NAAC) for its quality standards in education. Typically, the JM College admission procedure commences post-announcement of the 10+2 results, mostly in May or June. The students interested in seeking admission are asked to fill up an admission form, which can be bought from the college office or downloaded from the official website. JM College offers admission in different courses on the basis of marks in the qualifying examination (10+2 or equivalent).
The requirements for eligibility to apply for most undergraduate programmes basically include completing a 10+2 exam from a recognised board. The college may have special subject requirement patterns based on the course one wants to pursue. For instance, for B.Sc programmes, students may have to ensure that they have taken science subjects in their 10+2. The admission procedure is crafted so as to interface inclusively for students hailing from many backgrounds in the pursuit of higher education. Some courses may have counseling or interview sessions for placement of students into programmes congruent with their interests and aptitudes.
The admission process for JM College, Bhurkunda, is simple and student-friendly for prospective candidates. Below is a step-wise guide to the admission process:
There are 8 Undergraduate courses offered, and their admission procedures are:
JM College offers courses in various subjects at the BA level. The merit for admission is decided according to marks in the 10+2 examination. Students who successfully complete their higher secondary level class in any stream (Arts, Science, or Commerce) are eligible to apply for BA courses.
The selection of candidates for admission to the B.Com programme is held for students with an upper secondary education in commerce subjects or equivalent. The selection is made on the merit list arrived at by calculating the total marks scored at the qualifying examination.
JM College runs B.Sc. programmes in several disciplines including Botany Honors. To be admitted to the B.Sc. programmes, students should have passed the 10+2 examination, or an equivalent, with science. The method of selection is based on marks obtained in the respective subjects of the qualifying examination.
The B.B.A. programme at JM College is intended for students interested in management studies. JM College admission is based on the 10+2 marks of any stream, followed by a possible interview/group discussion.
For BCA programmes, students who have passed 10+2 with Mathematics are eligible to apply. The JM College admission process will be conducted on a merit basis/given an aptitude test.
This B Sc. Information Technology programme caters to students interested in IT and computer science. JM College admission is based on the 10+2 marks, with preference given to students who have studied Mathematics and Computer Science.
For aspiring journalists, JM College offers a BA in Journalism. JM College admission is based on the 10+2 marks, and the college may conduct an aptitude test or interview to assess the candidate's suitability for the programme.
Candidates must carry these records for institutional record-keeping and validation.
Syllabus Maths(Hons.)
Semester 1
Core course 1
ANALYTIC GEOMETRY 2D, HIGHER ALGEBRA & TRIGONOMETRY
Theory: 75 Lectures; Tutorial:15 Lectures
UNIT I - ANALYTICAL GEOMETRY OF 2D
Change of rectangular axes. Condition for the general equation of second degree to represent parabola,
ellipse, hyperbola and reduction into standard forms. Equations of tangent and normal (Using Calculus).
Chord of contact, Pole and Polar. Pair of tangents in reference to general equation of conic. Axes, centre,
director circle in reference to general equation of conic. Polar equation of conic.
UNIT II - HIGHER ALGEBRA & TRIGONOMETRY
Statement and proof of binomial theorem for any index, exponential and logarithmic series.
De Moivre’s theorem and its applications.
Trigonometric and Exponential functions of complex argument and hyperbolic functions.
Summation of Trigonometrical series.
Factorisation of sin , cos .
Books Recommended:
Analytical Geometry & Vector Analysis – B. K. Kar, Books & Allied Co., Kolkata
Analytical Geometry of two dimension – Askwith
Coordinate Geometry – S L Loney.
Trigonometry – Das and Mukherjee
Trigonometry - Dasgupta
Core Course 2
DIFFERENTIAL CALCULUS & VECTOR CALCULUS
Theory: 75 Lectures; Tutorial:15 Lectures
UNIT I - DIFFERENTIAL CALCULUS
Successive differentiation, Leibnitz’s theorem. Maclaurin and Taylor series expansion.
Partial differentiation, Euler’s theorem for functions of two variables, Total differential, Jacobian.
Tangent and normal, curvature. Asymptotes. Maxima and Minima of functions of two variables,
Lagrange’s multipliers.
UNIT II - VECTOR CALCULUS
Product of three and four vectors, work done, moment of a vector about a point and a line.
Scalar and vector point functions, differentiation of a vector function of scalar variables. Gradient,
Divergence and Curl, second order operators in Cartesian coordinate system.
Suggested Readings
Calculus – G B Thomas & R L Finney.
Differential Calculus – Das & Mukherjee.
Vector Calculus – Dasgupta.
Vector Calculus – Shanti Narayan
Semester 2
Core Course 3
ANALYSIS - I Theory: 75 Lectures; Tutorial:15 Lectures
UNIT I – ANALYSIS - I
The axiom of least upper bound and greatest lower bound in R. The completeness property of R,
Archimedean property, density of rational and irrational numbers in R. Neighbourhoods and limit
point of a set, open and closed sets, isolated points, Bolzano – Weierstrass theorem for sets (Statement
only).
Sequences, bounded sequence, convergent sequence, monotonic sequence, subsequence, Cauchy
sequence and Cauchy’s general principle of convergence.
Infinite series, Convergence and divergence of infinite series of real numbers, Pringsheim’s theorem,
Comparison test, Cauchy’s root test, D’Alembert’s ratio test, Raabe’s test, De-Morgan’s and
Bertrand’s test, Gauss’s ratio test, Cauchy’s condensation test, Integral test, Alternating Series,
Leibnitz test, Absolute and conditional convergence.
Books Recommended:
Elements of Real Analysis – Shanti Narayan & M D Raisinghania.
Higher Algebra – S Bernard & J M Child
Core Course 4
LNTEGRAL CALCULUS & ANALYTIC GEOMETRY 3D
Theory: 75 Lectures; Tutorial:15 Lectures
UNIT I – INTEGRAL CALCULUS
Integration of rational and irrational functions.
Evaluation of definite integrals, Special integrals, differentiation and integration under the sign of
integration (Beta and Gamma functions are excluded), reduction formulae.
Point of inflexion, double point, curve tracing. Length of plane curve and area bounded by plane
curves. Volume and surface area of solid of revolution.
UNIT II – ANALYTICAL GEOMETRY 3D
Rectangular, spherical-polar and cylindrical co-ordinates, direction cosines.
Angle between straight lines, equation of planes and straight lines, shortest distance between the lines.
Sphere.
Suggested Readings
Calculus – G B Thomas & R L Finney.
Integral Calculus – Das & Mukherjee.
Integral Calculus – Lalji Prasad.
Coordinate Geometry of 3D – J T Bell
Analytical Geometry of 3D – Lalji Prasad.
Semester 3
Core Course 5
THEORY OF REAL FUNCTIONS Theory: 75 Lectures; Tutorial:15 Lectures
UNIT I
Limit of functions: Limit, algebra of limit of functions. Continuity and discontinuities, algebra of
continuous functions. Intermediate value theorem, location of roots theorem, preservation of intervals
theorem. Uniform continuity, functions of bounded variations
And more download the pdf syllabus from the Vinoba Bhave University Site or Ranchi University(same syllabus) site
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