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Updated on Jun 13 2025, 06:03 PM IST by Team Careers360

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B.Sc Botany Hons

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JM College, Bhurkunda Admission Process

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.

JM College Application Process

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:

  • Get the Application form: Interested candidates can collect the application form from the College Office or download it from the official college website.
  • Filling up of the application form: Completion of the application form is to be carefully done in all aspects with true information. An applicant needs to check and ensure that he/she satisfies the admission requirements for the concerned course.
  • Attachment of required documents: The candidate must attach the documents to the filled-out admission application.
  • Application Submission: Duly filled in an application form along with required documents to be submitted to the college admission office till the deadline.
  • A merit list shall be prepared by the college for each course on the basis of marks obtained by candidates in qualifying examination (10+2).
  • The shortlisted candidates may be called for counseling and document verification. This is a vital stage for all information provided to be confirmed.
  • After payment of admission fees, candidates will become admitted. The total fees for most of the courses in JM College, Bhurkunda, would be Rs 19,450.
  • Orientation: Admitted students normally will have to attend orientation programmes to acclimatise themselves with the college rules, facilities, and the academic environment.

JM College Degree wise Admission Process

There are 8 Undergraduate courses offered, and their admission procedures are:

JM College BA (Bachelor of Arts) Admission Process

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.

JM College B.Com (Bachelor of Commerce) Admission Process

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 B.Sc. (Bachelor of Science) Admission Process

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.

JM College B.B.A. Admission Process

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.

JM College B.C.A. (Bachelor in Computer Applications) Admission Process

 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.

JM College B Sc. Information Technology Admission Process

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.

JM College BA Journalism Admission Process

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.

JM College Documents Required

  • Attested copies of 10th and 12th mark sheets,
  • Character certificate from the last attended institution,
  • Transfer certificate (if applicable),
  • Caste certificate (for reserved category students),
  • Recent passport-size photographs.

Candidates must carry these records for institutional record-keeping and validation.

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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

Best Regards


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