Sidho-Kanho-Birsha University

Syllabus & Course Curriculam

Syllabus (MATHEMATICS)

Course Type: ME-2

Semester: 2

Course Code: BMTMMEB12T

Course Title: Algebra and Analytical Geometry in 2D & 3D

(L-P-Tu): 4-0-0

Credit: 4

Practical/Theory: Theory

Course Objective: To be done.

Learning Outcome: Course Outcomes (CO): The whole course will have the following outcomes: Upon successful completion, the students will be able to CO1: learn concepts of complex numbers, De’Movire’s theorem and its application, theory of equations CO2: Group theory is

Syllabus:

Unit-1: Algebra [Credit: 2, 30 L]

Complex Numbers: De-Moivre’s theorem (Statement only) and its applications, Polynomial equations with real coefficient, Multiple roots, Descartes’ rule of sign, Relation between roots and coefficients, Transformation of equations, Reciprocal equation, solution of cubic equations-Cardan’s method

Inverse of a matrix, Rank of a matrix, Solution of system of m-linear equations with n- variables by matrix methods, Eigen values and Eigen vector of a matrix, Cayley-Hamilton theorem (Statement only) and its use

Group: Definition and examples, Abelian group, Subgroup,

Ring and Field: Definition and examples

Unit-2: Analytical Geometry in 2D & 3D [Credit: 2, 30 L]

Analytical Geometry in 2D:

Transformation of Rectangular axes: Translation, Rotation and Rigid body motion, Theory of Invariants, General equation of second degree in two variables, reduction into canonical forms and classification of conics

Pair of straight lines: Condition that the general equation of second degree in two variables may represent two straight lines, Point of intersection, Angle between pair of lines, Angle bisectors

Polar co-ordinate system: polar equation of Straight lines, circles.

Analytical Geometry in 3D:

Plane, Straight line,

Sphere: General Equation, Circle, Sphere through circle

Reference Books

    1. S.K. Mapa; Higher Algebra Classical; Levant.
    2. J.G. Chakraborty & P.R. Ghosh; Higher Algebra; U N Dhur
    3. S.K. Mapa; Higher Algebra Abstract & Linear; Levant.
    4. R. M. Khan; Algebra; New Central Book Agency.
    5. J. G. Chakraborty, P. R. Ghosh; Advanced Analytical Geometry; U N Dhur Pub. House.
  1. R. M. Khan; Analytical Geometry of Two and Three Dimensions and Vector Analysis; New Central Book Agency.
  2. S.L. Loney; The Elements of Coordinate Geometry; Arihant.

Basic Features

Undergraduate degree programmes of either 3 or 4-year duration, with multiple entry and exit points and re-entry options, with appropriate certifications such as: 

Note: The eligibility condition of doing the UG degree (Honours with Research) is- minimum75% marks to be obtained in the first six semesters.

Powered By CityHub web solution

Help?

Q. CityHub Help Desk Addressপ্র. সিটিহাব ওয়েব সমাধান সহায়তা ডেস্কের ঠিকানা?

A. Click Here to See in Maps

Vidya Computer and Printing Centre,
Mini Bus Stand, Bus Stand Rd,
Purulia, West Bengal 723101
উ. মানচিত্রে দেখতে এখানে ক্লিক করুন

বিদ্যা কম্পিউটার ও প্রিন্টিং সেন্টার
মিনি বাস স্ট্যান্ড, বাস স্ট্যান্ড রোড,
পুরুলিয়া, পশ্চিমবঙ্গ 723101

Q. WhatsApp helpline number?প্র. হোয়াটস্যাপ হেল্পলাইন নম্বর?

A. Click Here or WhatsApp at +919002584311উ. এখানে ক্লিক করুন অথবা +919002584311 এ WhatsApp করুন