COURSE OBJECTIVE OF MATHEMATICS (CBCS)

CC1: The objectives of this course are 

• To set forth the processes of thinking by which the concepts and methods of calculus are observed. To evolved mathematical concepts, mathematical operations and new mode of approach on basis of different problems.
• To develop knowledge and understanding of basic ideas on co-ordinates, different quadrics with usual properties, general equations, generating lines and vector algebra those are needful for various branches of science.
• To developed skill of applying geometry through problem solving and modelling in real world contexts.
• Establish the correspondence between Geometric and Algebraic notion of a vector.
• Adaptation of suitable examples those are covering Geometrical, Trigonometrical and Physical problems.

CC2: The objectives of this course are 

• To producing some topics which are developing logically and some current trends in modern algebra like complex number, complex function and theory of equation.
• To motivated on logical order and utilitarianism of new concepts.
• To imposed the concept of linear order mathematical models which have an important role in almost all the physical and social sciences which simulated a remarkable growth of interest in linear algebra.
• To introduce new ideas which give the reader a good intuitive ‘feeling’ for abstract axiomatic development.

CC3: The objectives of this course are

• To introduced essential properties of rational numbers, real numbers, and function of several variables, convergence of series and sequence.
• Different examples which should help infixing better ideas on theoretical analysis.

CC4:  The objectives of this course are

• Development of advanced knowledge on group theory which will be helpful to modelled various physical systems such as crystals and hydrogen atom.
• To introduced the application of group theory in physics, chemistry and material science.

CC5: The objectives of this course are

• To developed fundamental concept in modern calculus and analysis such as limit & continuity, discontinuity, uniform continuity, differentiability of functions,
• Application of such properties of function in modern calculus.

CC6:The objectives of this course are

• To developed conceptual and theoretical development of ring structure which is one of the fundamental algebraic structures used in abstract algebra.
• To introduce some extended concept on ring theory such as ideals, ring homomorphism etc.
• To developed of some advisable problems on ring theory.
• To explain some functions defined between vector spaces.
• To expressed some of the algebra operations between linear transformations and its different properties.
• To explained matrix representation of a linear transformation.

CC7& CC9: The objectives of this course are

• To introduced to the theory, solution and application of differential equations.
• To introduced different methods to solving differential equations and its existence and uniqueness theorems.
• To developed the relationship between differential equation and linear algebra as well as power series solutions of differential equations.
• To introduced application of differential equations in physics, engineering, biology and economics.
• To introduce concept of Calculus of several variables, partial derivatives, critical points, multiple integrals, gradient, curl, divergence, Green's theorem and Stokes' theorem etc.

CC8: The objectives of this course are to 

• Develop conceptual and Procedural understanding to define a definite integral as the limit of Riemann sums; conversely, be able to recognize a given limit of Riemann sums as corresponding to a definite integral.
• Interpret a definite integral geometrically as the net area of an associated region R, and express the area for a given region as a definite integral.
• Compute definite integrals of simple functions by using the geometric interpretation and facts about area. Finally to compute definite integrals of polynomial functions using the limit definition.

CC10: The objectives of this course are to

• To aware of limitation of mechanics & to apply the ideas in solving the problems in their parent streams.
• To develop the understanding of laws of mechanics and their application in various processes
• Explain fundamentals of mechanics and apply to one and two dimensional motion of particles
• To formulate and solve different mechanical problems related to our real life phenomenon^.

CC11: This course aims to 

• Provide an understanding of the basic concepts in probability, conditional probability, and independent events, random variables (discrete and continuous), different statistical characteristics.
• To focused on the random variable, mathematical expectation, and different types of distributions, sampling theory and estimation theory.
• Another objective of the course is to design a statistical hypothesis about the real world problem and to conduct appropriate test for drawing valid inference about the population characteristics.
• To introduced the knowledge of hypothesis testing for any research work.

CC12:  The objectives of this course are to 

• Develop concepts of and the relationships between operations satisfying various properties (e.g. closure, associate, commutative property).
• Present concepts and properties of various algebraic structures.
• Discuss the importance of algebraic properties relative to working within various number systems. Solve systems of linear equations.
• Analyze vectors in  geometrically and algebraically.
• Recognize the concepts of the terms span, linear independence, basis, and dimension, and apply these concepts to various vector spaces and subspaces.
• Used of matrix algebra and the related matrices to linear transformations. Compute and use determinants. Compute and use eigenvectors and Eigen values.

CC13: The objectives of this course are to

• Isolate the three fundamental properties of distance and base all our deductions on these three properties alone in the treatment of the metric spaces;
• Introduced the students to the definitions of basic terms and concepts in metric space topology;
• Provide students with systematic proofs of theorems using the definitions of basic terms and properties of metrics.
• Treat the various basic concepts of open and closed sets, adherent points, convergent and Cauchy convergent sequences, complete spaces ;
• Compactness and connectedness etc. to the students.
• Understand how complex numbers provide a satisfying extension of the real numbers.
• Learn techniques of complex analysis that make practical problems easy (e.g. graphical rotation and scaling as an example of complex multiplication).

CC14: The objectives of this course are

• To provide suitable and effective Numerical Methods, for obtaining approximate representative numerical results of the problems.
• To solve problems in the field of Applied Mathematics, Theoretical Physics and Engineering this requires computing of numerical results using some numerical value.
• To solve complex mathematical problems using only simple arithmetic operations to facilitates numerical computing.
• The approach involves formulation of mathematical models of physical situations that can be solved with arithmetic operations.
• To deal with various topics like finding roots of equation, solving systems of linear algebraic equations, interpolation & regression analysis, numerical integration & differentiation, solution of differential equation, boundary value problem, solution of matrix problems etc.

1st Semester (Hons.): Geometry : Translation & Rotation (Prof. Ruma Pal (Pachhal)) Vector Analysis (1) (Prof. Subhash Chandra Mondal) Vector Analysis (2) (Prof. Subhash Chandra Mondal) Vector Analysis (3) (Prof. Subhash Chandra Mondal) Vector Analysis (3) (Prof. Subhash Chandra Mondal) Vector Analysis (4) (Prof. Subhash Chandra Mondal) Complex Number (POLAR REPRESENTATION) (Prof. Mumpy Das) 1st Semester (Gen.):   2nd Semester (Hons.): Theory of Convergence : Infinite series of real constants (Prof. Ruma Pal (Pachhal)) Materials on symmetries of a square (Prof. Mumpy Das) Cyclic Group (Prof. Mumpy Das) Properties of real number (Dr. Bijon Biswas) Infinite Series (Prof. Ruma Pal (Pachhal)) Group Theory Part 1 (Prof. Mumpy Das) Infinite Series (Prof. Ruma Pal (Pachhal)) Group Theory Part II (Prof. Mumpy Das) Sequence (1) (Prof. Subhash Chandra Mondal) Sequence (2) (Dr. Subhash Chandra Mondal) Sequence (3) (Prof. Subhash Chandra Mondal) Sequence (4) (Prof. Subhash Chandra Mondal) Subgroup (Prof. Mumpy Das) Group Theory Part III (Prof. Mumpy Das) Sandwich (Prof. Subhash Chndra Mondal) Group theory Part IV (Prof. Mumpy Das) Seq_con_div(1) (Prof. Subhash Chandra Mondal) Seq_con_div(2) (Prof. Subhash Chandra Mondal) Seq_con_div(3) (Prof. Subhash Chandra Mondal) Permutation I (Prof. Mumpy Das) Limit of sequence (Prof. Subhash Chandra Mondal) Weierstrass Theory (Prof. Subhash Chandra Mondal) Permutation II (Prof. Mumpy Das) Coset I (Prof. Mumpy Das) Coset II (Prof. Mumpy Das) Coset III (Prof. Mumpy Das) Limit_of_Sequence(1) (Prof. Subhash Chandra Mondal) Limit_of_Sequence(2) (Prof. Subhash Chandra Mondal) Limit_of_Sequence(3) (Prof. Subhash Chandra Mondal) Limit_of_Sequence(4) (Prof. Subhash Chandra Mondal) Limit_of_Sequence(5) (Prof. Subhash Chandra Mondal) Limit_of_Sequence(6) (Prof. Subhash Chandra Mondal) Limit_of_Sequence(7) (Prof. Subhash Chandra Mondal) Limit_of_Sequence(8) (Prof. Subhash Chandra Mondal) Bounded_Sequence(1) (Prof. Subhash Chandra Mondal) Bounded_Sequence(2) (Prof. Subhash Chandra Mondal) 2nd Semester (Gen.):   3rd Semester (Hons.): Ring theory I (Prof. Mumpy Das) Ring theory II (Prof. Mumpy Das) Ring theory III (Prof. Mumpy Das) Vector_Space(1) (Prof. Subhash Chandra Mondal) Vector_Space(2) (Prof. Subhash Chandra Mondal) Vector_Space(3) (Prof. Subhash Chandra Mondal) Vector_Space(4) (Prof. Subhash Chandra Mondal) Vector_Space(5) (Prof. Subhash chandra Mondal) Vector_Space(6) (Prof. Subhash Chandra Mondal) Vector_Space(7) (Prof. Subash Chandra Mondal) Vector_Space(8) (Prof. Subhash Chandra Mondal) Subring I (Prof. Mumpy Das) Subring II (Prof. Mumpy Das) Ordinary Differential Equation (Prof. Ruma Pal (Pachhal)) Solution & Formation of Differential Equation (Prof. Ruma Pal(Pachhal)) Exact D.E. & Integrating Factor (Prof. Ruma Pal(Pachhal)) Logarithm(4) (Prof. Subhash Chandra Mondal) Logarithm(5) (Prof. Subhash Chandra Mondal) Logarithm(6) (Prof. Subhash Chandra Mondal) Logarithm(8) (Prof. Subhash Chandra Mondal) Logarithm(9) (Prof. Subhash Chandra Mondal) Algebra of limits for functions (Dr. Bijon Biswas) Divisor of Zero (Prof. Mumpy Das) Integral Domain (Prof. Mumpy Das) V_Space(9) (Prof. Subhash Chandra Mondal) V_Space(10) (Prof. Subhash Chandra Mondal) V_Space(11) (Prof. Subhash Chandra Mondal) V_Space(12) (Prof. Subhash Chandra Mondal) V_Space(13) (Prof. Subhash Chandra Mondal) V_Space(14) (Prof. Subhash Chandra Mondal) V_Space(15) (Prof. Subhash Chandra Mondal) Computer_fundamentals_(1) (Prof. Subhash Chandra Mondal) Computer(1) (Prof. Subhash Chandra Mondal) Computer(2) (Prof. Subhash Chandra Mondal) Computer(3) (Prof. Subhash Chandra Mondal) Computer(4) (Prof. Subhash Chandra Mondal) Computer(5) (Prof. Subhash Chandra Mondal) Computer(6) (Prof. Subhash Chandra Mondal) Computer(7) (Prof. Subhash Chandra Mondal) 3rd Semester (Gen.): Logarithm(4) (Prof. Subhash Chandra Mondal) Logarithm(5) (Prof. Subhash Chandra Mondal) Logarithm(6) (Prof. Subhash Chandra Mondal) 4th Semester (Hons.): Improper integral (Prof. Mumpy Das) Compactness in R-PART-II (Prof. Mumpy Das) PDE (Prof. Ruma Pal (Pachhal)) Improper Integral II (Prof. Mumpy Das) Non-Linear PDE of 1st Order CCIX (Prof. Ruma Pal(Pachhal) Projectile motion (Prof. Subhash Chandra Mondal) Motion in Plane(1) (Prof. Subhash Chandra Mondal) Improper Integral(III) (Prof. Mumpy Das) Improper Integral (IV) (Prof. Mumpy Das) Kinematics(1) (Prof. Subhash Chandra Mondal) Non Linear P.D.E. of 1st Order(CCIX) (Prof. Ruma Pal (Pachhal)) Beta function (Prof. Mumpy Das) Improper Integral(V) (Prof. Mumpy Das) Kinematics(2) (Prof. Subhash Chandra Mondal) Beta & Gamma function (Prof. Mumpy Das) Cyclic group II (Prof. Mumpy Das) Partial Differential Equation (Prof. Ruma Pal (Pachhal)) Partial Differential Equation (Prof. Ruma Pal (Pachhal)) Gamma function II (Prof. Mumpy Das) P.D.E. (Prof. Ruma Pal(Pachal)) Beta & gamma function III (Prof. Mumpy Das) Beta & Gamma worksheet (Prof. Mumpy Das) Mathematical Logic (Prof. Ruma Pal (Pachhal)) 4th Semester (Gen.): Probability Theory (Prof. Ruma Pal (Pachhal)) Pertial Differential Equation (Prof. Ruma Pal (Pachhal)) Bivariate Distribution(1) (Prof. Subhash Chandra Mondal) Scatter plot(3) (Prof. Subhash Chandra Mondal) Correlation Coefficient(4) (Prof. Subhash Chandra Mondal) Properties of Coef (Prof. Subhash Chandra Mondal) Emailing Probability and statistics (Prof. Ruma Pal(Pachhal)) Probability and statistics (Prof. Ruma Pal(Pachhal)) Probability & Statistics (Prof. Ruma Pal (Pachhal)) Probability and statistics (Prof. Ruma Pal(Pachhal)) Mathematical Logic (Prof. Ruma Pal (Pachhal)) 5th Semester (Hons.): L.P.P. (Prof. Ruma Pal (Pachhal)) Automorphism III (Prof. Mumpy Das) Automorphism IV (Prof. Mumpy Das) Automorphism V (Prof. Mumpy Das) Determinant III (Prof. Mumpy Das) Probability(1) (Prof. Subhash Chandra Mondal) Probability(2) (Prof. Subhash Chandra Mondal) Probability(3) (Prof. Subhash Chandra Mondal) Probability(4) (Prof. Subhash Chandra Mondal) Probability(5) (Prof. Subhash Chandra Mondal) Convex set(LPP) (Prof. Ruma Pal (Pachhal)) Function_Ques 1 (Prof. Subhash Chandra Mondal) Function_Ques 2 (Prof. Subhash Chandra Mondal) Function_Ques 3 (Prof. Subhash Chandra Mondal) Automorphism VI (Prof. Mumpy Das) Probability(7) (Prof. Subhash Chandra Mondal) Probability(8) (Prof. Subhash Chandra Mondal) Probability(9) (Prof. Subhash Chandra Mondal) Probability(10) (Prof. Subhash Chandra Mondal) Probability(11) (Prof. Subhash Chandra Mondal) Probability(12) (Prof. Subhash Chandra Mondal) Probability(13) (Prof. Subhash Chandra Mondal) Probability(14) (Prof. Subhash Chandra Mondal) Probability Distribution(1) (Prof. Subhash Chandra Mondal) Probability Distribution(2) (Prof. Subhash Chandra Mondal) Probability Distribution(3) (Prof. Subhash Chandra Mondal) Probability Distribution(4) (Prof. Subhash Chandra Mondal) 5th Semester (Gen.): Automorphism I (Prof. Mumpy Das) Automorphism II (Prof. Mumpy Das) Particle Dynamics - Velocity & Acceleration (Prof. Ruma Pal (Pachhal)) Equations of Motion in Cartesian Co-ordinates (Prof. Ruma Pal (Pachhal)) Function_Ques 1 (Prof. Subhash Chandra Mondal) Function_Ques 2 (Prof. Subhash Chandra Mondal) Function_Ques 3 (Prof. Subhash Chandra Mondal)   6th Semester (Hons.):   6th Semester (Gen.):   3rd Year (Hons.):   3rd Year (Gen.): Boolean Algebra 2 (Prof. Ruma Pal (Pachhal)) Boolean Algebra (Prof. Ruma Pal (Pachhal))