Mathematics – 1 3110014 Syllabus Download With Weightage
Mathematics – 1 3110014 Syllabus is a term that refers to Electronics and Communication Department covers this subject This year, this Subject is covered in the 1th Semester.
|1||Indeterminate Forms and L’Hôspital’s Rule.
Improper Integrals, Convergence and divergence of the integrals, Beta
Applications of definite integral, Volume using cross-sections, Length of
|2||Convergence and divergence of sequences, The Sandwich Theorem for
Sequences, The Continuous Function Theorem for Sequences, Bounded
Monotonic Sequences, Convergence and divergence of an infinite series,
geometric series, telescoping series, nnn term test for divergent series,
Combining series, Harmonic Series, Integral test, The p – series, The
Comparison test, The Limit Comparison test, Ratio test, Raabe’s Test,
Root test, Alternating series test, Absolute and Conditional convergence,
Power series, Radius of convergence of a power series, Taylor and
|3||Fourier Series of 2n periodic functions, Dirichlet’s conditions for
representation by a Fourier series, Orthogonality of the trigonometric
system, Fourier Series of a function of period 2n, Fourier Series of
even and odd functions, Half range expansions.
|4||Functions of several variables, Limits and continuity, Test for non
existence of a limit, Partial differentiation, Mixed derivative theorem,
differentiability, Chain rule, Implicit differentiation, Gradient,
Directional derivative, tangent plane and normal line, total
differentiation, Local extreme values, Method of Lagrange Multipliers.
|5||Multiple integral, Double integral over Rectangles and general regions,
double integrals as volumes, Change of order of integration, double
integration in polar coordinates, Area by double integration, Triple
integrals in rectangular, cylindrical and spherical coordinates, Jacobian,
multiple integral by substitution.
|6||Elementary row operations in Matrix, Row echelon and Reduced row
echelon forms, Rank by echelon forms, Inverse by Gauss-Jordan method,Solution of system of linear equations by Gauss elimination and Gauss-
Jordan methods. Eigen values and eigen vectors, Cayley-Hamilton theorem, Diagonalization of a matrix.
Thank you for taking the time to come see us.
You have visited MordenTimeTech.com to get GTU B.E. Electronics and Communication Department SEM 1st Syllabus of Mathematics – 1 3110014
Along with the GTU B.E. Electronics and Communication department SEM 1th Syllabus, we provide a variety of other resources on MordenTimeTech.com. We provide GTU papers for all branches, as well as subject-specific GTU Papers, MCQs, and notes.