WELCOME TO TECHNICAL PUBLICATIONS
You have no items in your shopping cart.
Close
Filters
Search

Decode Mathematics-I for GTU 18 Course (I - Common - 3110014)

SKU: 9789333219099
Dr. H. R. Bhapkar, Dr. Krishna Kumar ISBN-9789333219099
10% Discount
₹ 185.00
₹ 167.00
+ -

1) Indeterminate forms and L' Hospital's rule.
Improper Integrals, Convergence and divergence of the integrals, Beta and Gamma functions and their properties.
Applications of definite integral, Volume using cross-sections, Length of plane curves, Areas of Surfaces of Revolution (Chapter - 1)
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, 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 Maclaurin series. (Chapter - 2)
3) Fourier Series of periodic functions, Dirichlet's conditions for representation by a Fourier series, Orthogonality of the trigonometric system, Fourier Series of a function of period 2L, Fourier Series of even and odd functions, Half range expansions. (Chapter - 3)
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. (Chapter - 4)
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. (Chapter - 5)
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. (Chapters - 6 and 7)

 

1) Indeterminate forms and L' Hospital's rule.
Improper Integrals, Convergence and divergence of the integrals, Beta and Gamma functions and their properties.
Applications of definite integral, Volume using cross-sections, Length of plane curves, Areas of Surfaces of Revolution (Chapter - 1)
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, 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 Maclaurin series. (Chapter - 2)
3) Fourier Series of periodic functions, Dirichlet's conditions for representation by a Fourier series, Orthogonality of the trigonometric system, Fourier Series of a function of period 2L, Fourier Series of even and odd functions, Half range expansions. (Chapter - 3)
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. (Chapter - 4)
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. (Chapter - 5)
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. (Chapters - 6 and 7)

 

Write your own review
  • Only registered users can write reviews
  • Bad
  • Excellent
Customers who bought this item also bought

Decode Physics (Group 2) for GTU 18 Course (I - Comp./IT/EE/ECE/Elex. - 3110018)

Archana H. Bhapkar ISBN-9789333220897
10% Discount
₹ 72.00 ₹ 80.00

Decode Basic Electrical Engineering for GTU 18 Course (I - Common -3110005 )

U. A. Bakshi ISBN-9789333220460
10% Discount
₹ 149.00 ₹ 165.00

Decode English for GTU 18 Course (I - I - Common - 3110002)

Dr. Meenu Pandey ISBN-9789333221146
10% Discount
₹ 104.00 ₹ 115.00

Decode Environmental Science for GTU 18 Course (I - Common - 3110007)

Mrs. Anjali Bagad ISBN-9789333221047
10% Discount
₹ 63.00 ₹ 70.00