Online Live B.Tech Mathematics-I Tutorial Classes

Course Objective: To acquaint the students with the knowledge of series & sequence, single & multiple variable calculus, knowledge of vector calculus and their applications. Hence, contact for Online Live B.Tech Mathematics-I Tutorial Classes.

Struggling with Mathematics-I? Join our Online Live B.Tech Tutorial Classes and turn confusion into clarity! These interactive sessions are designed for first-year engineering students, covering topics like calculus, linear algebra, and differential equations with step-by-step explanations. Our expert tutors simplify complex concepts, solve doubts in real-time, and prepare you for semester exams with focused practice and smart tips. Whether you’re from B.Tech CSE, ME, ECE, or Civil—these classes are tailored to support all branches. Stay ahead from the comfort of your home with daily live sessions and comprehensive study material. Learn smarter, score higher, and build your math confidence!

Analyze an infinite series of positive terms for convergence or divergence, and distinguish between absolute and conditional convergence.
Apply differential calculus to obtain Maclaurin’s and Taylor’s expansions, find the radius of curvature, sketch some standard curves, and calculate arc length and surface area using definite integrals.
Explain the various concepts of calculus and the properties of functions of several variables, find the maxima-minima, and estimate the error.
Explain the concept of multiple integrals, and apply multiple integration techniques for solving problems related to area and volume
Interpret various concepts of differential and integral calculus of vector point functions and apply them to evaluate work done by a force or in other applications, and understand the concepts underlying Green’s, Stoke’s, and Gauss divergence theorems

Infinite series: Tests for convergence of positive term series (Comparison, Ratio, nth Root, integral, Raabe’s, Logarithmic), Alternating series, Absolute convergence, Conditional convergence.
Differential & Integral Calculus of single variable: Maclaurin’s and Taylor’s Expansions, Radius of curvature, Tracing of some standard curves, Applications of definite integral to arc length and surface area (Cartesian and polar coordinates).
Calculus of several variables: Partial differentiation, Euler’s theorem, Total derivative, Taylor’s Expansion, Maxima-Minima, Lagrange’s method of multipliers, Applications in estimation of error and approximation.
Multiple Integrals: Double integral (Cartesian and polar co-ordinates), change of order of integration, triple integrals (Cartesian, cylindrical and spherical co-ordinates), Applications to area and volume.
Vector Calculus: Scalar and vector point functions, gradient, directional derivative, divergence, curl and their interpretations. Line integral, surface integral and volume integral, Applications to work done by the force, Green’s, Stoke’s and Gauss divergence theorems.

Contact us for registration Online Live B.Tech Mathematics-I Tutorial Classes