B.Tech Math Coaching in Gurugram
Our B.Tech Math Coaching in Gurugram is designed to help engineering students master core mathematics concepts with clarity and confidence. Whether you’re struggling with tough topics or aiming for top grades, this space provides step-by-step explanations, problem-solving techniques, exam strategies, and practical applications of engineering mathematics.
We cover all key subjects including Calculus, Linear Algebra, Differential Equations, Probability & Statistics, Numerical Methods, Complex Analysis, Discrete Mathematics, and Transform Theory. With simplified notes, solved examples, and practice questions, our blog makes even the most complex math topics easy to understand.
Perfect for B.Tech students, GATE aspirants, and engineering enthusiasts, this blog bridges the gap between classroom learning and real-world problem solving.
Btech Math Coaching in Gurugram
Engineering Mathematics – I (First Semester)
Btech Math Coaching in Gurugram
1. Differential Calculus
- Limits, continuity, and differentiability
- Successive differentiation, Leibniz’s theorem
- Mean Value Theorems (Rolle’s, Lagrange’s, Cauchy’s)
- Taylor’s and Maclaurin’s series expansions
- Maxima and minima of functions of one variable
- Partial derivatives, Euler’s theorem for homogeneous functions
- Jacobians and applications
2. Integral Calculus
- Definite integrals and properties
- Improper integrals (convergence, Beta and Gamma functions)
- Reduction formulas
- Applications of integration (areas, volumes, surface area of revolution, etc.)
3. Differential Equations
- First-order differential equations (linear, exact, Bernoulli, reducible types)
- Higher-order linear differential equations with constant coefficients
- Applications to engineering problems (e.g., simple electrical circuits, mechanical vibrations)
4. Matrices & Linear Algebra
- Types of matrices, rank of a matrix
- Inverse of a matrix, elementary transformations
- Solution of linear equations (Gauss elimination, Cramer’s rule)
- Eigenvalues and eigenvectors, Cayley–Hamilton theorem
- Diagonalization of matrices
5. Vector Calculus (Introductory)
- Gradient, divergence, curl (btech math coaching in delhi)
- Line, surface, and volume integrals (Green’s theorem, Gauss divergence theorem, Stokes’ theorem – statements and simple problems)
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