B.Tech Math Coaching in Delhi

Our B.Tech Math Coaching in Delhi 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.

👉 Stay tuned for study tips, important formulas, past year question analysis, and topic-wise tutorials to boost your performance in university exams and competitive tests.

Btech Math Coaching in Delhi

Engineering Mathematics – I (First Semester)

Btech Math Coaching in Delhi

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)

✅ This syllabus prepares students for advanced engineering math courses in second semester and beyond (like Fourier series, Laplace transforms, probability & statistics, complex analysis, numerical methods, etc.).