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AI Summary: Engineering Mathematics 1 focuses on the fundamental principles of differential and integral calculus, multi-variable calculus, and vector analysis. It forms the mathematical foundation for advanced engineering concepts and physical modeling.
Limits, continuity, differentiation, curve sketching, Rolle's theorem, and mean value theorems.
Limits, continuity, partial derivatives, Euler's theorem, Taylor's series, maxima & minima, beta-gamma functions.
Derivatives of vector functions, gradient, directional derivative, divergence, curl, line and double integrals.
Surface integrals, volume integrals, Green's theorem, Gauss divergence theorem, Stokes' theorem.
Fourier series, half-range series, harmonic analysis, Fourier transforms, and Z-transforms.