In the quiet discipline of mathematics and the radiant pulse of physics lies a shared language—one woven from vectors, fields, and forms. This six-day immersive workshop is an invitation to journey through that language, beginning with the familiar contours of space and arcing toward the abstract elegance of geometry and electromagnetism.
Each day unfolds like a chapter in a story, where equations are not just tools, but characters—shaping space, encoding symmetries, and whispering the laws that govern the universe.
This six-day workshop offers an in-depth journey through vector calculus and electromagnetism, blending mathematical rigor with geometric intuition. Beginning with foundational topics like vector algebra, differentiation, and coordinate systems, it gradually advances into partial differentiation and the geometry of space curves using the TNB frame. Curvilinear and spherical coordinates are introduced to describe space more naturally, leading to an understanding of work, circulation, and the curl of a field. On Day 2, the focus shifts to global field behavior, with the flux, divergence, and curl interpreted through the great integral theorems of vector calculus. Vector integration is explored in depth, culminating in the Dirac delta function, which models point sources in continuous fields. Day 3 centers on classical electromagnetism, beginning with Helmholtz’s theorem and continuing through electrostatics, magnetostatics, and field behavior in spherical symmetry. The day concludes with Maxwell’s equations in their static form and a glimpse into electromagnetic waves and the necessity of Special Relativity. On Day 4, the workshop delves into the geometry behind physics, introducing tensors, covectors, Lorentz transformations, and covariant derivatives. The concept of a manifold emerges, leading to geodesics—paths shaped by space itself. Day 5 explores how space bends, introducing the metric tensor, Faraday tensor, curvature coupling, and extrinsic curvature, revealing the interaction between geometry and physical law. Finally, Day 6 ties everything together with the Gauss-Codazzi Theorem and the Levi-Civita tensor, leaving participants with both technical mastery and a profound understanding of the geometric foundation of physics.
This is more than a workshop. It is a narrative—a mathematical voyage from points and vectors to curvature and tensors, from coordinates to the geometry of spacetime itself.
For those who seek not just to compute, but to understand—the path begins here.
Registration ends in September 22, 2025. Bkash no for payment: 01521252671 (personal). Do not pay before you get confirmation from us. Write 'Tensor Calculus' and your name as reference.
BKash: 01521252671 (personal)
Registration link:
https://docs.google.com/forms/d/e/1FAIpQLSe0x7BD7amO2Ejp5Nnj3xV0-9-Qe_Ak_0PqV_4t14g4KE55dg/viewform?usp=header
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