Karabakh University Courses
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[RIM 321] Multivariate Analysis
Instruction Language
Azerbaijani
Course Type
Elective - Block 2
Course Description
This advanced course generalizes the concepts of calculus to higher-dimensional Euclidean spaces and differentiable manifolds. The curriculum focuses on the topology of Rn, the inverse and implicit function theorems, and the rigorous treatment of multivariable differentiation. Students explore the theory of differential forms, integration on chains, and the generalized Stokes' Theorem, which unifies classical vector calculus. The course emphasizes the structural properties of mappings and the geometric interpretation of analytical results. By the end of the semester, students will be capable of performing complex analytical operations in n-dimensional spaces, providing the theoretical rigor necessary for advanced research in differential geometry, general relativity, and high-dimensional data optimization.
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