This is a first introduction to topology and calculus on manifolds. The tools introduced in this course are the natural framework for the generalization of the ideas that you learnt in Calculus I, II, and III to infinite-dimensional and non-Euclidean spaces. These methods open the door to other fields in mathematics like algebraic topology, functional analysis, differential/Riemannian/symplectic/Poisson geometry, or Lie theory, to name a few. They also have strong ties with important applications in the physical sciences and engineering like dynamical systems, mechanics, symmetry analysis, or control theory. The aim of this course is to enable you to formulate and solve mathematical problems using the ideas and the formalism coming from topology and global analysis.
| Academic Units | 4 |
| Exam Schedule | Thu May 08 2025 00:00:00 GMT+0000 (Coordinated Universal Time) 09:00-11:00 |
| Grade Type | Letter Graded |
| Department Maintaining | MATH(SPS) |
| Prerequisites | |
| Not Available to All Programme | (Admyr 2011-2020) |
| Index | Type | Group | Day | Time | Venue | Remark |
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0930
1030
1130
1230
1330
1430
1530
1630
1730
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