Course
Math for Aeronautical Engineering
This course teaches the essential mathematical concepts that are fundamental to understand and develop the concepts that enable flight and to analyze various systems and subsystems.
Course structure & Assessments
4 credit course, weekly online assignments, 2 in-person invigilated quizzes, 1 in-person invigilated end term exam. For details, visit Academics.
| Week 1 | 3D coordinate geometry; Functions of several variables: partial derivatives; |
| Week 2 | Increment Theorem;Chain Rules; Directional Derivative; Curl and Divergence of a vector field |
| Week 3 | Multiple integrals; Vector Integrals;Line Integral; Line Integral of Vector Fields; Conservative Fields; |
| Week 4 | Green’s Theorem;Surface Area of solids of Revolution; Surface area; Integrating over a surface; Surface Integral of a Vector Field ; Stokes’ Theorem; Gauss’ Divergence Theorem |
| Week 5 | Complex functions; Cauchy-Reimann equations; analytic functions; |
| Week 6 | Conformal mapping; complex integral; |
| Week 7 | Laurent’s series; residue theorem; principal value theorem |
| Week 8 & 9 | Integral transforms |
| Week 10 | System of ODEs; series solutions for ODEs |
| Week 11 & 12 | Partial differential equations |