Global Maxi Mum and Global Minimum & Parameterization of a Curve - Geometry Assignment Help

Assignment Task

Task

• • Curve, path, parameterization of a curve, unit tangent vector, velocity vector, smooth curve, arc length, parameterization by arc length. 
• • Directional derivative. Gradient of a function. 
• • Level set of a function, singular and non-singular points of a level set, the tangent space of a level set at a non-singular point. 
• • Constrained and unconstrained optimization problems. Global maxi mum and global minimum. 
• • Bounded set. Convex set. Convex function. Strictly convex function. 
• • Path of steepest descent. Gradient descent algorithm. 
• • Critical point of a function (use the definition in Optimization part 2, not the textbook). 
• • Smooth (hyper)surfaces.
   

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