Optimization MethodsCovers optimization methods without constraints, including gradient and line search in the quadratic case.
Quasi-newton optimizationCovers gradient line search methods and optimization techniques with an emphasis on Wolfe conditions and positive definiteness.
Convergence of SeriesExplores the convergence of series, including geometric and harmonic series, absolute convergence, and comparison criteria.
Convergence of SeriesExplores point of accumulation, Bolzano-Weierstrass theorem, and series convergence, including harmonic series examples.
Analysis I Exam 2022Covers the correction of a mock exam for Analysis I, focusing on sequences, series, and limits.
Convergence of SeriesExplores the convergence criteria of numerical series, including absolute convergence and alternating series.
Numerical analysisCovers advanced numerical analysis topics including deep neural networks and optimization methods.