Explore quantum algorithms in this comprehensive lecture from the Quantum Wave in Computing Boot Camp. Delve into key techniques including Discrete and Quantum Fourier Transform, the Deutsch-Jozsa and Bernstein-Vazirani algorithms, and Jordan's quantum algorithm for gradients. Examine generalizations and applications, including a simpler algorithm for graph isomorphism and approaches to approximating the Jones polynomial. Investigate Hamiltonian simulation techniques, ground state preparation, and continuous-time quantum walks. Gain insights into the exponential speedup potential of quantum algorithms through this in-depth overview presented by András Gilyén from Caltech.