Explore quantum algorithms in this comprehensive lecture from the ICTP-SAIFR School on Quantum Computation. Delve into advanced topics as Eduardo Duzzioni from UFSC, Brazil, guides you through quantum algorithms, progressing from fundamental concepts to their applications in solving differential equations. This 1 hour and 35 minute session, part 3 of a 4-part series, offers an in-depth look at the cutting-edge field of quantum computation. Gain valuable insights into the potential of quantum algorithms and their impact on various scientific disciplines. Suitable for those with a background in quantum physics and computer science, this lecture provides a rigorous exploration of quantum computational techniques and their practical implementations.