MATHEMATICS III - 30111 Learning Outcomes: After completing the course, students should be able to: 1. Apply the fundamental concepts of Ordinary Differential Equations and Partial Differential Equations and the basic numerical methods for their resolution. 2. Solve the problems choosing the most suitable method. 3. Understand the difficulty of solving problems analytically and the need to use numerical approximations for their resolution. 4. Use computational tools to solve problems and applications of Ordinary Differential Equations and Partial Differential Equations. 5. Formulate and solve differential equation problems in the field of Industrial Organisation Engineering. 6. Use an adequate scientific language to formulate the basic concepts of the course. Course Outline: 1. 2. 3. 4. 5. Ordinary differential equations of first order. Applications and numerical methods. Ordinary differential equations of higher order. Applications and numerical methods. Systems of ordinary differential equations and their numerical methods. Laplace transform. Partial differential equations and their applications. Teaching activities: 1. Theory lectures which seek the transfer of knowledge while encouraging student participation. 2. Practice problems workshop to facilitate problem-solving activities and promote interaction between the students and teacher. 3. Computer-based practice aimed at applying and developing appropriate mathematical software skills. 4. Small group tutorials as well as one-to-one consultations. Assessment: 10% practical work and 90% theoretical and practical exams. Contact: Dr Etelvina Javierre (e-mail: etelvina.javierre at unizar.es)