3 1 7527 Please contact admin.teaching.msi@anu.edu.au for consent to enrol in this course. true MATH6202 <span><p>The course will discuss the three main classes of equations: elliptic, parabolic and hyperbolic. Topics will include:</p><ul><li>Fundamental solutions</li><li>Maximum principles</li><li>Regularity (smoothness) of solutions</li><li>Variational problems</li><li>Holder and Sobolev spaces</li></ul><p>Note: Graduate students attend joint classes with later year undergraduate students but are assessed separately.</p></span> Bachelor degree; with third year Mathematics.&nbsp; 1 false 12649 <p>4-5 written assignments involving problem-solving, proofs of theorems and extension of theory (20-25% each; LO 1, 2, 3, 4)</p> 1 1 <p>On satisfying the requirements of this course, students will have the knowledge and skills to:</p><p>1. Explain the concepts and language of partial differential equations and their role in modern mathematics and applied contexts<br />2. Analyse and solve complex problems using partial differential equations as functional and analytical tools<br />3. Apply problem-solving with partial differential equations to diverse situations in physics, engineering and other mathematical contexts<br />4. Apply partial differential equations to specific research problems in mathematics or other fields</p> 2 Theory of Partial Differential Equations 6 6 6 Third year Mathematics is required.&nbsp; Theory of PD Equations Band 2 NP Mathematics u8606170 2 2010