Michael Holst  
https://ccom.ucsd.edu/~mholst/ 
Distinguished Professor of Mathematics and Physics UC San Diego 


Math 170C (Introduction to Numerical Analysis: Ordinary Differential Equations)
Course Topics: Introduction to Numerical Analysis: Ordinary Differential Equations Instructor: Prof. Michael Holst (5161 AP&M, mholst@ucsd.edu; Regular Office Hours: TBA) Term: Spring 2022 Lecture: 2:00p2:50p MWF (See Canvas for Room, Zoom Links, other info) TA: See the Canvas Page Discussion: See the Canvas Page Main Class webpage: http://ccom.ucsd.edu/~mholst/teaching/ucsd/170c_s22/index.html Canvas/Zoom:
CATALOG DESCRIPTION: 170C. INTRODUCTION TO NUMERICAL ANALYSIS: ORDINARY DIFFERENTIAL EQUATIONS (4) Numerical differentiation and integration. Ordinary differential equations and their numerical solution. Basic existence and stability theory. Difference equations. Boundary value problems. Three lectures, one recitation. Prerequisites: Math 170B and Math 20D. Students who have not completed the listed prerequisites may enroll with consent of instructor. COURSE INFORMATION: Many of the advances of modern science have been made possible only through the sophisticated use of computer modeling. The mathematical foundation of the computer modeling techniques now used in all areas of mathematics, engineering, and science is known as numerical analysis. The Math 170ABC series at UCSD provides an introduction to the exciting field of numerical analysis, which is also sometimes referred to as computational mathematics or scientific computing. Professor Holst has a passion for this particular area of mathematics, and much of his published research is in this area. Math 170C deals primarily with the development and analysis of algorithms (or, numerical methods) for solving linear and nonlinear ordinary differential equations, as well as systems of such equations. In 170C, we bring together all of the core ideas, theory, and algorithms we learned in 170A and 170B to develop techniques for solving the mathematical problems at the heart of applied mathematics, science, engineering, as well as other areas involving mathematical modeling: differential equations. OTHER COURSE INFORMATION: Please see the Canvas page for other information about this course. 