Instructor: Jan Glaubitz (Jan.Glaubitz@Dartmouth.edu)
'Lecture': Tuesday 14.50 - 16.40 (will be recorded)
HW Discussion: Thursday 14.50 - 16.40 (attendance required, will not be recorded)
Monday 8.30 - 9.30,
Friday 17.10 - 18.00 (x-hour);
Please let me know in advance if you will attend one of the office hours.
Prerequisites: Math 22 and Math 23
Course Description: This course provides an introduction into the field of Applied Mathematics. In particular, the emphasis is upon mathematical tools to describe and analyze real world phenomena which play a central role, for instance, in the applied and natural sciences. This includes ordinary as well as partial differential equations. While no prior knowledge on partial differential equations is expected, this course requires you (the student) to already be familiar with basic concepts from ordinary differential equations and linear algebra.
Last Year's Script: Script - Math 46 (Spring 2020)
Structure for Remote Learning: Due to the COVID-19 pandemic, this course will be held exclusively via remote access in the Spring term of 2021. All course materials and assignments will be managed through Canvas . You are supposed to work on and submit the homework (HW) assignments in teams of 3 or 4 persons. Furthermore, every week will be structured as follows:
|Monday||until 12.00||A new part of the script will be uploaded together with the corresponding HW assignment|
|Tuesday||until 14.00||Submit HW assignment from the previous week||14.50 - 16.40||'Lecture' (will be recorded and posted on Canvas afterwards)|
|Thursday||between 14.50 and 16.40||Discussion of the HW assignment submitted on (or before) Tuesday|
This course will be based on the teaching approach of a "flipped classroom".
I believe that mathematics, especially applied mathematics, is best learned and truely understood by personal interaction and engagement with the material.
You (the students) will receive a weekly script, which you can either work through by yourself or together with your peers. You are expected, however, to be familiar with the material before the "Lecture" on Tuesday. In this "Lecture", I will only briefly review some of the most important concepts and focus on applying these to specific examples and problems. Already during this "Lecture", I encourage you to become active yourselves, developing approaches and solutions together with you. Building upon the script and the corresponding "Lecture", you then have approximately one week to collaborate on a homework assignment in small groups of three or four persons. You will discuss your approaches and solutions among each other before submitting them. Besides providing you written feedback, I will meet with every single group once a week to also give you direct oral feedback on your performance. Furthermore, these meetings are intended for you to present and discuss your solutions to/with me in a confidential environment.
The above-described concept encourages substantial contribution from you while also allowing you to further develop important soft skills. These include, among others, teamwork and the ability to communicate and present your efforts to others (your peers and me). Moreover, the current remote learning environment possess a challenge for many of us. I have heard (not just) from students that remote learning can feel isolating at times. My hope is that the team-based approach of this course encourages you to come into contact with each other. Let's try to make the best out of this situation!
- J. David Logan, Applied Mathematics. John Wiley & Sons, 3rd edition (ISBN: 978-0471746621)