MTH213 Experimental Mathematics

Introduction

Goals of the Course

• Introduction to high level programming language (Python) and extensive math libraries (Sage): easy to learn and powerful example of a modern computer algebra system (CAS)

• Review of and extensive hands-on experience on fundamental topics studied in Year 1: Calculus, Linear Algebra, Discrete Maths, and beyond

• Develop both mathematical understanding/intuition and IT skills; specifically, an ability to test mathematical hypotheses on a CAS

• see tools  mathematicians are using "in the trenches" 

Instructors / Tutors

Instructors:Dmitrii Pasechnik, Bernhard Schmidt

Tutors:Keshav Rao Kini, Punarbasu Purkayastha,Radoslav Kirov, Wei Lei, Yair Zick

Lectures / Tutorials

• All lectures and tutorials are interactive lab sessions

• The sessions will be conducted using a web-based system known as Sage Notebook, a part of Sage computer algebra system.

• Lab servers will be available for out of class work, (almost) 7/24.

Exams

• Solutions to be submitted on paper (for both midterm and final exam)

• For midterm, but not for final exam, computers will be used

Grading policy

Attendance 9%

Homework 10%

Quizzes 15%

Midterm Exam 15%

Final Exam 51%

Attendance of all lectures and tutorials is compulsory. Maximum score for attendance is 9 points.1 point will be deducted for each session missed.

Schedule

Week Dates Agenda

1 11/8 - 12/8 Introduction to Python/Sage

2 18/8 – 19/8 Introduction to Python/Sage

3 25/8 – 26/8 Linear Algebra with Sage

4 1/9 – 2/9 Linear Algebra with Sage

5 8/9 – 9/9 Linear Algebra with Sage

6 15/9 – 16/9 Calculus with Sage

7 24/9 – 25/9 Calculus with Sage

8 6/10 – 7/10 Midterm Exam 6/10 during lecture

9 13/10 - 14/10 Calculus with Sage

10 20/10 - 21/10 Calculus with Sage

11 27/10 - 28/10 Group Theory with Sage

12 3/11 – 4/11 Discrete Math with Sage

13 10/11 – 11/11 Discrete Math, Review

Course Material

• All course material available in edventure (lecture presentation, Sage worksheets, solutions), and on the lab servers

• No textbook

Contact info and communication

1. Email– Forum (edventure)– Office hours– More options to be discussed 

(especially for the e-learning week)

More details can be found here