Course Identification

Introduction to Mathematical Methods for Modeling and Data Analysis
20252101

Lecturers and Teaching Assistants

Dr. Eli Galanti
Maayan Ziv‏

Course Schedule and Location

2025
First Semester
Monday, 09:15 - 11:00, WSoS, Rm B

Tutorials
Wednesday, 11:15 - 12:00, WSoS, Rm A
04/11/2024
29/01/2025

Field of Study, Course Type and Credit Points

Chemical Sciences: Lecture; Elective; Core; 3.00 points
Life Sciences: Lecture; 3.00 points

Comments

A 2-day home assignment, Starting February 12, 9:00, until February 13, 17:00

Prerequisites

University level introductory courses in linear algebra and calculus

Restrictions

40

Language of Instruction

English

Registration by

30/12/2024

Attendance and participation

Required in at least 80% of the lectures

Grade Type

Numerical (out of 100)

Grade Breakdown (in %)

70%
30%

Evaluation Type

Final assignment

Scheduled date 1

13/02/2025
N/A
1700-
A 2-day home assignment, Starting February 12, 9:00, until February 13, 17:00

Estimated Weekly Independent Workload (in hours)

3

Syllabus

Mathematical models are present in all of the scientific disciplines , providing a quantitative framework for understanding and prediction of natural phenomena. The output from such models, as well as observations, often requires complex mathematical analysis. The course provides an introduction to mathematical modeling and data analysis through in-depth discussion of a series of real examples, with an emphasis on 'hands-on' exercises. 
Topics will include:
  • Ordinary differential equations and numerical solution
  • Linear equations and eigenvalue
  • Data analysis using EOF, PCA, and SVD
  • Mining of Big Data - AI machine learning
  • Advanced modeling and PDEs
  • Combining models and data - optimization

Learning Outcomes

Upon successful completion of this course students should be able to:

  1. Demonstrate an understanding of the  principles of mathematical modeling and data analysis
  2. Solve analytically and numerically a wide range of problem

Reading List

Strogarz, S.H. Nonlinear Dynamics and Chaos. Perseus books, 1994.

Website