MATH 3820 (Introduction to Mathematical Modelling) was a course that existed prior to the currrent MATH 3610 (with the same time) and the former MATH 2140. Here are some slides I used when teaching this course. Some “chapters” followed FYM Wan’s book Mathematical Models and their Analysis, which, while it feels a little “retro”, remains a good general introduction to modelling problems.

• math3820_slides_01_matlab
• math3820_slides_02_population_growth
• math3820_slides_03_parameter_identification
• math3820_slides_04_residence_time
• math3820_slides_05_epidemics
• math3820_slides_06_chemostat
• math3820_slides_07_traffic_flow
• math3820_slides_08_genetics
• math3820_slides_09_shallow_water
• math3820_slides_10_summary

Note that the code used matlab. I have now switched to using R and might add code to do this at a later stage. Once I track it down, I will also post the matlab code.