Below are some outline materials related to courses I have taught/developed – typos/corrections welcome! You can also read about my general thoughts on teaching in my teaching philosophy statement.
Undergraduate projects & summer research
I have been fortunate to supervise a number of excellent undergraduate researchers at Brandeis and Princeton universities, and also benefited hugely from undertaking summer research as an undergrad myself. I’m always open to discussing potential summer research opportunities with interested students (and there are a number of potential sources of support available via the various UK funding agencies).
Below is a list of my past/current Durham Final Year undergraduate project proposals:
- Forced Nonlinear Systems (3H Final year project, 24/25)
- Numerical Bifurcation Analysis of Complex Systems (4H Final year project, 24/25)
Advanced Mathematical Biology (Math 4411, Durham)
Course syllabus (Term 1) – Adv_Math_Bio_23 – Course Github page
Differential Equations (Math 37A, Brandeis)
Course syllabus – math37A_syllabus
Probability (Math 36A, Brandeis)
Course syllabus – math 36A syllabus
Outline course notes – math 36A notes
Multivariable Calculus (Math 20A, Brandeis)
Course Syllabus – math 20A syllabus
Outline course notes – math 20A notes
Simulation for Finance (MS455/555, DCU)
Lecture Notes – MS455 notes 2017
Computer Labs
- script_day_2
- Computer Lab 1 – lab_1_ex_1 – lab_1_ex_2 – lab_1_ex_3
- Computer Lab 2 – LCG – lab_2_ex_1 – histc_example – ChiTest – lab_2_ex_2 – lab_2_ex_3 – lab_3_ex_3
- Computer Lab 3 – cauchy_rand – lab_3_ex_1 – ARM – lab_3_ex_3
- Computer Lab 4 – lab_4_ex_extra
- Computer Lab 5 – lab_5_ex_1
- Computer Lab 6 – lab_6_ex_1_partial – lab_6_ex_1 – lab_6_ex_1_milstein– Extra exercises on Ito’s Lemma
- Computer Lab 7 – lab_7_ex_1 – lab_7_conf_interval_test – lab_7_ex_2
Continuous Assessment
- Assessment outline
- Assignment 1 – assignment_1_brief_MS555 – assignment_1_brief_MS455 – assignment_1_solution
- Assignment 2 – assignment_2_brief – project_template (save as a .tex file)
- Assignment 3 – assignment_3_brief
Denis Patterson 