- Course syllabus
- Canvas page for homework and test information, and homework submission.
- There is NO course textbook (scanned lecture notes are available below)
- References
- J. Feldman, A. Rechnitzer, E. Yeager,
*CLP1 Differential Calculus*(2019). Sections 3.5, 3.6 (for review). - J. Feldman, A. Rechnitzer, E. Yeager,
*CLP2 Integral Calculus*(2019). Section 2.4 (for review). - J. Lebl,
*Notes on Diffy Qs*(2019). Parts of Chapter 1. - S. Strogatz,
*Nonlinear Dynamics and Chaos*(2016). Parts of Chapters 2, 3, 10. - S. Slingerland and L. Kump,
*Mathematical Modeling of Earth's Dynamical Systems: A Primer*(2001). Part of Chapter 3. - L. Edelstein-Keshet,
*Mathematical Models in Biology*(2005). Part of Chapter 7 - M. Laurent and N. Kellershohn, Multistability: a major means of differentiation and evolution in biological systems,
*Trends in Biochemical Sciences*24 (1999) 418-422. - R. May and G. Oster, Bifurcations and dynamic complexity in simple ecological models,
*American Naturalist*110 (1976) 573-599. - N. Britton,
*Essential Mathematical Biology*(2003). Parts of Chapter 6 and 4 - M. Nowak,
*Evolutionary Dynamics*(2006). Part of Chapter 6

- J. Feldman, A. Rechnitzer, E. Yeager,

Office: Mathematics building, room 112

Office Hours: M W F 1:00 - 2:00 p.m. or email for appointment

Email: nagata(at)math(dot)ubc(dot)ca

- In class, 80 minutes: Thu Oct 24
- One 8.5 x 11 inch sheet of notes (hand-written only, on both sides) is allowed.
- No additional notes, or books, etc. allowed.
- No calculators, cell phones, etc. allowed.
- See the course Canvas page (link above) for more details.

- Bring UBCcard (or government photo I.D., if UBCcard is unavailable), it must be checked during the exam.
- 2.5 hours (150 minutes).
- One 8.5 x 11 inch sheet of notes (hand-written only, on both sides) is allowed.
- No additional notes, or books, etc. allowed.
- No calculators, cell phones, etc. allowed.
- See the course Canvas page (link above) for more details.

- optimize (using first-year calculus) a quantity that appears in a mathematical model
- plot by hand (using first-year calculus) the graph of a quantity that appears in a mathematical model
- rewrite a given mathematical model in terms of dimensionless variables
- interpret results of analysis of a mathematical model in terms of the intended application
- critically assess the applicability and limitations of a given mathematical model, suggest ways the model predictions could be tested or the model itself could be improved
- find the explicit solution of an initial value problem for a separable linear or nonlinear first-order ordinary differential equation
- for a one- or two-dimensional continuous-time dynamical system: find equilibria, plot the vector field, determine linearized stability, sketch phase portraits, locate local bifurcations
- for a one-dimensional discrete-time dynamical system: find fixed points, determine linearized stability, determine nonlinear dynamics
- solve mathematical problems involving basic probability concepts
- analyze a mathematical model involving basic probability

- 20% - Homework
- 30% - Midterm Test
- 50% - Final Examination