APPM 2360 Midterm: appm2360fall2017exam2
Document Summary
On the front of your bluebook write: (1) your name, (2) your instructor"s name, (3) your lecture section number and (4) a grading table. Text books, class notes, cell phones and calculators are not permitted. A one page letter sized crib sheet is allowed. Problem 1: (30 points) true/false (answer true if it is always true, otherwise answer false. 0 0 x1 x2 x3 (d) (6 points) if 4 vectors in r4 are linearly independent, they span r4. (e) (6 points) let a, p , and m all be invertible matrices. 1(cid:21) is a vector (ap p m ) 1 = a 1p 1p 1m 1. Problem 2: (30 points) short answer for the following problems. No justi cation is needed. (a) (10 points) consider the system of di erential equations: x = x(1 x) xy, y = 2y(1 y/2) 2xy. All nullclines (both x-nullclines and y-nullclines) are plotted in the image below.
