Difference between revisions of "Suggested problems"

From UBCMATH WIKI
Jump to: navigation, search
(Created page with "Problems listed here are unequivocally worth doing for practice. Those omitted from this list are omitted for a number of possible reasons - some are simple warm-ups that are ...")
 
Line 23: Line 23:
 
|-
 
|-
 
|2.3
 
|2.3
|
+
|1-4
|
+
|Salt water inflow/outflow modeling problems
 
|-
 
|-
 
|2.3
 
|2.3
|
+
|17
|
+
|Stephan-Boltzmann heat loss.
 
|-
 
|-
 
|2.3
 
|2.3
|
+
|18
|
+
|First order forcing (temperature).
 
|-
 
|-
 
|3.1
 
|3.1
|
+
|1-8
 
|
 
|
 
|-
 
|-
 
|3.1
 
|3.1
|
+
|9-16
 
|
 
|
 
|-
 
|-
 
|3.1
 
|3.1
|
+
|17-18
 
|
 
|
 
|-
 
|-
 
|3.1
 
|3.1
|
+
|21-24
 
|
 
|
 
|-
 
|-
 
|3.1
 
|3.1
|
+
|28
 
|
 
|
 
|-
 
|-
 
|3.2
 
|3.2
|
+
|1-6
 
|
 
|
 
|-
 
|-
 
|3.2
 
|3.2
|
+
|24-27
 
|
 
|
 
|-
 
|-
 
|3.2
 
|3.2
|
+
|28
 
|
 
|
 
|-
 
|-
 
|3.3
 
|3.3
|
+
|7-22
 
|
 
|
 
|-
 
|-
 
|3.3
 
|3.3
|
+
|27
 
|
 
|
 
|-
 
|-
 
|3.4
 
|3.4
|
+
|1-14
 
|
 
|
 
|-
 
|-
 
|3.4
 
|3.4
|
+
|23-30
|
+
|Reduction of order - omit this year (2014)
 
|-
 
|-
 
|3.5
 
|3.5
|
+
|1-20
 
|
 
|
 
|-
 
|-
 
|3.5
 
|3.5
|
+
|30
 
|
 
|
 
|-
 
|-
 
|3.7
 
|3.7
|
+
|1-4, 6, 7, 16, 20, 24, 26, 27
 
|
 
|
 
|-
 
|-
 
|}
 
|}

Revision as of 08:48, 2 February 2014

Problems listed here are unequivocally worth doing for practice. Those omitted from this list are omitted for a number of possible reasons - some are simple warm-ups that are unlikely to appear on a midterm or exam, some include at least one part that requires a computer or graphing calculator, some are of a slightly more theoretical nature than I don't expect you to be able to do on a midterm of exam and others may have just escaped my search by accident.

Section Problem numbers Description
2.1 13-20 Problems which can be solved using an integrating factor. Try using Method of Undetermined Coefficients as well for practice.
2.1 30 Choosing ICs to ensure boundedness of solutions
2.1 34-37 Construct equations whose solutions have the prescribed asymptotic behaviour.
2.2 1-8 Separable equations
2.3 1-4 Salt water inflow/outflow modeling problems
2.3 17 Stephan-Boltzmann heat loss.
2.3 18 First order forcing (temperature).
3.1 1-8
3.1 9-16
3.1 17-18
3.1 21-24
3.1 28
3.2 1-6
3.2 24-27
3.2 28
3.3 7-22
3.3 27
3.4 1-14
3.4 23-30 Reduction of order - omit this year (2014)
3.5 1-20
3.5 30
3.7 1-4, 6, 7, 16, 20, 24, 26, 27