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| -rw-r--r-- | houdre/02_foundations | 72 | ||||
| -rw-r--r-- | markley/03_first_week_video | 30 | ||||
| -rw-r--r-- | markley/04_journal | 12 | ||||
| -rw-r--r-- | rich/03_science | 27 |
4 files changed, 141 insertions, 0 deletions
diff --git a/houdre/02_foundations b/houdre/02_foundations new file mode 100644 index 0000000..b965ecd --- /dev/null +++ b/houdre/02_foundations @@ -0,0 +1,72 @@ +Convention: +N = {0,1,2,...} +N* = {1,2,3,...} + +HW problems 1.11 #1-4 (in book) + +The unit square, with #Omega = \infty, has probability zero for lines. + +Developing a single framework for discrete {heads, tails} and picking a +point from [0,1]. + +Ex: + +Probability of getting a prime number choosing at random from N* + +Def: Let Omega be a sample space. An event space E is a non-empty +collection of subsets of Omega such that: + if A \in E, A^c \in E + Lemma Def: iff B \in S and B \not\in A, B \in A^c + if A_1,A_2,...,A_n \in E, then the union is in E. + +Def: An event is called *elementary* if its cardinality is 1 + +In general, the power set of Omega (2^Omega = \bb P(Omega)) is the +collection of all subsets of omega. (sometimes called complete/total +event space) + +Trivial event space: {empty, Omega} + +Take Omega = {1,..,7}. +E_1 = 2^Omega. #E_1 = 2^#Omega = 2^7. +E_2 = { {3}, {1,2,4,5,6,7}, empty, Omega}. This is also a valid event sp + +In general, regardless of cardinality of Omega, we will take E = 2^Omega +because all event spaces are subsets of the power set. + +N, N*, Q, Z, ... +are infinite countable sets. There is a bijection between these sets and +N. + +R is an infinite uncountable set. Rigorously defining Omega = R is very +difficult. But this is outside the scope of this course. + +Def: A probability measure is a set function, usually denoted by P, from +E to [0,+\infty] = R^+ + +(i) P(Omega) = 1. +(ii) P(Union of A_1...A_n) = \sum_i=1^n P(A_i) if A_1..A_n is pairwise +disjoint. + +Def: Pairwise disjoint if A_i intersect A_j = empty for all i != j. + +Function: + P: E -> [0,+\infty) + For all A in E, there exists a unique P(A) + +Upside down A = for all +Backwards E = there exists +Backwards E ! = there exists a unique + +Review set operations, i.e. union, intersection, complementation, +commutativity, distributivity, associativity + +For Omega finite or infinite, + +\sum_\Omega P({\omega_i}) = P(\Omega) = 1. +P({\omega_i}) \geq 0. + +Uniform probabliity: + P({\omega_i}) = p_i = 1/#\Omega + Each element is equally likely. + If A \subset \Omega, P(A) = #A/#Omega diff --git a/markley/03_first_week_video b/markley/03_first_week_video new file mode 100644 index 0000000..229696b --- /dev/null +++ b/markley/03_first_week_video @@ -0,0 +1,30 @@ +Styles: + Written + Oral + Visual + Electronic + Nonverbal + +Topic: +- Who am I + - Name, Major + - Hometown + - Why am I at tech + - ENGL 1102 w/ Dr Markley (focus?) +- Weakest style of multimodal communication + - Structurally and overall quality + - *Challenge + - past experience if possbile + - overcoming + - a specific assignment + +My Presentation +- Use music +- Upload to Vimeo +- Prefer dynamic shots +- Use mild video editing +- Visuals +- Background, appearance + + Script +---------- diff --git a/markley/04_journal b/markley/04_journal new file mode 100644 index 0000000..9945e89 --- /dev/null +++ b/markley/04_journal @@ -0,0 +1,12 @@ +Assessment: +- Sustained engagement + - Writing prompts provided + +- Relevance and quality + - Rhetorical strength and images + +- Relation to major class topics + +- Knowledge of readings + +- Effort (design) diff --git a/rich/03_science b/rich/03_science new file mode 100644 index 0000000..0ad2b20 --- /dev/null +++ b/rich/03_science @@ -0,0 +1,27 @@ +Is Poli. Sci. a science? +- John Lewis Gaddis: + - Imagined prediction vs. replicating/reproducing results is + intuitive difference + - Five standards: + - Parsimony: smallest laws that predict human behavior + - Poli. Sci. has some laws, but thety aren't strictj + - Variables + - Nominal: positive or negative (did or didn't happen) + - Ordinal, ordered preferences + - Nonlinear, subjective + - Continuous (very wide variation, more scientific) + - political science has fewer, making it less replicate. + - Accounting for change + - Cold War wasn't accurately predicted + - Predictions by poli. sci. are typically bad + - Commensurability + - Common results and definitions + - Political Science doesn't have singular, consistent + definitions (see: democracy, war) + - Objectivtiy + - Poli. Sci. is often subjective and requires bias for + proper analysis + - But so are hard sciences like medicine. + - Concludes that poli. sci is a science because it + - tries to obtain these goals (it is very young so less adv) + - predicts or prepares |