Arika's Notes

Quiz 3 FIRST FOLLOW PREDICT EPS

Sat, 30 May 2026 01:21:17 GMT

\begin{align*} \text{Program} &\rightarrow \text{Stmts } \$ \\ \text{Stmts} &\rightarrow \text{Stmts } \text{Stmts\_Tail} \\ \text{Stmt} &\rightarrow \text{until } ( \text{Stmts } ; \text{ id}) \mid \text{id} \\ \text{Stmts\_Tail} &\rightarrow , \text{ Stmt } \text{Stmts\_Tail} \mid ...

stats_Midterm_review

Sat, 30 May 2026 01:21:17 GMT

see here for canvas stuff see here for Calvins notes (this should be transcried w/ OCR later..) Left off on: stats_quiz 4 Tables and Probability & dpqr2 Some basic variable defitions (maths) In say X \sim N(\mu=2,\sigma=5) Expected and varience E(X) = expected value.

stats_calvin's_midterm

Sat, 30 May 2026 01:21:17 GMT

1.) MTBE P(A|B) = \frac{P(A \cap B)}{P(B)} = \frac{98}{201} = \sim 0.48756 2.) P(A) = \frac{\text{Sum of A}}{\text{Sum of all}} = \frac{120}{223} = \sim .5381 3.) Given: P(\text{positive} | \text{users}) = .95 P(\text{negative} | \text{non-users}) = .89 8.) P(Y \le 1.1) we know that f(y) = \begin{ca...

stats_linear_combo p2 Y=aX+b,L

Sat, 30 May 2026 01:21:17 GMT

Y=aX+b, L \begin{gather} Y = 3X + 4 \\ X \sim N(\mu = 2, \sigma = 5) \\ L = 2H_1 - 3H_2 + H_3 \\ H_i \overset{\text{iid}}{\sim} N(\mu = 2, \sigma^2 = 3) \end{gather} Finding E(Y) by plugging \mu in, V(Y) if iid by directly plugging \sigma^2 into the squared coefficients.

{exm2, cal3} Double Integrals over Rectangle

Sat, 30 May 2026 01:21:17 GMT

tutorial.math.lamar.edu/Classes/CalcIII/IteratedIntegrals.aspx Fubini’s Theorem If f(x,y) is continuous on (R = [a,b] \times [c,d] then, \iint_R f(x,y) \, dA = \int_a^b \int_c^d f(x,y) \, dy \, dx = \int_c^d (\int_a^b f(x,y) \, dx) \, dy These integrals are called iterated integrals Where [0,1] is t...

Section 15.1 Change of Variables

Sat, 30 May 2026 01:21:17 GMT

Change of Variables Eval some \int region bounded by some region \int \int _{D} x(y-1)dA, \qquad y=1-x^2,\quad y=x^2-3 Essentially with this we aren’t doing any transformations, just integrating as such.

exm3 review {cal3,exm3}

Sat, 30 May 2026 01:21:17 GMT

{cal3 exm3} review pkt.pdf Integration Transformations {cal 3 exm3} cylindrical and spherical coordinates Jacobian and Rotations! {cal exm3} 1 det 3x3 and 2x2 matrix Line Integration and Vector fields {cal3 exam3} Line integrals vector fields {cal,exm3} TO REVIEW Dimension of spaces Surface \int Gra...

{cal 3 exm3} cylindrical and spherical coordinates

Sat, 30 May 2026 01:21:17 GMT

Quiz! S(u,v)= Jacobian? \partial u<1,-1>\qquad \partial v<2,2> Take ad-bc=4 What is area of \sum u,v? \pi (what is area of unit circle basically) \int \int _{\sum}(1)(1)dS=\int \int _{\sum uv} (1)(4)dA=\int ^{2\pi}_{0}\int_{0}^1 (4r)dr d\theta Introduction to cylindrical...

midterm 1 linear notes

Sat, 30 May 2026 01:16:55 GMT

1.1 SoLE1 Generally we define a single SoLE like a_{1 } x_{1} + a_{2} x_{2} + \dots + a_{n} x_{n} = b n = unknowns, a, b are known (coefficients).

midterm linear 3

Sat, 30 May 2026 01:16:55 GMT

Linear Algebra - Spring 2026 3.3 Key takeaway is that these processes tell us things, but we already know how to do each step.