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Description

Spring 2016

Jay Abramson

MAT 211

These notes cover Multi-Variable Functions: z= f(x,y) (x,y)= input z= output

These notes cover Partial Derivatives: fx= ∂f/∂x and fy= ∂f/∂y as well as second derivatives.

These notes cover how to find the minimum, maximum, and the saddle point of a graph using partial derivatives.

These notes cover how to find the constrained optimization using the substitution method and the LaGrange Multipliers method.

These notes cover on how to find the extreme value theorem (max and min) when f is continuous and bounded.

These notes cover on how to find maximum or minimum of an equation subjected to bounded or unbounded regions.

These notes cover on solving systems using the addition method (basically notes on process of elimination). Finding x and y.

These notes cover how to solve systems with the Gaussian method.

These notes cover how to solve matrix equations. Includes: Adding and subtracting matrices, and transposing matrices.

These notes cover how to multiply matrices when they are compatible in size.

These notes cover on how to solve X=A^-1(B) and the inversion of a matrix.

These notes cover probability word problems such as, tossing a coin and rolling die. P(E)= # of success/ # of total.

These notes cover probability with counting techniques: bag of marbles, money, etc.

These notes cover the conditional probability--> P(A/B)=P(AdownUB)/P(B)

Bayes Theorem= probability of an event based on conditions related to events.

Notes cover probability distribution (a random variable, X, is a rule that assigns a number to each outcome in the sample space.

Covers Bernoulli Trials.

Mean, median, and mode. E(x)= expected value (weighted average).

These notes cover over probability tables and Histograms.

These notes cover types of PDFs and the 2 characters of PDFs.

Cover materials of expected value, variance, and standard deviation.

This study guide covers chapters 6.3 & 6.4, 7.1 to 7.3, 7.4, 7.5, 7.6, 8.1, 8.2, 8.3, 8.4, 8.5, P.1, P.2 and P.3