Class Posts:

Preparing for Your Final Exam!!

Here are the tests and quizzes you should study for the Final Exam.  About 20% of the test will be drawn directly from the Fall Midterm; the remainder will be drawn from the tests and major quizzes taken this semester.

Review: Distributions and Probability

Classwork/Homework #4H09: Additional Practice – Normal Distribution

The Normal Distribution

Class Notes – The Normal Distribution

Homework #4H08: The Normal Distribution, all exercises.

Conditional Probability

Class Notes – Conditional Probability

Homework #4H07: Conditional Probability, all problems.

Binomial Probability

Class Notes – Binomial Probability

Homework #4H06: Binomial Probability, #1-7.

Permutations & Combinations

Class Notes – Permutations and Combinations

Homework #4H05: p. 890, #7-9, 15-17, 24-25, 28-29, 32-33, 41-46, 51-56, 60-66.

Sets and Counting

Class Notes – Sets and Counting

Homework #4H04: p. 881, #6-36 even, 39-41 all.

Exponential Form of a Complex Number: Euler’s Formula

Class Notes – Exponential Form of a Complex Number; Complex Logarithms

Homework #4H03: Board Problems.

Complex Numbers in Polar Form, continued

We continued discussing how to perform operations on complex numbers using their polar form.  We applied De Moivre’s (pronunciation here!) theorem to find complex powers and roots of complex numbers.

Class Notes – Complex Numbers in Polar Form

Homework #4H02: p. 607, #53, 57, 58, 12, 14, 26, 30, 34, 42, 48.

The Complex Plane; Complex Numbers in Polar Form

We discussed how to plot complex numbers in the complex plane, how to write a complex number in polar form, and how to apply De Moivre’s Theorem to calculate arbitrary powers of a complex number.

Class Notes – Polar Form of a Complex Number

Homework #4H01: p. 607, #11-27 odd, 33-37 odd, 41, 42, 51, 52.