AG-PC: Complex Numbers

Sections 4.1-4.4 are being covered from 1/28 - 2/17
Your skills checklist for sections 4.1 to 4.4 are listed below. Please copy these to a sticky on your laptop or write them down in your notebooks. I ask that you refrain from printing them since you have access to them electronically at all times.

Skills List

On my own, without the assistance of the textbook, solutions guide, a classmate, or an instructor, I should be able to...

1.Write complex number expressions. (4.1)
2. Add, subtract and multiply complex numbers. (4.1)
3. Multiply by the complex conjugate to simplify the quotient (fraction) of two complex numbers into standard form. (4.1)
4. Find complex solutions of quadratic equations using the Quadratic Formula. (4.2)
5. Determine the number and find the real and complex solutions of polynomial equations. (4.2)
6. Find zeros given a polynomial function and vice versa. (4.2)
7. Plot complex numbers in the complex plane. (4.3)
8. Find the absolute values of a complex number. (4.3)
9. Convert a complex number to trigonometric form and vice versa. (4.3)
10. Multiply and divide complex numbers written in trigonometric form. (4.3)
11. Use DeMoivre's Theorem to find powers of complex numbers. (4.4)
12. Determine the rotational symmetry of a figure. (4.4)
13. Find nth roots of complex numbers. (4.4)

Useful Resources:
Complex Numbers Basics: Adding, Subtracting & Graphing
Complex Numbers: Multiplying and Dividing


Keep in mind that there are MANY resources both in class and online that you have access to - UTILIZE THEM!

Class/Homework Assignments:
(Green Book)  
Due Dates Postponed by 1 day - (ex. 4.2 HW due 2/4)

4.1 - pp. 337-338 #'s ending in 1, 3, and 4; through #74 (Due 2/1)

4.2 - pp. 344-345 #'s ending in 1, 3, and 6; through #66 (Due 2/3)

4.3 - pp. 352-353 #'s ending in 1, 5, and 8; through #65 (NEW! Due 2/9)

4.4 - pp. 358-359 #'s ending in 2, 5, and 7; through #57 (NEW! Due 2/16)

(COMAP)

Sections: 4.3, 4.5, 4.1, 4.2, 4.4

Other Important Dates:

2/12 - Ch. 4 Review

2/15 - NO SCHOOL President's Day

2/16 - Ch. 4 Review

2/17 - Ch. 4 Test (NEW! Review!!!)
2/18 - Ch. 4 Test (NEW!)

Chinese 1-2

1/25 Monday: Lesson 14 Homework Due & Oral Exam Day
1/26 Tuesday: Lesson 15
1/27 Wednesday: JTTW - Monkey King
1/28 Thursday: Lesson 15 Homework Due & Oral Exam Day
1/29 Friday: Lesson 16

2/1 Monday: Lesson 16 Homework Due & Oral Exam Day
2/2 Tuesday: Review Lessons 9-12
2/3 Wednesday: Exam 9-12
2/4 Thursday: Review Lessons 13-16
2/5 Friday: Exam 13-16

中文 三~四：第五課 － 看朋友

一月 ， 二十五日 ， 星期一：第四課 － 會話二  口試

一月 ， 二十六日 ， 星期二：第五課 － 會話一  生字  和  Character WB

一月 ， 二十七日 ， 星期三：第五課 － 會話一  功課天

一月 ， 二十八日 ， 星期四：第五課 － 會話一  功課天 和 聽寫（星期一交）

一月 ， 二十九日 ， 星期五：惡作劇之吻 － 第三紀

二月， 一日， 星期一：第五課 － 會話一 功課交， 會話二  生字  和  Character WB

二月， 二日， 星期二：第五課 － 會話二 功課天

二月， 三日， 星期三：第五課 － 會話一 功課天 和 聽寫（星期一交）

二月， 四日， 星期四：第五課 － 會話一和一  口試

二月， 五日， 星期五： 惡作劇之吻 － 第四紀

AG-PC: Vectors

Sections 3.3-3.4 are being covered from 1/18-1/27
Your skills checklist for sections 3.3 and 3.4 are listed below. Please copy these to a sticky on your laptop or write them down in your notebooks. I ask that you refrain from printing them since you have access to them electronically at all times.

Skills List

On my own, without the assistance of the textbook, solutions guide, a classmate, or an instructor, I should be able to...

1. Explain what a vector is and what it is made up of. (3.3)

2. Identify initial, terminal points of a vector. (3.3)

3. Calculate component form and magnitude of vectors. (3.3)

4. Show that two vectors are equal. (3.3)

5. Add, subtract, and multiply by a scalar. (3.3)

6. Calculate a unit vector. (3.3)

7. Write a linear combination in the form of standard unit vectors. (3.3)

8. Add, subtract, and multiply (by a scalar) vectors in component or unit vector form. (3.3)

9. Find the direction angle of a vector. (3.3)

10. Find the dot product of two vectors. (3.4)

11. Find solutions using properties of dot products. (3.4)

12. Find the angle between two vectors. (3.4)

13. Determine whether or not two vectors are orthogonal. (3.4)

Useful Resources:
Vector Basics
Vector Components, Adding, & Scalar Multiplication Part 1
Vector Components, Adding, & Scalar Multiplication Part 2
Calculating Vector Magnitude aka Length
Vector Dot Product

Keep in mind that there are MANY resources both in class and online that you have access to - UTILIZE THEM!

Class/Homework Assignments:
(Green Book)

3.3 - pp. 304-305 #'s ending in 1, 3, and 6; through #66

3.4 - pp. 315-316 #'s ending in 1, 2, and 7; through #52

(COMAP)
Sections: 4.3, 4.5, 4.1, 4.2