Test 3  10.3, 10.4, 11.1-11.3, 12.1-12.3

Thursday, April 19
(Also review eGrade assignments and quizzes)

1.     Work with vectors that have more than two components, i.e. population vectors.
Section 10.3, #1-11 and Section 10.3 Examples 1, 2, 3, 4, and 5, Chapter 10 Review 9-16, 20, 21, 32

2.     Find the horizontal and vertical components of a displacement vector
Section 10.3 #12 and Section 10.3 Examples 6 and 7and Chapter 10 Review 26

3.     Find the magnitude and direction of a vector.
Section 10.3 #16, 17 and Chapter 10 Review 25

4.     Use the resultant sum of vectors to solve applied problems.
Section 10.3 #13, 14, 16, 17 and Chapter 10 Review 25

5.     Find the dot product of two vectors.
Section 10.4 #1-10, 19, 21 and Chapter 10 Review 1-19

6.     Find the angle between two vectors. Determine if two vectors are perpendicular or parallel.
Section 10.4 #13, 14, 15, 18, 20 and Section 10.4 Example 3

7.     Interpret the dot product of two vectors in real-life terms.

Section 10.4 #22 and Section 10.4 Examples 1 and 2, Chapter 10 Review #20, 21, 32

8.     Add vectors geometrically.

Chapter 10 Review 34-37

 

9.     Determine whether a sequence (or series) is arithmetic, geometric, or neither

Section 11.1 #1-21 and Chapter 11 Review #4-5

 

10.  Find the nth term of an arithmetic or geometric sequence. Relate these to linear and exponential functions, resp..

Section 11.1 #9-21and Section 11.2 #10-13, 29, 30 Chapter 11 Review #1, 2, 8-10,

 

11.  Find the sum of an arithmetic series without appealing to any formula.

Section 11.2 #14-19, 29, 30, 31 and Chapter 11 Review #1-3, 8-10.

 

12.  Understand and use sigma notation.
Section 11.2 #6-13, 22-24 and Section 11.3 #8-13 and Chapter 11 Review #1, 2

 

13.  Find the sum of a finite geometric series.

Section 11.3 #5-9, 14-20 and Chapter 11 Review #12,13

14.  Find the sum of an infinite geometric series.
Section 11.4 #1-9, 16-18 and Chapter 11 Review #4-7

 

15.  Eliminate the parameter to write parametric equations in implicit or explicit form.
Section 12.1 #1-34 and Section 12.2 #14-17, 19 and Chapter 12 Review #

 

16.  Write the equation of a circle or radius r and center (h,k) with parametric equations or implicit equations.
Section 12.2 #14, 16 and Chapter 12 Review #9-12, 18-19

 

17.  Given the equation of a circle (with parametric equations or implicit equations), find its center and radius.

Section 12.2 #3, 13a, 14, 16 and Chapter 12 Review # 1

 

18.  Given the equation of an ellipse (with parametric equations or implicit equations), find its center, the length of the major and minor axes, vertices, and sketch its graph.
Section 12.3 #5-8, 17a, and Chapter 12 Review # 4, 5

 

19.  Given the sketch of an ellipse, write a set of parametric equations or its implicit equation in standard form.

Section 12.3 #1, 2, 4, 18, 19, and Chapter 12 Review #13-15