49B Assignments
Assignments will be posted here as the quarter progresses.
We are starting with Trigonometric Identities in Chapter 5
We will return to cover the sections on graphs of Trigonometric Functions in Chapter 4.
Section 5.1 READ the entire section; then do problems
5, 7, 11, 13
27 through 67 every other odd
91 - 94
Section 5.2 READ the entire section; then do problems
1-37 odd, 47, 49 and also 57, 59, 60
Section 5.3 We will return to this section later.
Sections 5.4 & 5.5
See the handout distributed in class for the important topics needed from these sections and for the homework problems to do for the material required from these sections.
Quiz #1 on Monday 4/16 will be based on homework assigned for 5.1, 5.2, 5.4, 5.5
You should memorize and know the quotient, reciprocal, Pythagorean, and odd/even (negative angle identities); if you need the double angle, half angle, sum of angle or power reducing identities I will give them to you. I highly recommend memorizing the double angle identities for sin and cos because they are very useful and used frequently .
Section 4.5 Graphing Sin and CosREAD The entire section; then do the following problems using the instructions given below:
Graph BY HAND (NOT using calculator): 35, 37, 39, 41, 49, 53, 55 - 59
Find the equations for the given graphs: 63 - 70
Applications of Trig Fucntions (Word Problems)
Section 4.5 73, 75a,d,e, 77, 79, 80
Harmonic Motion: Section 4.8 51, 53, 55, 57, 61
Damped Harmonic Motion: Section 4.6: 80
Section 4.6 Graphs of Other Trig Functions
1 - 6 Matching graphs and Equations
Graph by hand: 9, 19, 31, 23, 11, 13, 17
Hint: for sec or csc, start with the corresponding reciprical cos or sin function and use it as a guide to draw the graph of the reciprocal by determining relative minimum and maximum points and asymptotes of the function you need to graph.
66,67 graph using your calculator and adjust your window if necessary to get a good view of the graph.
Section 4.7 Inverse Trig Functions
1 - 15 odd, 23, 25, 27, 37, 39, 41, 49, 53, 59, 61, 63, 91, 97
Quiz #2 will be on Wednesday April 25 covering the homework for sections 4.5, 4.6, 4.7 and the harmonic motion homework problems in section 4.8.
Solving Trigonometric Equations: Section 5.3 & a a breif revisit to section 5.5
Read all of Section 5.3
Section 5.3 HW problems: 7 thru 19 odd, 29, 31, 35, 37, 59, 61, 75 part a
Read example 1 on page 407 in Section 5.5
Section 5.5 HW problems: 9, 11, 13 (if you need more practice problems, do 10, 12, 14)
Section 10.7 Polar Coordinates
Converting Points between polar and rectangular: 1, 5, 9, 10, 11, 13, 14, 17, 19, 20, 23, 24
Converting Equations between polar and rectangular: 33-41 odd, 36, 49-55 odd,50, 64, 65, 67, 69
Section 10.8 Graphing in Polar Coordinates
At this point the homework for this section consists of the polar graphing handout that will be collected and graded. The appropriate due date for your class will be announced in class.
It is possible that more practice problems may be assigned from the textbook for this sections.
Exam 1 Wednesday May 2
See Update section on Math 49B Homepage for more info
Sections 4.5, 4.6, 4.7, 4.8, 5.1, 5.2, 5.3, 5.4, 5.5, 10.7, and part of 10.8 (in 10.8 , graphs of lines and circles)
Section 10.9 Conic Sections in Polar Coordinates
1-23 odd, sketch the graph by hand using the "5 step"procedure on the handout to identify type and orientation of conic section and to find its vertices.
26 - 29 all; graph using your calculator to see rotations.
Section 6.5 Trigonometric Form of Complex Numbers
Part A of assignment:11-27 odd, 31 - 37 odd
This is all you are resonsible for in section 6.5; we are covering only part of this section, not covering the entire section
Quiz #3 will be Wednesday 5/9
Section 10.6 Parametric Functions and their Graphs
1-7 odd, 13, 15-21 odd, 27, 28, 37, 41, 57 a and d, 61
Use the calculator for the following problems:
23, 45, 49, 51, 53
Section 7.1 Systems of Equations, solution by substitution
Solve each of the following algebraically if possible. After solving algebraically, graph it to see the picture that goes along with the algebraic solution. You can use a graphical solution to check your algebraic solution. IF THERE IS NOT ANY WAY TO SOLVE IT ALGEBRAICALLY, then you can solve it graphically.
3, 7, 9, 11, 13, 17, 27, 41, 43, 45, 47, 57
Quiz will be Wednesday 5/16 on 10.6 and 7.1
Section 7.5 Systems of Inequalities
Graph the systems of inequalities and find the intersection points of the curves or lines that define the solution set.
1,9,11,15, 27-30, 33, 35, 37, 39, 43, 47, 55, 57, 59, 60
Section 7.2: Understand method of elimination for systems of 2 linear equations in 2 variables (This is actually review of material from algebra class):
9, 13, 15, 5, 7, 19, 22
Section 7.3: Understand method of elimination for systems of 3 linear equations in 3 variables as background for section 8.1: At least one of 13, 15, 17
Section 8.1 Gaussian Elimination
9, 11, 17, 27, 29, 31, 51, 53, 55, 59, 61, 63, 57, 65, 67, 69
Exam #2 Wed 5/23
Section 8.2
3, 5, 7, 9, 17, 25, 27, 29, 31, 41, 45, 46, 51, 53a, 55a, 63, 67, 69,
Worksheet #1 through 11
http://nebula.deanza.fhda.edu/math/FT/Bloom/M49B/MatrixHWHandout.GIF
Answers to Workheet
http://nebula.deanza.fhda.edu/math/FT/Bloom/M49B/MatrixHWAnswers.GIF
We skipped section 8.3
Section 8.4
5, 27, 31, 33, 35, 37, 41, 51, 75, 79, 81, 83
Worksheet #12 through 15
http://nebula.deanza.fhda.edu/math/FT/Bloom/M49B/MatrixHWHandout.GIF
Answers to Workheet
http://nebula.deanza.fhda.edu/math/FT/Bloom/M49B/MatrixHWAnswers.GIF
Section 7.4 Partial Fractions
5-15 odd, 19-29 odd, 37, 41, 43
Note that #31 which is NOT assigned has incorrect expansion in the answers in the back of the book
Quiz Wed 5/30 for AFTERNOON CLASS on 8.2 and 8.4
Quiz Fri 6/1 for MORNING CLASS on 7.4, 8.2, and 8.4
Section 9.1 Sequences & Series
1,3,5,7,11,17,19,23,25,51,53,54,59,61,73-79 off, 83, 89, 90
Section 9.2 Arithmetic Sequences & Series
1-15 odd, 18-22 all, 25, 26, 31, 33, 39-47odd, 57, 61-73 odd
For problems involving sums, use the formula - don't just add.
Section 9.3 Geometric Sequences & Series
Assignment Part A: 1,3,5,7,9,15,17,23,25,27,29,32,33,35,39
Assignment Part B: Finite Series (Sums)53 - 69 odd
Assignment Part C: Infinite Series (Sums)79-91 odd
As of Monday 5/4, the morning class can do all 9.3 homework and the quiz on Friday 5/8 can include anything from the section 9/3 assignment (Parts A, B, and C)
As of Monday 5/4 the afternoon class can do 9.3 assignment parts A and B
For the quiz on Wednesday 5/6 for the afternoon class only, 9.3 assignment parts B and C will NOT be on the quiz.
Section 9.4 Mathematical Induction
Distributed on a half page handout in class
4 problems collected and graded: #6 and #10 in text and #A & #B from handout.
Do only the following problems in 9.4 for homework: 5, 6, 7, 9, 10, 11, and also do A & B
A: 10 + 20 + 30 + 40 + . . . + 10n = 5n(n+1)
B. 3 + 30 + 300 + 3000 + 3(10^4) + 3(10^5)+ . . . + 3(10^(n−1)) = (1−10^n)/(-3)
Problems are due Monday 6/11 for afternoon class; problems were due Friday 6/8 for morning class.
Section 6.3 Intro to 2D Vectors
3, 5, 7, 11, 15-18, 21, 25, 31, 33, 39, 41, 43, 45
AND ALSO 58, 59, 61, 77 added after we did components and projections
Section 6.4 Dot Product
1, 3, 5, 7, 19, 21,
43, 45, 49, 51, 25, 27, 29, 31
AND ALSO 53, 55 added after we did components and projections
See update section of Math 49B homepage for exam 3 information for 6/13 and 6/14.
Section 11.1: 3D coordinates
1, 7, 9, 17, 21, 23, 31, 35, 41, 43, 45, 447, 49, 51, 57, 59, 63, 67, 69, 71
Section 11.2: Vectors in 3D
3, 7 - 29 odd, 35, 37, 39, 41
Section 11.3: Cross Product
1, 3, 5, 7, 9, 13, 15, 19, 23, 25
Section 11.4: Lines and Planes in 3-Space
1 thru 11 odd lines
17 thru 27 odd equations of planes
33, 35 angle between planes
37 thru 41 odd sketching planes
Both classes can do all the assigned section 11.4 problems as of the end of the last complete week of classes.
Applications of Vectors:
Check your specific class information below this assignment.
6.3 73, 75, 77, 79, 81 and problems from the blue handout
As of the end of class on Wednesday, the afternoon class can do all problems on the handwritten blue vector applications handout except 5 and 6, and can do 73-77 (sorry NOT 79 or 81) odd from section 6.3.
As of the end of class on Friday, the morning class can do all assigned problems from 6.3 and all vector applications on the blue vector applications handout (handwritten problems 1 - 13).
Answers to the handwritten blue vector applications handout are posted through a link on the Math 49B SOLUTIONS page.
There is a handout/assignment for section 9.5 that is due on the last Monday of class, June 25, worth 10 points of your grade.
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