Resources (Updated 3/9)
Ms.Velamur's Website (with Quiz Solutions)
Announcements (Updated 6/9)
There will be an optional Homework/Review Session Wednesday 6/10 at 2:30 PM in Room 632.
The Final Exam will be on Friday 6/12 from 12:40 PM to 2:25 PM (Periods 5 & 6) in Room 630.
Exam 3 Solutions are posted below.
Blank copies of your Exams can be found here.
There will be a Quiz on Thursday 5/14 covering HW 7.4 and HW 7.5.
The last Quiz will likely be on Friday 5/22 and Exam 3 will likely be on Monday 6/1.
Exam 2 Solutions are posted below.
Exam 2 practice test solutions can be found here.
Exam 2 will be on Monday 5/4 and cover through HW 7.2. There will not be a Quiz on Friday 5/1.
Please note the Spring Break assignment posted in the Homework section below.
There will not be a Quiz on Thursday 4/2. There will be a take home assignment over Spring Break instead.
Exam 1 Solutions are posted below.
Exam 1 has been moved to Thursday 3/19 due to many students taking the SAT on 3/14. It will cover all material covered in class through and including Monday 3/16.
Note: The Quiz Friday 2/13 will cover up through and including HW 1.3A.
Welcome to Foundations of Applied Math.
Homework (Updated 6/5)
(Note: You are responsible for all Homework posted and/or updated before 5:00 PM the school day before the due date. Due dates are subject to change, so please check them carefully.)
"G" denotes the Green Algebra and Trigonometry textbook by Stewart.
"W" denotes the White Precalculus textbook by Cohen
HW 8.7
Do HW#57 on Ms. Velamur's Website, which can be found here.
Period 4 Due Tue 6/9
Period 7 Due Mon 6/8
HW 8.6
Do HW#56 on Ms. Velamur's Website, which can be found here.
Period 4 Due Mon 6/8
Period 7 Due Fri 6/5
HW 8.5
G Page 361 Problems 35, 37, 41, 43, 47, 53. 55
For each vertical asymptote, write two equations using "limit notation" that describe the behavior of the function near the asymptote.
For each horizontal asymptote, write two equations using "limit notation" that describe the behavior of the function near the asymptote.
Graphing the function is recommended, but not required.
Period 4 Due Fri 6/5
Period 7 Due Wed 6/3
HW 8.4
1) Spend about 20 minutes finalizing your definitions (taking into account the issues and ideas we discussed in class) for Vertical Asymptote, Horizontal Asymptote, and Hole. Your definitions should not assume the function in question is a rational function.
2) The more formal mathematical name for a "Hole" is a "Removable Discontinuity". Write a few sentences about what you think the words "removable" and "discontinuity" mean in this context.
3) Find and print out formal definitions of Vertical Asymptote, Horizontal Asymptote, and Removable Discontinuity on the internet. In these definitions, circle anything that sounds similar to the definitions you constructed. Also, underline any terms or ideas that you do not understand or that you do not think are well defined.
Period 4 Due Tue 5/26
Period 7 Due Tue 5/26
Please have HW 8.2 and HW 8.3 ready to hand in and/or present at the board on Thu 5/21. If you will be absent on that day, you are required to scan and email me a copy of both of these assignments by 3:20 PM on Thu 5/21.
HW 8.3 (Partial Fractions 2)
G Page 768 Problems 25-41 odd
Period 4 Due Thu 5/21
Period 7 Due Thu 5/21
HW 8.2 (Partial Fractions 1)
G Page 361 Problem 30 : Graph the function, show it is a hyperbola, and find the center and vertices.
G Page 768 Problems 15-23 odd
Period 4 Due Mon 5/18
Period 7 Due Mon 5/18
HW 8.1 (Rational Function Review)
Read G Section 4.5 and/or W Section 4.7 on Rational Functions, and work 3-5 Problems of your choice as practice. (You covered this material in 10th grade and in Pre-Calculus).
Period 4 Due Thu 5/14
Period 7 Due Thu 5/14
HW 7.5 (Expected Value)
G Page 964 Problems 1-15 odd
Also, as discussed in class, design a spinner game that costs $1 to play, has a winning payoff of $5, and an expected profit of $0.10 per game to the underwriter (an expected loss of $0.10 per game to the game player) . What is angular measure of the "win" sector of the spinner?
Period 4 Due Tue 5/12
Period 7 Due Wed 5/13
HW 7.4 (Binomial Probability)
G Page 960 Problems 15-27 odd
Period 4 Due Mon 5/11
Period 7 Due Mon 5/11
HW 7.3 (Probability Problems)
G Page 954 Problems 33, 35, 37, 39, 40, 43, 45, 46, 47
Period 4 Due Thu 5/7
Period 7 Due Thu 5/7
HW 7.2 (Intro to Probability)
G Page 952 Problems 1-11 odd
Period 4 Due Fri 5/1
Period 7 Due Fri 5/1
HW 7.1 (Permutations and Combinations)
G Page 943 Problems 55-75 odd
Express answers that cannot easily be computed without a calculator as a prime factorization.
Period 4 Due Thu 4/30
Period 7 Due Thu 4/30
HW 7.0 (Fun Fact of the Day)
1) Prove, without the use of a calculator, that there are exactly 10! seconds in 6 weeks.
2) Read Section 13.2 in the green textbook and write down one question you have about the material.
Period 4 Due Mon 4/27
Period 7 Due Mon 4/27
HW 6.4 (One Last Rotation Problem)
G Page 839 Problem 25
Also, find the coordinates of the center, vertices, and foci in the xy coordinate system.
Period 4 Due Thu 4/23
Period 7 Due Thu 4/23
HW 6.3 (More Rotations)
G Page 839 Problems 19, 27, 29, 31
Period 4 Due Tue 4/21
Period 7 Due Wed 4/22
HW 6.2 (Rotation of Axes Formulas)
G Page 838 Problems 7-12
Period 4 Due Mon 4/20
Period 7 Due Mon 4/20
HW 6.1 Solution
HW 6.1 (Rotations Intro)
Using the definition of parabola, and the formula for calculating the distance between a point and a line (discussed in class):
1) Find (and simplify) the equation of the parabola with focus (2,1) and directrix 4x+3y-36 = 0.
(Hint: This is exactly like the calculation we did in class. After fraction busting, the largest coefficient in your equation should be 1171.)
2) What is the equation of the axis of symmetry of the parabola?
(Hint: You do not need to know the equation of the parabola to find this.)
3) As a check, graph your equation using Desmos, along with the focus, the directrix, and the axis of symmetry.
4) What is "p" for the parabola?
5) What is the vertex of the parabola?
Period 4 Due Thu 4/16
Period 7 Due Thu 4/16
HW PS1
Complete your final draft of Problem Set 1. Multiple pages must be stapled. Presentation counts!
Period 4 Due Tue 4/14
Period 7 Due Wed 4/15
HW SB
Do these problems.
This assignment will count as 2 Quizzes. You are required to attempt every part of all 4 problems, and to bring a rough draft of your work to class on Monday 4/13. If you are going to be absent on that date, you must email me a copy of your work before noon on Monday 4/13. You will have the opportunity to discuss your work with others before submitting your final draft, but if you do not have a complete rough draft when you arrive in class on Monday 4/13, the maximum grade you can achieve on this assignment will be 5/10.
Please do not use decimals or mixed numbers in this assignment - improper fractions only!
In Problem 2, point F denotes the focus of the parabola, which is on the y-axis.
Period 4 Due Mon 4/13
Period 7 Due Wed 4/13
HW 5.2 (Mixed Shifted Conics)
G Page 830 Problems 25, 26, 27, 29, 35, 36
Period 4 Due Tue 3/31
Period 7 Due Wed 4/1
HW 5.1 (Hyperbolas)
G Page 816 Problems 1- 39 odd
W Page 864 Problems 11-23 odd, 36
Period 4 Due Mon 3/30
Period 7 Due Mon 3/30
Please have HW 4.1 and HW 4.2 ready to hand in and/or present at the board on Thu 3/26.
HW 4.2 (Ellipses 2)
G Page 808 Problems 29-39 odd
W Page 851 Problems 13-23 odd, 31
Also, find the equation of the ellipse with foci (-2,5) and (-2,-1) and eccentricity 0.6.
Period 4 Due Thu 3/26
Period 7 Due Thu 3/26
HW 4.1 (Ellipses 1)
G Page 807 Problems 1-23 odd
Period 4 Due Mon 3/23
Period 7 Due Mon 3/23
HW 3.5
Complete and write up the Fun with Focal Chords project. You should be ready to present your results at the board and/or hand in your written work.
You can print free graph paper here.
Period 4 Due Mon 3/16
Period 7 Due Mon 3/16
HW 3.4
Do the problems on the back of the Fun with Focal Chords project.
Period 4 Due Fri 3/13
Period 7 Due Fri 3/13
HW 3.3
G Page 261 Problems 19-27 odd. Express in Vertex Form and find the Vertex, Focus, Directrix, Axis of Symmetry, and Focal Diameter
W Page 836 Problems 29, 30, 31, 32
Period 4 Due Thu 3/12
Period 7 Due Thu 3/12
HW 3.2
G Page 799 Problems 1-6 (all), 7-17 odd
Period 4 Due Tue 3/10
Period 7 Due Wed 3/11
HW 3.1
Complete the handout from class on 3/6
Period 4 Due Mon 3/9
Period 7 Due Mon 3/9
Please have HW 1.3A through 2.1E ready to hand in and/or present at the board on Thu 3/5.
HW 2.1E (DeMoivre's Theorem - nth Roots)
G Page 652 Problems 79-91 odd. Bonus Problem: Find all solutions to z4 = (z+1)4
Period 4 Due Thu 3/5
Period 7 Due Thu 3/5
HW 2.1D (DeMoivre's Theorem - Square Roots)
G Page 652 Problems 77, 96
W Page 1021 Problems 60, 69
Period 4 Due Tue 3/3
Period 7 Due Wed 3/4
HW 2.1C (DeMoivre's Theorem - Powers)
G Page 652 Problems 65-75 odd
Period 4 Due Mon 3/2
Period 7 Due Mon 3/2
HW 2.1B (Complex Numbers: Polar Form)
W Page 1020 Problems 9-12, 19-27 odd (also choose theta so that -pi < theta <= pi)
Period 4 Due Fri 2/27
Period 7 Due Fri 2/27
HW 2.1A (Complex Numbers: Arithmetic and Notation)
G Page 651 Problems 1-15 odd
W Page 905 Problems 11, 15, 17, 23, 25, 29, 33, 35
Also, show that Re(iz) = -Im(z) for every complex number z.
Period 4 Due Thu 2/26
Period 7 Due Thu 2/26
HW 1.3B (More Polar Graphing)
G Page 643 Problems 24, 25, 26, 33, 34
First, make an (serious) attempt to graph these on your own, then check your graphs using desmos.com
Period 4 Due Mon 2/23
Period 7 Due Mon 2/23
HW 1.3A (Easy Polar Graphing)
G Page 643 Problems 15-21 (all), 27
Period 4 Due Fri 2/13
Period 7 Due Fri 2/13
HW 1.2B (Converting Equations)
W Page 708 Problems 7-23 odd
Period 4 Due Thu 2/12
Period 7 Due Thu 2/12
HW 1.2A (Basic Polar Equations)
W Page 708 Problems 25, 26, 27, 28
Period 4 Due Tue 2/10
Period 7 Due Wed 2/11
HW 1.1B (Practice with Negative r and Crazy theta)
G Page 634 Problems 13-20
Period 4 Due Mon 2/9
Period 7 Due Mon 2/9
HW 1.1A (Intro to Polar Coords)
W Page 708 Problems 1-6
For Problems 1-6, also express each point in polar coordinates with r non-negative and theta in the interval ( -pi, pi ].
Period 4 Due Fri 2/6
Period 7 Due Fri 2/6
HW 0.0
Please send me a short introductory email describing yourself, your interests, your career aspirations, your feelings toward mathematics, and your mathematical experience here at BHSEC. Also, please include the phone number and the email address of your parent/guardian. (This is required, even if you have done it for a previous course.)
Due by 9AM Thu 2/5
Note: All Test Statistics are before adding make-up points (if applicable).
Exam 1
Statistics
Student Work
Exam 2
Statistics
Student Work
Exam 3
Statistics
Student Work