Resources (Updated 9/23)
Dr. Freeman's Daily Schedule (to be added soon)
Office Hours
Monday-Friday 11:15 AM-12:15 PM Room 719D
You may also drop by Room 719D whenever I am free (see Dr. Freeman's Daily Schedule posted above), and I will be happy to help you, if I am available. If you would like to guarantee my availability, or require more than 10 minutes, I would invite you to schedule an appointment, either by email or in person.
Blank Copies of Old Exams (solutions can be found on the corresponding pages of this website)
Stewart Textbook Website (Calculus III)
Stewart Textbook Website (Calculus I & II)
Paul's Online Math Notes - Calculus I
Paul's Online Math Notes - Calculus II
Paul's Online Math Notes - Calculus III
Announcements (Updated 1/18)
What: Field trip to watch movie "Hidden Figures"
When: Tuesday, January 24th, 2017 at 10:00 AM
Where: UA Kaufman Astoria Cinemas
Meet at: School at 9 AM OR meet directly at the theater at 9:30 AM
Permission Slip: Fill out and return to Jess Hinds in the library by Friday, January 20
Cost to students: $7 (PTA covers the difference)
About the movie: https://www.youtube.com/watch?v=RK8xHq6dfAo
UPDATED AND CORRECTED: The Final Exam will be on Thursday 1/19 from 1:35 PM to 3:20 PM (Periods 6 & 7) in Room 653. It will consist of twelve equally-weighted problems, EXACTLY SIX of which will deal with material covered since Exam 3. You may bring in one 5 in. x 8 in. index card or piece of paper (using both sides) with information you deem relevant; however, all information must be in your own handwriting. (One 8.5 in. x 11 in. piece of paper with one side only used is also OK).
The Final Exam Review Session will be Tue 1/17 from 8:30-9:50 AM in Room 735.
Exam 3 Solutions are posted below.
IMPORTANT: You should have received an email in your Bard email account requesting that you complete this survey for the Math Department. Please complete it by this Friday, Dec. 16, if you have not already done so. Failure to complete the survey by this date may affect your class participation grade.
Exam 3 will be on Friday 12/23.
Quiz 8 on Friday 12/2 will cover HW 15.7A & 15.7B.
Exam 2 Solutions are posted below.
Exam 2 will be Wednesday 11/23, and will start at 8:35 AM sharp (75 minutes). It will cover HW 14.3-15.6
There will be a Quiz on Wednesday 11/16 on Sections 15.3, 15.4, & 15.5.
Exam 1 Solutions are posted below.
Here is the plan for the next week, modified for PSAT day on Wednesday:
10/14 - Begin Sec 14.3 (not on Exam 1). No Quiz.
10/17 - Student-Lead Review for Exam 1.
10/19 - PSAT: No class (or pre-class recitation).
10/20 - Exam 1 begins at 8:35 AM!
10/21 - Continue Sec 14.3. No Quiz.
Exam 1 will be on Thursday 10/20 and will cover through HW 14.2. If there are no objections, we can start the Exam at 8:35 AM instead of 9:00 AM, thus allowing 75 minutes instead of 50 minutes. It will be the same Exam in either case. If anyone has any objections to the Exam starting at 8:35 AM, please let me know no later than Friday 10/14 3:30 PM.
Quiz 3 and Quiz 4 will both be on Friday 10/7. Quiz 3 will cover Lines & Planes (13.5). Quiz 4 will consist of 10 "fill in the blank" questions on Conic Sections (11.5) & Quadric Surfaces (13.6).
Beginning Wednesday 9/21, there will be an optional recitation every Wednesday at 8:30 AM in Room 735, whose primary purpose is to go over homework.
The first Quiz will be on Friday 9/23.
Welcome to Calculus III.
Homework (Updated 1/13)
HW 17.4 (Green's Theorem)
Page 1096 Problems 1-9 odd
Due Tue 1/17
HW 17.3 (FTC for Line Integrals)
Page 1089 Problems 3-19 odd
Due Tue 1/17
HW 17.2C (Contour Integrals of Vector Fields)
Page 1079 Problems 17, 19, 21, 39, 41
Due Tue 1/17
HW 17.2B (Contour Integrals wrt Coordinates)
Page 1079 Problems 5-15 odd
Due Thu 1/12
HW 17.2A (Contour Integrals wrt Arc Length)
Page 1079 Problems 1 & 3
Due Wed 1/11
HW 17.1 (Vector Fields)
Page 1068 Problems 3, 5, 11-14 (matching), 15-18 (matching), 29-32 (matching)
Due Wed 1/11
HW $1,000,000
Solve one of these problems. Note that one of the problems deals with the complex zeroes of the Riemann Zeta Function.
Due Mon 1/9
HW 16.9 (Jacobian)
Page 1056 Problems 1-15 odd
Due Fri 1/6
HW 16.8 (Spherical Coordinates)
Page 1046 Problems 3, 5, 19, 20, 21, 23, 25, 27
Due Wed 12/21
HW 16.7 (Cylindrical Coordinates)
Page 1040 Problems 17-27 odd
Due Mon 12/19
HW 16.6 (Triple Integrals)
Page 1034 Problems 3-23 odd, 29-35 odd
Due Thu 12/15
HW 16.4 (Polar Coordinates)
Page 1014 Problems 7-35 odd
Due Mon 12/12
HW 16.3 (Double Integrals)
Page 1008 Problems 7-27 odd, 45-51 odd
Due Thu 12/8
HW 16.2 (Iterated Integrals)
Page 1000 Problems 3-21 odd, 25-31 odd
Due Mon 12/5
HW 16.1 (Double Integrals Over Rectangles) Page 994 Problems 1, 3, 9, 11
Only Problems 1, 3, & 9 are Riemann Sum Problems. Do 3 & 9 first, check your answers, and then do 1 if you need more practice.
Due Fri 12/2
HW 15.7B (Maximum and Minimum Values - Extreme Value Theorem)
Page 966 Problems 29-37 odd, 40, 41, 42
Due Wed 11/30
HW 15.7A (Maximum and Minimum Values - Critical Points)
Page 966 Problems 3-19 odd, 20, 21, 23
Due Mon 11/28
HW Exam 2 Review
Be prepared to present two problems at the board, either from homework that has not been discussed in class, or from past year's Exams. Please coordinate with your fellow classmates to avoid redundancy in choice of problems.
Due Mon 11/21
HW 15.6B (Directional Derivatives Part 2)
Page 956 Problems 21-29 odd, 33, 39-43 odd, 53, 57
Due Wed 11/16
HW 15.6A (Directional Derivatives Part 1)
Page 956 Problems 1-19 odd
Due Wed 11/16
HW 15.5 (Chain Rule)
Page 943 Problems 1-15 odd, 21-33 odd, 49, 55
Due Mon 11/14
HW 15.4 (Tangent Planes)
Page 935 Problems 1-5 odd, 11-21 odd
Due Wed 11/9
HW 15.3B (Partial Derivatives Part 2)
Page 925 Problems 45, 47, 49, 50, 51, 53, 55, 61, 63, 65, 67, 71, 73
Due Wed 11/9
HW 15.3A (Partial Derivatives Part 1)
Page 925 Problems 10, 15-41 odd
Due Mon 11/7
HW 15.2 (Limits & Continuity)
Page 913 Problems 5-21 odd, 25, 29-37 odd.
Note: None of these problems require epsilon-delta proofs. For Problem 13, show that the 0 <= |f(x,y)| <= |x| and then use the Squeeze Theorem.
Due Thu 11/3
HW 15.1 (Functions of Several Variables)
Page 902 Problems 7-29 odd, 18, 30, 31, 55-60 (all)
Due Wed 11/2
HW 14.3C (Curvature)
Page 872 Problems 17-31 odd, 43, 45
Due Mon 10/31
HW 14.3B (Arc Length Parameterization)
Page 872 Problems 13, 15, 16
Due Wed 10/26
HW 14.3A (Arc Length)
Page 872 Problems 1-5 odd, 11
Due Mon 10/24
HW Exam 1 Review
Work with a partner and be prepared to present two problems at the board, either from homework that has not been discussed in class, or from past year's Exam 1's. Please coordinate with your fellow classmates to avoid redundancy in choice of problems.
Due Mon 10/17
HW 14.2 (Vector Functions - Derivatives & Integrals)
Page 864 Problems 3-39 odd, 47
Due Fri 10/14 (but please finish what you can for Thu 10/13)
HW 14.1 (Vector Functions - Intro)
Page 858 Problems 1-6 (all), 15, 17, 19-24 (all), 27, 30, 31, 35. Use Wolfram Alpha for Problems 30 and 31.
Due Thu 10/13
HW 11.5/13.6 (Conic Sections & Quadric Surfaces)
Read and study textbook sections 11.5 & 13.6. Your memorization/comprehension level should be sufficient to answer "fill in the blank" type questions that involve little or no calculation.
Also, Page 847 Problems 21-28
Due Fri 10/7
HW 13.5C (Lines & Plane 3)
Page 838 Problems 1, 19, 21, 59, 61, 63, 65, 69, 71, 75
Due Wed 10/5
HW 13.5B (Lines & Plane 2)
Page 838 Problems 5, 17, 23, 25, 27, 29, 31, 33, 35, 37, 43, 45, 46, 49-57 odd
Due Fri 9/30
HW 13.5A (Lines & Plane 1)
Page 838 Problems 2, 4, 9, 10, 11, 13, 15
Due Thu 9/29
HW 13.4 (Cross Product)
Page 828 Problems 1-5 odd, 6, 7-19 odd, 27-37 odd, 45
Due Wed 9/28 (but complete as much as possible for Mon 9/26)
HW 13.3 (Dot Product)
Page 820 Problems 1-43 odd, 51
Due Fri 9/23
HW 13.2 (Vectors)
Page 813 Problems 5-23 odd, 24, 25, 28, 29, 35
Due Wed 9/21
HW 13.1 (3D Coordinate Systems)
Page 805 Problems 3, 5, 7, 10, 11, 13, 15, 17, 21, 23, 25, 27, 29, 31, 33, 35, 38, 39
Due Mon 9/19
HW 0.0 (Email)
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 Mon 9/19
Exam Results (Updated 1/17)
Note: All Exam Statistics are before adding make-up points (if applicable)
Exam 1
Statistics
Solutions (Note: 6 / sqrt(108) in Problem 8 reduces to sqrt(3) / 3.)
Student Work
Exam 2
Statistics
Student Work
Exam 3
Statistics
Solutions (Correction: In Problem 5, for the dz dy dx integral, the y limits should be from z to 1)
Student Work