Resources (Updated 10/1)
Office Hours
Tuesday Period 3, Period 4, & Period 7, 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.
Teaching Assistants / Peer Tutors
Radwa (re0921@bhsec.bard.edu)
Wed P4 (first half only) and Thu P3 in Library
Athalia (ab4288@bhsec.bard.edu)
Tue P1 and Tue P5 in Library
Blank Copies of Old Exams (solutions can be found on the corresponding pages of this website)
Wolfram Alpha Calculus Examples
Paul's Online Math Notes - Calculus I
Paul's Online Math Notes - Calculus II
Veitch Calculus 2 Final Exam Study Guide
Announcements (Updated 1/12)
Exam 3 (and possibly the Problem Set as well ) will be graded and available for pickup on Tuesday 1/16 at 9:00 AM.
Blank copies of Exams from this semester have been added to the folder.
The Final Exam will be on Wednesday 1/17 from 1:35 PM to 3:20 PM (Periods 6 & 7) in Room 632.
A portion (40%) of the Final Exam will consist of Multiple Choice Problems. Here is a sample of four Multiple Choice Problems taken from old Final Exams. Note that Problems 2 & 3 are "conceptual" in that they can be answered without doing any computations; whereas Problems 1 & 4 require computations. You should expect a roughly 50-50 mix of conceptual and computational problems. Also, expect the level of difficulty to vary from somewhat easier to slightly harder than these.
We will meet at 8:30 AM this week on Friday (1/12) instead of Wednesday (1/10), and use that 80 minutes for Final Exam Review.
Exam 3 Solutions are posted below.
Happy Snow Day! The Exam will be the next day we have class (probably tomorrow Fri 1/5). As agreed in class, the Exam will begin at:
Earlier(8:35 AM, Later(8:25 AM, Time Last Student Arrives)). Please allow adequate travel time! Late arrivals will not be given additional time.
Quiz 9 will be Friday 12/15, Quiz 10 will be Friday 12/22, and Exam 3 will be Thursday 1/4. There will be no Quizzes in January.
Please note the updated Problem Set 1 below!
Please take a look at the "Advanced Applied Math" sections of this website, and email me no later than 12/15/17 if you think you would be interested in taking the course next semester. The official prerequisite is "B or better in both Calculus I and Calculus II or permission of the instructor". We will need an enrollment of at least 8 in order to offer the class. In my opinion, the course covers some of the most interesting math that you will ever see, and provides a glorious culmination of all of the math that you have learned so far.
Exam 2 Solutions are posted below.
Exam 2 will be on Fri 12/1 and will primarily cover HW 5.7A through HW 8.1B. However, you will also be expected to be proficient in all the mathematics you have learned from first grade up through and including the previous Exam.
On Wed 11/29 we will review in class from 8:30 until 9:50 AM.
On Wed 11/29 there will be an additional review session after school run by the teaching assistants in Room 715.
Generally speaking, I will not be available to answer questions on Thu 11/30.
Quiz 6 on Friday 11/3 will cover HW 5.7A and HW 5.7B.
Exam 1 Solutions are posted below.
There will be a Review Session for Exam I run by the Teaching Assistants Tue 10/24 at 3:30 PM in Room 715.
Exam 1 will be on Thursday 10/26 and will cover all homework through HW 5.6. You will also be expected to be proficient in all the mathematics you have learned from first grade up through and including HW 5.6. In particular, you will be expected to be familiar with the basic properties of trigonometric and exponential functions and their inverses.
There is no class (or recitation) on Wed. 10/11 due to the PSAT. Therefore, the recitation will be held on Thu 10/12 at 8:30 AM for that week.
The first Quiz will be on Wednesday 9/20 (there is no school on 9/21 & 9/22).
Beginning Wednesday 9/20, there will be an optional recitation every Wednesday at 8:30 AM in Room 735, whose primary purpose is to go over homework.
Welcome to Calculus II.
Problem Sets (Updated 12/12)
Problem Set 1 (Problem 5 added 12/12)
Homework (Updated 1/8)
(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.)
Some assigned textbook problems have a "calculator graphing" component. That part of the problem (only) is optional; the rest of the problem is required.
Note: You can check your answers to the even numbered problems using Wolfram Alpha.
This is the Final Homework!
HW 6.2 (Volume)
Page 457 Problems 1-15 odd, 27, 33, 43, 49, 53
Due Fri 1/12 (but please do as much as possible for Thu 1/11)
HW 8.7 (Taylor Series)
Page 615 Problems 9-15 odd, 19, 21, 23
Due Wed 1/3
HW 8.6 (Geometric Series Tricks)
Page 604 Problems 3-10 (all), Problems 11-23 odd, 35
Due Wed 12/20
HW 8.5 (Power Series Convergence)
Page 598 Problems 3-21 odd, Important Problem 20, Optional Problems 25 & 27
Due Mon 12/18
(Problems 25 & 27 are optional - you will not be tested on these types of problems)
HW Problem Set Rough Draft
Please bring a rough draft of all 3 Problem Set problems that you intend to submit to class.
Due Fri 12/15
HW 8.4B (Other Convergence Tests Part 2)
Page 592 Problems 19-35 odd
Due Wed 12/13
HW 8.4A (Other Convergence Tests Part 1)
Page 592 Problems 1-13 odd, 17
Due Mon 12/11
HW 8.3 (Integral & Comparison Tests)
Page 585 Problems 2, 3, 4, 5, 8, 9, 10, 11-27 odd
Due Fri 12/8
HW 8.2B (Divergent Test, etc.)
Page 574 Problems 9, 17-25 odd, 41, 45, 48
Due Wed 12/6
HW 8.2A (Geometric & Telescoping Series)
Page 574 Problems 10, 11-16 (all), 27-37 (odd)
Due Mon 12/4
HW 8.1B (Sequences Part 2)
Page 566 Problems 37, 41-49 odd
Due Mon 11/27 (extended)
HW 8.1A (Sequences Part 1)
Page 565 Problems 3, 4, 5, 6, 7, 8, 9-33 odd
Due Mon 11/20
HW 5.10C (Improper Integrals Part 3)
Page 431 Problems 41-47 odd, 57
Due Wed 11/15
HW 5.10B (Improper Integrals Part 2)
Page 431 Problems 2, 23-37 odd
Due Mon 11/13
HW 5.10A (Improper Integrals Part 1)
Page 431 Problems 5-21 odd
Due Fri 11/10
HW 5.8/5.9 (Un-Doable Integrals)
Congratulations! You have been selected to participate in the Un-Doable Integral Contest. Have fun!
Due Wed 11/8
HW 5.7D (Partial Fractions Part 2)
Do these problems.
Due Mon 11/6
HW 5.7C (Partial Fractions Part 1)
Page 404 Problems 17-31 odd
Due Mon 11/6 (extended)
HW 5.7B (Trig Substitution)
Page 404 Problems 9, 10, 11, 13, 14
Due Wed 11/1
HW 5.7A (Miscellaneous Trig Tricks)
Page 404 Problems 1, 2, 3, 5, 6, 7; plus this problem.
Due Mon 10/30
HW 5.6 (Integration by Parts)
Page 398 Problems 1-31 odd, 34, 43, 44
Due Mon 10/23
HW (Even & Odd Functions)
Even and Odd Functions Worksheet (Modified - Problems 1, 2a, 2b, 3, 5 only)
Spring 2013 Test 2 Problems 1, 8, 12
Spring 2014 Exam 1 Problems 5, 12
Due Thu 10/19 (but complete as much as possible for Wed 10/18)
HW Study Old Exams
Identify and study the problems on the old Exam I's which you can do using the material we have learned so far.
Due Mon 10/16
HW 5.5B (Substitution - Definite Integrals)
Page 392 Problems 39-53 odd, 57, 59, 63, 65
Due Fri 10/13
HW 5.5A (Substitution - Indefinite Integrals)
Page 392 Problems 1-33 odd
Due Thu 10/12
HW 5.4C (Generalized FTC)
Page 383 Problems 11, 13, 15, 16, 17
Due Fri 10/6
HW 5.4B (More FTC)
Page 383 Problems 19, 22, 26, 27
Due Thu 10/5
HW 5.4A (FTC)
Page 383 Problems 3, 6, 7, 8, 9, 10, 18, 21, 25
Due Wed 10/4
HW 5.3 (Evaluation Theorem)
Page 374 Problems 3-29 odd, 35, 37, 41, 43, 46
Due Mon 10/2 (but please complete as much as possible for Fri 9/29)
HW 5.2 (Riemann Integral)
Page 364 Problems 5, 7, 17, 19, 27, 31, 32, 35, 37, 41, 43, 44
Due Wed 9/27 (but please complete as much as possible for Mon 9/25)
HW R2 (Review 2)
Complete the HW 1.0 and HW 2.0 review sheets distributed in class. Check your answers using Wolfram Alpha as necessary.
Due Mon 9/18
HW R1 (Review 1)
Complete the Calculus II Day 1 Review Sheet distributed in class. This is for you to self-assess what you remember, so it is recommended that you try to complete it without looking anything up. Use the codes A-D for answers you do not know.
Due Thu 9/14
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 9/18
Exam Results (Updated 1/5)
Note: All Exam Statistics are before adding make-up points (if applicable).
Exam 1
Statistics
Student Work
Exam 2
Statistics
Student Work
Exam 3
Statistics
Student Work