Calculus I
Course: Math 141B, Spring 2012
Time & Place: MW 3:10 – 4:30 pm (RKC 115)
Instructor: Maria Belk (mbelk@bard.edu)
Office Hours:
Thursday 7 – 9 pm in RKC 102
Friday 3 – 5 pm in RKC 102
Course Tutors:
Kim Larie (kl165@bard.edu)
Solomon Garber (sg8373@bard.edu)
Moodle Page: MATH 141 S12
Announcements
Final Exam Practice Problems
Here are the final exam practice problems:
Final Exam Monday
The final exam is this Monday, May 21. A few notes on the exam:
- • Please bring a calculator to the exam.
- • Also, you should feel free to bring an 8.5" ×11" sheet of notes.
- • Copies of the new formula sheet will also be available (see below).
- • Approximately 40% of the exam will cover new material, and 60% will be on old material.
New Formula Sheet
Here is a new version of the formula sheet that includes a couple of integration formulas:
Copies of this formula sheet will be available during the final exam.
Practice Problems
Here are all of the practice problems since the last exam, organized by topic:
- Differentials
- Basic Integration
- Evaluating Integrals
- §5.1 # 15
- §5.2 # 31
- §5.3 # 1, 3, 5, 7, 9, 11, 13, 17, 23
- Tricky Integrals
- Areas and Volumes
- Fundamental Theorem of Calculus
- §5.4 # 3, 7, 9, 19, 21, 25
Differentials Notes
Here are some notes on differentials::
Exam Solutions
Here are the solutions to the first and second exam:
Practice Exams
Here are the practice exams for Exam 1 and Exam 2
Homework Solutions
We have had three homework assignments since the last exam. Here are the assignments:
And here are the solutions:
Moodle Quizzes
We have had five Moodle quizzes since the last exam:
Formula Sheet
Here is a formula sheet that includes all of the derivative formulas we have learned:
Homework Solutions
Here are all of the homework assignments from this semester:
and here are the solutions:
Practice Problems
Here are all of the practice problems since the last exam, organized by topic:
- Antiderivatives
- §4.8 # 1, 13, 23, 29, 31, 39, 41, 43, 51
- Asymptotes, Discontinuities, and One-Sided Limits
- §2.3 # 37
- §2.4 # 15, 17, 25, 35
- §2.5 # 3, 5, 7, 9, 17, 19, 39, 41
- §2.7 # 7, 9, 11, 35, 37
- Advanced Derivatives
- Graphing and Optimization
- §4.2 # 23, 25, 27, 37, 41, 43, 49, 51
- §4.3 # 5, 7, 13, 21, 23
- Second Derivatives
- §2.7 # 41, 43
- §2.8 # 1, 3
- §3.1 # 41, 45
- §3.3 # 35, 39
- Exponentials and Logarithms
- Trigonometry
- Implicit Differentiation
Moodle Quizzes
Here are Moodle Quizzes 5 through 9:
Exam 1 and Before
Practice Exam Problems & Solutions
Here are the practice problems for Exam 1:
Here are the solutions:
Chain Rule Practice Problems
Here are some practice problems on using the Chain Rule to find derivative formulas. The problems are from the textbook:
- § 3.4 # 7, 9, 11, 19, 23, 27, 41, 47
You can find the answers in the back of the book.
Related Rates Practice Problems
Here are some practice problems on related rates:
Practice Problems
Here are some practice problems on derivatives and the power rule:
- §2.7 # 1, 3, 5, 7, 9, 11, 13
- §3.1 # 3, 5, 7, 9, 11, 13, 17, 19, 21, 23, 27
Practice Problems: Limits
Here are some practice problems on limits. The answers are listed on the second page:
Notes and Practice Problems: Linear Functions
Since they aren't covered very well in the textbook, I have written up some lecture notes on linear functions:
In addition, here are some practice problems on linear functions. The answers are listed at the end:
Textbook
The textbook is
Single Variable Calculus: Concepts and Contexts, 4th ed., by James Stewart. This book is
currently selling on Amazon for $156 (or $85 used), and is also available at the campus bookstore.
Calculator
You will need a graphing calculator such as the
Texas
Instruments TI–83 or
TI–84. Used TI–83's are available on Amazon starting at $53.
Schedule
Course Policies
Introduction
This course is an introduction to the basic ideas of differentiation and
integration of functions, as well as the interplay between these concepts. The course will also
solidify and expand your algebra skills, and should clarify and deepen your understanding
of trigonometry, exponentiation, and logarithms. Math 141 is designed for students with
no prior Calculus experience, though in practice some students in the course may have seen
some calculus in their last year of high school.
Prerequisites
You must have a solid foundation in algebra and geometry, as well as some familiarity with trigonometry and logarithms. Please come talk to me if you are unsure whether this is the right course for you.
Computational Problems
Computation is an important component of mathematics, and is a key part of any calculus course. I will often recommend practice problems from the textbook, and you are strongly advised to try at least some of these problems. To make sure your computational skills are progressing, I will assign a short Moodle quiz each week consisting of a few relatively straightforward computational problems.
Written Homework
There will be a weekly homework assignment consisting of a few longer problems, with an emphasis on the conceptual side of calculus. You are encouraged to work with other students in solving the homework problems, but you should write your own solutions, and you must acknowledge anyone that you work with. Your solutions should be written clearly and in complete sentences, with enough detail that another student in the class would be able to follow your reasoning.
Exams and Grading
The grade will be based on the written homework assignments, the Moodle assignments, and three exams:
Exam 1 | 20% |
Exam 2 | 25% |
Final Exam | 30% |
Written Homework | 20% |
Moodle Quizzes | 5% |
The exams are two hours long, and are tentatively scheduled for March 2, April 20, and May 21. The first two exams are on Fridays, and you can take the exam any time that day.
Textbook
The textbook is
Single Variable Calculus: Concepts and Contexts, 4th ed., by James Stewart. We will cover most of the material in Chapters 1–4, as well as the first half of Chapter 5. You should read the relevant section of the text
before we cover the material in class, and then again while doing the homework.
Feedback
Do you have any suggestions for the class? Let me know by using the following feedback form!