Calculus I (Math 111)

Here you can download the syllabus.

Review for the final

Solutions to the problems suggested in our last class

Links

A graphical view of the (ε, δ)-definition of limit.

Assignments

Homework is not mandatory and will not be graded, but I strongly encourage you to work on it since I believe that the only way to really learn math is through problem solving.

If you are having problems with any homework, you should try all resources available to you (read the book, consult your notes) and if you still don't understand how to get to the answer, e-mail me for a meeting during office hours (see the syllabus).

Assignments are "due" in one week after the date posted here. They will not be collected though. You should try to take this virtual deadline seriously since this is a good way to study for the quizzes. Note: the problems in the quizzes/exams may differ from those of homework/examples given in class. Learning math is about understanding an abstract concept and being able to apply it to different situations, do not expect to memorize solutions and spit them out at the tests.

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9/3 - Give examples of Calculus applications to your field of study. You may join efforts with other students in your field. Only a high level view of the application is necessary, for instance:
In the field of Geology, the study of petroleum deposits is of obvious importance. Calculus provides some of the tools used to estimate how much oil is there and how fast it will flow. See this Yahoo answer.

9/10 - From Chapter I, which is a review of functions, you should try solving as many problems as you need. If you are confident that you know this material, you may skip most of the problems. If you are having difficulty following the lectures and understanding the basic ideas, try many problems of that Chapter.
From 2.1 (p. 65 of the 6th edition) solve problems 1, 6, 8. From 2.2 (p. 74), ex. 1, 2, 3, 6, 12, 40 + any 2 from 21-24 and any 2 from 25-32.

9/17 - From 2.3, problems 2, 4, 7, 11, any 4 from 19-32, 37, 44

10/6 - From 2.4, problems 11, 44. From 2.5, problems 8, any 3 from 21-28, 40 and 65. From 3.1, problems 3, 12, 43, 46.

10/20 - Ch 3.2: ex. 3, two from 4-11, 31, 39, 53.
Ch 3.3: six from 1-20, 25, 49, 63, 73, 87.
Ch 3.4: four from 1-16, 21, 33, 40, 49, 51.
Ch 3.5: three from 1-6, six from 7-46, 69, 73, 84, 87.

10/27 - See the solution to problem 43 of page 189 that was proposed in today's class.

11/18 - Ch 3.6: ex. 2 from 1-4, 22, 29.
Ch. 3.7: ex. 3, 11, 22.
Ch. 3.9: ex. 2 from 1-4, 3 from 15-18, 34.
Ch. 4.1: ex. 1, 2 from 7-10, 4 from 29-42.
Ch. 4.2: ex. 2 from 1-4, 2 from 11-14, 32.

Quizzes

Quiz #1 - 9/12 - here.
Quiz #2 - 9/19 - here.
Quiz #3 - 10/10 - here.
Quiz #4 - here.
Quiz #5 - here.

Exams

Mid-term #1 - 9/26 - here.
Mid-term #2 - 10/29 - here.
Mid-term #3 - 11/24 - here.