Introduction to calculus of functions of one variable including: limits, continuity, techniques and applications of differentiation and integration. Prerequisites: MATH 010. Credit not given for more than one course in the pair MATH 019, MATH 021 unless followed by MATH 022 or MATH 023.
Dates: July 6th - August 13, 2021
Math 021 is a four credit course in first semester calculus for students interested in mathematics, computer science, engineering and the physical sciences. The course covers a lot of material. We begin with an extensive look at the idea of the limit; which is the idea that underlies all of calculus. We will define the derivative, which generalizes the slope of a line. We will learn how to compute the derivatives of most of the common functions. After learning how to find derivatives, we will apply derivatives to find maximums and minimums, optimal outcomes and to graph many functions. We then move on to define the integral, which is the other main idea in calculus. The integral will allow us to find areas under curves. This has many important applications and we will consider several. We will see that the derivative and the integral are opposite sides of the same coin. One of the great results in all of mathematics. This course is completely online. I will send you a calendar as to what topic and section you should be doing on which day. I will post notes on blackboard as well as send you a link to my video and links to other videos.
You are to have a solid knowledge of precalculus and of basic trignometry. You should have taken the math readiness test that UVM offers. If not, we might be able to work around it. Send me an email. To cover this course in six weeks, you should expect to spend at least 4 hours a day on the course. There will be homework on Webassign. Webassign is a computer system for homeworks and tests. I will send you an email in May on the different options to purchase Webassign.
Your grade will be based on six exams; one a week as well as on the homeworks. These will be done online.
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Note: These dates may change before registration begins.
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|MATH 009 OL1||Mathematics: QR: College Algebra (online)||to||N/A||See Notes||3||61760|
|MATH 010 OL1||Mathematics: QR: Pre-Calculus Mathematics (online)||to||N/A||See Notes||3||61761|
|MATH 017 OL1||Mathematics: QR:Applications of Finite Math (online)||to||N/A||See Notes||3||61763|
|MATH 021 OL1||Mathematics: QR: Calculus I (online)||to||N/A||See Notes||4||61768|
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