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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.
Prereqs enforced by the system: MATH 010 or MRT of at least 12; Open to Continuing Education and Degree students
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.
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. There will be homework on Webassign. Webassign is a computer system for homeworks and tests.
You will have homework assigned several times a week. There will be 6 tests, (I will drop the lowest score) and a final exam. All the graded work will be done on Webassign.
Rowell N/A Hlth 111 (View Campus Map)
to on Monday, Wednesday and Friday
Innovation Hall E210 (View Campus Map)
to on Tuesday
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