### The course MATH 021 F is currently full.

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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.

#### Notes

Prereqs enforced by the system: MATH 010 or MRT of at least 12; Open to Continuing Education and Degree students

#### Section Description

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.

#### Section Expectation

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.

#### Evaluation

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.

### Course Dates

#### August 29, 2022 to December 9, 2022

##### Location

Rowell N/A Hlth 111 (View Campus Map)

##### Times

to on Monday, Wednesday and Friday

#### August 29, 2022 to December 9, 2022

##### Location

Innovation Hall E210 (View Campus Map)

to on Tuesday

### Important Dates

Note: These dates may not be accurate for select courses during the Summer Session.

Courses may be cancelled due to low enrollment. Show your interest by enrolling.

Last Day to Add September 2, 2022 September 12, 2022 September 19, 2022 September 26, 2022 October 31, 2022

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