Techniques and applications of integration. An introduction to multi-variable calculus: partial derivatives and double integrals. Students completing MATH 020 may be admitted to MATH 022; however, MATH 019 and MATH 023 is preferable to MATH 019. Prerequisite: MATH 019 or MATH 021.

#### Notes

Dates: May 24th - July 2nd, 2021

#### Section Description

Fundamentals of Calculus II is the second course in our two-course applied calculus sequence. Fundamentals of Calculus II is a continuation of the study of the calculus of functions of one variable as well as a study of multivariable calculus. This will include area between curves, integration by parts, basic differential equations, separation of variables, solving first-order linear differential equations, Taylor Polynomials and Tayler Series, improper integrals, continuous random variables and probability, functions of several variables, partial derivatives, maxima and minima of multivariable functions, Lagrange multipliers, and double integrals. This basically covers chapters 6 – 11 of the textbook given below. Topics will be presented with a level of depth and rigor appropriate for students pursuing degrees in business, economics, social and life sciences. Please speak to the Department of Mathematics and Statistics if you are unsure if you are taking the correct calculus course.

#### Section Expectation

Required Course Materials: Text (either e-text or hardbound text) and Online Homework Access Code You will need an access code for MyMathLab online homework, which includes access to the eBook version of the text. The access code can be purchased with or without a hardcover textbook; note that only the access code is required. Option #1: Minimum Requirement --- Choose this from the UVM Bookstore MyMathLab: Calculus for Business, Economics, Life and Social Sciences with ebook. ISBN 0134856791 • This is the stand alone Access Code for MyMathLab. If you would like a printed textbook in addition to the homework access code and ebook, choose the following bundle instead of the minimum requirements described above. Option #2: More than Minimum --- Choose this from the UVM Bookstore Calculus for Business, Economics, Life and Social Sciences with MyMathLab and ebook. ISBN 0134862635 • This includes a hardbound textbook and the Access Code for MyMathLab. Due to the condensed nature of this class, students will be expected to spend 15-20 hours per week on this class. This includes watching instructional videos, doing homework, and completing assessments (quizzes, exams, etc.). This class is offered remotely. There is no need to travel to campus to take any of the quizzes or exams.

#### Evaluation

Grades will be based on weekly discussion board participation, 3-5 homework assignments per week, weekly quizzes, a midterm exam, and a final exam.

### Course Dates

#### May 24, 2021 to July 2, 2021

##### Location

Online (View Campus Map)

### Important Dates

Note: These dates may change before registration begins.

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

Last Day to Add May 26, 2021 May 28, 2021 May 31, 2021 June 2, 2021 June 21, 2021

### Resources

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