Mathematics: Fundamentals of Calculus II

Techniques and applications of integration. An introduction to multi-variable calculus: partial derivatives and double integrals. Prerequisite: MATH 1212 or MATH 1234.

Asynchronous online; Prereqs enforced by the system: MATH 1212 or 1234; Open to Degree and PACE students

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.

Required Course Materials: 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 MyMathLab: Calculus for Business, Economics, Life and Social Sciences with ebook. This is available directly from the publisher, Pearson, or as a digital code from the UVM Bookstore. 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 (not recommended unless you feel you need a printed copy of the textbook) Calculus for Business, Economics, Life and Social Sciences with MyMathLab and ebook. This is available directly from the publisher, Pearson. It may also be available at the UVM Bookstore. ISBN 0134862635 • This includes a hardbound textbook and the Access Code for MyMathLab. There is a free trial period (10-14 days, I believe) for MyMath Lab. I recommend taking advantage of the free trial period before purchasing either of these options. You may think you will need a hard copy of the textbook, but after using MyMath Lab for a bit you may discover that you don't need it (or vice versa). 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.

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