Introduction to limits and differential calculus with a wide variety of applications. Students interested in intensive use of mathematics should take MATH 021. Credit not given for more than one of the courses MATH 019, MATH 021 unless followed by MATH 022. See MATH 023. Prerequisite: MATH 009 or MATH 010, or sufficiently strong background in secondary school algebra and geometry.
Open to degree and CDE students
Fundamentals of Calculus I is the first course in a two course sequence. The underlying applications of differential calculus will be investigated (chapters 1 – 6 and 13 of the Lial textbook). This will include an understanding of functions, limits, continuity, rates of change, derivatives (including implicit), and derivative applications. The material will be discovered and shown via mathematical modeling of real world situations. An emphasis will be made to understand these new concepts graphically, numerically, verbally, and algebraically. The motivating goal behind this course is to introduce the basic theory and concepts of differential calculus. Upon the successful completion of the course, a student will be prepared to take Math 020.
Class time will be spent lecturing. There are two options for course materials available at the UVM bookstore. You can decide to choose one of these options or you may choose to purchase your course materials from another source. Please be aware that access to MyMathLab is REQUIRED, and purchasing these resources from a source outside of UVM or the publisher runs the risk of obtaining compromised materials. Option 1: Calculus with Applications 11th Edition by Lial, Greenwell and Ritchey packaged with a MyMathLab Access Code. ISBN 0133886832 Option 2: Stand Alone MyMathLab Access Code. ISBN 032119991X Note: An e-book version of the textbook Calculus with Applications 11th Edition by Lial, Greenwell and Ritchey is included with the MyMathLab Access Code. Note: An Access Codes cannot be used by multiple people, but a single person can use the code for both Math 019 and Math 020.
There will be two in-class exams and a University-scheduled final exam. There will be frequent homework and all homework will be turned in online. There will also be frequent in-class quizzes. The grading scheme is as follows: Homework: 15% Quizzes: 15% Exam 1: 20% Exam 2: 20% Cumulative Final Exam: 30%
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