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.

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

Textbook: Calculus for Business, Economics, Life Sciences, and Social Sciences by Barnett et. al. (14th Edition) Course Outline and Learning Objectives This is the second part of our application-oriented introduction to calculus with examples chosen from diverse fields. We shall cover most of Chapters 6, 7, and 9 through 11 of the textbook. Upon successful completion of the course, students will be able to: Examine various techniques of integration and apply them to definite and improper integrals. Solve problems in a range of mathematical applications using the integral. Solve business, economics, social and life science problems using integration and differential equations. Understand the underlying link between probability and calculus. Overall, students will be able to productively discuss mathematics in a group setting Write detailed solutions using appropriate mathematical language Identify areas in mathematics and other fields where Calculus is useful. Use the knowledge to complete assigned projects. Textbook: If you took Math 019 at UVM recently, this is the same text that you used, and your MyMathLab access should still be active (i.e. use the same Log-In info that you used for Math 019). Option #1: minimum requirement --- search 0134856791 on the UVM Bookstore website and then follow the prompts to purchase (this includes a digital copy of our textbook as well as your access code for MyMathLab). Option #2: more than the minimum requirement --- search 0134862635 on the UVM Bookstore website and then follow the prompts to purchase (this includes a physical copy of our textbook as well as your access code for MyMathLab). Homework, Quizzes and Examinations: Homework and some Quizzes and Examinations will be administered using "MyMathLab": Please note that you will want the MyMathLab Supplement that comes packaged with the textbook. You must log on to the MyMathLab system to complete assigned homework. You will be given several attempts to answer each question, and you can utilize the book and all the aids offered within the system to help solve the problems. Assignments can be completed after the due date but there will be a 10% penalty on any work after the due date. Make-up exams: If you have a genuine emergency and cannot take the exam before the due date, you must notify me within 24 hours of the start of the exam. Failure to notify me within 24 hours or failure to provide appropriate documentation will result in a 0 score for the exam. Final Grade: There will be no final exam. Your final grade will be calculated using averages of the assignments (Homework, Quizzes, Exams and Final Project).

Grading Percentages: Homework – 30% Quizzes – 25% Exams – 35% Project – 10%