Required Text: Calculus: Early Transcendentals, 8th edition, by Stewart (2016).

We will cover chapters 7-11 and 17 in the text. In this course we will extend the notions of the derivative and the integral to cover applications beyond the first course. We will begin with a review and then look at techniques of integration. One of the biggest applications of calculus is to modeling real world phenomena as differential equations, which will be the third topic of study. We will end the course with investigations into other tools, such parametric equations, conic sections, and  sequences and series.

Most students leave the traditional calculus sequence with very little sense as to the role that calculus plays in the modern world. Calculus is useful in the social sciences, as well as the biological and physical sciences. Optimization is a key to efficiency in the business world. However, it is not enough to just tell you these things; you must experience them. It is hoped that you will leave this course with the perception that calculus is useful, exciting, and alive in the modern world.

In this class you will be expected to learn calculus at three different levels: Applications, Basics and Computation. These ABC's of the course will be covered through the completion of labs and regular homework problems.

This is the second course in the calculus sequence. Hopefully this will be the most interesting of the sequence, As you have seen in your previous calculus class you will often be called upon to use all of the mathematics, which you have learned up to this point: algebra, trigonometry, geometry, differentiation and integration. You will be asked to solve application problems, which can be just as challenging as the calculus concepts.

Success in calculus stems from working at it. Nobody can do well in this course if they just sit passively and watch the instructor scribble some equations on the board. You need to attend every class, pay attention, ask questions, talk to other students and keep up by reading the text and working problems before coming to class. You should plan to study the material two hours outside of class for every hour that you are in class.

Calculus does entail a few rules; however, there is no way that you can come away with any understanding of the subject, unless you can see how it is used in the real world. As technology has become more abundant in our society, it seems fitting that preparation for the twenty-first century should entail the use of computers. You will be exposed to some technology, to sharpen your skills in critical thinking. However, you still need to be able to manipulate algebraic expressions by hand in order to fully internalize the material you are learning.

At the same time, you need to develop communication skills, especially in science and mathematics. Some of the grammatical rules for writing in mathematics are unfamiliar to students. With the abundance of word processors on the market today, professional reports are much easier to prepare. In this course you will have the opportunity to improve your communication skills by writing reports.

In this course you will occasionally work with other students to complete a task. In most cases these will be labs. For many of you group work will be a new experience. In order to make this experience both productive and enjoyable, we offer the following suggestions:

This syllabus as well as a variety of other relevant information for this class will be posted on the Internet. You are encouraged to log onto this page at least weekly and send me email. The pages can be found at the following web site: http://people.uncw.edu/hermanr/mat162 

Course Requirements

Exams and Grades: There will be four fifty minute exams and a final for this course. The exams will cover the basic material in the text. There will be no makeup exams without prior permission. The tentative dates of the exams and chapters covered are

Your final grade will be based on the following:

In order to learn the material in this course and earn a good grade, you need to put in some effort. Do not put off assignments or reading. If you do not understand something, ask the instructor. Come to office hours, use the email, ask knowledgeable students, or go to the library/internet and find supplementary material. The instructor can only cover the basics in class. You are not expected to know the material by only listening to the lectures. You need to work problems and think about what you are doing. You are expected to spend a minimum of two hours outside class for every hour you are in class.