## MA123

This course is an introduction to differential and integral calculus, with applications to business and the biological and physical sciences. We cover differentiation of rational, radical, and exponential functions, integration as area, and using the fundamental theorem of calculus to integrate certain elementary functions. We cover applications to increasing and decreasing functions, concavity, optimization, and related rates.

### Texts:

The lecture notes listed in #2 are the primary means of instruction for the course. These notes are based on the text listed in #1. The text is very readable and has many worked out examples. The text often provides more detail than the lecture notes.

1. Calculus by Elliot Gootman. The book is published by Barron's, and it will be the primary text for the course. The book can be purchased from the bookstores or online. We shall cover the material in the first ten (10) chapters of this book, as well as appendix B.
2. Online Course Notes. The course text will be used as the primary means of instruction.

### Goals:

This course will cover the topics from the first ten chapters and appendix B of the text, Calculus, by Gootman. All of these topics are covered in the online homework sets.

Upon successful completion of the course, the student should be able to

1. Evaluate limits of functions given graphically or algebraically;
2. Compute derivatives of algebraic, logarithmic and exponential functions, and combinations of these functions; Interpret the derivative as a rate of change, and solve related application problems;
3. Use the first and second derivatives to analyze the graphs of functions, to find the maximum and minimum values of a function, and to solve related application problems;
4. Interpret the definite integral in terms of area, and solve related application problems;
5. Integrate selected functions, and apply the fundamental theorem of calculus to evaluate definite integrals.

### Prerequisites:

You should have a strong understanding of college algebra and an ACT score of at least 26 or a score of 70% on the placement exam. If you have a weak algebra background it is essential that you immediately brush up on this prerequisite. Most students who do not do well in calculus find that the required algebra is a major roadblock.

Helpful resources if you need to brush up on algebra, geometry, or arithmetic:

### Recitation:

The recitation/participation points will be awarded for actively engaging in discussions in recitation, performance on worksheets, and performance on quizzes. Each recitation instructor will provide a handout on the first day explaining the polices and grading specific to their sections.

### Excused Absences:

Excused absences are granting according to University Senate Rule 5.2.4.2, which defines the following as acceptable reasons for excused absences: serious illness; illness or death of family member; University-related trips; major religious holidays; other circumstances your instructor finds to be "reasonable cause for nonattendance".

Absences from exams should be reported (in advance) on this form. Students who have university excused absences or who have university-scheduled class conflicts with uniform examinations need to make arrangements to take exam at an alternate time. According to university policy, it is the student's responsibility to resolve scheduling conflicts with common hour exams, and this must be done at least TWO WEEKS before the exam. If you fail to inform your instructor of exam conflicts in timely manner, a penalty may be assessed on your exam score and you will be required to take the exam at one of the already scheduled alternate exam times. To avoid any problems request alternate exams here as soon as you know you may have a conflict.

For lecture attendance, your clicker grade will automatically allow you to have up to five excused absences without providing any documentation. If you accumulate six or more excused absences from lecture, you should provide official documentation for ALL of the absences to your lecturer within one week of the sixth excused absence (and for any absence thereafter).

For recitation attendance, see your recitation instructor for details.

### Disability Accommodations:

If you have documented disability that requires academic accommodations, please see your lecturer as soon as possible during scheduled office hours. In order to receive accommodations in this course, you must provide a Letter of Accommodation from the Disability Resource Center (Suite 407, Multidisciplinary Science Building, 859-257-2754, email address jkarnes@email.uky.edu) for coordination of campus disability services available to students with disabilities.