MATH 231: Calculus of Functions of One Variable I This syllabus will cover the following topics: Overview Your Instructor Required Materials Course Components Study Suggestions Grading System Academic Policies How to Begin Course Outline OVERVIEW MATH 231 is a first course in calculus. Topics include limits, differentiation and integration. The course is mainly problem-oriented. The course consists of twenty-eight sections. For each section you will read from the text, review the discussion notes, and complete an online homework assignment. The course also includes three tests you will take with pencil and paper and mail in, and a final exam that must be scheduled and supervised. Prerequisite: MATH 130 or an equivalent precalculus course. YOUR INSTRUCTOR See the course description for current instructor information. 1 of 5
REQUIRED MATERIALS See the course description for current information about required materials. COURSE COMPONENTS This course covers twenty-eight sections in your textbook, and the lessons are named with the section each covers. A link for each lesson can be found in the navigation bar at left. Each lesson includes a reading assignment, discussion notes, and assigned problems. You should start by reading the assigned section in the textbook, while considering the concept questions found at the beginning of the discussion notes. Work through all the examples. The Discussion contains my general notes on the section. I do not cover all topics in detail in the Discussion, but you are responsible for all material in the assigned section. Homework assignments will be administered through our WebAssign site. Instructions are included in the first lesson (Section 2.2). WebAssign assignments are open-book. You will have one to three attempts at answering each question correctly. The twenty-eight assignments on WebAssign will count for one-sixth of your course grade. Tests You will take three tests. They are not on WebAssign. They are Word documents you will print on paper and take at home with a time limit of 75 minutes. These are closed-book tests, no calculator and you must sign an honor pledge. You must show all of your work to ensure partial credit. Precise notation and correct logic is essential for credit. After taking each test, you will return it it to the Friday Center and I will grade and return the test. (Full instructions are included with each exam.) Final Exam The cumulative, closed-book, no calculator, three-hour final exam must be scheduled and supervised. When you are ready, you can schedule the exam through the Self-paced Courses office. Do not bring books, notes, a calculator or any device with Internet access to the exam. You must show your work for credit. Precise notation and correct logic is essential for credit. There are twenty questions on the final exam. No partial credit will be awarded. You must pass the final exam in order to pass the course. A passing grade on the final is 60 percent. STUDY SUGGESTIONS The following guidelines will help you achieve success in this course: Carefully read the corresponding section of the text before you attempt the problems. Be an active learner; keep paper and pencil handy while reading and follow along as example problems are solved. Carefully review all graded materials and rework problems that were not completed correctly. This will help 2 of 5
you avoid making similar errors in the future. Always remember that it is important to communicate mathematically when working problems for homework, a test, or the final exam. Write in a mathematical fashion using numbers, variables, symbols, and words to clearly express your solution to a problem. A solution to a problem includes not only the answer(s) clearly indicted, but also the logical progression of steps to achieve the answer(s). When applicable, clearly label all sketches, graphs, and/or charts. GRADING SYSTEM Your course grade will be determined by your performance on three components: the twenty-eight assignments, the three tests, and the final exam. Assignment Percentage WebAssign assignments (28) 17% (one-sixth of grade) Tests (3) 50% (one-half of grade) Final Exam 33% (one-third of grade) Grading will be on a ten-point scale. You must pass the final exam in order to pass the course. A passing grade on the final is 60 percent. Letter Grade Percent A 90 100 B 80 89 C 70 79 D 60 69 F Below 60 ACADEMIC POLICIES By enrolling as a student in this course, you agree to abide by the University of North Carolina at Chapel Hill policies related to the acceptable use of online resources. Please consult the Acceptable Use Policy on topics such as copyright, net-etiquette, and privacy protection. As part of this course, you may be asked to participate in online activities that may include personal information about you or other students in the course. Please be respectful of the rights and protection of other participants under the UNC-Chapel Hill Information Security Policies when participating in online classes. When using online resources offered by organizations not affiliated with UNC-Chapel Hill, such as Google or 3 of 5
YouTube, please note that the Terms and Conditions of these companies and not the University s Terms and Conditions apply. These third parties may offer different degrees of privacy protection and access rights to online content. You should be well aware of this when posting content to sites not managed by UNC-Chapel Hill. When links to sites outside of the unc.edu domain are inserted in class discussions, please be mindful that clicking on sites not affiliated with UNC-Chapel Hill may pose a risk for your computer due to the possible presence of malware on such sites. Honor Code As a Self-paced Courses Online student, you are responsible for obeying and supporting an honor system that prohibits lying, cheating, or stealing in relation to the academic practices of constituent institutions of the University of North Carolina. The honor system also requires you to refrain from conduct that significantly impairs the welfare or the educational opportunities of others in the University community. HOW TO BEGIN Since this course is not held in a classroom, I will probably never meet you in person. Still, I would like to know something about you so that I can associate each email message from you with something more than a screen name. Therefore, your first task is to send me a Personal Information Sheet: Save this Word Document to your hard drive, fill it out, and attach it to an email to me. This also gives us a chance to make sure our communication lines are working, and that we can send and receive attachments. Work in the order shown in the chart below. Each lesson covers one section in your textbook and contains objectives, a reading assignment, discussion notes, and assignments. Begin by clicking the link for Section 2.2 in the navigation bar at left. COURSE OUTLINE Section Title 2.2 The Limit of a Function 2.3 Calculating Limits Using the Limit Laws 2.5 Continuity 2.6 Limits at Infinity; Horizontal Asymptotes 2.7 Derivative and Rates of Change 2.8 The Derivative as a Function 3.1 Derivatives of Polynomials and Exponential Functions 3.2 The Product and Quotient Rules 3.3 Derivatives of Trigonometric Functions 3.4 The Chain Rule Test 1 3.5 Implicit differentiation 4 of 5
3.6 Derivatives of Logarithmic Functions 3.7 Rates of Change in the Natural and Social Sciences 3.9 Related Rates 3.10 Linear Approximations and Differentials 4.1 Maximum and Minimum Values 4.2 The Mean Value Theorem 4.3 How Derivatives Affect the Shape of a Graph Test 2 4.4 Indeterminate Forms and l Hospital s Rule 4.5 Summary of Curve Sketching 4.7 Optimization Problems 4.8 Newton s Method 4.9 Antiderivatives 5.1 Areas and Distances 5.2 The Definite Integral 5.3 The Fundamental Theorem of Calculus 5.4 Indefinite Integrals and the Net Change Theorem 5.5 The Substitution Rule Test 3 Final Exam: Schedule your supervised final exam. Please complete the course evaluation. We want to know if the course met your needs and expectations. The University of North Carolina Send comments and questions to fridaycenter@unc.edu. 5 of 5