MATH 1271: Calculus 1 COURSE SYLLABUS 11 June August 2012

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1 MATH 1271: Calculus 1 COURSE SYLLABUS 11 June August 2012 Lecturer: Ms. Jennie E Nash jnash@math.umn.edu Web Page: jnash Office Hours: MWF: 12:00-1:00 PM VinH 264 OR By Appointment Class Schedules: 1:25-3:20 PM; M, Tu, W, Th, F AkerH 313 Course Content & Description Calculus is derived from the Latin word for rock; people in ancient times used to do arithmetic with a pile of stones. Today, it is a branch of mathematics focused on limits, functions, derivatives, and integrals. This subject constitutes a major part of modern mathematics education. It has two major branches, differential calculus and integral calculus, which are related by the Fundamental Theorem of Calculus. Calculus is the study of change, in the same way that Geometry is the study of shape and Algebra is the study of operations and their application to solving equations. A course in Calculus is a gateway to other, more advanced courses in mathematics. Calculus has widespread applications in science, economics, and engineering and can solve many problems for which algebra alone is insufficient. Course topics: Tangent lines; limits and continuity; differentiation: definition, basic rules, chain rule, rules for trig, exp and log functions; implicit differentiation; rates of change, max-min, related rates problems; 2nd derivative test; curve sketching; linear approximation and differentials; L Hospital s rule; integration: definition, antidifferentiation, area; simple substitution; volumes of solids by cross sections and shells; average value of a function. Audience: The beginning of the standard course for students outside of IT. Also taken by IT students who need to start calculus in the middle of year. Students desiring only one semester of calculus should take Math Liberal Education: This course meets the Mathematical Thinking requirement needed for graduation from the university, no matter what your major. In it, you will develop your skills for thinking logically and quantitatively about many kinds of problems. In a very real sense, you will be doing what mathematicians do: start with problems that are initially stated in words, turn them into precisely framed mathematical problems, apply mathematical techniques to find solutions, and interpret the solutions in the context of the original problem. Some of these problems will come from real life, such as problems involving population growth and decay or gaming odds, and others will come straight from mathematics itself. Calculus is one of the pillars of modern mathematical thought, and has diverse applications essential to our complex world. Through this course, you will be exposed to theoretical concepts at the heart of calculus and to numerous examples of real-world applications. 1

2 Prerequisite: 4 yrs high school math including trig, OR grade of at least C- in [1151 or 1155], OR Pass the Placement Exam. Textbook: Calculus: Early Transcendentals, 7 th Edition by James Stewart Calculators/Cell Phones: You may find a scientific calculator useful in doing some of the homework problems, and on the quizzes and exams. However, GRAPHING CALCULATORS ARE NOT ALLOWED! The TI-30X IIS 2-Line Scientific Calculator will work quite well in this course. As a courtesy to me and your fellow students, please turn your cell phone off before class starts. The use of your cellphone as a calculator is also prohibited. Exams: There will be three 50-minute in-class midterm exams and a 2-hour final exam. The final exam will be a comprehensive exam over all the material covered in the course. All exams are closed book and notes, a legal calculator is allowed. All sections take the same final exam. Make-up Midterm Exams: Missing an exam is permitted only for very serious and unavoidable extenuating circumstances, and only if you notify your instructor in advance. Written documentation is required and arrangements must be made in advance. Otherwise you will get a score of 0 on the exam. Even if you are excused from taking a midterm exam, you will not be given a make-up. Instead, the following procedure will apply: at the end of the semester, two grades will be computed for a student who missed a midterm, and the highest of the two grades will be the one awarded for the class; the first grade will be determined by giving appropriate extra weights to the other two midterm exams, while the second grade will be determined by giving extra weight to the final exam. Except in truly exceptional situations, a student who misses the final exam will fail the course. There will be no make ups for missed quizzes. Homework: Homework will be assigned daily, but it will be neither collected, nor graded. The homework assignments are listed at the end of the syllabus. The quizzes and midterm exams will consist of problems similar to the ones assigned as homework. If you don t do your homework on a regular basis you should expect to do poorly in the course. Quizzes: A short quiz will be given during class every Wednesday and Friday (with the exception of exam days). No make-up quizzes will be allowed. However, the lowest quiz score will be dropped. Attendance: Attendance is strongly suggested for successful course completion. Attendance will not be taken on a regular basis. More Help: 1)... The SMART Learning Commons is the only source for extra (free) tutorial help. For further information, go to: smart.umn.edu 2) The Math department will publish a list of private tutors. 2

3 Grading: The course records will be kept in a numerical system. The letter grades, A to F will be assigned to the midterms, final exam, and of course, the course grade. The course grade is weighted as follows: The average of all quizzes counts for 20%. Each midterm counts for 15% (or 45% total). The final exam counts for 35% of the final grade. The final letter grade is assigned according to the Mathematics Department s grading policy for Math 1271, which applies to all sections. A grade of S requires a grade of C or better. Official University grading standards: A achievement that is outstanding relative to the level necessary to meet course requirements. B achievement that is significantly above the level necessary to meet course requirements. C achievement that meets the course requirements in every respect. D achievement that is worthy of credit even though it fails to meet fully the course requirements. S achievement that is satisfactory, which is equivalent to a C- or better (achievement required for an S is at the discretion of the instructor but may be no lower than a C-). F (or N) Represents failure (or no credit) and signifies that the work was either (1) completed but at a level of achievement that is not worthy of credit or (2) was not completed and there was no agreement between the instructor and the student that the student would be awarded an I (see also I) or (3) academic dishonesty in any portion of the academic work for a course shall be grounds for awarding a grade of F or N for the entire course. Incomplete grade: A grade of I will be given for failure to complete all course requirements for reasons beyond the students control. The minimum requirement for an incomplete grade is a substantial amount of course work completed at the level of C- or better. An I grade requires a written agreement between the student and the instructor. It also requires the completion of a form, which can be obtained in Vincent Hall 115. After 1 year, an I turns into an F if the course work is not completed. Any arrangement for an incomplete grade MUST be made before the final exam. FOR YOUR INFORMATION 1. Student with disabilities that affect their ability to participate fully in class or to meet all course requirements are encouraged to bring this to the attention of the instructor so that appropriate accommodation can be arranged. However, it is your responsibility to make arrangements at least one week in advance with disability services for alternate exam arrangements. Further information is available from Disability Services (Suite 230, McNamara Alumni Center or ds.umn.edu). 2. Scholastic misconduct is broadly defined as any act that violates the rights of another student in academic work or that involves misrepresentation of your own work. Scholastic 3

4 dishonesty includes (but is not necessarily limited to): cheating on assignments or examinations; plagiarizing, which means misrepresenting as your own work any part of work done by another; submitting the same paper, or substantially similar papers, to meet the requirements of more than one course without the approval and consent of all instructors concerned; depriving another student of necessary course materials; or interfering with another student s work. Such misconduct can have serious consequences, such as receiving a failing grade or dismissal from the university. 3. To drop the course For the various rules and deadlines for dropping this course, or any course, go to the Student One-Stop Home Page ( and click on the following sequence: (1) Under Calendars, Select:Cancel/Add and Refund Deadlines, (2) Under Cancel/Add deadlines by term, Select: Summer 2012, and voila, there are all the conditions and dates. Please note that I do not give the grade of W, that is between you, your adviser, and the Registrars Office! 4

5 Week Date Day Text Section I 6/11 M 2.1: 2, 3, 6, 7, 8 6/12 Tu 2.2: 6, 8, 11, 16, 20, 30, 38 a 6/13 W 2.3: 1, 2, 10, 12, 21, 23, 27, 30, 42, 50 6/14 Th 2.4: 1, 2, 3 6/15 F 2.5: 8, 18, 20, 40, 41, 51, 52 II 6/18 M 2.6: 6, 18, 20, 23, 24, 42 6/19 Tu 2.7: 4, 6, 16, 17, 18, 27, 31, 44 6/20 W 2.8: 2, 4, 7, 10, 12, 22, 26, 40, 44 6/21 Th 3.1: 8, 18, 19, 22, 34, 51, 54 6/22 F Exam 1 Ch. 2 III 6/25 M 3.2: 4, 6, 8, 32, 44, 50, 54 6/26 Tu 3.3: 2, 4, 12, 14, 16, 22, 39, 40 6/27 W 3.4: 8, 10, 20, 29, 30, 40, 46, 47, 54, 64, 65 6/28 Th 3.5: 6, 8, 10, 12, 18, 28, 36, 50, 56 6/29 F 3.6: 2, 6, 11, 12, 13, 24, 30, 34 IV 7/2 M 3.7: 2, 8, : 2, 4, 8, 9, 10, 19, 20 7/3 Tu 3.9: 4, 8, 10, 13, 14, 15, 16 7/4 W NO CLASS 7/5 Th 3.10: 2, 4, 6, 10, 12, 19, 22, 24, 28 7/6 F Exam 2 Ch. 3 V 7/9 M 4.1: 6, 8, 23, 24, 28, 30, 36, 42, 48, 50, 60 7/10 Tu 4.2: 2, 6, 8, 10, 12, 24 7/11 W 4.3: 8, 10, 14, 20, 26, 34, 46 7/12 Th 4.4: 12, 13, 16, 20, 28, 30, 42, 46, 57, 62 7/13 F 4.5: 2, 11, 12, 22, 48 VI 7/16 M 4.7: 12, 14, 16, 25, 34, 35, 46, 60, 70 7/17 Tu 4.8: 6, 8, 10, 14 7/18 W 4.9: 4, 12, 14, 20, 28, 34, 36, 40, 52, 53 7/19 Th 5.1: 2, 4, 14, 18, 24 7/20 F Exam 3 Ch. 4 VII 7/23 M 5.2: 34, 36, 38, 40, 43, 48, 50 7/24 Tu 5.3: 10, 14, 24, 28, 40, 42, 44 7/27 W 5.4: 10, 16, 30, 32, 34, 46, 60 7/26 Th 5.5: 4, 8, 14, 18, 20, 21, 28, 30, 44, 50, 78 7/27 F 6.1: 2, 4, 6, 8, 22, 26, 50 VIII 7/30 M 6.2: 2, 4, 8, 12, 14 7/31 Tu 6.3: 4, 6, 10, 14, 38, 40 8/1 W 6.5: 4, 6, 8, 10, 14, 15 8/2 Th REVIEW 5 8/3 F FINAL EXAM

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