MATH 0140 Spring Term 2019 Calculus I M W F 9:45 a.m. 10:52 a.m. 208 Fisher Hall Instructor: Office Hours: Textbook: Course Outline: Course Objectives: Prerequisite: Computer Software: Dr. Marius Buliga 103 D Fisher Hall 814-362-5092 buliga@pitt.edu M W 3:00-5:15 p.m. Thomas Calculus, by Thomas, Weir, and Hass, 12 th edition. This is the first course in the basic calculus sequence and is intended for all mathematics, engineering, and science students. We will study limits, continuity, the derivative and integral of functions of a single variable, and their applications. Students are responsible for all the homework assignments. Regular attendance is expected. The instructor reserves the right of giving pop-up quizzes if the class attendance is low. The use of phones is not allowed during the lectures, quizzes, or exams. Please bring a scientific calculator along with the textbook to class every day. The students will demonstrate an understanding of limits, continuity, differentiation and integration of functions of one variable. The students will also learn to compute areas, volumes and arc lengths using integrals. Math 0132 (Precalculus for Science Majors) with a grade of C- or better. Students might be given some hand-in homework assignments using Mathematica. Materials related to the course will be posted online at: http://www.pitt.edu/~buliga/m0140.html Study Suggestions: 1. Preview the material that will be covered in the class. 2. Always arrive at the classroom on time and never miss any class. 3. Take detailed classroom notes. Feel free to stop the instructor s lecture and ask questions when you have trouble to catch up. 4. Do a thorough review after class and finish all homework on time. Where to get help? 1. Go to the instructors office. 2. Go to the Mathematics Center (251 Hanley Library) to find a tutor. 3. Go to library to check out a solution manual. Homework: Although the homework will not be collected, doing the homework should help the students understand the material and perform better on the exams. The test and quiz problems are similar to the homework problems. Students need to go over the assigned problems. Help sessions will be given whenever needed. Grading: Your grade is determined by three one-hour exams (20% each), the final exam (20%), quizzes and computer labs (20%). The letter grade is determined using the following scale: A+ = 98-100 A = 92-97 A- = 90-91 B+ = 88-89 B = 82-87 B- = 80-81 C+ = 78-79 C = 72-77 C- = 70-71 D+ = 68-69 D = 62-67 D- = 60-61 F = Below 60 1
Tentative Class Schedule: Make-ups for missed exams are given only for documented valid reasons (e.g.: medical written excuse from a doctor, having to go to court that day). Buying a ticket to leave earlier for vacation or not waking up in time are not valid reasons. The instructor will take off 25% from the grade for any make-up exams (except for medical written excuses from a doctor). 1/7 2.1 Rates of Change and Tangents to Curves Homework: p. 44-46 1, 3, 5, 7, 9, 11, 13, 19 1/9 2.2 Limit of a Function and Limit Laws Homework: p. 54-57 3, 7, 9, 13, 15, 17, 19, 21, 25, 27, 29, 31, 39, 43, 47, 53 1/11 2.4 One-Sided Limits Homework: p. 71-73 1, 3, 5, 7, 11, 13, 15, 17, 21, 23, 25, 29 1/14 2.5 Continuity Homework: p. 82-84 1-22 (odds), 37,39,41 1/16 2.6 Limits Involving Infinity; Asymptotes of Graphs Homework: p. 94-97 1-10 (odds), 13, 15, 17, 23, 25, 37, 39, 41, 43, 49, 53, 55 1/18 3.1 Tangents and the Derivative at a Point Homework: p. 105-106 1, 5, 9, 11, 15, 17, 21, 23, 27 1/23 3.2 The Derivative as a Function Homework: p. 112-115 1, 5-16 (odds), 19-30 (odds) 1/25 3.3 Differentiation Rules Homework: p. 122-124 1, 3, 5, 11, 13, 17, 21, 23, 25, 29, 33, 35, 37, 41, 45, 49 1/28 3.4 The Derivative as a Rate of Change Homework: p. 132-135 1-10 (odds), 26 1/30 3.5 Derivatives of Trigonometric Functions Homework: p. 139-142 1, 3, 5, 9, 11, 13, 15, 19, 23, 25, 27, 29, 35 2/1 3.6 The Chain Rule Homework: p. 147-149 1-12 (odds), 15, 17, 25, 27, 31, 33, 35, 41, 43, 59, 67, 71 2/4 Review 2/6 EXAM I 2/8 3.7 Implicit Differentiation Homework: p. 153-155 1, 3, 7, 9, 11, 13, 17, 19, 21, 25, 27, 31, 35, 37 2
2/11 3.8 Related Rates Homework: p. 160-163 1, 5, 7, 13, 15, 23, 27, 31, 33 2/13 3.9 Linearization and Differentials Homework: p. 173-180 1-20 (odds), 23 2/15 4.1 Extreme Values of Functions Homework: p. 189-191 1-18 (odds), 21-32(odds), 37, 43, 45, 49, 51 2/18 4.2 The Mean Value Theorem Homework: p. 260-262 1-10 (odds), 19, 21, 27, 29, 33, 37, 41, 43, 45 2/20 4.3 Monotonic Functions and the First Derivative Test Homework: p. 201-203 1, 3, 7, 9, 11, 19, 21, 23, 33, 37, 41, 43, 45, 53 2/22 4.4 Concavity and Curve Sketching Homework: p. 211-213 1, 3, 5, 9, 11, 13, 15, 17, 19, 49, 51 2/25 4.5 Applied Optimization Homework: p. 219-225 1, 3, 5, 7, 13, 15 2/27 Review 3/1 EXAM II 3/4 & 3/6 4.7 Antiderivatives Homework: p. 236-239 1, 3, 9, 11, 13, 17, 21, 27, 29, 33, 49, 53, 55, 57, 59, 67, 69, 75, 79, 81, 93 3/8 5.2 Sigma Notation and Limits of Finite Sums Homework: p.261-262 1, 3, 7, 9, 11, 13, 15, 17, 19, 25, 33, 35 3/18 5.3 The Definite Integral Homework: p. 270-274 1, 3, 5, 9, 11, 13, 15, 19, 23, 29, 33, 41, 43, 49, 51, 55, 61 3/20 5.3 & 5.4 3/22 5.4 The Fundamental Theorem of Calculus Homework: p. 282-284 1-36 (odds), 41, 43, 45 3/25 & 3/27 5.5 Indefinite Integrals and the Substitution Method Homework: p. 290-291 1-40 (odds), 55 3/29 5.6 Substitution and Area Between Curves 4/1 REVIEW 4/3 EXAM III 3
4/5 5.6 Substitution and Area Between Curves Homework: p. 297-300 1-12 (odds), 17, 21, 23, 25, 29, 31, 37, 41, 43, 45, 51, 63 4/8 6.1 (Slicing) Volumes Using Cross-Sections Homework: p. 316 1-10 (odds), 13 4/10 6.1 (Rotation) Homework: p. 317-319 15-24 (odds), 33, 35, 37, 45, 47 4/12 6.2 Volumes by Using Cylindrical Shells Homework: p. 324-326 1, 3, 5, 7, 11, 13, 15, 17 4/15 6.3 Arc Length Homework: p. 330-332 1-10 (odds) 4/17 COMPUTER LAB 4/19 REVIEW 4/25 FINAL EXAM IN 208 FISHER HALL 3:00 p.m. 5:00 p.m. Classroom Civility: Every student brings to the classroom a unique point of view. Everyone has different experiences and different backgrounds. We tend to think and learn in our own way, based in part on our own social and cultural background. Therefore, we have all formed opinions and perspectives that may or may not be shared by others. However, we should all treat each other with respect and decency. In this course, we may look at controversial topics that can provoke strong responses. While I encourage students to engage in discussion about such, I also expect all students to do it with civility, respect, and integrity. To establish a comfortable learning environment, we must have mutual respect and civility. This includes coming to class on time, not disrupting the class with cell phones or pagers, and discussing things in an academic, rather than a personal manner. While in class, don t read the newspaper, listen to headphones, or catch up on sleep. Please don t start packing up books when there is time left in the class. It won t get you out any quicker. Let s all be nice, have a little fun, and learn! Academic Integrity: Members of the University community, both faculty and students, bear a serious responsibility to uphold personal and professional integrity and to maintain complete honesty in all academic work. Violations of the code of academic integrity are not tolerated. Students who cheat or plagiarize or who otherwise take improper advantage of the work of others, face harsh penalties. Copies of the complete Guidelines on Academic Integrity are available in the Office of the Dean of Academic Affairs. (232 Swarts Hall). Disability Statement: If you have a documented learning, physical or emotional disability for which you are or may be requesting an accommodation, you are encouraged to contact both your instructor and the Disability Resources and Services coordinator, Carma Horner (clh71@pitt.edu, 218 Hanley Library, 814-362-7609), as early as possible in the term. DRS will verify your disability and determine reasonable accommodations for this course. 4
e-mail Policy: All e-mail correspondence related to this course will be sent to your University of Pittsburgh student e-mail account. It is your responsibility to: Check this account frequently for new mail If you normally use a different account, forward your Pitt e-mail to the account you normally use via accounts.pitt.edu 5