MATH 2413 Calculus I Fall 2017 Instructor: Prof. Scott M. LaLonde Office: RBN 4005 Phone: (903) 566-7449 Email: slalonde@uttyler.edu (preferred method of contact) Office hours: Mon. & Fri. 1:20 2:20 p.m., Wed. 9:00 10:00 a.m., or by appointment. Scheduled lectures: Section 004 MWF, 2:30 p.m. 3:45 p.m. Location: RBN 4024 Course Webpage: All course information and documents will be available on Canvas. Textbook: Essential Calculus: Early Transcendentals, Second Edition, by James Stewart. (ISBN: 978-1-133-11228-0) Prerequisites In order to take this course, you must satisfy one of the following criteria: C or better in a college trigonometry class. (MATH 1316 or equivalent) C or better in a college precalculus class. (MATH 2312 or equivalent) Score of 710 or higher on the SAT (quantitative section). Score of 27 or higher on the ACT (math section). Course Description A study of functions, limits, continuity, differentiation, applications of the derivative, the definite and indefinite integral, and applications of integration. Student Learning Outcomes Upon completion of this course, students should be able to do the following: Discuss the solution to the tangent and area problems involving limits, derivatives, and integrals. (Communication, Critical Thinking) Use graphs of algebraic and transcendental functions to determine limits, continuity, and differentiability at a point. (Critical Thinking) Determine whether a function is continuous and/or differentiable at a point using limits. (Analytic, Critical Thinking) Apply differentiation rules to differentiate algebraic and transcendental functions. (Analytic, Critical Thinking) Choose appropriate calculus concepts and techniques to provide mathematical models of realworld situations and determine solutions to applied problems. (Analytic, Critical Thinking) 1
Compute definite integrals using the Fundamental Theorem of Calculus. (Critical Thinking) Recognize and discuss the relationship between derivatives and integrals using the Fundamental Theorem of Calculus. (Analytic, Critical Thinking, Communication) Assignments and Grading Online Homework Practice problems will be assigned daily via the online platform WeBWorK. You can access the homework assignments by going to the following link: http://math.uttyler.edu/webwork2/m2413_004_fall2017/ Your WeBWorK username is the same as your Patriots username. (For example, if your Patriots email is jdoe@patriots.uttyler.edu, your username is jdoe.) Your initial password is set to your student ID number I recommend that you change it immediately once you log in for the first time. WeBWorK accounts will be activated shortly before the first day of classes. A more detailed guide to using WeBWorK will be available on Canvas as well. In general, a new homework assignment will become available on WeBWorK after each class. Many problems will be similar to ones we ve done in class, but some will require additional thought. The assignment will be due by 2:30 p.m. (i.e., the beginning of class) two class days later. The WeBWorK system provides you with instant feedback on your answers, as well as unlimited attempts to complete most problems. You should use this to your advantage and do each assignment. When computing your final grade, I will use your total score on all the WeBWorK problems. For example, if there are a total of 150 problems throughout the semester, and you complete 120 of them, your homework grade will be 80%. Quizzes There will be short quizzes (10 minutes each) given periodically in class. Each quiz will be based largely on the homework assignment due on that day. The quiz will be given at the beginning of class; if you come to class late, you will not receive extra time. I will drop your lowest quiz grade, and the average of the remaining quizzes will be used to compute your final grade. No books, notes, or calculators are allowed on quizzes. In-class Activities We will occasionally have group exercises in class, where you will work together to further explore certain concepts or study applications of the current material. Your participation in these activities (which is counted essentially as credit/no credit) will contribute to your overall grade in the course. Exams There will be four exams during the semester, as well as a comprehensive final exam. All exams will be held in class with no books, notes, or calculators allowed. The tentative dates are: Exam 1: September 20 Exam 2: October 11 2
Exam 3: November 1 Exam 4: December 6 Final Exam: December 13, 2:45 4:45 p.m. Location TBD. Grading Your grade will be computed as follows: Assignment Total % WeBWorK 5 Quizzes 10 In-class activities 5 Exams 12.5% 4 = 50 Final exam 30 Total 100 Numerical Letter 90 100 A 80 89 B 70 79 C 60 69 D Below 60 F With the exception of your lowest quiz grade, all assignments will count when computing your final grade. In particular, I will not drop or replace your lowest exam grade. There may be occasional chances to earn bonus points via homework assignments or in-class participation, but you should not expect a significant amount of extra credit in this course. Course Policies Canvas You must activate your Canvas account and check it regularly. You can activate your account and log in at https://www.uttyler.edu/canvas. If you are registered for the course, then you should already have access to the Canvas page. All announcements and important documents will be posted there. Email In addition to Canvas, the preferred means of communication for this course is official UT Tyler email. If you email me, it needs to be sent from your Patriots account to my UT Tyler email address (slalonde@uttyler.edu). In the event that I need to contact you, I will send an email to your Patriots account, and I will assume that you have read any such message. Office Hours I have regularly scheduled office hours, which are set aside as time for you to come talk to me about the course. This should be your first course of action if you find that you are struggling. You should not be afraid to come ask me questions when you are studying or working on homework. This course moves quickly don t let yourself fall behind. If you are unable to attend my usual office hours, you can always set up an appointment or ask questions via email. 3
Attendance I expect you to attend class every day. Attendance is not officially part of your grade, but poor attendance will affect your grade indirectly. This class moves quickly, so it will be quite difficult for you to succeed in this course if you are repeatedly absent from class. In the event that you do miss class, you are responsible for catching up on the material that was covered that day. You are also responsible for any announcements made in class. Make-up Policy Make-ups will only be granted for excused absences that are required as part of a UT Tyler obligation, or for religious observances. You must notify me at least one week ahead of time and provide appropriate documentation. Other makeups are granted only in extreme cases and at the discretion of the instructor. Makeups will not be granted after the fact under any circumstances. MATH 2113 Lab Math majors and minors are required to take this lab. All others may take the lab, but it is not required. Anyone considering a math minor or double major is highly encouraged to take it. Supplemental Instruction and PASS Tutoring There will be weekly Supplemental Instruction (SI) sessions for Calculus I, led by Rowdy Dailey and Conrad Tumwesigye. The weekly times and locations for SI sessions are as follows: Sunday, 3:00 4:20 p.m. in RBS 2019 Monday, 2:00 3:00 p.m. in RBN 4034 Tuesday, 5:00 6:20 p.m. in RBS 2019 Wednesday, 6:00 7:20 p.m. in RBN 2011 In addition, the PASS Tutoring Center will hold tutoring sessions in UC 3114 most days throughout the semester. A schedule of times will be available on Canvas when it becomes available. Cell Phones, Calculators, and Electronic Devices When class is about to begin, place any electronic devices (cell phones, MP3 players, etc.) in silent mode and put them out of sight. You may use a laptop or tablet to take notes or consult the textbook (if you ve purchased the electronic version). If you are using these devices for other purposes, I will ask you to put them away. Calculators of any kind are not allowed on exams. Plagiarism and Academic Dishonesty Any work you submit must represent your own effort. If I determine that this is not the case, I will prosecute plagiarism and academic dishonesty to the fullest possible extent. All exams are closed book, with no books, notes, or calculators allowed. No help will be given or received. 4
Changes to Syllabus I reserve the right to make changes to the syllabus during the semester. Any changes to course policies will be announced in class, and an updated version of the syllabus will be posted to Canvas. Important Dates August 28: Classes begin. September 4: Labor Day holiday. No class. September 11: Census date. Last day to change schedule or file for grade replacement. November 6: Last day to withdraw from the course. November 20 24: Thanksgiving break. No classes. December 11: Study day. December 13: Final exam. University Policies Information on University policies concerning the following topics: UT Tyler Honor Code Students Rights and Responsibilities Campus Carry UT Tyler Tobacco-Free Policy Grade Replacement/Forgiveness and Census Date State-Mandated Course Drop Policy Student Accessibility and Resources Student Absence due to Religious Observance Student Absence for University-Sponsored Events and Activities Social Security and FERPA Statement Emergency Exits and Evacuation Student Standards of Academic Conduct UT Tyler Resources for Students can be found at http://www.uttyler.edu/academicaffairs/files/syllabuspolicy.pdf 5
Tentative Daily Schedule This schedule is subject to change as we move through the semester. Week Date Topics covered 1 2 3 4 5 6 7 8 9 10 11 8/28 Overview/Review Functions, modeling, and rates of change 8/30 1.3 Introduction to limits 9/1 1.3 The precise definition of a limit 9/4 Labor Day holiday no class. 9/6 1.4 Techniques for calculating limits 9/8 1.4 Techniques for calculating limits (continued) 9/11 1.6 Limits involving infinity 9/13 1.5 Continuity 9/15 2.1 Derivatives and rates of change 9/18 2.2 The derivative viewed as a function 9/20 Exam 1 9/22 2.3 Differentiation formulas: polynomials, exponentials, and trig functions 9/25 2.4 The product and quotient rules 9/27 2.5 The chain rule 9/29 Summary of differentiation techniques 10/2 2.6 Implicit differentiation 10/4 3.3 Derivatives of logarithms and general inverse functions 10/6 3.5 & 3.6 Inverse trig functions, hyperbolic functions, and their derivatives 10/9 Applications of derivatives in the natural and social sciences 10/11 Exam 2 10/13 2.7 Related rates 10/16 2.8 Linear approximations and differentials 10/18 3.7 Indeterminate forms and l Hopital s rule 10/20 4.1 Maximum and minimum values 10/23 4.2 The mean value theorem 10/25 4.3 How derivatives affect the shape of a graph 10/27 4.4 Curve sketching 10/30 4.5 Optimization 11/1 Exam 3 11/3 4.6 Newton s method 11/6 4.7 Antiderivatives 11/8 5.1 Areas and distances 11/10 5.2 The definite integral 6
11/13 5.3 Evaluating definite integrals 12 11/15 5.3 Evaluating definite integrals (continued) 11/17 5.4 The fundamental theorem of calculus 13 11/20 Thanksgiving break no classes 11/27 5.4 The fundamental theorem of calculus (continued) 14 11/29 5.5 Substitution 12/1 5.5 Substitution (continued) 12/4 Applications of calculus/special topics 15 12/6 Exam 4 12/8 Final review 12/13 Final Exam 7