Juniata College



MATH 130 Calculus ISpring 2018MWF 10-10:50am BAC C232T 12-12:50pm BAC C232Instructor:Dr. Kristin A. Camengacamenga@juniata.eduBAC-C108D641-3590First week Monday 9-10, 2-3Or by appointment.office hoursTuesday 1-3Wednesday 9-10, 3-4Office hours for the semester will be announced in class Friday 9-10as soon as they are finalized.I am usually not on campus on Thursdays, but am available by E-mail or for video call appointments. Course Description: An introduction to calculus including differentiation and integration of elementary functions of a single variable, limits, tangents, rates of change, maxima and minima, area, volume, and other applications. Integrates the use of computer algebra systems, and graphical, algebraic and numerical thinking.Course Materials:Calculus: Single Variable, 7th Ed. Hughes-Hallett, Gleason, McCallum, et al. If you intend to take Calculus II, you should buy the Single and Multivariable edition instead.Maple, a computer algebra system; you have access to this program through the AppServer and will need access to a laptop that you can bring to class.WeBWorK, a free online homework system. Our course can be accessed at , preferably a graphing calculator, but a scientific calculator is sufficient; you will need a calculator for homework, quizzes, and exams, and should use whatever you have and are accustomed to using. You may not use your cell phone as a calculator for quizzes or exams.Course Goals: You will develop a conceptual understanding of the derivative. You will be able to compute the derivatives of many different functions and be able to use the derivative in various applications.You will develop a conceptual understanding of the integral. You will be able to compute the integrals of many different functions and be able to use the integral in various applications.You will understand how to solve problems analytically, graphically, and numerically.You will be able to use the computer program Maple to help in the understanding of the mathematics, in particular using computational and graphical capabilities.You will grow in ability and confidence to communicate (read, talk, write) about mathematics.Institutional Learning Outcomes: Juniata College has adopted several Institutional Learning Outcomes. This course should help you develop and begin to demonstrate the following subset of those outcomes:Depth of knowledge in an academic field (mathematics)Analytical (and creative) thinking, critical questioning, and examination of evidenceIntellectual curiosity and an openness to exploring challenging questionsCourse Overview: This course is intended to help you learn the concepts and methods of calculus, one of the great inventions of western civilization, while continuing your development in mathematical reasoning and investigation. Derivatives and integrals help us model and analyze change, which is useful for many disciplines. While the methods of calculus are very important, deep understanding of the central concepts will allow you to adapt the methods of calculus to a variety of applications beyond this course. Therefore, you should work not just to learn how to use the methods of calculus to complete computations, but you should also look for connections among and between the key concepts of Calculus and learn the mathematical language that is used to communicate these ideas.In terms of our text, we will be working from the following:Chapter 1: 7-9Chapter 2: 1-6Chapter 3: 1-10Chapter 4: 1-4, 6-8Chapter 5: 1-4Chapter 6: 1-4Chapter 7: 1-2A tentative calendar is posted on Moodle. Topics are subject to change and daily assignments will be made in class and on Moodle.Course Moodle Site: You should enroll in the Moodle site for this class at moodle.juniata.edu. The enrollment code is calculus. You should check Moodle regularly, where you will find reading assignments, slides, written homework, Maple labs, and grades. Missing Class: If you must miss class, you are responsible for all material you have missed. You should demonstrate responsibility by contacting me, prior to class if possible, to let me know you are missing class. If you are missing class for an athletic event or other college-sponsored event, you are responsible for letting me know which dates you will miss class as soon as they are known; reminders just before the class missed are appreciated. Late work: In general,?no?late assignments will be accepted.? I work to return assignments as quickly as possible and need to have your assignment in hand to grade. You should turn in whatever you have completed by the due date to receive partial credit.? It is recommended that you not wait until the last minute to start the assignments and to try to get help.? Extensions may be granted in unusual circumstances.? If you will be away for a Juniata-sponsored event (athletic competition, field trip, etc.), you should contact me to make arrangements.Course Assignments:Reading: As part of your class preparation, you should read through the upcoming section prior to class, identifying key terms and methods and thinking about how it builds on what you already have learned. I will post reading guides for the sections, at least until the first exam. (You can refer to the calendar on Moodle, which will be kept up to date.) Follow guidelines from the Suggestions for Learning Mathematics at the end of the syllabus and the portion of the preface addressed to students in your text (p. xi)Attendance & Participation: Attendance at class is expected of every student.? Daily class sessions will be a mixture of lecture and lab activities, focused on learning specific topics. Full participation is crucial and includes active listening, taking notes, asking and answering questions, doing problems, and discussing work with peers. Practice Problems: You must do Calculus problems to learn how to do Calculus problems. We will do problems in class, but you will also need to practice independently. I am exploring which types of homework are most effective so there will be some variation in types of assignments over the semester and I will be asking for your feedback. However, most weeks you will have the following two types of assignments:WeBWorK: You will be given problem assignments in this online homework program, usually due on Wednesdays and Mondays. You can practice basic skills we have discussed until you master them. While answers are entered online, you should write out your work to solve the problems. I strongly recommend keeping your work together in a notebook for reference. Your results will also let me know which topics we should revisit in class. You will receive full credit if you earn more than 90% on these problems. Your login in and initial password are both your Juniata login (e.g. doejx17).Written Homework: You will be given a weekly problem assignment, usually from the textbook. The weekly assignment revisits the material of the past week, writing out problems as you will on exams, and including some more complex problems. It will also give you an opportunity to read complete solutions and check your work. Assignments will be posted on Moodle. Each homework assignment should be stapled or paper clipped and include a cover sheet, as will be explained in class. You should turn in an individual homework assignment and list any people you worked with at the top.Maple Assignments: Four to five assignments will be given that require you to use the computer algebra system Maple. Students are encouraged to work in teams of two. Teams are formed one assignment at a time and can be changed for later assignments.Quizzes: There will be 10 minute weekly quizzes, usually on Wednesdays (in weeks when there is not an exam), covering the same material as the problem assignment turned in the day before. These weekly quizzes are closed book and may include stating theorems or key formulas as well as doing problems. The lowest quiz grade will be dropped.Exams: There will be four midterm exams and a final. On each of these exams, you will be able to bring a 3”x5” notecard of notes and use your calculator (not a cell phone), but no additional resources such as textbook, notes, or cell phones. Tentative dates for the midterms are: Wednesday, February 14Friday, March 16Friday, April 13Wednesday, May 2 The final exam is Thursday, May 10 1-4 pm. If you cannot attend a scheduled exam (for a good reason), please see me as soon as possible to work out other arrangements. You may not take the final exam early because of travel plans.Grading: Grades will be determined in each of the following areas and then averaged using the weights below:Participation (below)5%Practice Problems 10% (WeBWorK and written homework)Maple Assignments10%Quizzes10%Midterm Exams40% (10% each)Final25%Your lowest midterm exam percentage will be replaced by your percentage on the final if this will improve your grade.Participation Grade: Your grade is determined by your self-reported participation scores: each day, you will pick up your participation paper from the front of the room, fill out the scores for preparation, attendance, and participation, and return the paper to the front of the room at the end of class. The two days with the lowest participation grades will be dropped for each student; this means you may miss two days of class without penalty, but that additional absences will affect your grade unless there are extenuating circumstances. I reserve the right to adjust participation scores if your scores do not match my observations, but will communicate with you about any changes.Grade cutoffs will be no higher than:A: 92 A-: 90 B+: 87 B: 83 B-: 80 C+: 77 C: 73 C-: 70 D+: 67 D:63 D-:60Withdrawal Policy: After Tuesday, January 30, 2018, you must have my signature to withdraw from the course.? At the time of your withdrawal, I will assign a grade of WP or WF, depending on your average in the course.? Unless there are extenuating circumstances (e.g. medical emergencies), the last day to withdraw is Monday, April 2, 2018, a week after the 2nd exam is returned. Honoring Every Individual: I believe deeply in the intrinsic value of each individual and I am committed to promoting your well-being, in class and out. It is my intent that the learning needs of every student be addressed both in and out of class, and that the uniqueness that each individual bring to this class be viewed as a resource, strength and benefit. I work to give opportunities to access the course content in a variety of ways, so that each student can reach their full potential, regardless of race, age, gender, sexuality, socioeconomic status, religion, or mathematical background. Your suggestions are encouraged and appreciated. Please let me know ways to improve the effectiveness of the course for you personally or for other students or student groups. In addition, if any of our class meetings conflict with your religious events, please let me know so that we can make arrangements for you. My commitment to your well-being also includes supporting and encouraging students, staff and faculty to take responsibility for safety on our campus. Please know you will be supported and heard if you have experienced any form of violence. Within our class meetings, all of us will learn better if we deeply respect and encourage each other. If we are safe from physical, verbal, and emotional harm, it is easier to take the risk of sharing our thinking, making space for deeper and more authentic learning. Technology Use: When in class, you are expected to be focused exclusively on course material. As such, any technology is to be used solely in service of learning. Laptops will be used for Maple, but it is expected that utilities such as E-mail, internet, instant messaging, etc. are not applicable. Laptops may be used to take notes, but the instructor may ask for a copy of the notes via E-mail. Disrupting class via use of the computer will be reflected in your participation grade.??Cell phones should be turned off during class. More restrictions apply during exams, as noted above.Academic Honesty: All members of the Juniata College community share responsibility for establishing and maintaining appropriate standards of academic honesty and integrity. Students oblige themselves to follow these standards and to encourage others to do so. Faculty members also have an obligation to comply with the principles and procedures of academic honesty and integrity as listed here through personal example and the learning environment they create.One of the strongest traditions in higher education is the value the community places upon academic honesty. Academic integrity is an assumption that learning is taken seriously by students and that the academic work that students do to be evaluated is a direct result of the commitment of the student toward learning as well as the personal knowledge gained. Academic dishonesty, therefore, is an attempt by a student to present knowledge in any aspect as personal when in fact it is knowledge gained by others.The official College policy on Academic Honesty, as described in the?Pathfinder,? can be found online at .? In order to attain a strong understanding of the course material, it is important that you personally work through all the assigned material. Collaboration with other students is strongly encouraged, since I believe that discussing mathematics with others is one of the best ways to articulate and clarify your own thoughts. However, no copying is allowed, you must write up your solutions independently, and any ideas should be attributed to their proper sources, whether drawing from book solutions, online sources, collaboration or your own personal problem solving. Many textbook problems will have solutions posted on Moodle; you should make an honest attempt at the problem before consulting the solutions and then work to understand completely and write out your own solution. The associated penalty for an academic honesty violation will be based on the nature and seriousness of the offense, ranging from an official warning, a reduced or failing grade for the assignment, to a reduced or failing grade for the course.Accommodations: Juniata College is committed to providing equitable access for learning opportunities to students with documented disabilities (e.g. mental health, attentional, learning, chronic health, sensory, or physical) under the American Disabilities Act. To ensure access to this class, please contact Patty Klug, Coordinator of Disability Services, at klugp@juniata.edu or at 814-641-5840 to engage in a confidential conversation about the process for requesting reasonable accommodations in the classroom. Accommodations are not provided retroactively, so students are encouraged to register with the Disability Services preferably by the start of the semester and before the Drop/Add period; however, requests can be made at any time. Note that students must obtain a new letter of reasonable accommodation for every semester and must meet with each faculty member prior to implementation in each class. Students are strongly encouraged to deliver letters of reasonable accommodation during faculty office hours or by appointment.Resources: Each other: I expect that you will collaborate with each other to understand course material, both in and out of the classroom. Find one or two people you can work with regularly. Persist until you understand for yourself and give credit to those with whom you worked.Textbook: Please read the textbook! Our textbook has many completely worked out examples and reasonably good explanations. However, the textbook is not a novel and you will need to read carefully and reread. Use the Suggestions for Learning Mathematics!Homework Solutions: Any textbook problems have solutions which are posted on the P: drive in the folder Academic/CALC1/7th edition Homework Solutions. You should always try to work the problems on your own first, using your book, notes, and peers. Office Hours: If you have any questions about your work in the course, please come to one of the office hours that are listed at the top of the syllabus. There is no need for an appointment – just drop in! Even if someone is in my office, let me know you are there and I can probably work with multiple people at once. When you come, bring your book, notes from class, and any work you have. You should have made a “good faith effort” prior to coming, which should include writing down the problem and any ideas (theorems, processes, similar problems) related to the problem. You should try to frame one or two questions to ask. If you are unable to attend, please make an appointment via E-mail or in person! (I am not usually on campus on Thursdays, but am available for E-mail or video call appointments.)Math Drop-In Sessions: If you are struggling with the course material, you are encouraged to attend the Math Drop-In sessions provided by the Office of Academic Support. This is a great place to find someone else to work with even if you don’t have questions yet! And if you do have questions, there are upper level math students there to help you! The drop-in sessions are scheduled in BAC C109 at the following times, starting on January 28th: Sunday 4-6pmTuesday 7-9pmThursday 6-8pmOnline resources: There are several online sources for learning calculus. They do not follow the same exact order that our text and class do, but here are some options you might consider for videos and additional worked problems:Paul’s Notes - nicely written notes and examples that are reasonably comprehensive. Mathematics - tutorials with questions and answers you can reveal so you can try it for yourself. Videos - Khan Academy, Math TV, and patrickJMT channels all have a number of calculus videos. There are many other sources, including some colleges that have videotaped calculus lectures and posted them! (If you ?nd another source you like, I’d love to know about it!)Suggestions for Learning MathematicsMathematics is best learned by doing it! If you just watch someone else do a problem, you may be surprised how much harder it is when you try to attempt a problem on your own. You must engage in the material yourself to understand and retain the concepts. Memorizing ways to do certain problems is more difficult than working to understand the material so that you can apply your knowledge to new problems in new settings.Remember that this is a four-credit class, so the well-prepared student should expect to work on coursework for 8-12 hours outside of class. If you have not taken math for a while or are not fluent with some of the prerequisite material, you should expect to spend more time. You should be honest with yourself about how much time you’re focusing on Calculus – it might be helpful to log your work time.Here are some suggestions for how to learn well in Calculus:ReadingA math textbook is not like a novel and takes more time and effort to read. Read with a pencil and paper and expect to flip back and forth. Identify key terms and work through the details of the examples. Look back to definitions and theorems that are used to check the work for yourself and cement connections. Ask yourself questions about the reading and try to answer them (e.g. Where did that number come from? Why does it make sense to do that step next? How does this connect to the last section?); the answers will frequently require you to do some computation or flip through the book. Write down all definitions and theorems from the section. Do this in an organized way so you can easily access them later – perhaps a separate section in your notebook or flashcards. This will make it easy to access these for studying.Write down any questions you have and bring them to class, whether they relate to something you don’t understand or something that has piqued your curiosity. Ask these questions if not otherwise addressed. If you still have questions, come to office hours.Remember that there are reading guides posted on Moodle!Class & StudyingAttend class and actively participate: take notes, ask questions, try problems, talk with other students. As we do examples together try to anticipate the next step so that you will be more independent in doing the problems yourself.For purposes of studying, I recommend keeping a single notebook where you keep notes and write down the work for all homework and classwork problems. You may find it helpful to make these different sections. Label which section the problems are related to and the numbers for later reference. (If you have small notebooks, you may need separate notebooks for homework and classwork.)After class, review your notes and reread the section in the textbook carefully. Try the problems on your own and then check your work against what is in your notes or the book! Remember that just looking through someone else’s steps will not cause you to be able to do the problems yourself.Practice definitions and theorems. In mathematics, almost every word has meaning and you should work to understand why every word is in the definition. Formulas need to be memorized exactly. You can make yourself flashcards (there are programs for cell phones and tablets, too) and practice the definitions and theorems regularly. It is a good idea to include examples on your flashcards as well.The best way to study for math is to do problems regularly. If you are regularly doing problems and reviewing your notes, there will be less work to prepare for an exam. In addition to daily work, you can study for an exam by making your notecard for the exam – determine which definitions, formulas, and algorithms are most important. Try to write these as concisely as possible and see if you can remember them without the notecard. One of the main ways an exam is different from daily homework is that you need to recognize which type of method to use; to help you can try to work problems from the chapter review or work with peers to pose each other problems.Working ProblemsMake sure to start your work early and spread out your work over time. The ideal schedule for working math problems is to work an hour or two each day since this helps you remember the techniques - you are building mathematical muscle and need repetition. Also, if you have started work, sleep for the night, and work again the next day, your brain will frequently have made progress on the problem while you sleep! So it is best to start the problems for the next class the same day as class and then come back to any problems you were stuck on the next day. Write down your work. Don’t expect to hold it all in your head. Writing even one step can help you figure out the next step. I expect you to have written work before you come to office hours, even if it is just writing out the problem.Work through the assigned problems. I strongly recommend starting problems as soon as they are posted so there is plenty of time to ask questions. Try them on your own and then talk through them with a friend, perhaps at the math drop-in sessions. Go back to your notes and textbook examples for models and try to explain each step of the solution. Then try to apply this to your own problems. For any problems that are to be turned in, rewrite your scratch work so it is neat and you can see the techniques used in the problem. Celebrate being stuck – this is an opportunity for learning! If you are stuck, look back over your notes, then try again! Talk about the problem with someone else in the class, perhaps during math drop-in sessions. If you are still stuck, look at any solutions on Moodle. Try to look just at the next step, understand why it makes sense, and try to proceed from there to complete the problem on your own.If you do not understand the solutions or are not confident that you could do a similar problem, come to office hours and ask Kristin questions. Do not expect that she will tell you exactly how to do the problem; rather, expect a conversation about the problem that helps you better understand what the problem is asking and how you can approach it. If someone shows you exactly how to do a problem that won’t help you think through all the concepts for deeply understanding the material and you won’t know how to approach a similar problem – maybe on an exam. (This is also a good idea to keep in mind when helping a classmate!)Stick Together. Stick with it. ................
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