Calculus I MAT 181 Spring 2017 4.00 Credit Hours 5th Period Instructor Contact Information: Instructor: Ms. Nary Office Location: Room 208 Office Hours: 3, 6 orange, 7 orange Email: [email protected] Office Phone: (607) 865 - 4116 Required Textbook: Calculus for Scientists and Engineers by Briggs, Cochran, & Gillett Required Materials/Supplies: TI-30X IIS Calculator THIS IS NOT A GRAPHING CALCULATOR Course Information & Description: Course Description: A university parallel calculus course covering functions, limits and continuity. Differentiation and integration of polynomial, rational, trigonometric, logarithmic, exponential functions using computational and intuitive methods. Applications including curve sketching, rectilinear motion, related rates, maxima and minima. Summation, integration and the Fundamental Theorem of Calculus, and applications of the definite integral. Prerequisites: MAT 156 Algebra and Trigonometry for Calculus, or equivalent Requirements met by this course: This course prepares students to meet the Mathematics General Education requirement. Specific Learning Outcomes: Upon successful completion of this course the student will be able to: 1. Find limits using computational and intuitive methods. 2. Understand the formal definition of a limit. 3. Determine continuity of functions. 4. Find the derivative of a function using the limit definition. 5. Graph, differentiate and integrate polynomial, rational, trigonometric, logarithmic, and exponential functions, using computational and intuitive methods. 6. Find derivatives by the chain rule. 7. Find implicit derivatives. 8. Understand differentials and linear approximations and their relation to the derivative. 9. Understand the Mean Value Theorem and Rolle’s Theorem. 10. Set up and solve maxima and minima problems and related rate problems. 11. Use the first and second derivatives as aids in sketching curves. 12. Find antiderivatives. 13. Understand sigma notation and know that a definite integral is the limit of a Riemann sum. 14. Understand the Fundamental Theorem of Calculus. 15. Integrate by Substitution. 16. Apply the definite integral to problems involving area under a curve and area between curves. 17. Apply the definite integral to problems involving volume, curve length, and surface area. 18. Understand and solve elementary differential equations. Additional Learning Outcomes: In the context of the course objectives listed above, upon successful completion of this course the student will be able to: 1. Interpret and draw inferences from mathematical models such as formulas, graphs, tables and schematics. 2. Represent mathematical information symbolically, visually, numerically and verbally. 3. Employ quantitative methods such as arithmetic, algebra, geometry, or statistics to solve problems. 4. Estimate and check mathematical results for reasonableness. 5. Recognize the limitations of mathematical and statistical methods. Common Core Standards for Mathematical Practice: 1. Make sense of problems and persevere in solving them 2. Reason abstractly and quantitatively 3. Construct viable arguments and critique the reasoning of others 4. Model with mathematics 5. Use appropriate tools strategically 6. Attend to precision 7. Look for and make use of structure 8. Look for and express regularity in repeated reasoning Course Expectations: Success in this course is in your hands! We will be learning a large amount of material, and it is your responsibility to actively complete homework and classwork and seek help whenever necessary. You will need to study every night to master the material. You must practice, both inside and outside the classroom. It will be a lot of work, but together, we can and will succeed! Classroom Rules: 1. Be Prepared – bring all required materials and a ready-to-learn attitude everyday 2. Be Responsible – take responsibility for yourself and your education 3. Be Respectful – there is a zero tolerance policy for disrespectful speech and actions 4. Be Device Free – NO CELL PHONES, tablets, computers, music listening devices, etc Class Structure: Bell Ringer: Each class will begin with a Bell Ringer that you will start as soon as you enter the classroom. You will have up to 5 minutes to complete this activity and they will be used as a quiz grade at the end of the week. Go over homework/classwork/questions Discussion/introduction to new topic Lecture Classwork Review Materials Needed: Open Mind Positive Attitude Binder - at least 2 inches Loose Leaf Paper o A notebook is not recommended as we will be taking more notes than will fit in most notebooks Textbook - expected at every class Calculator – expected at every class Pencils and Erasers Index Cards (required) - we will be learning new vocabulary and formulas that you MUST memorize. As part of each test grade, you will turn in your flashcards and study materials. OPTIONAL: Colored Writing Utensils - to highlight important information/tips/tricks, for noting important steps in a long problem, and for adding little extras to your notes to help yourself along the way Academic Integrity: The student code of conduct will be enforced in this class. If anyone is caught cheating (actively or passively), the maximum allowable penalty will result. Your behaviors should not give anyone reason to suspect that you are benefiting from the work of someone else in order to succeed in this course. Cell phones must be silent during class. No texting during class. If there is an emergency situation that requires you to be accessible by phone, please speak to the instructor ahead of time and sit near the door so that in the event that you receive a call, the disruption to the class will be minimized. If your behavior is distracting other students from learning, you may be asked to leave. No audio or video recording is allowed in class without the written permission of the instructor. Extra Help: Do not procrastinate. It is my goal to ensure that all students are successful in my classes. As such, I am more than willing meet to provide extra help! I am free periods 1orange, 2, 7, and 8-black. Please feel free to contact me so we can schedule a time that works with both of our schedules. We are a learning community and can only achieve our goals by working together! Grading Policy: The department has set up the following grading scale Category Classwork Homework Quizzes/Formative Assessments Tests/Summative Assessments Percent 20% 10% 30% 40% Your grade will be calculated as follows: Grade Percentage A 93-100% A90-92% B+ 87-89% B 83-86% B80-82% C+ 77-79% C 73-76% C70-72% D 60-69% F Below 60% Classwork: I will be looking for you to actively demonstrate your understanding of the material by answering and asking questions, participating in classroom discussions and activities, and completing problems individually and as a group. I expect you to be on task at ALL TIMES. There will be assignments throughout the semester that will be completed in class that will also go into this category. Each day you will receive a grade out of 2 points. If you are not prepared, you lose one point. If you misbehave, you will lose one point. If you are asked to leave class due to a behavior issue, you will get a 0 for the day. Homework: Homework will also be assigned daily. Homework that is not turned in on time will be accepted one day late at 50%. It will not be accepted after that. Homework that is covered in class cannot be turned in late for credit. Homework will be posted on the district Homework Calendar each day it is assigned. Your success in this course will probably depend on how conscientiously you complete your homework. Quizzes: There will be at least one weekly quiz comprised of the Bell Ringer exercises. There may be other pop-quizzes at my discretion. Tests: There will be an exam after most topics. These exams will be closed books and closed notes. It will be entirely short answer problems, including vocabulary questions. If you are absent on the day of a test, you will have 48 hours from your return to make it up. After that, you will receive a grade of zero. Tests cannot be made up during class time. Attendance: Attendance is critical as the pace of the class is quite fast. You will miss a significant amount of material each day you are out. You are responsible for any and all material that you miss, as well as any assignments that were due and assigned. There is an attendance requirement from BCC. If you do not meet this requirement, you will not get credit for the course. Calculator: We will be using a TI-30x-IIs or similar scientific calculator in this course. You may not use graphing or cell phone calculators on a test or quiz. It is your responsibility to bring the appropriate calculator daily. Links to the following are provided on my webpage: SUNY Broome Academic Honesty Policy SUNY Broome Civility Statement SUNY Broome Non-Discrimination Policy SUNY Broome Academic Grievance Policy https://www.sunybroome.edu/student-academic-appeals-procedure Instructor Disclaimer This syllabus is intended to give the student guidance in what may be covered during the semester and will be followed as closely as possible. The instructor reserves the right to modify, supplement and make changes as the course needs arise in such a manner that will benefit the classroom environment.
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