COURSE SYLLABUS. Winter 2017 (Section AW, Item 3155)

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1 COURSE SYLLABUS M AT H & : C a l c u l u s I I Winter 2017 (Section AW, Item 3155) Instructor Erica Shannon Office: Rainier 348 Office hours: Monday, Tuesday, and Thursday from 1pm 3pm, or by appointment. eshannon@pierce.ctc.edu Phone: and phone responses may take up to 24 hours, or longer on weekends. Class Meetings MTuWThF 10:00am 10:50am in Rainier 468 Course Description This course will cover integral calculus. Topics include: Fundamental Theorem of Calculus. Definite and indefinite integrals. Methods of Integration. Applications of integration. Improper integrals. Introduction to first order differential equations. Prerequisite MATH& 151 grade of at least 2.0, or an appropriate placement score or equivalent. Text Calculus, Early Transcendentals (8th Edition) by James Stewart (ISBN ). The textbook is required for this course. You will generally not need to bring your textbook with you to class. The textbook is expensive! You can apply for a Peter Hartman Math Book Loaning Scholarship by visiting the Math department webpage and clicking on Peter Hartman Textbook Scholarship Application in the left sidebar. These applications are due on Friday, January 6, by 1:00pm. The Pierce College library may also have copies of the textbook available on reserve. At a minimum, we will cover the following sections of the text: Chapter 5 all sections; Chapter 6 sections 1, 2, 4, and 5; Chapter 7 all sections; Chapter 8 sections 1 and 2; Chapter 9 sections 1, 2, and 3. Calculator A graphing calculator is required for this course. I recommend the TI-84 or TI-84+; the TI-83 is adequate. The recommended calculator can be rented from the Pierce College Fort Steilacoom Library for $15 for the quarter (pay at the Cashiers, then go to library with receipt); this includes batteries. Another option is to request a graphing calculator loan from the Peter Hartman Math Book Loaning Scholarship (described above; applications due Jan 6 at 1:00pm). You will need to bring your calculator to class with you each day. If you need help using your calculator, come to office hours and I will help you figure it out. 1

2 Attendance & Participation Much of our in-class time will be spent engaged in active learning components. These components may include worksheets, discussion, student presentations of solutions, etc. Your attendance and contribution are critical for the success of these learning tools, so a part of your grade in this course will be based on your attendance, preparedness for class, and participation. WAMAP Homework This course will have online homework. Assignments and other resources will be on In order to join the course on WAMAP you will need the following data: Course ID: Enrollment Key: Winter2017 Set up your WAMAP account right away. The first assignment is due before class on Thursday, January 5! It is your responsibility to keep track of when WAMAP assignments are due. Because life occasionally intervenes, you also have a few LatePasses available in WAMAP, which extend the deadline of an assignment by 48 hours. Quizzes There will be frequent in-class quizzes. These will typically be announced in advance, but may also be unannounced. If you need to miss class, tell me as soon as possible; you may be able to take the quiz early. Make-up quizzes will generally not be permitted, except in extreme circumstances. In-Class Exams There will be three in-class exams. Tentative dates for these exams are below. Chapter 5 Exam (integrals) : Monday, January 23 Chapter 7 Exam (integration methods): Tuesday, February 21 Chapters 6 and 8 Exam (applications of integration): Friday, March 10 These exam dates may change! Any changes will be announced in class and via a message to the class in WAMAP. Exams may include calculator and no-calculator sections, and may include group work. Exams may have a take-home portion. If you have an unavoidable conflict with a scheduled exam, you must notify me right away in writing. I will do my best to accommodate you, but rescheduled exams are not guaranteed. If an emergency arises so you cannot speak to me before the exam period, you must leave a clear message on my or voice mail as soon as possible, and indicate how I can contact you. If you miss an exam (or miss the time arranged for a rescheduled exam) and do not contact me in advance, or explain your emergency right away, you will generally receive a grade of zero for that exam. 2

3 Final Exam There will be a final exam given during exam week at the two-hour time slot scheduled by the college. The final exam will be held in our regular classroom. The final will be cumulative over all of the material of the course. The final exam is scheduled for Wednesday, March 22, 10:00am noon. Grading Your course grade will be computed from: Attendance and In-class Participation % WAMAP Homework % Quizzes % Three In-Class Exams (15% each) % Final Exam % The following indicates how an overall percentage grade translates to a decimal grade in this course: % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % Syllabus Modifications I reserve the right to add, delete, or rearrange the course content or deadlines as necessary; you will be given reasonable notice of such changes. I also reserve the right to change any aspect of this syllabus at any time throughout the quarter. Any such changes will be announced in class and via a message to the class in WAMAP. Access and Disability Services Your experience in this class is important to me, and it is the policy and practice of Pierce College to create inclusive and accessible learning environments consistent with federal and state law. If you experience barriers based on disability, please seek a meeting with the Access and Disability Services (ADS) manager to discuss and address them. If you have already established accommodations with the ADS manager, please bring your approved accommodations (green sheet) to me at your earliest convenience so we can discuss your needs in this course. ADS offers resources and coordinates reasonable accommodations for students with disabilities. Reasonable accommodations are established through an interactive process between you and the ADS manager, and I am available to help facilitate them in this class. If you have not yet established services through ADS, but have a temporary or permanent disability that requires accommodations (this can include but not be limited to; mental health, attention-related, learning, vision, hearing, physical or health impacts), you are encouraged to contact ADS at (Fort Steilacoom) or (Puyallup). 3

4 Student Responsibilities (WAC 132K ) Students who choose to attend Pierce College also choose to actively participate in the learning process offered by the college. The college is responsible for providing an educational environment rich in the high quality resources needed by students to attain their educational goals. In return, the college has the expectation that each student shall assume responsibility for the following: 1. Become knowledgeable of and adhere to policies, practices, procedures and rules of the college and its departments; 2. Practice personal and academic integrity; 3. Respect the dignity, rights and property of all persons; 4. Strive to learn from differences in people, ideas and opinions; 5. Participate actively in the learning process, in and out of the classroom; 6. Refrain from and discourage behaviors which undermine the respect all Pierce College community members deserve; 7. Abide by the standards set forth in the student rights and responsibilities/code of conduct policy. Pierce College Student Code of Conduct: Academic Integrity Students are expected to work cooperatively with classmates on homework assignments and group projects. Please do your own work on all individual tests and quizzes. Be sure you have no unauthorized notes or help available to you during a quiz or test, and provide no unauthorized aids to any other student. Keep your eyes only on your own work and shield your work from the eyes of others. I expect that you will not cheat in this class. If cheating does occur, the student will receive zero points on the test, quiz, or assignment. A second offense may result in a grade of 0.0 for the course. 4

5 C o u r s e O u t l i n e M AT H & : C a l c u l u s I I Course Description Fundamental Theorem of Calculus. Definite and indefinite integrals. Methods of Integration. Applications of integration. Improper integrals. Introduction to first order differential equations. Course Content a) Techniques and concepts of integration b) Applications of integration c) Introduction to the concepts of ordinary, elementary differential equations Student Outcomes Techniques and concepts of integration 1. Apply the following techniques of integration to integrate polynomial, rational, and transcendental functions: Power rule, substitution, parts, partial fractions, numeric methods, and tables. 2. Evaluate definite integrals numerically, graphically, and with the Fundamental Theorem of Calculus. 3. Identify and evaluate improper integrals. 4. Apply the Fundamental Theorem of Calculus to find the derivative of integral functions. 5. Apply approximation techniques as a tool to estimate solutions and solve problems, and evaluate the accuracy of their answer using error formulas or other methods. Applications of integration 6. Compute the area under a curve and between curves using symbolic, graphical, and numeric methods and interpret the solution in the context of the problem. 7. Compute volumes of surfaces of revolution and other solids using integration. 8. Calculate the length of a curve using integration. 9. Calculate the average value of a function using integration. 10. Apply integrals to solve a variety of problems in physics, engineering, economics, chemistry, and/or biology. Differential Equations 11. Sketch and interpret direction fields. 12. Match graphical solutions to differential equations. 13. Solve and sketch solutions to ordinary, first-order differential equations for multiple initial conditions using numerical or graphical techniques. 14. Solve separable differential equations analytically. General Content 15. Write clear, correct, and complete solutions to mathematical problems utilizing proper mathematical notation and appropriate language. 16. Solve and analyze application problems that involve concepts covered in this course and in previous courses. 17. Use technology appropriately as a tool to solve problems. 18. Participate actively and responsibly in all course activities 19. Link graphical, numeric, and symbolic approaches when interpreting situations and analyzing problems. Degree Outcomes Quantitative & Symbolic Reasoning: Graduates utilize mathematical, symbolic, logical, graphical, geometric, or statistical analysis for the interpretation and solution of problems in the natural world and human society. Critical, Creative and Reflective Thinking: Graduates will evaluate, analyze, and synthesize information and ideas in order to construct informed, meaningful, and justifiable conclusions. 5

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