Course: MATH 151 Calculus I Summer 2017 Credits - 5

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1 Course: MATH 151 Calculus I Summer 2017 Credits - 5 Course Description: Families of algebraic and transcendental functions and their derivatives. Limits, including indeterminate forms. Applications of differential calculus and anti-derivatives. Course Information Location: Brouillet Library/Science Building (LSC) 111 Meeting times: Tuesdays and Thursdays 8:00AM 10:50 AM Course Requirements Prerequisite: MATH& 142 with a grade of at least 2.0 or satisfactory placement test score or instructor permission Instructor: Alan Man Office: College Center (CTR) 290N aman@pierce.ctc.edu Phone: (253) would be the easiest way to reach me if unable to attend office hours. Office hours: Monday Tuesday Wednesday Thursday Friday By Appointment 2:00PM 3:00PM By Appointment 2:00PM 3:00PM By Appointment Check LSC 173/174 if you can t find me Open door policy: Stop by if quick question. May be busy. Tutoring: SI Tutor: Eric Pospisil Tutoring Center College Center (CTR) C170 Course Website: All pertinent information will be on the Canvas webpage. Homework and supplementary material will be posted. Required Text: Stewart J. Calculus: Early Transcendentals. 8 th Edition. ISBN-13: Older editions are acceptable for material. Learning Objectives: Limits and Continuity 1. Determine limits of functions at real numbers and at infinity using graphical, algebraic, and numerical techniques. 2. Define continuity and determine the continuity of a function graphically and analytically. 3. State and explain the limit definition of the derivative and determine the differentiability of a function. 4. Use the limit definition of the derivative to find the derivatives of polynomial and rational functions. Derivatives of algebraic and transcendental functions

2 5. Calculate the derivatives of polynomial, rational, exponential, logarithmic, trigonometric, and inverse trigonometric functions by use of the basic rules of differentiation including the product, quotient, and chain rules. 6. Calculate derivatives of functions defined implicitly. 7. Calculate slopes of parametric curves. Applications of Derivatives 8. Determine average and instantaneous rates of change algebraically, graphically, and numerically, and interpret the rate of change in the context of the problem. 9. Determine the equations of tangent lines. 10. Given the graph of a function, sketch the graph of the first and second derivatives, and given the graph of a derivative, sketch a graph of a possible function. Interpret these graphs in the context of the problem. 11. Apply differentiation to solve applications, including optimization, curve sketching, and related rates, in a variety of fields. 12. Calculate linear approximations and/or differentials, and use them to solve problems such as approximating function values and/or calculating uncertainties. 13. Apply L Hospital s Rule to calculate limits of indeterminate forms. Anti-derivatives 14. Obtain anti-derivatives of polynomial, basic exponentials, basic trigonometric and reciprocal functions. 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. Expectations: 1. Lectures: Students are expected to attend all classes. In the classroom, lectures will be given on the course material. Background reading in the book should be read before class. Lectures will present fundamental theories and concepts that will be utilized throughout the course. They will provide the basis for future lectures. In lecture, material that will be on the homework and tests will be covered extensively. Examples that are similar to what is seen in homework will be done. Tests will also be given in lecture. 2. Outside of class: Students need to spend time outside of class as well in order to do well in this class. For every 1 hour of class, students should spend on average up to 2 hours outside of class. Before class, students should read the sections that will be covered to familiarize him/herself with the material. 3. Office Hours: If one finds him/herself struggling, PLEASE COME ASK FOR HELP!!! I will hold office hours (see above). Students should come to office hours for help with problems or concepts explained in class. Please come to office hours prepared and at least have attempted the problems. Other resources are available at the tutoring center and on Canvas. 4. Homework, Quizzes and Tests: In all graded work, explain your train of thought by writing clearly, orderly and legibly. All steps needed to solve a problem must be written out. No points will be given for the correct answer but no work. It is also easier to give partial credit if all steps are written even if the final answer is incorrect. a. One of the best ways to learn the material is through practice 5. Study Groups: Students are encouraged to form study groups and work together on homework problems. However, every student is required to turn in his/her own work. Blatant copying will result in a score 0 for the assignment. Collaborative learning is great for helping students who are struggling with the material. It also helps students who are performing well to better understand the material by having to explain it to another student. The best way to learn something is to teach. Frank Oppenheimer. 6. Late work: All late work without a valid excuse is a 0 on that assignment.

3 Evaluation: 1. Attendance and Participation Students are expected to attend all lectures and participate in exercises. We will go over many of the book examples during the lecture. Problems will be given that are relevant to concepts taught in class that day. This is to ensure class attendance and also promote collaborative learning. Exercises may be turned in. 2. Quizzes Low-stakes quizzes will given weekly (Tuesdays or Thursdays, depending on test day). Quizzes will take minutes and will be similar to homework problems. They will help ensure everyone is keeping up with the material. The lowest quiz grade will be dropped. 3. Tests Tests will be given every few weeks to assess your progress in the course. They will cover material after the previous test to the test date. 4. Homework Homework will be assigned weekly and will be due on Thursdays. Homework provides students an opportunity for practice. About 10 problems will be assigned and graded, and more will be assigned for extra practice. Problems similar to the extra practice will be tested as well. The lowest homework grade will be dropped. 5. Final Paper A project will consist of a short written report on the application of Math in the real world. More details later in the quarter. 6. Comprehensive Final The final will cover the whole quarter with an emphasis on material not tested. The final is scheduled for Thursday, August 24 th. Course Grading: Quizzes (4 of 5) 15% Tests (3) 42.5% Homework (7 of 8) 15% Final Paper 5% Final Exam 22.5% Homework Guidelines: Each student must submit his/her own work. No credit will be given for no work. Not all problems will be graded. 1. Homework must be done on white computer paper. No lined paper. a. If using engineering graph paper, only write on one side. Side with lighter lines. 2. Presentation is considered in grading. Space problems out. 3. Include a sketch of problem if needed and follow procedures to solve problem. 4. Circle the final answer. Round to 3 decimal places. Include units. 5. Please staple all sheets together. Quizzes, Tests and Final Guidelines: Just as in homework, all work must be shown for full credit. Students can have 1 page of notes. Must bring a scientific calculator and writing utensil. Code of Academic Conduct: The student is in the unique position of being a member of the community at large, having the rights and responsibilities of any citizen, and of being a member of the college community. Admission to Pierce College carries with it the expectation that students shall conduct themselves as responsible members of the Pierce College community; that they shall observe the standards of conduct, respect the rights, privileges and property of other members of the academic community, shall maintain a high standard of integrity and honesty; and shall not interfere with legitimate college business appropriate to the pursuit of academic goals. The student's success is dependent on the district fostering a positive district-wide climate that supports learning, communication, recognition and collaboration among a diverse faculty, staff and student body.

4 As an agency of the state of Washington, Pierce College must respect and adhere to all laws established by local, state and federal authorities. Pierce College also has developed a set of rules and regulations to ensure the orderly conduct of the affairs of the district. These rules and regulations, if violated, may result in student discipline in accordance with the procedures established in the student code of conduct. 1. Academic dishonesty means plagiarism, misrepresentation of self or student work product or representation of work of others as your own, or other acts of academic dishonesty. 2. Cheating includes, but is not limited to: A. Use of any unauthorized assistance in taking quizzes, tests, or examinations; writing papers, preparing reports, solving problems, or carrying out other assignments; or B. The acquisition, without permission, of tests or other academic material belonging to a member of Pierce College faculty or staff; C. Allowing one person to represent another person as the enrolled student in any course; D. Representing oneself as another person in any course. Any work that violates this code of conduct will result in a score of 0 for the assignment. Repeat offenders will be reported to the judicial committee. Please familiarize yourself with Pierce College s Student Rights and Responsibilities and Student Code of Conduct: Students with Disabilities: 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). Voice: TTY: Fax: PYADS@pierce.ctc.edu Located in A160 Counseling (Summer Schedule) Jennifer Wright, LMHC Megan Irby, LMHC Faculty Counselor Faculty Counselor JWright@pierce.ctc.edu MIrby@pierce.ctc.edu Monday through Thursday July: 8:00AM-4:30PM Monday Tuesday Wednesday Thursday Puyallup Puyallup

5 August: 9:00AM-5:00PM Monday Tuesday Wednesday Thursday Puyallup Puyallup Puyallup Gaspard Building, A106H Located in the Student Success Center 301A Cascade Welcome Center If there is an emergency or need on a Friday, contact Pierce County Crisis line at Oasis Center Oasis transforms the lives of queer youth by creating a safe place to learn, connect, and thrive. Oasis envisions a world in which queer youth are valued in the community as strong, creative leaders. Oasis is the only drop-in and support center dedicated to the needs of LGBTQ youth ages in Pierce County. We are a youth-adult partnership in which youth and adults come together for shared teaching learning and action! Office Phone: Emergency Cell Phone: (253) Class Policies: 1. Re-grades 10 days after graded homework/tests/quizzes are returned, the grade becomes final. Any requests for re-grade must be made within those 10 days. All requests should be given to me. The student needs to write an explanation for every problem describing why he/she should get more points. Keep in mind that anything can be re-graded, so one could lose points. 2. Missed Quizzes, Tests or Extension on Assignment A missed quiz/test/assignment without a valid reason must be taken on the same day for makeup. One missed quiz/test without a reason will substituted with your uncurved Final Exam grade. Any more will be given a 0. Only reasons involving major medical incidents and grave family emergencies are valid excuses. Students must provide appropriate documentation, i.e. doctor s note, etc. If possible, please notify me at least 1 week in advance of any possible conflicts. Quizzes and tests must be taken before the regularly scheduled date if conflict is known. 3. Student Activities Students participating in official athletic, musical, theatrical or similar events that will cause them to miss an exam or quiz must contact the instructor 1 week in advance. Documentation must be provided that explains absence, i.e. have the coach/instructor contact me directly.

6 Tentative Course Schedule (May change as the quarter progresses): Lecture Week 1 7/3 2 7/10 3 7/17 4 7/24 5 7/31 6 8/7 7 8/14 8 8/21 Topics Covered TR: Introductions, The Tangent and Velocity Problems, The Limit of a Function o Reading: , M: Last day for 100% refund T: Calculating Limits Using the Limit Laws, The Precise Definition of a Limit o Reading: TR: Continuity, Limits at Infinity o Reading: T: Derivatives and Rates of Change, The Derivative as a Function o Reading: o Last day to register with instructor signature o Last day to withdraw so class will not show on transcript o 50% refund ends TR: Test #1, Derivatives of Polynomials and Exponential Functions o Reading: 3.1 T: Product and Quotient Rules, Derivatives of Trigonometric Functions o Reading: TR: Chain Rule, Implicit Differentiation o Reading: T: Rates of Change in the Natural and Social Sciences, Exponential Growth and Decay o Reading: TR: Test #2, Related Rates, Linear Approximation and Differentials o Reading: 3.9 M: Last day to withdraw T: Linear Approximation and Differentials, Maximum and Minimum Values o Reading: TR: How Derivatives Affect the Shape of a Graph, Indeterminate Forms and L Hospital s Rule o Reading: T: Summary of Curve Sketching, Graphing with Calculus and Calculators o Reading: TR: Test #3, Optimization Problems o Reading: 4.7 T: Antiderivatives o Reading: 4.9 TR: Final Exam

Math 181, Calculus I

Math 181, Calculus I [Semester] [Class meeting days/times] [Location] INSTRUCTOR INFORMATION: Name: Office location: Office hours: Mailbox: Phone: Email: Required Material and Access: Textbook: Stewart,