Math 151 Calculus I Fullerton College Spring 2023 Instructor: Leila Sayyadi, M.A. Office Hours: By appointment only Email: lsayyadi@fullcoll.edu Class Time: M, W 1:00-3:05 PM Room: 624 CRN: 22482 Textbook: James Stewart, Daniel Clegg, Saleem Watson, Calculus: Early Transcendentals, 9th ed., Cengage Learning Prerequisite: MATH 141 F, College Algebra, and 142 F, Trigonometry, with a special grade of “C” or better; or math skills clearance Course Description: This is a beginning calculus course covering limit and continuity, differentiation of algebraic, transcendental and inverse functions, applications of differentiation, antiderivatives, the definite and indefinite integrals. Student Learning Outcomes: • • • • Determine the value of a one-sided or two-sided limit analytically or graphically. Analyze a function to determine an appropriate method of differentiation and apply the method to determine the derivative. Analyze a function for continuity, relative extrema, intervals of increasing/decreasing, concavity, and/or points of inflection. Calculate the area between a curve and the coordinate axes using The Fundamental Theorem of Calculus and evaluate an integral using basic methods including substitution. Communications (Emails): All course announcements and emails are sent through Fullerton College email account. Therefore, you MUST check your FC email on a daily basis for the duration of the course. Please email me directly with any questions about the course. You can expect a response within 24 hours (except weekends). Please type Math 151 in the subject of your email. The body of your email must contain your full name. Class Attendance: All class sessions will be held face-to-face during the scheduled time by the university. Student presence in this course is mandatory. Daily class attendance is required and is important for your success in the course. Participation is also a VITAL component of this course. You are expected to participate within your groups and in any class discussion we have. I use the attendance policy created by the district and it is outlined on pages 17 and 18 in the college catalog. It states: “By direction of the Chancellor of Community Colleges of California, attendance shall be taken at all class sessions. Absences are handled as follows: 1 After a student accumulates in any class more than a week’s absences (more than the number of times the class meets per week), consecutive or nonconsecutive, an instructor may drop the student according to the drop deadline dates. Non-attendance or non-payment for a class does not release students from their responsibility to drop a class and may result in a failing grade being awarded.” I do not excuse absences, and if you miss a class session, you should make arrangements to find out what you missed out on as soon as possible from a classmate. No absence excuses a student from any assigned work. Arriving late twice or leaving early once counts as an absence. It is your responsibility to clear your schedule to not only attend every class session but also for scheduled exam dates. Do not make other obligations during these days and times. Do not ask me if it is okay to miss classes or that you have to leave early. Homework: Homework forms an important and integral part of every mathematics course. Start the homework for a section immediately after the section is covered in class. I will assign the homework daily. Homework assignments will be assigned from the book. NO late homework collected for any reason. For each assignment, some problems will be graded in detail for mathematical correctness, and some credit will also be given for the overall completeness and quality of the work, regardless of the correctness. Points in this category may be deducted for sloppy work, illegible writing, or poorly organized and difficult-to-follow steps. Some problems may require you to provide a written explanation, and this should be done carefully, using complete sentences. The homework is very important, and you should work hard at it and allow sufficient time to do a thorough job. You may work together with friends and get any help from me, provided your final solution write-up is done in your own words and is not merely copied. Format for turning in homework: a. Homework is to be done using a pencil only. b. Staple pages together prior to arriving to class on dates when homework is due. c. Print your name and your class time at the top right corner on the first page of each assignment. Quizzes: Quizzes may be scheduled with as little as one class period advance notice. There will be NO make-ups. If you are not in class during the time we take the quiz, you will receive a zero on the quiz and you will not be able to make it up. Please try to make it to class on time. Exams: There will be three ninety-minute midterm exams given in class on the dates indicated on the syllabus and a comprehensive one-hour-and-fifty-minute final exam given during finals week. See course schedule for exam dates. Calculators will not be allowed for exams. Additionally, no books, cell phones, smart watches, or other technology are allowed during exams. Headphones are also prohibited during exams. Answers without justification will receive no credit. The exams will be designed to test your understanding of the concepts being covered in the course. This means that the exams will not consist solely of problems that closely resemble homework problems. Instead, they may contain problems that combine two or more different concepts from different text sections or that test your understanding of a definition or theorem. Be prepared! No make-up exams will be given. In extreme cases documentation is needed, and the make-up exam must be taken before the exams are returned. Your lowest exam score will be replaced by your final exam percent (if better). This policy does not work for a missing exam. 2 Final Exam: One (1) comprehensive exam will be given during final exam week. All students are required to take the final exam at the same time. It is your responsibility to make any necessary arrangements to be available at that time. Class Policies: • Unless otherwise instructed, please put away cell phones, tablets, “smart” watches, or any other such devices during class time as this distracts you, other students, and the instructor. Electronic devices such as these are prohibited on all assessments, including quizzes and exams. Students violating this policy are subject to disciplinary action, including receiving failing grades on assessments or in the class, and being reported to the Dean of Students. • Failure to attend class on days with a quiz, exam, or in-class assignment will result in a zero grade. • If you would like to contest a grade on an assessment, you must notify the instructor within 24 hours of receiving the graded work. Course Grading: • • • • • Homework Quizzes Classwork 3 Exams Comprehensive Final Exam : : : : : 10% 10% 5% 50% 25% A 90.0 - 100% B 80.0 - 89.9% C 70.0 - 79.9% D 60.0 - 69.9% F 0.0 - 59.9% Calculators: A scientific calculator is required. Graphing calculators may also be used in the class, but you cannot use them during the quizzes and exams. Calculators will be used for selected topics. You are not allowed to use a cell phone as a calculator. RESOURCES FOR EXTRA HELP: 1. FC Math Lab: The Fullerton College Math Lab is a free resource available to you to help you succeed in your math courses. During all open hours, tutors are available. 2. FC Tutoring Center: The Tutoring Center located at LLRC 806 has free online tutoring throughout the semester. For more information, go to http://tutoringcenter.fullcoll.edu/ 3. The Math Success Program (formerly called FC MILES) is a FREE math program designed to strengthen your math skills and support your math course! For more information, go to the website: mathsuccess.fullcoll.edu. Academic Honesty Policy: Students are expected to abide by ethical standards in preparing and presenting material which demonstrates their level of knowledge, and which is used to determine grades. Such standards are founded on basic concepts of integrity and honesty. These include, but are not limited to, the following areas: 1. Students shall not plagiarize 2. Students shall not cheat 3. Students shall not furnish materials or information in order to enable another student to plagiarize or cheat. Instructors may deal with academic dishonesty in one or more of the following ways: 1. Assign an appropriate academic penalty such as an oral reprimand or point reduction. 2. Assign an “F” on all or part of a particular paper, project, or exam. 3. Report to the appropriate administrators, with notification of same to the student(s), for disciplinary action by the College. Such a report will be accompanied by supporting evidence and documentation. Repeated violations may result in students receiving an “F” in the course, suspension or dismissal from the College. 3 Americans With Disabilities Act (ADA) Statement: Fullerton College is committed to providing educational accommodations for students with disabilities upon the timely request by the student to the instructor. Verification of the disability must also be provided. The Disability Support Services office functions as a resource for students and faculty in the determination and provision of educational accommodations. Visit their website for more information: https://dss.fullcoll.edu/ Standards Of Student Conduct And Discipline Policy: The standards of student conduct and disciplinary action for violation of Board Policy 5500 were approved by the NOCCCD Board on January 28, 2003, and were drawn in compliance with Sections 66300, 76030, 76033, 76034, 76036 of the State Education Code. Students are expected to respect and obey civil and criminal law and shall be subject to the legal penalties for violation of the city, county, state, and national law(s). Student conduct must conform to Board Policy and college regulations and procedures. As cited in BP5500, “A student who violates the standards of student conduct shall be subject to disciplinary action including, but not limited to, the removal, suspension or expulsion of the student.” Students have an obligation to familiarize themselves with the College’s policies, rules and regulations and to conduct themselves in a reasonable, respectful manner, which is conducive toward attaining their educational goal. Upon registration, each student should obtain a copy of the College Policies and Regulations: Standards of Student Conduct and Discipline Policy. Contained therein are the policies approved by the Board of Trustees governing student behavior and the applicable penalties for violations of these policies. Copies are available in the Student Affairs Office, the Office of Equity and Diversity, all division offices, and the Student Services office. Instructor Wait Time: Due to unforeseen emergencies, if the instructor does not arrive at the scheduled start time for class, students are to wait for fifteen minutes, unless otherwise notified by the division. If the class does not receive notification to wait for their instructor to arrive, after 15 minutes the students may leave with no penalty for absence or assigned work due for that class meeting. EMERGENCY RESPONSE STATEMENT: Take note of the safety features in around the classroom. Also, please study the posted evacuation routes. The most direct route of egress may not be the safest. Running out of the building during earthquakes may be dangerous. During strong earthquakes, it is recommended to duck, cover, and hold until the quaking stops. Follow the guidance of your instructor. Your cooperation during emergencies can minimize the possibility of injury to yourself and others. COVID-19 POLICIES AND PROCEDURES: Vaccines and Boosters are strongly recommended but not required. Face coverings for employees and students at NOCCCD sites are greatly encouraged but not mandated at this time. Voluntary, on-site COVID19 testing will remain available to employees and students at Fullerton College in the spring 2023 semester. Please visit www.fullcoll.edu/return/ for up-to-date information. Important Dates Regarding Math Department Drop Policy: • February 3 (Friday): Last Day to File Audit • February 5 (Sunday): Last day to add classes. Also, last day to drop classes without a "W" and qualify for refunds • April 23 (Sunday): Last day to withdraw from classes • March 20 - 24: Spring Recess 4 Fullerton College Catalog And Class Schedule: The Fullerton College Catalog and the Class Schedule contain a number of policies relating to students that are important to you. Please be sure that you have read these publications thoroughly. You may purchase copies of these publications at the campus bookstore, or you may read them online at the Fullerton College website, www.fullcoll.edu. Grade Change/ Appeal Process: The College recognizes the legal right of faculty to set standards of performance and to apply them to individual students. Therefore, the instructor is the final authority in determining grades that are assigned to students and that appear in their permanent academic records. Students have a right to inquire how their grade was determined. Grievance/Grade Appeal Procedure can be found on: https://catalog.nocccd.edu/fullerton-college/college-policies-rules/grade-change-appeal-process/ Final Thoughts: I'm looking forward to working with you all this semester! I really want to help you learn the material and do well in the class. If you are having any problems or concerns with the class, I hope you will be comfortable talking to me about it. I'll do my best to give advice to keep you on track. To help me learn your names, I would like each of you to introduce yourself before asking or answering any questions during the first few weeks. This will help me get to know you, and it won’t take long. Have a great semester, and good luck. 5 Ask 4 of your classmates the following information, so if you miss a class, you will be able to contact them and know what sections we covered or what is expected from you to do for the next class meeting. Name: Name: Phone Number: Phone Number: Email: Email: Name: Name: Phone Number: Phone Number: Email: Email: 6 Math 151 Tentative Schedule Spring 2023 Date Day Lecture 1-23 M 1-25 W 1-30 M 2-1 W 2-6 M 2-8 W 2-13 M 2-15 W 3.2 The Product and Quotient Rules 3.3 Derivatives of Trigonometric Functions 3.4 The Chain Rule 2-20 M No Class, President’s Day Holiday 2-22 W Review 2-27 M Exam 1 3-1 W 3.5 Implicit Differentiation 3.6 Derivatives of Logarithmic and Inverse Trig. Functions 3-6 M 3-8 W 3.9 Related Rates 3.10 Linear Approximations and Differentials 3.11 Hyperbolic Functions 3-13 M 3-15 W 3-20 M No Class, Spring Recess 3-22 W No Class, Spring Recess 3-27 M 4.5 Curve Sketching 3-29 W 4.7 Optimization Problems 4-3 M Review 4-5 W Exam 2 4-10 M 4.9 Antiderivatives 4-12 W Appendix E 4-17 M 5.1 The Area and Distance Problems 4-19 W 5.2 The Definite Integral 4-24 4-26 M W 5.3 The Fundamental Theorem of Calculus 5.4 Indefinite Integrals and the Net Change Theorem 5-1 M 5.5 The Substitution Rule 5-3 W 6.5 Average Value of a Function 5-8 M Review 5-10 W Exam 3 5-15 M Final Review 5-17 W Final Exam Introduction 2.1 The Tangent and Velocity Problems 2.2 The Limit of a Function 2.3 Calculating Limits Using the Limit Laws 2.4 The Precise Definition of a Limit 2.5 Continuity 2.6 Limits at Infinity; Horizontal Asymptotes 2.7 Derivatives and Rates of Change 2.8 The Derivative as a Function 3.1 Derivatives of Polynomials and Exponential Functions 4.1 Maximum and Minimum Values 4.2 The Mean Value Theorem 4.3 How Derivatives Affect the Shape of a Graph 4.4 Indeterminate Forms and L’Hospital’s Rule 7