Prerequisite: Math 75.

Hours: 4.

Text: Calculus, Volume 2, Strang and Herman, OpenStax, 2016

Catalog Description: No credit if taken after MATH 77. Prerequisite: MATH 75 or MATH 75A and B. Techniques and applications of integration, improper integrals, conic sections, polar coordinates, infinite series. (3 lecture, 2 activity hours)

Course goals
Upon completion of this course, students should be able to comprehend:

• some standard techniques of integration such as:
  • integration by parts,
  • trigonometric substitutions,
  • partial fractions,
• improper integrals,
• physical applications such as:
  • area between curves,
  • volume by slicing and by shells,
  • length of curves,
  • surface area,
• infinite series, radius of convergence, and various convergence tests,
• power series and Taylor expansion,
• parametric equations and polar coordinates,
• conic sections.

Learning Outcomes
Upon completion, a successful student should be able to

• set up and evaluate areas and volumes as an integral,
• compute a bigger range of integrals than in Calculus I,
• define an infinite series, analyze its convergence,
• define a power series and indicate its interval of convergence and examine its representation as an algebraic or a transcendental function,
• study in the calculus sense, curves in polar coordinates,
• compute the volume of solids of revolution by slicing methods.

Grading policy: Your grade for the course will be based on your performance on exams, quizzes, homework, and class activities. These categories are weighted as follows.

Homework will be assigned for each section. It is due a few days after the material is covered in class. To receive credit, you must show all your work, make sure your reasoning is clear, provide justifications when necessary, etc. Just an answer will not receive credit. A small number of randomly selected problems will be graded. It is very important to do all homework diligently in order to learn the material. If you are having trouble with your homework, get help from your classmates, instructor, and/or tutors. However, your homework must be your own work. No copying is allowed (copying will be considered cheating).

Class attendance is required. In addition to new material, important course information will be given in class, and sometimes quizzes will be administered. Please do not be late. The class will start on time. Pay attention. Stay on task. Please put away any phones and other distracting gadgets. Take notes. No recording or taking pictures are allowed during class. Questions addressed to the instructor are welcome at any time during class. I will sometimes ask if there are any questions, but if needed, feel free to ask for a clarification at other times as well.

Quizzes will sometimes be given during class. Quizzes will not be announced in advance. They will be short and quick (5-10 minutes) and will test your knowledge and computational skills. You must be present in class (for the whole class period) in order to do the quiz. If you are late or leave early, your quiz grade may be lowered. No late quizzes are given unless you have a documented reason to miss class. However, two lowest scores are dropped, so if you miss just one or two of them, your zeros will be dropped. The quizzes are based on your homework. To do well on quizzes, do your homework diligently, check your answers, and ask questions whenever you miss something.

Recitations are an important part of this class. Make sure you attend the recitation you signed up for each week and actively participate. You will complete quizzes based on the activities done there. Your recitation score is 10% of your class grade.

Exams: There will be three 50 minuntes long tests and one 2 hours long final comprehensive exam. If for any reason you are unable to take a test at the scheduled time, please let your instructor know as soon as possible, and certainly before the test. In most cases, you will be expected to take the test before it is given in class. See schedule for exam dates.

Extra Help: It is essential not to fall behind, because each class may use the material studied previously. If you have trouble with some material, seek help in the following ways:

• Ask your instructor, either in class or privately. Don't be shy to ask questions. If you don't understand something, chances are very high that somebody else doesn't understand that either. So your classmates will be thankful to you for aksing questions in class! My contact info is given on the course web page.
• Attend office hours. These are drop-in hours when I am in my office for sure, with my door open. If my posted office hours do not work for your schedule, make appointments. Again, my contact info is on the course web page.
• Work with your classmates. Note: working on your homework together is allowed and encouraged, however, every student should learn how to solve all homework problems on their own.
• Attend the tutor lab. The Math Department tutor lab schedule is posted here.

Students with disabilities: upon identifying themselves to the University, students with disabilities will receive necessary accommodation for learning and evaluation. For more information, see http://www.fresnostate.edu/studentaffairs/ssd/.

Computers: At California State University, Fresno, computers and communications links to remote resources are recognized as being integral to the education and research experience. Every student is required to have his/her own computer or have other personal access to a workstation (including a modem and a printer) with all the recommended software. The minimum and recommended standards for the workstations and software, which may vary by academic major, are updated periodically and are available from Information Technology Services or the Universit Bookstore. In the curriculum and class assignments, students are presumed to have 24-hour access to a computer workstation and the necessary communication links to the University's information resources.

Academic honesty: cheating and plagiarism will not be tolerated in this class and any instances will be reported to the appropriate office. For information on the University's policy, see the University Catalog (section Policies and Regulations).

Honor Code: Members of the CSU Fresno academic community adhere to principles of academic integrity and mutual respect while engaged in university work and related activities. You should:

• understand or seek clarification about expectations for academic integrity in this course (including no cheating, plagiarism and inappropriate collaboration)
• neither give nor receive unauthorized aid on examinations or other course work that is used by the instructor as the basis of grading.
• take responsibility to monitor academic dishonesty in any form and to report it to the instructor or other appropriate official for action.

Disruptive Classroom Behavior: student conduct which disrupts the learning process will not be tolerated and may lead to disciplinary action and/or removal from class. Once we return to F2F instruction, all safety protocols must be followed. In particular, masks must be worn properly at all times. Failure to comply will result in removal from class and a report on disruptive classroom behavior will be filed.

Copyright policy: Copyright laws and fair use policies protect the rights of those who have produced the material. The copy in this course has been provided for private study, scholarship, or research. Other uses may require permission from the copyright holder. The user of this work is responsible for adhering to copyright law of the U.S. (Title 17, U.S. Code). To help you familiarize yourself with copyright and fair use policies, the University encourages you to visit its copyright web page: http://www.fresnostate.edu/home/about/copyright.html. Digital Campus course web sites contains material protected by copyrights held by the instructor, other individuals or institutions. Such material is used for educational purposes in accord with copyright law and/or with permission given by the owners of the original material. You may download one copy of the materials on any single computer for non-commercial, personal, or educational purposes only, provided that you (1) do not modify it, (2) use it only for the duration of this course, and (3) include both this notice and any copyright notice originally included with the material. Beyond this use, no material from the course web site may be copied, reproduced, re-published, uploaded, posted, transmitted, or distributed in any way without the permission of the original copyright holder. The instructor assumes no responsibility for individuals who improperly use copyrighted material placed on the web site.

Subject to Change: This syllabus and schedule are subject to change in the event of extenuating circumstances. If you are absent from class, it is your responsibility to check on announcements made while you were absent.