Math 75B. Calculus with Review IB. Fall 2022.

Prerequisite: Math 75A.

Hours: 4.

Text: Calculus, Volume 1, Strang and Herman, OpenStax, 2016,

Algebra and Trigonometry, Abramson, OpenStax, 2015

Catalog Description: Further applications of derivatives, and definite and indefinite integrals, with extensive review of algebra and elementary functions. With MATH 75A, equivalent to MATH 75.

Learning Objectives

Upon completion of this course, students should understand:

- How to interpret the derivative in the context of real-world examples.
- The definition of antiderivatives.
- The integral as an area or the distance traveled by a moving object.
- The idea of an "area function" under the graph of a function f, and how it relates to the function f itself.
- The two parts of the Fundamental Theorem of Calculus.
- The relationship between integrals and antiderivatives.

Learning Outcomes

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

- Define, manipulate, compute, and graph any polynomial, rational, trigonometric, power, exponential, or logarithmic function.
- Use functions to represent changing quantities.
- Compute limits of algebraic expressions.
- Appreciate the connection between the limit and the asymptotic behavior of a function.
- Understand the significance of the derivative as the instantaneous rate of change.
- Compute certain simple antiderivatives.
- Find maximum or minimum values of functions.
- Solve "real-world" optimization problems by converting them into the language of calculus.
- Compute the definite integral of any polynomial or root function.
- Define the definite integral as a limit of Riemann sum approximations.

Grading policy: Your grade for the course will be based on your performance on exams, quizzes, and homework.

Homework | 15 % |

Quizzes | 10 % |

Test 1 | 15 % |

Test 2 | 15 % |

Test 3 | 15 % |

Final exam | 30 % |

Points earned | grade |

90-100 % | A |

80-89 % | B |

70-79 % | C |

60-69 % | D |

0-59 % | F |

Class attendance is strongly encouraged. In addition to new material, important course information will be given in class, and sometimes quizzes will be administered.

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).

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.

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. 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/.

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.

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 University 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.

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/.

Academic honesty: cheating and plagiarism will not be tolerated in this class. 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.

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.