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Math 111. Transition to Advanced Mathematics. Spring 2024.

Prerequisite: Math 76 (Calculus II).

Hours: 4.

Catalog description: Introduction to the language and problems of mathematics. Use of LaTeX as a typesetting tool. Topics include set theory, symbolic logic, types of proofs, and mathematical induction. Emphasis on students constructing, explaining, and justifying mathematical arguments through active learning.

Course goals
Upon completion of this course, students should know/understand:

Learning outcomes
Upon completion of this course, students will be able to do:

Grading policy: Your grade for the course will be based on your performance on exams and homework (more information on these below). The number of points awarded for these is as follows.

Homework 100 points
Test 1 50 points
Test 2 50 points
Test 3 50 points
Final exam 150 points
Total 400 points
Points earnedGrade
360-400 A
320-359 B
280-319 C
240-279 D
0-239 F

Class attendance is strongly encouraged and expected. In addition to new material, important course information such as homework assignments will be given, homework may be discussed, and sometimes handouts may be distributed in class. In addition to attending class, you should expect to study at least 8 hours a week.

There will be weekly homework due every Wednesday at 11:59 pm. Be prepared to spend a few hours on each homework (you will learn to write mathematical proofs, polish your proofs, and type text in LaTeX - all of this takes time). You should write complete solutions, with all necessary proofs, and specific examples and counterexamples when appropriate, for each problem. Unsupported answers may receive zero credit. All proofs must be rigorous (use the style of proofs given in class and in the book). You should do homework in groups of 2-4 people. The groups do not have to be the same for all homeworks; you may do one homework with one person/group and another homework with another. However, in case you want to change your group, you should notify your group members well in advance (at least two weeks notice is recommended.) If you do not have a group, please let me know, and I will help you find one. Write the names of all group members on the first page clearly. Please make sure that everyone in the group understands and agrees with all solutions. The primary goal of homework is to learn, so if someone else does a problem, you don't learn anything. You need to actively participate to make sure you learn well. The whole group will receive the same grade. If you have any questions, or need someone to listen to and possibly comment on your ideas, please do not hesitate to ask your instructor (this is what her office hours are for!) Also, you are encouraged to work with any of your classmates even if they are not in your group. However, your group has to write all solutions by yourself, in your own words. Any copying will be considered cheating and will not be tolerated. Homework has to be typed in LaTeX and submitted through overleaf. Please share your homework file before the deadline (11:59 pm), and give your instructor "can edit" permissions. No late submissions will be accepted unless you are sick or have another serious reason to delay homework (notify your instructor in advance, or provide doctor's note, etc.) Tip: share your overleaf file with your instructor as soon as you start working on your homework. It will not be checked or graded before the deadline, but that way you will be sure that you turned it in on time. Continue working on your homework at any time before the deadline, however, you may not make any changes after the deadline. If any edits are made after the deadline, this will be considered cheating, and your homework will not be accepted. No late homework will be accepted unless you have a serious and documented reason.

Exams: There will be three tests (50 minutes long each) and one final comprehensive exam (2 hours long). 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. No late tests are given unless you have a serious and documented reason to miss class.

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

If you are having any difficulties, seek help immediately - don't wait until it is too late to recover from falling behind, or failing to understand a concept!

Students with disabilities: Upon identifying themselves to the instructor and the university, students with disabilities will receive reasonable accommodation for learning and evaluation. For more information, contact Services to Students with Disabilities in the University Library, Room 1202 (278-2811).

University policies. The following University policies can be found on the web.

Fresno State is committed to fostering a safe, productive learning environment for all students. Title IX and CSU policy prohibit discrimination on the basis of sex, which includes sexual harassment, domestic and dating violence, sexual assault, sexual exploitation, and stalking. We understand that sexual violence can undermine students’ academic success and we encourage students who have experienced some form of sexual misconduct to access appropriate resources so they can get the support they need and deserve. As an instructor, I have a mandatory reporting responsibility as a part of my role. It is my goal that you feel comfortable sharing information related to your life experiences in classroom discussions, in your written work, and in our one-on-one meetings. I will seek to keep the information you share private to the greatest extent possible. However, I am required to report information I receive regarding sexual misconduct or information about a crime that may have occurred during your time at Fresno State. Students can report incidents of alleged sexual misconduct to either or both of the following resources:
Title IX and Clery Compliance Office, 559.278.5003
Fresno State Police Department, 559.278.8400
Students can access confidential support from two separate resources on campus:
Survivor Advocates, 559.278.6796
Counseling Services, 559.278.2734
If you have concerns and you are unsure who to contact, please visit the Concern & Action Guide.

Emergency Information: In the event of an emergency, everyone in the campus community becomes a partner in the response. To ensSupportNeture you are prepared and remain calm you must make yourself familiar with campus protocols. To contact the Fresno State Police Department call 559.278.8400 from your cell phone or 911 from a campus phone. Prior to an emergency, assess your environment for options depending on the emergency. Identify all possible exit routes, in an emergency always use the closest most safe exit. Once you exit the building go to the predetermined evacuation assembly point, if that is unavailable then go to an open safe space away from the emergency. Identify where and how you can secure yourself inside if you need to shelter in place or hide from a threat. Be prepared to help guide those around you and assist individuals who may be in need. Additional information can be found at

University Services: The following University services can be found on the web.

Dispute Resolution: If there are questions or concerns that you have about this course that you and I are not able to resolve, please feel free to contact the Chair of the department to discuss the matter: Dr. Carmen Caprau, Department of Mathematics,, 559.278.2992.

Intellectual Property: All course materials, including but not limited to the syllabus, readings, quiz questions, exam questions, and assignments prepared by the instructor are property of the instructor and University. Students are prohibited from posting course materials online (e.g., Course Hero) and from selling course materials to or being paid for providing materials to any person or commercial firm without the express written permission of the professor teaching this course. Doing so will constitute both an academic integrity violation and a copyright violation. Audio and video recordings of class lectures as well as images of chat or messages shared during course sessions are prohibited unless I give you explicit permission in advance. Students with an official letter from the Services for Students with Disabilities office may record the class if SSD has approved that service. Otherwise, recordings of lectures are included in the intellectual property notice described above. These provisions exist regardless of the modality of the course. That is they apply to in-person, hybrid and online courses.

COVID: The following sections regarding COVID are subject to change given changing circumstances on-campus and in the community. Please check the COVID website for the most up-to-date information Vaccination: The California State University system strongly recommends the COVID-19 vaccination and booster for all students, faculty, and staff. As a reminder, you are eligible for a booster five (5) months after receiving a final dose of the Pfizer or Moderna vaccine; or two (2) months after receiving a Johnson & Johnson vaccine. Face Coverings: Fresno State no longer requires masks to be worn indoors, but based on updated guidance from public health experts, the University highly recommends that all students, faculty, and staff, regardless of vaccination status, wear a surgical grade or KN95 mask indoors. Faculty will continue to have the discretion to require face coverings for their in-person classes as they evaluate the health and safety needs of their individual classroom environments. Testing: The campus was fortunate to receive the Higher Education Emergency Relief (HEERF) Funds during the pandemic and through June 2023 but funds are no longer available. Students will still be able to obtain free kits from the Student Health and Counseling Center. Additionally, free COVID-19 test options are offered by the Fresno County Department of Public Health.

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.

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This page was last revised on 11 January 2024.