### Contents

### COURSE DESCRIPTION

Math 180 is the introductory calculus course in our standard three-semester calculus sequence. As such, its goal is to introduce the study of calculus on the real line, which includes limits, differentiation, and basic integration techniques while also covering applications of said topics.

Calculus is a beautiful and venerable subject, whose main aim is to understand the properties of functions, and how they can be used to describe and predict the behavior of various physical systems. The prominence and importance of such study reaches far beyond the pure mathematical endeavor into numerous applications, among others in engineering, natural sciences, and economics.

Students enter Math 180 from a variety of backgrounds: some of you have taken Pre-Calculus at UIC, some have transferred from other schools, or placed directly into Calculus I following your mathematical studies in high school. Regardless of your background coming in, our goal is to help every one of you succeed, and enjoy yourselves as much as possible in the process!

However, calculus is often a subtle and challenging subject, and experience has taught us (both as students once ourselves, and as educators) that success in Math 180
requires a lot of work, many hours of study and problem solving, and your **active involvement** in learning, both inside and outside the classroom. We have designed our
course with the aim of helping you stay constantly involved with the course and the material, and within easy reach of some of your best resources: your instructor, your
teaching assistants, and your colleagues! Working (quite hard!) together, you will find that at the end of the semester you have not only learned the basics of the course,
but mastered the concepts, their connections, and many of their possible applications!

### COURSE INFORMATION

**Textbook**

You will need the MyMathLab access code. The access code comes with an electronic version of the book, you are welcome to also purchase the hard copy of the textbook. You can purchase the textbook and access code separately or together.

The textbook is **Calculus: Early Transcendentals by William Briggs
and Lyle Cochran**, published by Addison-Wesley.

A custom UIC edition of the textbook is available in an unbound, looseleaf, 3-ring binder design.

We will cover chapters 2 through 5 in Math 180. A brief description of the material covered each week is given in the weekly schedule below.

You are expected to read the textbook before the lecture of each topic, as indicated on the schedule of homework and reading assignments.

**Course Structure**

The class contains three hours of lecture on Monday, Wednesday, Friday, and two hours of discussion/problem solving on Tuesday and Thursday. Please see your class schedule for specific time and classroom. In addition, your instructor and TA will be available during their office hours. Their office hours can be found under the Sections link above.

### PREREQUISITES

Grade of C or better in Math 121 or appropriate performance on the department placement test. The prerequisite is enforced throughout all sections of the course without exceptions. Students that have not met the prerequisite will not be allowed to take the course.

### MATH LEARNING CENTER

The Math Learning Center (MSLC) is located in SEO 430. It is a spacious and comfortable place to study. Staff will be available during its hours of operation to assist students with Math 180. You should visit the center and get to know different TAs and peer tutors that can provide you with instant help.

### COURSE POLICIES

**Cell Phones**

You may not use your phone during lecture or discussion/problem solving sessions for any reason other than class participation. We ask that you stay focused on the material while attending class. If this becomes a problem, your instructor or teaching assistant will ask you to leave the room.

**No Calculators**

The use of any electronic devices with computing capabilities is prohibited during exams and quizzes.

### DIAGNOSTIC EXAM

Given the variety of students taking the course, it is important to ensure that every one of you has the necessary mathematical background which allows you to fully focus on the wealth of new material which you must learn in Math 180. There will be a short diagnostic exam administered online during the first week of classes. This exam will consist of problems based on topics from basic algebra and pre-calculus that are required for Math 180. The results of the diagnostic exam will not affect or in any way be counted towards your final grade for the course. If you receive a low score on the diagnostic exam, you are encouraged to talk to your instructor/advisor to discuss your options. Those may include (re)taking Math 121, enrolling in additional ESP-sections, seeking tutoring help, etc. All these options are subject to availability, so you have to act quickly.

### GRADES

The course grade is based on the following categories with the point values associated to each. Students are expected to be present for all exams. Makeup exams will only be given in case of a verifiable emergency or a formal request by the UIC atheletic department. Do not schedule travel on an exam date.

Attendance | 80% in class, and 80% in discussion required to pass the course |

Quizzes (in lecture) | 5 points |

Written Homework | 15 points |

MyMathLab Homework | 10 points |

Midterm 1 | 20 points |

Midterm 2 | 20 points |

Final Exam | 30 points |

### GRADING SCALE

80 -- 100 | A |

65 -- 79 | B |

55 -- 64 | C |

40 -- 54 | D |

0 -- 39 | F |

There will be no curve for the final grade.

### COURSE ASSIGNMENTS

**Attendance**

As explained in the course description, your active involvement in learning is essential in order to successfully complete the course! A basic requirement of the course is therefore a serious commitment on your part to attend both the lectures and the discussion/problem sessions.

Attendance in the course will be taken as follows:

*In lectures*: Attendance will be taken on random days through a pop quiz. There will be a minimum of 14 pop quizzes throughout the semester. The pop
quizzes will be 5-10 minutes in length and will be problems chosen by your instructor.

*In discussion/problem sessions*: The TAs will take attendance in each discussion/problem session.

**At the end of the semester, a student who does not have an attendance percentage of 80% in-lecture pop quizzes AND 80% discussion/problem sessions will receive an F for the course.**

*Excused Absence Policy*: A student can petition at the end of the semester if they receive a failing grade caused by their attendance. Documentation must be provided for a petition.

**Quizzes**

The *pop* quizzes will be given by the instructor during class time. There will be no make-up quizzes given, but the lowest two scores will be dropped.
The pop quizzes will be 5-10 minutes in length and will be problems chosen by your instructor. The instructor reserves the right to not accept a quiz from a student who
was not present during a significant portion of lecture on that day; in other words, a student cannot walk in for the last 10 minutes and take the quiz and count that as
attending class that day.

**Homework**

Homework for the course is assigned in two ways, both of which will count towards your grade.

*MyMathLab Homework* – MyMathLab is a wonderful tool to
provide instant feedback to problems that cover the basic material of
the course.You can access MyMathLab through the Blackboard link.

*Written Homework* – Each week, the MATH 180 coordinator
will publish a set of homework problems that are to be turned in
online. These written problems
will (generally) be more challenging than the optional homework
problems and will require you to show your full work. You are
strongly encouraged to work together with a group of colleagues on
these (and any) homework problems, but you must write up the solutions
by yourself! The written homework will be submitted to you via email.
Solutions will be posted under the Homework link above.

Written homework problems will be graded in full, and just an answer will not earn any credit. You should pay a lot of attention to the comments made by your TA on each graded homework, since the midterms and the final exam will be graded in a very similar way.

Homework will be due on the specified date (listed on the homework itself). No late homework will be accepted.

The goal of these written problems is to help you learn how to write mathematics as you will need to do on the midterms and final exam. Solutions to the written homework will be posted online along with grading rubrics for the problems.

**Midterms Exams**

The midterm exams will be administered in the evenings of Wednesday, September 23 and Wednesday, October 21, both being from 6-8pm. The first midterm will cover material from Sections 2.1-3.5 and the second midterm will cover material from Sections 3.6-4.3.

**Final Exam**

The final exam will take place on Thursday, December 10 from 1-3pm and will be a cumulative exam.

Models of midterm and final exams can be found by clicking the Exams link above.

With all exams, make-ups will not be given except under extreme circumstances.

### MIDTERM GRADES

It is MSCS policy to assign midterm grades to all students in MATH 180. Midterm grades will follow the same cut-offs as for the final course grade, but with the following contributions

Quizzes | 10% |

MyMathLab Homework | 20% |

Written Homework | 30% |

Midterm 1 | 40% |

Tips on interpreting your midterm grade can be found at http://tigger.uic.edu/depts/oaa/advising/student_midterm.html.

### WEEKLY SCHEDULE

Here is a brief overview of the material we will cover each week. (See also: detailed schedule and homework list)

WEEK | SECTIONS | BRIEF DESCRIPTION |
---|---|---|

1 | §2.1-2.3 | Limits: Introduction, computation (Diagnostic Exam on Wednesday with results on Friday) |

2 | §2.3-2.5 | More limits,squeeze theorem, infinite limits and limits at infinity |

3 | §2.6-3.1 | Labor Day Continuity, introduction to derivatives |

4 | §3.2-3.4 | Derivatives: basic rules, product/quotient rules |

5 | §3.5-3.6 | Derivatives: Trig Functions, Review & Midterm 1 on Wednesday, Chain Rule |

6 | §3.7-3.9 | Derivatives: chain rule, implicit differentiation, log/exponential |

7 | §3.10-4.1 | Derivatives: inverse trigonometric functions, related rates, extrema |

8 | §4.2-4.3 | Monotonicity, concavity, graphing functions |

9 | §4.3-4.4 | More graphing, Review & Midterm 2 on Wednesday, Optimization |

10 | §4.4-4.6 | Optimization, linear approximation, the mean value theorem |

11 | §4.7,4.9 | L'Hospital's Rule, antiderivatives |

12 | §5.1-5.2 | Definite integrals |

13 | §5.2-5.3 | Definite integrals, Fundamental Theorem of Calculus |

14 | §5.4-5.5 | Applications and Substitution Thanksgiving |

15 | Review | More Substitution and Review |

16 | Final Exam | Final Exam on Thursday 1-3pm |

### Academic Integrity Policy

As an academic community, UIC is committed to providing an environment in which research, learning, and scholarship can flourish and in which all endeavors are guided by academic and professional integrity. All members of the campus community - students, staff, faculty, and administrators - share the responsibility of insuring that these standards are upheld so that such an environment exists. Instances of academic misconduct by students will be handled pursuant to the Student Disciplinary Policy: http://www.uic.edu/depts/dos/docs/Student%20Disciplinary%20Policy.pdf

### Academic Deadlines

Current academic calendar and the list of deadlines can be found at http://www.uic.edu/ucat/catalog/CA.shtml#f

### Disability Policy

The University of Illinois at Chicago is committed to maintaining a barrier-free environment so that students with disabilities can fully access programs, courses, services, and activities at UIC. Students with disabilities who require accommodations for access to and/or participation in this course are welcome, but must be registered with the Disability Resource Center (DRC). You may contact DRC at 312-413-2183 (v) or 312-413-0123 (TTY) and consult the following: http://www.uic.edu/depts/oaa/disability_resources/faq/accommodations.html.

### Religious Holidays

Students who wish to observe their religious holidays shall notify the faculty member by the tenth day of the semester of the date when they will be absent unless the religious holiday is observed on or before the tenth day of the semester. In such cases, the student shall notify the faculty member at least five days in advance of the date when he/she will be absent. The faculty member shall make every reasonable effort to honor the request, not penalize the student for missing the class, and if an examination or project is due during the absence, give the student an exam or assignment equivalent to the one completed by those students in attendance. If the student feels aggrieved, he/she may request remedy through the campus grievance procedure. http://www.uic.edu/depts/oae/docs/ReligiousHolidaysFY20122014.pdf

### Grievance Procedures

UIC is committed to the most fundamental principles of academic freedom, equality of opportunity, and human dignity involving students and employees. Freedom from discrimination is a foundation for all decision making at UIC. Students are encouraged to study the University's "Nondiscrimination Statement". Students are also urged to read the document "Public Formal Grievance Procedures". Information on these policies and procedures is available on the University web pages of the Office of Access and Equity: http://www.uic.edu/depts/oae.