# Math 125 Midterm

Everything can change without notice at any moment..

MATH – 125 Practice Final You have 2 hours to solve 6 problems of total value 35 points. Show your work; explain your solutions. Calculators, books, notes, and formulae sheets are not allowed on the exam. Four vectors from R4 are given: 1 0 0 2 0 1 0 1, and 1 1 1 1 0 2 1 3. Midterm Exam Review. Selection File type icon File name Description Size Revision Time User. MATH 125 - MIDTERM 1 REVIEW J. WARNER (1)Calculate the following limits. (a)lim x!1 x+ p x2 + 2x+ 3 (b)lim x!1 p x2 + x+ 1 x (2)(a)Consider the equation x4 + 4x 3 = 0: Show that the equation has at least two real solutions. (b)Consider the equation sinx cosx 3x = 0. Show that the equation has a solution. (3)(a)Consider the function f that is. Math 111, 112, 120, 124, 125, and 126: final examinations will be the saturday. In-person midterm on thursday time and in-person common final exam. Math 125 Midterm 2 Practice. = May not have been covered in time for Midterm #2, check with your instructor. A certain share of stock has historically behaved as follows: the trading day after the stock price rose, it rose again 50% of the time, stayed steady 30% of the time, and dropped the rest of the time.

Math 125g in Fall 2020 semester: Key dates

- August 17: first day of classes
- September 4: Last day to drop without a `W' AND with refund
- September 7: Labor Day, no class
- September 14: Midterm Exam 1
- September 25: Computer Project 1 is due
- October 2: Last day to drop without a `W', BUT WITH NO refund
- October 12: Midterm Exam 2
- October 30: Computer Project 2 is due
- November 6: Last day to drop with a `W'
- November 9: Midterm Exam 3
- November 13: Final Homework is due; Last day of classes
- November 18: Final exam (2-4pm)

**Instructor**: Dr. Sergey Lototsky.**Office**: KAP 248D.**Phone**: (213) 740-2389.**E-mail**: [my last name] (at) usc.edu**Office hours**: TBD, on zoom

Please make sure to talk to me about your problems, questions, or concerns in this class. We can always arrange a special zoom meeting.

**Teaching Assistant**: Shiyun Wang.**E-mail**: shiyunwa at usc {dot} edu

**Lectures:**MWF 10:00-10:50 am online.**Discussions**: TuTh 10-10:50am and 11-11:50am, online

**Textbook**: 'Essential Calculus ' by James Steward, Thompson-Brooks/Cole

**Goal**

- To overpower the material in Chapters 1-4 and Sections 5.1-5.5 of the book.

**Objectives**

- To get used to the standard material in the first-semester calculus course (computing various limits and derivatives; setting up and solving relative rate and optimization problems; sketching a graph of a function using the information contained in the first two derivatives; computing integrals using basic substitutions, the Fundamental Theorem of Calculus, and the definition of the Riemann integral) and to be ready to succeed in any subsequent class requiring this material.

A detailed (practical) summary of what we will learn.

A theoretical summary (Formal definitions of limits and several key theorems related to continuous functions, derivatives, and integrals)

**Midterm Exams**will be based on old final exams. Many of the previous final exams are here and a more complete set is in the content section of Blackboard.

**Final exam policies**: Please show all of your work and reasoning; In the final answers, keep the irrational numbers such as pi, e, ln 2, sqrt{2}, do not convert ordinary fractions to decimals, and

do not approximate anything. If you have a question, please write to the instructor using the private chat function of the zoom meeting. Other than that, you may not communicate with anybody during the exam. Note that the final exam is the same for all MATH 125 lecture groups.**Homework and Quizzes:**There will be weekly homeworks and quizzes, and two computer projects.Each of the two computer projects will have the same contribution as one quiz. The discussion section instructor will make, administer, and grade the quizzes.

**Grading:**- Quizzes and computer projects, 20%
- Homeworks, 15%
- Three One-Hour Exams, 10% each
- Final Two-Hour Exam, 35%

Computer projects**Missed work.**The general rule: no make-up exams or quizzes, and no late submissions of homeworks or projects (but early submissions, especially in electronic format, are welcome).**Emergencies will be handled on a case-by-case basis.**If you miss the final exam, with a valid excuse, you get an incomplete in the class; an incomplete is a major inconvenience for a number of people, including yourself, so, please, do not miss the final.**To encourage and reward consistent performance throughout the semester, I will not automatically drop any scores (such as the two lowest quizzes, etc.)****Students Requiring Special Accommodation**

Any student requesting academic accommodations based on special needs is required to register with DSP each semester. A letter of verification for approved accommodations can be obtained from DSP. Please be sure the letter is delivered to me (or to TA) as early in the semester as possible. DSP is located in GFS 120. To contact DSP: (213) 740-0776 [tel.], [email protected] [e-mail], on the web.**Academic Integrity**

USC seeks to maintain an optimal learning environment. General principles of academic honesty include the concept of respect for the intellectual property of others, the expectation that individual work will be submitted unless otherwise allowed by an instructor, and the obligations both to protect one's own academic work from misuse by others as well as to avoid using another's work as one's own. All students are expected to understand and abide by these principles. Scampus (the Student Guidebook) contains the Student Conduct Code in Section 11.00, while the recommended sanctions are in Appendix A.**Other materials**

(part of) Lecture 1Basic Trigonometry (with some graphs)

USC Math Department Homepage

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### Course Prerequisites

One of:

- grade of S in MATH 090 (Intermediate Algebra)
- appropriate performance on the math placement test.

### Course Description

This course is an introduction to systems of linear equations, matrices, liner programming problems, vector spaces, and more, with emphasis on business applications.

### Credit Awarded

5 hours of credit

### Course Materials

### Course Materials

#### Textbook

*Finite Mathematics & Its Applications (12th Edition)*, by Larry J. Goldstein, David I. Schneider, Martha J. Siegel, and Steven Hair. Custom edition (available only from the UIC Bookstore) includes only sections covered in this course.

### Math 125 Practice Test

T72b war thunder pc. Note that a MyLab Math code is required for the course while the printed textbook is optional.

#### MyLab Math

A MyLab Math code linked to your Blackboard account is required for this course. To ensure your MyLab Math code is properly linked to your blackboard account you should either:

- Purchase your MyLab Math code through the link in Blackboard. This purchase also includes an electronic version of the textbook, you are not required to buy a printed copy.
- Make sure to link your MyLab Math account to your Blackboard account by logging into Blackboard and following the link to enter your access code. Make sure not to use the access code for any other purpose before doing this.

### Math 125 Midterm 1 Uw

If you wish to buy a printed copy of the textbook, a bundle including both the the printed textbook and MyLab Math access code is available from the UIC Bookstore. You may instead wish to purchase a MyLab Math code via the link in Blackboard and buy a used textbook.

#### Calculator

### Usc Math 125 Midterm

A graphing **calculator** such as TI-83, TI-83 , TI-84 or TI-84 **is required** . It may be used on exams. Models such as the TI-nSpire are not recommended, nor are Casio and other manufacturers. The TI-83/84 model will be demonstrated in class.

## List of Topics

Section | Topic |
---|---|

1.1 | Coordinate Systems and Graphs |

1.2 | The Slope of a Straight Line |

1.3 | The Intersection Point of a Pair of Lines |

1.4 | The Method of Least Squares |

2.1 | Systems of Linear Equations with UniqueSolutions |

2.2 | General Systems of Linear Equations |

2.3 | Arithmetic Operations on Matrices |

2.4 | The Inverse of a Square Matrix |

2.5 | The Gauss-Jordan Method for CalculatingInverses |

2.6 | Input-Output Analysis |

3.1 | Linear Inequalities |

3.2 | A Linear Programming Problem |

3.3 | Fundamental Theorem of Linear Programming |

3.4 | Linear Programming |

4.1 | Slack Variables and the Simplex Tableau |

4.2 | The Simplex Method I: Maximum Problems |

4.3 | The Simplex Method II: Nonstandardand Minimum Problems |

4.4 | Sensitivity Analysis and MatrixFormulations of Linear Programming Problems |

4.5 | Duality |

6.1 | Experiments, Outcomes, Sample Spaces, andEvents |

6.2 | Assignment of Probabilities |

6.3 | Calculating Probabilities of Events |

8.1 | The Transition Matrix |

8.2 | Regular Stochastic Matrices |

8.3 | Absorbing Stochastic Matrices |