Syllabus for Math 307, Section 2, CRN 30303

Instructor: Abner J. Salgado

http://www.math.utk.edu/~abnersg

Office: Ayres Hall 204, Tel: (865) 974-6577

Meetings: MWF 12:20p-1:10p Ayres 111

Office Hours

MW 2-3p. Office hours can also be arranged by appointment.

Course Description

Catalog Description

Algebra of sets, functions, relations, and mathematical induction. Algebraic structure of the real number system, order properties, and completeness.

Student Learning Outcomes

This is the first encounter with proofs and the major goal of this course if for the students to learn how to read and write mathematics. Therefore, the successful student will demonstrate mastery of basic logic and proof skills and will be able to prove and present mathematical theorems.

Text/Materials/Resources

The textbook for this class is:

- W.R. Wade and C.K. Craig, Introduction to Abstract Mathematics. Graphic Creations.

Learning Environment and Classroom Expectations/Etiquette

Every student is expected to maintain an atmosphere that fosters a positive learning environment. During class, that means students need to turn off their cell phones and refrain from doing anything that is not related to the class. While it is understood that there might be occasions when leaving early or coming in late is necessary, these must be kept to a minimum, as they are a distraction to the instructor and the students.

Questions and discussions during class are encouraged. Students are highly encouraged to read ahead in preparation for each class.

Students must be familiar with the academic standards of conduct section of the Hilltopics handbook.

Assessment and Evaluations Methods

There will be two in-class exams and a comprehensive final exam. Tentative dates for the exams are February 15 and April 11. The official date will be announced in class at least two weeks in advance. The University Calendar sets the final examination date to be Monday, May 9 12:30p - 2:30p.

Homework will be assigned at the beginning every week,and will be collected at the beginning of the following week. You must provide solutions to all the problems, but only a random subset will be graded for credit. In addition to mathematical correctness and rigor, organization and clarity of exposition will also be taken into consideration.

The grading scheme will be as follows: each in-class exam is worth 20 points, the final is worth 30 points, homework is worth 30 points. The cutoffs will be approximately: 90% or higher is an A, 80% - B, 70% - C and 60% - C. I reserve the right to change this scale, provided the change benefits all students. All grades will be made available on Online@UT.

Attendance and Make Up Policies

Attendance to every class is mandatory. There will be NO make up for the quizzes. Make ups for the in-class exams and final will be given only if a student can present evidence that an absence was caused by serious illness, a death in the immediate family, religious observance, or participation in University activities at the request of University authorities. For an illness, you must present a signed statement from a doctor that your illness was sufficiently serious to make you miss class. A note saying only that you visited the doctor or the Health Center will not suffice.

There will be NO extra credit assignments, especially nearing the end of the semester.

Course Schedule

Date | Sections | Date | Sections | |

1/13 | Numbers and proof | 3/9 | The Field Axioms | |

1/16 | Basic Definitions | 3/11 | Complex Numbers | |

1/18 | MLK HOLIDAY | 3/14 | Spring Break | |

1/20 | Set Algebra | 3/16 | ||

1/22 | The Search for Truth | 3/18 | ||

1/25 | Chapter Review | 3/21 | Order Axioms | |

1/27 | Cartesian Products and Binary Relations | 3/23 | Integer Exponents | |

1/29 | Equivalence Relations | 3/25 | Spring Recess | |

2/1 | Chapter Review | 3/28 | Absolute Value | |

2/3 | Images and Inverse Images | 3/30 | Roots and Irrationals | |

2/5 | Inverse Functions | 4/1 | Real Functions | |

2/8 | Odd and Even Functions | 4/4 | Roots of Polynomials | |

2/10 | Chapter Review | 4/6 | Chapter Review | |

2/12 | REVIEW | 4/8 | REVIEW | |

2/15 | EXAM 1 | 4/11 | EXAM 2 | |

2/17 | The Axiom of Induction | 4/13 | The Completeness Axiom | |

2/19 | Induction and Divisibility | 4/15 | ||

2/22 | Induction and Inequalities | 4/18 | The Completeness Property for Infima | |

2/24 | Finite Sets | 4/20 | Consequences of Completeness | |

2/26 | Recursions | 4/22 | Bounded Functions | |

2/29 | The Binomial Formula | 4/25 | Countability | |

3/2 | Natural Numbers | 4/27 | Chapter Review | |

3/4 | 4/29 | FINAL REVIEW | ||

3/7 | Chapter Review | 5/9 | FINAL EXAM 12:30p - 2:30p. |

Campus Syllabus (includes Disability Services info)