MAT151 – Nature of Mathematics

Instructor: Shawn Chiappetta

Office: Science Center 115

Phone: (605) 575-2081 (Office)

(605) 332-7507 (Home)

E-mail: shawn.chiappetta@USiouxFalls.edu

Office Hours: M 11-12

T 11-12/2-3

W 1-2

R 11-12/2-3

F 11-12

Time: MWF – 10:00 – 10:50am

Place: SC 302

Text: Intro. to Real Analysis, 3^rd ed.; Bartle and Sherbert

Course Description: An introduction to real analysis, including the real number system, infinite series, the derivative and Riemann integral.

Course Objectives: Throughout the course, the successful student will improve their ability to:

1. think deductively;

2. analyze mathematical situations;

3. extend ideas to a new context; and

4. read and write mathematical ideas carefully.

Course Grades: Grades will be based on exams, homework, projects and participation. They will broken down into the following values:

Exams 2 @20% ea 40%

Homework 40%

Final Exam 20%

Grading: We are a small enough class and a class of math majors that I do not expect problems in turning in late homework and missing exams. Nonetheless, getting behind on assignments causes problems in regards in keeping up the material. As a suggestion, DON’T get behind. As for exams, unless something extremely important occurs I will NOT give a makeup exam.

Homework: The following rules will be adhered to in regards to turning in homework:

No assignment will be accepted on fringed paper. The preference would be loose leaf, but anything without a fringe will be accepted.
No assignment done in red ink will be accepted. Unless the red is used as a highlight or in diagrams.
In the upper right hand corner of the first page will have the following:

Students FIRST AND LAST name.
Course name (Nature of Math or MAT151)
Due date
Chapter and problem numbers (not page numbers)

On each successive page will be:

Students name
Due date
Page M out of N (can be written and M/N)

The homework in this class is different than in most of the math classes you have been in. For, in your homework, we do want the “right answer”, but we want more. In written work, you will write enough on the page in complete sentences that someone who picks up your paper and has no other reference (that is, has not seen the text nor a statement of the problem) will be able to understand what the problem is and what your conclusions about it are. Also, this is a proof oriented class. This means that the work you turn in must hold an amount of “mathematical rigor”. Meaning every solution must clearly move from the assumptions and definitions to the result of the problem. This is not easy. In fact, it is not unusual to make “drafts” of solutions. We will work on techniques in and out of class. I will also provide assistance when asked. I cannot stress enough about the importance of this facet to being a mathematician. It is an extension to who we are and manifests itself through clear and coherent written arguments.

Each homework problem will be graded using the following rubric.

5 pts – Problem is done correctly. No fault in logic nor method. Explanation is clear and concise.

4 pts – Problem has minor flaws. Explanation is not as clear as could have been.

3 pts – Correct ideas, but poor execution. No or little explanation.

2 pts – Some signs of direction, but lack of understanding.

1 pt -- Attempted problem, but needs to go back over and/or get assistance.

0 pts – Did not attempt problem or showed NO lack of effort.

Attendance Policy: Regular attendance and participation is encouraged and expected. You may read USF’s policy at www.usiouxfalls.edu/stuserv/attendancepolicy.htm.

Academic Honesty Statement: We encourage you to collaborate and assist each other. However, that assistance should be a knowledge exchange, not the replication of the work of another. Plagiarism (with or without the permission of the originator) defeats the learning process and jeopardizes your success in the course. Copying homework and/or exams of another is dishonest and a violation of the ethical standards of USF (www.usiouxfalls.edu/stuserv/misconduct.htm). Allowing your work to be copied by another is equally a violation. Penalties will include no homework/exam credit for either student. All students who observe an incident of cheating have an obligation to confidentially report such to the instructor.

Disability Services Statement: (Text supplied by USF) The University of Sioux Falls is committed to providing reasonable accommodations for students with physical, learning, and/or other types of disabilities. Accommodations for students with disabilities are made only in consultation with the Coordinator of Disability Services, so if you believe you have a disability requiring accommodation in this or any course, please contact Ms. Libby Larson, Coordinator of Disability Services. Ms. Larson will work with you to secure proper documentation and to help you arrange appropriate accommodations with your instructors. Ms. Larson's office is on the lower level of the Salsbury Student Union, and her phone number is 331-6740.

Status of Syllabus: This syllabus results from the instructor’s effort to represent fairly the plan for this course. Circumstances may cause the instructor to make changes in the plan, but such changes will not be capricious and will be made in a timely fashion. Please speak with your instructor if there is anything in the syllabus about which you are unclear.

Tentative Schedule

Feb. 6 2.1

Feb. 9 2.1

Feb. 11 1.2

Feb. 13 2.1

Feb. 16 2.2

Feb. 18 2.3

Feb. 20 1.1

Feb. 23 2.4

Feb. 25 2.5

Feb. 27 3.1

Mar. 1 3.2

Mar. 3 Review

Mar. 5 Exam I

Mar. 8 3.2

Mar. 10 3.3

Mar. 12 3.3

Mar. 15 3.4

Mar. 17 3.5

Mar. 19 3.5

Mar. 22 Spring Brk.

Mar. 24 Spring Brk.

Mar. 26 Spring Brk.

Mar. 29 4.1

Mar. 31 4.2

Apr. 2 5.1

Apr. 5 Review

Apr. 7 Exam II

Apr. 9 Easter Brk.

Apr. 12 Easter Brk.

Apr. 14 5.2

Apr. 16 5.3

Apr. 19 5.4

Apr. 21 5.5

Apr. 23 6.1

Apr. 26 6.1

Apr. 28 6.4

Apr. 30 7.1

May 3 7.2

May 5 9.1

May 7 9.2

May 10 9.3

May 12 10.1

May 14 10.2

May 17 Review

May 19 FINAL EXAM