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Math 3372 - Combinatorics

Math 3372 - Combinatorics

**Common Course ID:Math 3372 Combinatorics**

**CSU Instructor Open Textbook Adoption Portrait**

**Abstract: **This open textbook is being utilized in a [discipline] course for undergraduate [description if any] students by [Instructor's name] at [Educational Institution name]. The open textbook provides [brief description of highlights and any instructor supplements]. The main motivation to adopt an open textbook was [supply reason]. Most student access the open textbook in [format and/or access method].

**No textbook was required for this course. **

**Description:** Although no textbook is required/selected, I searched on MERLOT and check with colleagues to provide reference books. In this course, students will write most of the text. Classes are conducted from packets of course notes I created (sample attached) that they can download from our course web site containing problems to solve. The notes follow closely to the sections in the book: Applied Combinatorics, 6th edition, by Alan Tucker, ISBN: 978-0-470-45838-9. Students are not required to buy the book.

Reference Text:

1. Combinatorics Through Guided Discovery by Kenneth P. Bogart

2. Combinatorics by Joy Morris

**Cost savings:** Applied Combinatorics, 6th edition, by Alan Tucker, ISBN: 978-0-470-45838-9 Hardback $218.00, e-book $64.00

**Course **

**Description: **MATH 3372 Combinatorics (Major course)**Prerequisite:** MATH 2220 Calculus II with a grade of C- or better; or MATH 2210 Calculus I, MATH 2265 Statistics with Applications, and MATH 2720 Discrete Mathematics with a grade of C- or better.

In this course, students will learn about: Study of enumeration techniques, generating functions, recurrence relations, and principle of inclusion and exclusion.

**Student Population:** Most students are junior and senior students from the math department and computer science department. Prerequisite: MATH 2220 Calculus II with a grade of C- or better; or MATH 2210 Calculus I, MATH 2265 Statistics with Applications, and MATH 2720 Discrete Mathematics with a grade of C- or better.

**Syllabus available here:** 3372-03 Syllabus F20.pdf]

**Learning outcomes:**

Upon successful completion of this course, students will be able to meet the expectation of (and will be assessed on) several of the CSUSB Math Department’s SLOs:

1.1 Students will demonstrate an understanding of fundamental concepts, algorithms, operations, and relations

1.2 Students will make connections between mathematical ideas verbally, numerically, analytically, visually, and graphically

2.1 Students will correctly apply mathematical theorems, properties and definitions

2.2 Students will calculate efficiently, flexibly, and with appropriate accuracy

3.1 Students will justify solutions using a variety of strategies and representations

3.2 Students will be able to evaluate reasonableness of proposed results using estimation and context

3.3 Students will be able to critique mathematical reasoning, both correct and flawed

4.1 Students will demonstrate mathematical communication skills using appropriate mathematical vocabulary and references

5.1 Students will understand valid mathematical proofs

5.2 Students will produce valid mathematical proofs

**Teaching and learning impacts:**

Collaborate more with other faculty : **No**

Use wider range of teaching materials: **Yes, provided students for reference materials**

Student learning improved : **Yes, based on students interaction during the in-class Q and A sessions.**

Student retention improved : **Unsure**

Any unexpected results:** Unsure**

**Sample assignment: **372 Sec 5.2 notes.pdf

**OER Adoption Process**

By not requiring a textbook and providing students with “guide/lecture notes” I designed (sample attached), I intend to make this class an Inquiry-based Learning class so that the conduct of this course will be student-oriented. Students will be asked to create solutions to problems, present solutions for the scrutiny of the class, and to validate or find any errors present in the work of others when presented. We will also have Q&A sessions to ensure that students have thorough understanding of the materials. An important objective of the course is for them to develop their creative and critical mathematical skills. They are expected to be actively participating in every class.

Besides the guide/lecture notes and given reference books, students are encouraged to use additional resources to enhance their learning

**Student Access: ** Links to some reference sites and e-book and the guide/lecture notes’ pdf file are provided on our BlackBoard course site.

**Instructor Name** Min-Lin Lo, Professor, Department of Mathematics, California State University, San Bernardino (CSUSB)

I am a mathematics professor at the California State University, San Bernardino. I teach a wide range of courses such as: discrete math, applied statistics, Calculus, and analysis.

I believe students learn better when they "do" the math, not just listen and copy from professors, therefore most of my lecture time is spent guiding students by asking questions and give them time to do problems in class before we discuss the solutions. My research interested is in graph theory which is a subject that provide good problems that I can mentor undergraduate student to do research on.