1. Course number and name

010123133-64 วิยุตคณิต (Discrete Mathematics)

2. Credits and contact hours

3(3-0-6)

3. Instructor’s or course coordinator’s name

Prof. Dr.Nachol Chaiyaratana

4. Text book, title, author, and year

1. Epps, S. S. (2011). Discrete mathematics with applications (4th ed.). Toronto, ON: Brooks Cole.

5. Specific course information

1. brief description of the content of the course (catalog description)
   Logical forms and logical equivalence, valid and invalid arguments, predicates and quantified statements, arguments with quantified statements, direct proof, indirect arguments, mathematical induction, sequences, recurrence relations, set theory, functions defined on general sets, one-to-one functions, onto functions, inverse functions, relations on sets, equivalence relations, counting and probability, possibility trees and the multiplication rule, the addition rule.
2. prerequisites or co-requisites
   040203112-64 Engineering Mathematics II
3. indicate whether a required, elective, or selected elective (as per Table 5-1) course in the program
   Required :

6. Specific goals for the course

1. specific outcomes of instruction (e.g. The student will be able to explain the significance of current research about a particular topic.)
   1. CLO1 The student will be able to identify logical forms and logical equivalence.
   2. CLO2 The student will be able to differentiate between valid and invalid arguments.
   3. CLO3 The student will be able to identify predicates and quantified statements.
   4. CLO4 The student will be able to perform a direct proof.
   5. CLO5 The student will be able to make an indirect argument.
   6. CLO6 The student will be able to perform mathematical induction.
   7. CLO7 The student will be able to formulate sequences.
   8. CLO8 The student will be able to find a solution of a recurrence relation.
   9. CLO9 The student will be able to define sets and their properties.
   10. CLO10 The student will be able to define functions and their properties.
   11. CLO11 The student will be able to define relations and their properties.
   12. CLO12 The student will be able to perform counting and calculate a probability value.
   13. CLO13 The student will be able to use a possibility tree and the multiplication rule to calculate a probability value.
   14. CLO14 The student will be able to use the addition rule to calculate a probability value.
2. explicitly indicate which of the student outcomes listed in Criterion 3 or any other outcomes are addressed by the course.

   ABET Student Outcome (SO) Listed in Criterion 3

   Course learning outcome (CLO)

   PO2 : การวิเคราะห์ปัญหาทางวิศวกรรม สามารถระบุปัญหา สืบค้นทางเอกสาร สร้างแบบจำลองรวมตั้งสมการความสัมพันธ์ระหว่างตัวแปรต่าง ๆ เพื่อหาคำตอบ และแก้ไขปัญหาทางวิศวกรรมที่ซับซ้อน จนได้ข้อสรุปเบื้องต้น โดยใช้หลักการและเครื่องมือวิเคราะห์ทางด้านคณิตศาสตร์ วิทยาศาสตร์ และทางด้านวิศวกรรมศาสตร์ ทั้งนี้ ให้คำนึงถึงการพัฒนาที่ยั่งยืนในทุกองค์ประกอบ

   CLO1 The student will be able to identify logical forms and logical equivalence. CLO2 The student will be able to differentiate between valid and invalid arguments. CLO3 The student will be able to identify predicates and quantified statements. CLO4 The student will be able to perform a direct proof. CLO5 The student will be able to make an indirect argument. CLO6 The student will be able to perform mathematical induction. CLO7 The student will be able to formulate sequences. CLO8 The student will be able to find a solution of a recurrence relation. CLO9 The student will be able to define sets and their properties. CLO10 The student will be able to define functions and their properties. CLO11 The student will be able to define relations and their properties. CLO12 The student will be able to perform counting and calculate a probability value. CLO13 The student will be able to use a possibility tree and the multiplication rule to calculate a probability value. CLO14 The student will be able to use the addition rule to calculate a probability value.

7. Brief list of topics to be covered

8. Course Assessment