COURSE OUTLINE
1. Suject SCMA606 TOPOLOGY
วทคณ๖๐๖ ทอพอโลยี
2. Program/Course Type MASTER OF SCIENCE PROGRAM IN APPLIED MATHEMATICS
3. Course Objecttive 1. CLO1: Explain terms, definitions and theorems related to topology
2. CLO1: Explain terms, definitions and theorems related to topology
3. CLO2: Prove if given spaces are connected, compact, local compact, paracompact, complete, first-countable, second-countable, separable, Hausdorff, regular, and normal
4. CLO2: Prove if given spaces are connected, compact, local compact, paracompact, complete, first-countable, second-countable, separable, Hausdorff, regular, and normal
5. CLO3: Compute homotopy, fundamental group, and homology
6. CLO3: Compute homotopy, fundamental group, and homology
7. CLO4: Apply theoretical concepts in topology to solve problems
8. CLO4: Apply theoretical concepts in topology to solve problems
4. Course Director Lect.Dr. NATTAPONG BOSUWAN
5. Teaching Plan
week/No.Tiltlelecture hourLaboratory HourSelf study HourActivitiesTeacher
01Topological spaces3 0 6 Teaching method:
Interactive lecture, effective questioning, formative assessment, problem solving, problem based activities

Media:
lecture notes, slides, individual assignments
รศ.ดร. ณัฐพงษ์ โบสุวรรณ, รศ.ดร. ณัฐพงษ์ โบสุวรรณ
01Topological spaces3 0 6 Teaching method:
Interactive lecture, effective questioning, formative assessment, problem solving, problem based activities

Media:
lecture notes, slides, individual assignments
รศ.ดร. ณัฐพงษ์ โบสุวรรณ, รศ.ดร. ณัฐพงษ์ โบสุวรรณ
02Metric spaces3 0 6 Teaching method:
Interactive lecture, effective questioning, formative assessment, problem solving, problem based activities

Media:
lecture notes, slides, individual assignments
รศ.ดร. ณัฐพงษ์ โบสุวรรณ, รศ.ดร. ณัฐพงษ์ โบสุวรรณ
02Metric spaces3 0 6 Teaching method:
Interactive lecture, effective questioning, formative assessment, problem solving, problem based activities

Media:
lecture notes, slides, individual assignments
รศ.ดร. ณัฐพงษ์ โบสุวรรณ, รศ.ดร. ณัฐพงษ์ โบสุวรรณ
03Connectedness3 0 6 Teaching method:
Interactive lecture, effective questioning, formative assessment, problem solving, problem based activities

Media:
lecture notes, slides, individual assignments
รศ.ดร. ณัฐพงษ์ โบสุวรรณ, รศ.ดร. ณัฐพงษ์ โบสุวรรณ
03Connectedness3 0 6 Teaching method:
Interactive lecture, effective questioning, formative assessment, problem solving, problem based activities

Media:
lecture notes, slides, individual assignments
รศ.ดร. ณัฐพงษ์ โบสุวรรณ, รศ.ดร. ณัฐพงษ์ โบสุวรรณ
04Compactness3 0 6 Teaching method:
Interactive lecture, effective questioning, formative assessment, problem solving, problem based activities

Media:
lecture notes, slides, individual assignments
รศ.ดร. ณัฐพงษ์ โบสุวรรณ, รศ.ดร. ณัฐพงษ์ โบสุวรรณ
04Compactness3 0 6 Teaching method:
Interactive lecture, effective questioning, formative assessment, problem solving, problem based activities

Media:
lecture notes, slides, individual assignments
รศ.ดร. ณัฐพงษ์ โบสุวรรณ, รศ.ดร. ณัฐพงษ์ โบสุวรรณ
05Local Compactness3 0 6 Teaching method:
Interactive lecture, effective questioning, formative assessment, problem solving, problem based activities

Media:
lecture notes, slides, individual assignments
รศ.ดร. ณัฐพงษ์ โบสุวรรณ, รศ.ดร. ณัฐพงษ์ โบสุวรรณ
05Local Compactness3 0 6 Teaching method:
Interactive lecture, effective questioning, formative assessment, problem solving, problem based activities

Media:
lecture notes, slides, individual assignments
รศ.ดร. ณัฐพงษ์ โบสุวรรณ, รศ.ดร. ณัฐพงษ์ โบสุวรรณ
06Paracompactness3 0 6 Teaching method:
Interactive lecture, effective questioning, formative assessment, problem solving, problem based activities

Media:
lecture notes, slides, individual assignments
รศ.ดร. ณัฐพงษ์ โบสุวรรณ, รศ.ดร. ณัฐพงษ์ โบสุวรรณ
06Paracompactness3 0 6 Teaching method:
Interactive lecture, effective questioning, formative assessment, problem solving, problem based activities

Media:
lecture notes, slides, individual assignments
รศ.ดร. ณัฐพงษ์ โบสุวรรณ, รศ.ดร. ณัฐพงษ์ โบสุวรรณ
07Partition of unity3 0 6 Teaching method:
Interactive lecture, effective questioning, formative assessment, problem solving, problem based activities

Media:
lecture notes, slides, individual assignments
รศ.ดร. ณัฐพงษ์ โบสุวรรณ, รศ.ดร. ณัฐพงษ์ โบสุวรรณ
07Partition of unity3 0 6 Teaching method:
Interactive lecture, effective questioning, formative assessment, problem solving, problem based activities

Media:
lecture notes, slides, individual assignments
รศ.ดร. ณัฐพงษ์ โบสุวรรณ, รศ.ดร. ณัฐพงษ์ โบสุวรรณ
08Countability and Separation Axioms3 0 6 Teaching method:
Interactive lecture, effective questioning, formative assessment, problem solving, problem based activities

Media:
lecture notes, slides, individual assignments
รศ.ดร. ณัฐพงษ์ โบสุวรรณ, รศ.ดร. ณัฐพงษ์ โบสุวรรณ
08Countability and Separation Axioms3 0 6 Teaching method:
Interactive lecture, effective questioning, formative assessment, problem solving, problem based activities

Media:
lecture notes, slides, individual assignments
รศ.ดร. ณัฐพงษ์ โบสุวรรณ, รศ.ดร. ณัฐพงษ์ โบสุวรรณ
09Midterm examination
09Midterm examination
10Completeness3 0 6 Teaching method:
Interactive lecture, effective questioning, formative assessment, problem solving, problem based activities

Media:
lecture notes, slides, individual assignments
รศ.ดร. ณัฐพงษ์ โบสุวรรณ, รศ.ดร. ณัฐพงษ์ โบสุวรรณ
10Completeness3 0 6 Teaching method:
Interactive lecture, effective questioning, formative assessment, problem solving, problem based activities

Media:
lecture notes, slides, individual assignments
รศ.ดร. ณัฐพงษ์ โบสุวรรณ, รศ.ดร. ณัฐพงษ์ โบสุวรรณ
11Topology of function spaces3 0 6 Teaching method:
Interactive lecture, effective questioning, formative assessment, problem solving, problem based activities

Media:
lecture notes, slides, individual assignments
รศ.ดร. ณัฐพงษ์ โบสุวรรณ, รศ.ดร. ณัฐพงษ์ โบสุวรรณ
11Topology of function spaces3 0 6 Teaching method:
Interactive lecture, effective questioning, formative assessment, problem solving, problem based activities

Media:
lecture notes, slides, individual assignments
รศ.ดร. ณัฐพงษ์ โบสุวรรณ, รศ.ดร. ณัฐพงษ์ โบสุวรรณ
12Homotopy3 0 6 Teaching method:
Interactive lecture, effective questioning, formative assessment, problem solving, problem based activities

Media:
lecture notes, slides, individual assignments
รศ.ดร. ณัฐพงษ์ โบสุวรรณ, รศ.ดร. ณัฐพงษ์ โบสุวรรณ
12Homotopy3 0 6 Teaching method:
Interactive lecture, effective questioning, formative assessment, problem solving, problem based activities

Media:
lecture notes, slides, individual assignments
รศ.ดร. ณัฐพงษ์ โบสุวรรณ, รศ.ดร. ณัฐพงษ์ โบสุวรรณ
13Fundamental group3 0 6 Teaching method:
Interactive lecture, effective questioning, formative assessment, problem solving, problem based activities

Media:
lecture notes, slides, individual assignments
รศ.ดร. ณัฐพงษ์ โบสุวรรณ, รศ.ดร. ณัฐพงษ์ โบสุวรรณ
13Fundamental group3 0 6 Teaching method:
Interactive lecture, effective questioning, formative assessment, problem solving, problem based activities

Media:
lecture notes, slides, individual assignments
รศ.ดร. ณัฐพงษ์ โบสุวรรณ, รศ.ดร. ณัฐพงษ์ โบสุวรรณ
14-16Homology9 0 18 Teaching method:
Interactive lecture, effective questioning, formative assessment, problem solving, problem based activities

Media:
lecture notes, slides, individual assignments
รศ.ดร. ณัฐพงษ์ โบสุวรรณ, รศ.ดร. ณัฐพงษ์ โบสุวรรณ
14-16Homology9 0 18 Teaching method:
Interactive lecture, effective questioning, formative assessment, problem solving, problem based activities

Media:
lecture notes, slides, individual assignments
รศ.ดร. ณัฐพงษ์ โบสุวรรณ, รศ.ดร. ณัฐพงษ์ โบสุวรรณ
17Final examination
17Final examination
6. Textbook
-