COURSE OUTLINE
1. Suject SCMA618 SPECIAL TOPICS IN APPLIED MATH
2. Program/Course Type MASTER OF SCIENCE PROGRAM IN APPLIED MATHEMATICS
3. Course Objecttive 1. CLO1: Do assigned problems independently
2. CLO1: Do assigned problems independently
3. CLO2: Recognize the least upper bounds, greatest lower bounds, countable and uncountable sets, convergent, divergent, bounded, Cauchy and monotone sequences
4. CLO2: Recognize the least upper bounds, greatest lower bounds, countable and uncountable sets, convergent, divergent, bounded, Cauchy and monotone sequences
5. CLO3: Calculate the limit superior, limit inferior, limit of a sequence
6. CLO3: Calculate the limit superior, limit inferior, limit of a sequence
7. CLO4: Determine if subsets of a metric space are open, closed, connected, bounded, or compact and if a function on a metric space is discontinuous, continuous, or uniformly continuous
8. CLO4: Determine if subsets of a metric space are open, closed, connected, bounded, or compact and if a function on a metric space is discontinuous, continuous, or uniformly continuous
9. CLO5: Prove set theoretic statements on basic topology, sequence, series, limits, continuity, convergence, derivatives and integrals
10. CLO5: Prove set theoretic statements on basic topology, sequence, series, limits, continuity, convergence, derivatives and integrals
11. CLO6: Apply theorems on basic topology, sequence, series, limits, continuity, convergence, deriva-tives and integrals to solve related problems
12. CLO6: Apply theorems on basic topology, sequence, series, limits, continuity, convergence, derivatives and integrals to solve related problems
4. Course Director Lect.Dr. RUTH J. SKULKHU
5. Teaching Plan
week/No.Tiltlelecture hourLaboratory HourSelf study HourActivitiesTeacher
01Finite, Countable, and Uncountable Sets; ethics and ethical consideration in the use of ideas, data and technology3 0 6 Teaching method:
Interactive lecture, effective questioning, formative assessment, problem solving, problem based activities

Media:
lecture notes, slides, individual assignments
ผศ.ดร. สมศักดิ์ โอฬารกิจเจริญ, ผศ.ดร. สมศักดิ์ โอฬารกิจเจริญ
01Finite, Countable, and Uncountable Sets; ethics and ethical consideration in the use of ideas, data and technology3 0 6 Teaching method:
Interactive lecture, effective questioning, formative assessment, problem solving, problem based activities

Media:
lecture notes, slides, individual assignments
ผศ.ดร. สมศักดิ์ โอฬารกิจเจริญ, ผศ.ดร. สมศักดิ์ โอฬารกิจเจริญ
02Metric Spaces3 0 6 Teaching method:
Interactive lecture, effective questioning, formative assessment, problem solving, problem based activities

Media:
lecture notes, slides, individual assignments
ผศ.ดร. สมศักดิ์ โอฬารกิจเจริญ, ผศ.ดร. สมศักดิ์ โอฬารกิจเจริญ
02Metric Spaces3 0 6 Teaching method:
Interactive lecture, effective questioning, formative assessment, problem solving, problem based activities

Media:
lecture notes, slides, individual assignments
ผศ.ดร. สมศักดิ์ โอฬารกิจเจริญ, ผศ.ดร. สมศักดิ์ โอฬารกิจเจริญ
03Compact Sets3 0 6 Teaching method:
Interactive lecture, effective questioning, formative assessment, problem solving, problem based activities

Media:
lecture notes, slides, individual assignments
ผศ.ดร. สมศักดิ์ โอฬารกิจเจริญ, ผศ.ดร. สมศักดิ์ โอฬารกิจเจริญ
03Compact Sets3 0 6 Teaching method:
Interactive lecture, effective questioning, formative assessment, problem solving, problem based activities

Media:
lecture notes, slides, individual assignments
ผศ.ดร. สมศักดิ์ โอฬารกิจเจริญ, ผศ.ดร. สมศักดิ์ โอฬารกิจเจริญ
04Connected Sets3 0 6 Teaching method:
Interactive lecture, effective questioning, formative assessment, problem solving, problem based activities

Media:
lecture notes, slides, individual assignments
ผศ.ดร. สมศักดิ์ โอฬารกิจเจริญ, ผศ.ดร. สมศักดิ์ โอฬารกิจเจริญ
04Connected Sets3 0 6 Teaching method:
Interactive lecture, effective questioning, formative assessment, problem solving, problem based activities

Media:
lecture notes, slides, individual assignments
ผศ.ดร. สมศักดิ์ โอฬารกิจเจริญ, ผศ.ดร. สมศักดิ์ โอฬารกิจเจริญ
05-07Numerical Sequences and Series9 0 18 Teaching method:
Interactive lecture, effective questioning, formative assessment, problem solving, problem based activities

Media:
lecture notes, slides, individual assignments
ผศ.ดร. สมศักดิ์ โอฬารกิจเจริญ, ผศ.ดร. สมศักดิ์ โอฬารกิจเจริญ
05-07Numerical Sequences and Series9 0 18 Teaching method:
Interactive lecture, effective questioning, formative assessment, problem solving, problem based activities

Media:
lecture notes, slides, individual assignments
ผศ.ดร. สมศักดิ์ โอฬารกิจเจริญ, ผศ.ดร. สมศักดิ์ โอฬารกิจเจริญ
08Continuity3 0 6 Teaching method:
Interactive lecture, effective questioning, formative assessment, problem solving, problem based activities

Media:
lecture notes, slides, individual assignments
ผศ.ดร. สมศักดิ์ โอฬารกิจเจริญ, ผศ.ดร. สมศักดิ์ โอฬารกิจเจริญ
08Continuity3 0 6 Teaching method:
Interactive lecture, effective questioning, formative assessment, problem solving, problem based activities

Media:
lecture notes, slides, individual assignments
ผศ.ดร. สมศักดิ์ โอฬารกิจเจริญ, ผศ.ดร. สมศักดิ์ โอฬารกิจเจริญ
09Midterm examination
09Midterm examination
10Continuity3 0 6 Teaching method:
Interactive lecture, effective questioning, formative assessment, problem solving, problem based activities

Media:
lecture notes, slides, individual assignments
ผศ.ดร. สมศักดิ์ โอฬารกิจเจริญ, ผศ.ดร. สมศักดิ์ โอฬารกิจเจริญ
10Continuity3 0 6 Teaching method:
Interactive lecture, effective questioning, formative assessment, problem solving, problem based activities

Media:
lecture notes, slides, individual assignments
ผศ.ดร. สมศักดิ์ โอฬารกิจเจริญ, ผศ.ดร. สมศักดิ์ โอฬารกิจเจริญ
11-13Differentiation9 0 18 Teaching method:
Interactive lecture, effective questioning, formative assessment, problem solving, problem based activities

Media:
lecture notes, slides, individual assignments
ผศ.ดร. สมศักดิ์ โอฬารกิจเจริญ, ผศ.ดร. สมศักดิ์ โอฬารกิจเจริญ
11-13Differentiation9 0 18 Teaching method:
Interactive lecture, effective questioning, formative assessment, problem solving, problem based activities

Media:
lecture notes, slides, individual assignments
ผศ.ดร. สมศักดิ์ โอฬารกิจเจริญ, ผศ.ดร. สมศักดิ์ โอฬารกิจเจริญ
14-16Riemann-Stieltjes Integral9 0 18 Teaching method:
Interactive lecture, effective questioning, formative assessment, problem solving, problem based activities

Media:
lecture notes, slides, individual assignments
ผศ.ดร. สมศักดิ์ โอฬารกิจเจริญ, ผศ.ดร. สมศักดิ์ โอฬารกิจเจริญ
14-16Riemann-Stieltjes Integral9 0 18 Teaching method:
Interactive lecture, effective questioning, formative assessment, problem solving, problem based activities

Media:
lecture notes, slides, individual assignments
ผศ.ดร. สมศักดิ์ โอฬารกิจเจริญ, ผศ.ดร. สมศักดิ์ โอฬารกิจเจริญ
17Final examination
17Final examination
6. Textbook
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