Information Package
baskent.edu.tr

Elementary Mathematics Education Program

EMT203

CALCULUS III

Course Code
EMT203
Semester
Third Term (Fall)
Theory+Practice
2 + 2
ECTS
5
Course TypeCompulsory Course
Course LevelBachelor's Degree
Year of Study2
SemesterThird Term (Fall)
ECTS5
Name of Lecturer(s)
Learning Outcomes

At the end of this course, the students;

  1. Will be able to investigate the convergence of the sequences.
  2. Will be able to know the convergence citerions of the series.
  3. Will be able to investigate the convergence of the sequences.
  4. Will be able to distinguish the concepts of pointwise convergence and uniform convergence.
  5. Will be able to write down the power series expansion of the given functions.
Mode of DeliveryFace to face
PrerequisitesNo
Recommended Optional Programme ComponentsEMT103, EMT104
Course DescriptionSequences, convergence of sequences, monotone sequences. The concept of series, divergence and convergence of series, positive term series and convergence criteria. Alternating series. Absolute and conditional convergence; Function sequences and the concept of uniform convergence; Function series, pointwise and uniform convergence in function series; Power series, convergence interval of power series, power series representations of functions; Taylor and Maclaurin series and applications.
Course Contents
WEEK TOPICS
1st Week Seequences, definition and properties
2nd Week Convergence and limit of sequences
3rd Week Infinite series, definitions and related concepts
4th Week Convergence of series
5th Week Positive series, convergence tests
6th Week Positive series, convergence tests
7th Week Alternating series and convergence
8th Week Midterm
9th Week Function arrays
10th Week Uniform convergence
11th Week Uniform and pointwise convergence of series of functions
12th Week Power series
13th Week Taylor and Maclaurin series of functions
14th Week Taylor and Maclaurin series of functions
15th Week General review
Recommended or Required Reading1. R. A. Adams, "Calculus 4th edition", Addison-Wesley, 1999
2. G. B. Thomas and R. L. Finney, "Calculus and analytic geometry, 9th edition", Addison-Wesley, 1998
3. Mustafa Balcı, "Analiz 1-2" Sürat Üniversite Yayınları
4. İbrahim Yalçınkaya, Analiz 3- Diziler ve Seriler
Planned Learning Activities and Teaching Methods
  • Lecture
  • Questions/Answers
  • Problem Solving
Assessment Methods and Criteria
Quantity Percentage (%)
Mid-term 1 40
Quiz 1 10
Total(%) 50
Contribution of In-term Studies to Overall Grade(%) 50
Contribution of Final Examination to Overall Grade(%) 50
Total(%) 100
ECTS Allocated Based on Student Workload
Activities Quantity Duration (Hour) Total Workload (Hour)
Midterm exam 1 2 2
Preparation for Quiz 1 8 8
Individual or group work 13 3 39
Preparation for Final exam 1 24 24
Course hours 13 4 52
Preparation for Midterm exam 1 23 23
Laboratory (including preparation)
Final exam 1 2 2
Homework
Total Work Load150
Total Work Load / 30 (h)5
ECTS Credit of the Course5
Language of InstructionTurkish
Work Placement(s)No

Programme Qualifications / Learning Outcomes

LO1 LO2 LO3 LO4 LO5
K1 X X
K2
K3 X X X X X
K4
K5 X X X X X
K6
K7 X X X X X
K8 X X X X X
K9 X X X X X
K10 X X X X X