Course Information


Course Information
Course Title Code Semester L+U Hour Credits ECTS
INFORMATION & COMMUNICATION TECHNOLOGIES AND MATHEMATICS II BÖZ118 2. Semester 3 + 0 3.0 5.0

Prerequisites None

Language of Instruction Turkish
Course Level Bachelor's Degree
Course Type Compulsory
Mode of delivery
Course Coordinator
Instructors
Assistants
Goals To be able to acquire mathematical concepts necessary for Computer Science, to acquire mathematical skills.
Course Content Univariate functions and their graphs, trigonometric identities and equations, limit and continuity of functions, derivatives and applications, drawing function graphs, integrals and applications, Riemann Sums, Definite Integral, Indefinite Integrals and Integration Techniques (Direct Integration, Substitution, Inverse Transformations, partial integration, integrals of trigonometric expressions, integrals of rational expressions), Applications of integral (area, arc length, volume), Generalized Integrals, Sequences, Series, Power Series, Convergence criteria of series.
Learning Outcomes 1) Recognizes the general concepts to be used in mathematics (function, graphs of functions, trigonometric identities, etc.)
2) Recognizes and finds trigonometric equations, systems of equations and inequalities and solution sets
3) Establishes the relationship between continuity and limit.
4) Knows the rules of taking limits.
5) Knows the properties of the derivative and can relate the derivative to real life.
6) Defines derivative and explains what it means physically.
7) Knows the properties of Riemann integral.
8) Understands the applications of definite integral.
9) Interprets the properties of generalized integrals.
10) Knows the concepts of series, series, power series and convergence.

Weekly Topics (Content)
Week Topics Teaching and Learning Methods and Techniques Study Materials
1. Week Real numbers and real number axis, Cartesian coordinates in the plane, functions and inverses of functions Lecture; Question Answer; Problem Solving
Brainstorming
Project Based Learning; Problem Based Learning 		Homework Presentation (Including Preparation Time) Project (Including Preparation and presentation Time)
2. Week Operations in functions and function graphs Lecture; Question Answer; Problem Solving
Brainstorming
Project Based Learning; Problem Based Learning 		Homework Presentation (Including Preparation Time)
3. Week Polynomial, rational, exponential and logarithmic, trigonometric functions Lecture; Question Answer; Problem Solving
Brainstorming
Project Based Learning; Problem Based Learning 		Homework Presentation (Including Preparation Time) Project (Including Preparation and presentation Time)
4. Week Trigonometric identities and trigonometric equations, systems of equations, inequalities and solution methods Lecture; Question Answer; Problem Solving
Brainstorming
Project Based Learning; Problem Based Learning 		Homework Presentation (Including Preparation Time) Project (Including Preparation and presentation Time)
5. Week Limit of functions, limits at infinity and infinite limits Lecture; Question Answer; Problem Solving
Brainstorming
Project Based Learning; Problem Based Learning 		Homework Presentation (Including Preparation Time) Project (Including Preparation and presentation Time)
6. Week Formal definition of continuity and limit Lecture; Question Answer; Problem Solving
Brainstorming
Project Based Learning; Problem Based Learning 		Homework Presentation (Including Preparation Time) Project (Including Preparation and presentation Time)
7. Week Midterm Question Answer
Brainstorming
Problem Based Learning 		Homework Project (Including Preparation and presentation Time)
8. Week Derivative and differentiation rules, chain rule, derivatives of trigonometric functions, higher order derivatives Lecture; Question Answer; Problem Solving
Brainstorming
Project Based Learning; Problem Based Learning 		Homework Presentation (Including Preparation Time) Project (Including Preparation and presentation Time)
9. Week Concave and convexity, maximum, minimum, and turning points, graphing a function Lecture; Question Answer; Problem Solving
Brainstorming
Project Based Learning; Problem Based Learning 		Homework Presentation (Including Preparation Time) Project (Including Preparation and presentation Time)
10. Week Integral, Riemann sum and sigma notation Lecture; Question Answer; Problem Solving
Brainstorming
Project Based Learning; Problem Based Learning 		Homework Presentation (Including Preparation Time) Project (Including Preparation and presentation Time)
11. Week Definite integral and its properties Lecture; Question Answer; Problem Solving
Brainstorming
 Homework Presentation (Including Preparation Time) Project (Including Preparation and presentation Time)
12. Week Finding the areas of regions in the plane with the help of integral Lecture; Question Answer; Problem Solving
Brainstorming
Project Based Learning; Problem Based Learning 		Homework Presentation (Including Preparation Time) Project (Including Preparation and presentation Time)
13. Week Generalized integral, sequences, series and power series Lecture; Question Answer; Problem Solving
Brainstorming
Project Based Learning; Problem Based Learning 		Homework Presentation (Including Preparation Time) Project (Including Preparation and presentation Time)
14. Week Convergence criteria for series Lecture; Question Answer; Problem Solving
Brainstorming
Project Based Learning; Problem Based Learning 		Homework Presentation (Including Preparation Time) Project (Including Preparation and presentation Time)

Sources Used in This Course
Recommended Sources
Büyükköse, Ş. & Çakır, Ö (2021). Ayrık Matematik Soru Çözümlü. İkinci Baskı. Nobel Akademik Yayıncılık Eğitim Danışmanlık Tic. Ltd. Şti. Ankara. Türkiye. ISBN: 978-605-7846-41-9.
Edwards&Penney, Calculus and analytic geometry
J. Kleinberg, E. Tardos. Algorithm Design. Addison-Wesley, 2005
Sara Baase, Allen Van Gelder, Computer Algorithms: Introduction to Design and Analysis (3rd edition), Addison-Wesley, 2000.
Thomas H. Cormen, Charles E. Leiserson, Ronald L. Rivest, Cliford Stein, Introduction to Algorithms, MIT Press.

ECTS credits and course workload
Event Quantity Duration (Hour) Total Workload (Hour)
Course Duration (Total weeks*Hours per week) 14 1
Work Hour outside Classroom (Preparation, strengthening) 5 1
Homework 3 1
Midterm Exam 1 1
Time to prepare for Midterm Exam 1 2
Final Exam 1 1
Time to prepare for Final Exam 1 2
1 1
1 1
Dönem İçi Notu (DİN) 1 20
Dönem Sonu Sınavı (DSS) 1 40
Total Workload
Total Workload / 30 (s)
ECTS Credit of the Course
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Course Information
  • Course Information
  • Weekly Topics (Content)
  • Sources Used in This Course
  • ECTS credits and course workload