ACADEMICS
Course Detail

MAT 123 Mathematics I
2017-2018 Fall term information

The course is open this term
Section: 02
Supervisor(s):Bülent Saraç
PlaceDayHours
E1Wednesday10:00 - 11:45
E1Thursday13:00 - 14:45
E1Friday11:00 - 12:45
Section: 05
Supervisor(s):Mesut Şahin
PlaceDayHours
E2Wednesday10:00 - 11:45
E2Thursday13:00 - 14:45
E2Friday15:00 - 16:45

Timing data are obtained using weekly schedule program tables. To make sure whether the course is cancelled or time-shifted for a specific week one should consult the supervisor and/or follow the announcements.

Course definition tables are extracted from the ECTS Course Catalog web site of Hacettepe University (http://ects.hacettepe.edu.tr) in real-time and displayed here. Please check the appropriate page on the original site against any technical problems.

MAT123 - MATHEMATICS I

Course Name Code Semester Theory
(hours/week)
Application
(hours/week)
Credit ECTS
MATHEMATICS I MAT123 1st Semester 4 2 5 6
Prerequisite(s)
Course languageEnglish
Course typeMust 
Mode of DeliveryFace-to-Face 
Learning and teaching strategiesLecture
Discussion
Question and Answer
 
Instructor (s)Instructors of department of mathematics 
Course objectiveThe aim of this course is to give an introductory course on basics of analysis, to teach limit, derivative, integral concepts and their applications. 
Learning outcomes
  1. Define basic functions, take the limit of functions and investigate their continuity,
  2. take the derivatives of functions, using derivative a student can sketch and interpret the graph of functions,
  3. solve maximum and minimum problems,
  4. classify integrals, use techniques of integration,
  5. define and classify improper integrals,
  6. apply derivative and integral concepts to his/her profession.
  7. define sequences, analyize the convergence of sequences, can recognize series and use convergence tests for series, can find Taylor and maclaurin series expansion of given functions.
Course ContentFunctions
Limit and continuity
Derivatives and its applications, Cuve sketching
Maximum and minimum problems
Integral and area calculations
Definite and indefinite integrals
Techniques of integration
Improper İntegrals
Applications of integration-volume, area of surfaces, arc lenght of curves
Sequences and series, Convergence tests for series
Taylor and Maclaurin series
 
ReferencesThomas, Calculus and Analytic Geometry, Addison-Wesley 1996.
Silverman R.A, Calculus with analytic geometry, Prentice-Hall Inc. 1985.
Adams, R.A, Calculus, a complete course, Addison-Wesley 2003.
Balcı M., Temel ve Genel Matematik I& II, Balcı Yayınları 2000.
 

Course outline weekly

WeeksTopics
Week 1Functions general overview
Week 2Limit and continuity, limits involving infinity, asymptotes
Week 3Derivative and its applications-Chain rule, Mean Value theorem, Rolle?s theorem
Week 4Curve sketching-Concavity, concave up, concave down
Week 5Maximum and minimum problems
Week 6Midterm exam
Week 7Introduction to integration
Week 8Definite integrals and fundamental theorem of calculus
Week 9Techniques of integration- Integration by parts, trigonometric integrals, integration of Rational functions
Week 10Improper integrals and Applications of integration
Week 11Midterm exam
Week 12Sequences and series-convergence and divergence
Week 13Convergence tests for series- Integral test, comparison test, the root and ratio test, Alternating series
Week 14Taylor and Maclaurin series
Week 15Final preparation
Week 16Final exam

Assesment methods

Course activitiesNumberPercentage
Attendance00
Laboratory00
Application00
Field activities00
Specific practical training00
Assignments00
Presentation00
Project00
Seminar00
Midterms250
Final exam150
Total100
Percentage of semester activities contributing grade succes050
Percentage of final exam contributing grade succes050
Total100

Workload and ECTS calculation

Activities Number Duration (hour) Total Work Load
Course Duration (x14) 14 4 56
Laboratory 0 0 0
Application14228
Specific practical training000
Field activities000
Study Hours Out of Class (Preliminary work, reinforcement, ect)14456
Presentation / Seminar Preparation000
Project000
Homework assignment000
Midterms (Study duration)21224
Final Exam (Study duration) 11616
Total Workload4538180

Matrix Of The Course Learning Outcomes Versus Program Outcomes

D.9. Key Learning OutcomesContrubition level*
12345
1. PO1. Possesses the theoretical and practical knowledge required in Electrical and Electronics Engineering discipline.     X
2. PO2. Utilizes his/her theoretical and practical knowledge in the fields of mathematics, science and electrical and electronics engineering towards finding engineering solutions.    X
3. PO3. Determines and defines a problem in electrical and electronics engineering, then models and solves it by applying the appropriate analytical or numerical methods.   X  
4. PO4. Designs a system under realistic constraints using modern methods and tools.X    
5. PO5. Designs and performs an experiment, analyzes and interprets the results. X   
6. PO6. Possesses the necessary qualifications to carry out interdisciplinary work either individually or as a team member. X    
7. PO7. Accesses information, performs literature search, uses databases and other knowledge sources, follows developments in science and technology. X   
8. PO8. Performs project planning and time management, plans his/her career development.X    
9. PO9. Possesses an advanced level of expertise in computer hardware and software, is proficient in using information and communication technologies. X   
10. PO10. Is competent in oral or written communication; has advanced command of English.  X  
11. PO11. Has an awareness of his/her professional, ethical and social responsibilities.X    
12. PO12. Has an awareness of the universal impacts and social consequences of engineering solutions and applications; is well-informed about modern-day problems.X    
13. PO13. Is innovative and inquisitive; has a high level of professional self-esteem.  X  

*1 Lowest, 2 Low, 3 Average, 4 High, 5 Highest

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