İzmir Ekonomi Üniversitesi
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  • FACULTY OF ENGINEERING

    Department of Mechanical Engineering

    MATH 153 | Course Introduction and Application Information

    Course Name
    Calculus I
    Code
    Semester
    Theory
    (hour/week)
    Application/Lab
    (hour/week)
    Local Credits
    ECTS
    MATH 153
    Fall
    2
    2
    3
    6

    Prerequisites
    None
    Course Language
    English
    Course Type
    Required
    Course Level
    First Cycle
    Mode of Delivery -
    Teaching Methods and Techniques of the Course Discussion
    Problem Solving
    Lecture / Presentation
    National Occupation Classification -
    Course Coordinator
    Course Lecturer(s)
    Assistant(s)
    Course Objectives This course aims to built fundamentals of calculus and its applications for engineers
    Learning Outcomes
    #
    Content
    PC Sub
    * Contribution Level
    1
    2
    3
    4
    5
    1 find limits of functions.
    2 investigate continuity of functions.
    3compute derivatives of explicit and implicit functions.
    4solve related rates problems.
    5classify critical points of functions.
    6sketch graphs of functions.
    7solve extreme value problems.
    8compute areas of plane regions.
    Course Description Calculus I provides important tools in understanding functions of one variable and has led to the development of new areas of mathematics.

     



    Course Category

    Core Courses
    Major Area Courses
    Supportive Courses
    Media and Management Skills Courses
    Transferable Skill Courses

     

    WEEKLY SUBJECTS AND RELATED PREPARATION STUDIES

    Week Subjects Related Preparation Learning Outcome
    1 Graphs of quadratic functions, Polynomials and rational functions, the trigonometric functions, examples of velocity, growth rate and area Robert A. Adams, Christopher Essex, Calculus, "A complete course", 9th edition , (Pearson, 2018)Section P3, P6, P7, 1.1
    2 Limits of Functions, limits at infinity and infinite limits Robert A. Adams, Christopher Essex, Calculus, "A complete course", 9th edition , (Pearson, 2018) Section 1.2, 1.3
    3 Continuity, tangent lines and their slopes Robert A. Adams, Christopher Essex, Calculus, "A complete course", 9th edition , (Pearson, 2018) Section 1.4, 2.1.
    4 The derivative, differentiation rules, the chain rule, derivatives of trigonometric functions Robert A. Adams, Christopher Essex, Calculus, "A complete course", 9th edition , (Pearson, 2018) Section 2.2, 2.3,2.4, 2.5.
    5 Higher-order derivatives, the mean value theorem Robert A. Adams, Christopher Essex, Calculus, "A complete course", 9th edition , (Pearson, 2018) Section 2.6, 2.8.
    6 Implicit differentiation, inverse functions, Exponential and logarithmic functions Robert A. Adams, Christopher Essex, Calculus, "A complete course", 9th edition , (Pearson, 2018)Section 2.9, 3.1, 3.2
    7 The natural logarithm and exponential. The inverse trigonometric functions Robert A. Adams, Christopher Essex, Calculus, "A complete course", 9th edition , (Pearson, 2018) Section 3.3,3.5
    8 Midterm
    9 Related rates, indeterminate forms Robert A. Adams, Christopher Essex, Calculus, "A complete course", 9th edition , (Pearson, 2018) Section 4.1, 4.3.
    10 Extreme values, concavity and inflections Robert A. Adams, Christopher Essex, Calculus, "A complete course", 9th edition , (Pearson, 2018) Section 4.4, 4.5
    11 Sketching the graph of a function, extreme value problems Robert A. Adams, Christopher Essex, Calculus, "A complete course", 9th edition , (Pearson, 2018) Section 4.6, 4.8
    12 Extreme value problems properties of the definite integral.The fundamental theorem of calculus Robert A. Adams, Christopher Essex, Calculus, "A complete course", 9th edition , (Pearson, 2018) , Section 4.8, 5.4.5,5
    13 The method of substitution Robert A. Adams, Christopher Essex, Calculus, "A complete course", 9th edition , (Pearson, 2018) Section 5.6
    14 The method of substitution, areas of plane regions Robert A. Adams, Christopher Essex, Calculus, "A complete course", 9th edition , (Pearson, 2018)Section 5.6, 5.7
    15 Semester review
    16 Final exam

     

    Course Notes/Textbooks

    "Calculus, A complete course" by Robert A.Adams & Christopher Essex, Publisher: Prentice Hall, 9th edition,2013. ISBN-13: 978-0134154367.

     

    Suggested Readings/Materials

    ''Calculus, Early Transcendentals'',James Stewart, Cengage Learning; 7th edition, 2010.ISBN-13:978-0538497909

     

    EVALUATION SYSTEM

    Semester Activities Number Weigthing LO 1 LO 2 LO 3 LO 4 LO 5 LO 6 LO 7 LO 8
    Participation
    Laboratory / Application
    Field Work
    Quizzes / Studio Critiques
    4
    20
    Portfolio
    Homework / Assignments
    Presentation / Jury
    Project
    Seminar / Workshop
    Oral Exams
    Midterm
    1
    30
    Final Exam
    1
    50
    Total

    Weighting of Semester Activities on the Final Grade
    5
    50
    Weighting of End-of-Semester Activities on the Final Grade
    1
    50
    Total

    ECTS / WORKLOAD TABLE

    Semester Activities Number Duration (Hours) Workload
    Theoretical Course Hours
    (Including exam week: 16 x total hours)
    16
    2
    32
    Laboratory / Application Hours
    (Including exam week: '.16.' x total hours)
    16
    2
    32
    Study Hours Out of Class
    14
    3
    42
    Field Work
    0
    Quizzes / Studio Critiques
    4
    6
    24
    Portfolio
    0
    Homework / Assignments
    0
    Presentation / Jury
    0
    Project
    0
    Seminar / Workshop
    0
    Oral Exam
    0
    Midterms
    1
    20
    20
    Final Exam
    1
    30
    30
        Total
    180

     

    COURSE LEARNING OUTCOMES AND PROGRAM QUALIFICATIONS RELATIONSHIP

    #
    PC Sub Program Competencies/Outcomes
    * Contribution Level
    1
    2
    3
    4
    5
    1

    To have adequate knowledge in Mathematics, Mathematics based physics, statistics and linear algebra and Mechanical Engineering; to be able to use theoretical and applied information in these areas on complex engineering problems.

    -
    -
    -
    -
    X
    2

    To be able to identify, define, formulate, and solve complex Mechanical Engineering problems; to be able to select and apply proper analysis and modeling methods for this purpose.

    -
    -
    -
    -
    -
    3

    To be able to design a thermal and mechanical system, process, device or product under realistic constraints and conditions, in such a way as to meet the requirements; to be able to apply modern design methods for this purpose.

    -
    -
    -
    -
    -
    4

    To be able to devise, select, and use modern techniques and tools needed for analysis and solution of complex problems in engineering applications.

    -
    -
    -
    -
    -
    5

    To be able to design and conduct experiments, gather data, analyze and interpret results for investigating complex engineering problems or Mechanical Engineering research topics.

    -
    -
    -
    -
    -
    6

    To be able to work efficiently in Mechanical Engineering disciplinary and multi-disciplinary teams; to be able to work individually.

    -
    -
    -
    -
    -
    7

    To be able to communicate effectively in Turkish, both orally and in writing; to be able to author and comprehend written reports, to be able to prepare design and implementation reports, to present effectively, to be able to give and receive clear and comprehensible instructions.

    -
    -
    -
    -
    -
    8

    To have knowledge about global and social impact of engineering practices on health, environment, and safety; to have knowledge about contemporary issues as they pertain to engineering; to be aware of the legal ramifications of engineering solutions.

    -
    -
    -
    -
    -
    9

    To be aware of ethical behavior, professional and ethical responsibility; to have knowledge about standards utilized in engineering applications.

    -
    -
    -
    -
    -
    10

    To have knowledge about industrial practices such as project management, risk management, and change management; to have awareness of entrepreneurship and innovation; to have knowledge about sustainable development.

    -
    -
    -
    -
    -
    11

    To be able to collect data in the area of Mechanical Engineering, and to be able to communicate with colleagues in a foreign language.

    -
    -
    -
    -
    -
    12

    To be able to speak a second foreign language at a medium level of fluency efficiently.

    -
    -
    -
    -
    -
    13

    To recognize the need for lifelong learning; to be able to access information, to be able to stay current with developments in science and technology; to be able to relate the knowledge accumulated throughout the human history to Mechanical Engineering.

    -
    -
    -
    -
    -

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

     


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