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Course Description Course Name : Mathematics 1 Course Code : IMZ101 Course Type : Compulsory Level of Course : First Cycle Year of Study : 1 Course Semester : Fall (16 Weeks) ECTS : 6 Name of Lecturer(s) : Assoc.Prof.Dr. ALİ HAMZA TANRIKULU Learning Outcomes of the Course : Is knowledgeable about Solution Techniques of Mathematical Problems in Engineering Analysis Mode of Delivery : Face-to-Face Prerequisites and Co-Prerequisites : None Recommended Optional Programme Components : None Aim(s) of Course : Teaching the concepts of limit and derivative and their applications in engineering Course Contents : Calculus and Engineering Applications Language of Instruction : Turkish Work Place : Classroom   Course Outline /Schedule (Weekly) Planned Learning Activities Week Subject Student's Preliminary Work Learning Activities and Teaching Methods 1 Real Numbers, Real Axis, inequalities, absolute value, Cartesian coordinates, graph an equation or inequality Lecture Notes Written presentation 2 Functions, Functions Chart, Single and Dual Functions, Composite Functions, Partial Functions Lecture Notes Written presentation 3 Trigonometric functions, Addition Formulas, Sine and Cosine Rule Lecture Notes Written presentation 4 Informal definition of Limit, Limit of a Function, Limit Rules, One-Sided Limits Lecture Notes Written presentation 5 Limit of polynomial and rational functions, Infinity Limit, Limit at infinity Lecture Notes Written presentation 6 Continuity at a point, right and left continuity, Continuity at an interval, Continuous Functions Lecture Notes Written presentation 7 Derivatives, Tangent Line and Instant Speed Problem, Rate of Change of a Function Lecture Notes Written presentation 8 Mid-Term Exam Exam Exam 9 Power Rule, Other Derivative Rules, Derivatives of composite functions, Chain rule Lecture Notes Written presentation 10 Implicit Differentiation, Higher Order Derivatives, Higher Order Derivatives of Implicit Functions Lecture Notes Written presentation 11 One-to-One Functions, Inverse Functions, Inverse Functions Properties, Inverse trigonometric functions Lecture Notes Written presentation 12 Exponential Function, Exponential Function Rules, Logarithm function, Logarithm rules, Exponential and Logarithm Functions Derivatives, Logarithmic derivative Lecture Notes Written presentation 13 Hyperbolic Functions, Inverse Hyperbolic Functions, Increasing and Decreasing Functions, Extreme Values of a Function Lecture Notes Written presentation 14 First Derivative Test, Second Derivative Test, Concavity of a function, Inflection Points, Oblique asymptote, Graph Drawing Lecture Notes Written presentation 15 Maximum and Minimum Problems, Indeterminate Forms, L´Hospital Rule Lecture Notes Written presentation 16/17 Final Exam Exam Exam   Required Course Resources Resource Type Resource Name Recommended Course Material(s)  1. STEWART, J., Kalkülüs Diferansiyel ve İntegral Hesap Kavram ve Kapsam. Türkiye Bilimler Akademisi, Ankara, 990 s. Required Course Material(s)   Assessment Methods and Assessment Criteria Semester/Year Assessments Number Contribution Percentage     Mid-term Exams (Written, Oral, etc.) 1 100     Homeworks/Projects/Others 0 0 Total 100 Rate of Semester/Year Assessments to Success 40   Final Assessments 100 Rate of Final Assessments to Success 60 Total 100   Contribution of the Course to Key Learning Outcomes # Key Learning Outcome Contribution* 1 Designs a system, a component or a process in order to meet the needs of various engineering problems within technical, economic, environmental, manufacturability, sustainability limitations. 1 2 Identifies proper sources of information and databases, reaches them and uses them efficiently. 2 3 Follows the advancements in science and technology being aware of the necessity of lifelong learning and continuously improves her/himself. 2 4 Uses the computers and information technologies related with civil engineering actively. 0 5 Gains the ability to communicate effectively both orally and in writing. 0 6 Communicates using technical drawing 0 7 Has an understanding of entrepreneurship and innovation subjects, and is knowledgeable of contemporary issues. 0 8 Has an awareness of professional and ethical responsibility 3 9 Has the required knowledge in project management, workplace practices, employee health, environmental and occupational safety; and the legal implications of engineering applications. 0 10 Has the basic knowledge of math, science and civil engineering 3 11 Has a good commman of basic concepts, theories and principles in civil engineering. 4 12 Independently reviews and learns the applications, makes a critical assessment of the problems faced with, selects the proper technique to formulate problems and propose solutions 2 13 Selects and uses the modern techniques and tools necessary for engineering practice 1 14 Designs and carries out experiments in the fields of civil engineering, and interprets the results and the data obtained from the experiments 0 15 Gains the abiltiy to work effectively as a member in interdisciplinary teams 0 16 Constantly improves her/himself by identifying the training needs in scientific, cultural, artistic and social fields. 0 17 Continuously improves her/himself by defining necessities in learning in scientific, social, cultural and artistic areas besides the occupational requirements. 0 * Contribution levels are between 0 (not) and 5 (maximum).   Student Workload - ECTS Works Number Time (Hour) Total Workload (Hour) Course Related Works     Class Time (Exam weeks are excluded) 14 3 42     Out of Class Study (Preliminary Work, Practice) 14 6 84 Assesment Related Works     Homeworks, Projects, Others 0 0 0     Mid-term Exams (Written, Oral, etc.) 1 10 10     Final Exam 1 10 10 Total Workload: 146 Total Workload / 25 (h): 5.84 ECTS Credit: 6