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Course Description Course Name : Engineering Mathematics I Course Code : ME 151 Course Type : Compulsory Level of Course : First Cycle Year of Study : 1 Course Semester : Fall (16 Weeks) ECTS : 5 Name of Lecturer(s) : Prof.Dr. VEBİL YILDIRIM Learning Outcomes of the Course : Is equipped with basic knowledge of mathematics and its applications Gains problem solving skills Understands the connection between engineering and mathematics Mode of Delivery : Face-to-Face Prerequisites and Co-Prerequisites : None Recommended Optional Programme Components : None Aim(s) of Course : To equip students with the knowledge of basic engineering mathematics and applications of this information to teach the Mechanical Engineering Course Contents : Introduction to the concepts of function, limit, continuity, derivatives, definition of differentials and their geometrical understanding and applications (increasing and decreasing functions, and searching the turning points, maximum and minimum points). Introduction to exponential, logarithmic, hyperbolic and inverse trigonometric functions and their derivatives. Definite integrals and their uses. Language of Instruction : English Work Place : Mechanical Eng. Lab.   Course Outline /Schedule (Weekly) Planned Learning Activities Week Subject Student's Preliminary Work Learning Activities and Teaching Methods 1 Chapter 1 An overview of Calculus Read the related topics in the lecture notes and reference books Lecture, discussion, comparison, Problem Solving 2 Chapter 2 Functions, Limits and Continuity Read the related topics in the lecture notes and reference books Lecture, discussion, comparison, Problem Solving 3 Chapter 2 Functions, Limits and Continuity Read the related topics in the lecture notes and reference books Lecture, discussion, comparison, Problem Solving 4 Chapter 2 Functions, Limits and Continuity Read the related topics in the lecture notes and reference books Lecture, discussion, comparison, Problem Solving 5 Chapter 2 Functions, Limits and Continuity Read the related topics in the lecture notes and reference books Lecture, discussion, comparison, Problem Solving 6 Midterm Exam 7 Chapter 3 The Derivative Read the related topics in the lecture notes and reference books Lecture, discussion, comparison, Problem Solving 8 Chapter 3 The Derivative Read the related topics in the lecture notes and reference books Lecture, discussion, comparison, Problem Solving 9 Chapter 4 Applications of the derivative Read the related topics in the lecture notes and reference books Lecture, discussion, comparison, Problem Solving 10 Chapter 4 Applications of the derivative Read the related topics in the lecture notes and reference books Lecture, discussion, comparison, Problem Solving 11 Midterm Exam 12 Chapter 5 The Definite Integral Read the related topics in the lecture notes and reference books Lecture, discussion, comparison, Problem Solving 13 Chapter 6 Topics in Differential Calculus Read the related topics in the lecture notes and reference books Lecture, discussion, comparison, Problem Solving 14 Chapter 6 Topics in Differential Calculus Read the related topics in the lecture notes and reference books Lecture, discussion, comparison, Problem Solving 15 Chapter 7 Computing antiderivatives: Substitution Method Read the related topics in the lecture notes and reference books Lecture, discussion, comparison, Problem Solving 16/17 Final exam   Required Course Resources Resource Type Resource Name Recommended Course Material(s)  Calculus and Analytic Geometry (Sherman K. STEIN, Anthhony BARCELLOS,McGraw-Hill, Inc.) Required Course Material(s)   Assessment Methods and Assessment Criteria Semester/Year Assessments Number Contribution Percentage     Mid-term Exams (Written, Oral, etc.) 2 100     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 Students gain a command of basic concepts, theories and principles in mechanical engineering 5 2 Student become equipped with the basic knowledge of math, science and engineering 5 3 Students are able to design and carry out experiments in the basic fields of mechanical engineering, and interpret the results and the data obtained from the experiments 0 4 Students become equipped with a variety of skills and knowledge regarding engineering techniques 0 5 Students are able to design a system, component or process in order to meet the needs of various engineering problems within technical, economic, environmental, manufacturability, and sustainability limits. 0 6 Students independently review and learn the applications in an enterprise, make a critical assessment of the problems faced with, formulate problems and propose solutions by selecting the proper technique 0 7 Students take initiative in identification, design, development and use of a product or production process. 0 8 Students become aware of the necessity of lifelong learning and continuously self-renew 3 9 Students use English effectively for technical or non-technical topics orally or in wirtten form. 3 10 Students become effective in using computer, computer-aided drafting, design, analysis, and presentation 0 11 Students have good communicatino skills with a tendency to work in teams, and are able to work effectively as a member of an interdisciplinary team 0 12 Students become aware of the technical and ethical responsibilities, as well as being inquisitive and innovative 3 * 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 3 42 Assesment Related Works     Homeworks, Projects, Others 0 0 0     Mid-term Exams (Written, Oral, etc.) 2 10 20     Final Exam 1 12 12 Total Workload: 116 Total Workload / 25 (h): 4.64 ECTS Credit: 5