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Course Description Course Name : Mathematics I Course Code : MMD101 Course Type : Compulsory Level of Course : First Cycle Year of Study : 1 Course Semester : Fall (16 Weeks) ECTS : 4 Name of Lecturer(s) : Instructor BASRİ ÇALIŞKAN Learning Outcomes of the Course : Describes function, limit and continuity concepts. Understands mathematical and physical meaning of the derivative Solves mathematical, physical and engineering problems using derivative Makes using differentials to approximate the account Mode of Delivery : Face-to-Face Prerequisites and Co-Prerequisites : None Recommended Optional Programme Components : None Aim(s) of Course : To improve the ability of solving problems, to support reasoning skills, to create mathematical infrastructure for vocational courses of the mining program. Course Contents : Functions of one variable/ Limits and continuity/ Derivative and Differantiation/ applications of derivative; maxima and minima, the mean value theorem/ Integration; indefinite and definite integrals, integral rules, the fundamental and the mean value theorems of integral calculus/ Applications of definite integrals; length of curves, area, volumes of revolution. Language of Instruction : Turkish Work Place : Faculty classrooms   Course Outline /Schedule (Weekly) Planned Learning Activities Week Subject Student's Preliminary Work Learning Activities and Teaching Methods 1 Matrices, equal matrices, arithmetic operations, special matrices Read the relevant chapter in the book and discusiion Lecture, 12-20 2 Some properties of functions and graphs. Read the relevant chapter in the book and discusiion Lecture, 23-26 3 The concept of limits of functions of one variable, limit features Read the relevant chapter in the book and discusiion Lecture, 27-33 4 Limits at infinity, indefinite limits Read the relevant chapter in the book and discusiion Lecture, 36-43 5 Continuity and discontinuity types Read the relevant chapter in the book and discusiion Lecture,75-83 6 Derivative concept, definition, geometry, basic rules of differentiation Read the relevant chapter in the book and discusiion Lecture,113-121; 132-140; 144-148; 149-154 7 Tangent equation, maximum, minimum, the various engineering problems Read the relevant chapter in the book and discusiion Lecture,176-185; 199-204; 212-218 8 Midterm Exam - - 9 Polar equations and graphs of some special curves in polar curves Read the relevant chapter in the book and discusiion Lecture,549-554; 561-565 10 Definition of indefinite integrals, the basic rules of integration Read the relevant chapter in the book and discusiion Lecture,211-215; 218-225 11 Change of variables, integration fractions Read the relevant chapter in the book and discusiion Lecture,227-236; 238-242; 12 With the integration of trigonometric integrals and trigonometric transformations Read the relevant chapter in the book and discusiion Lecture, 244-251 13 The definite integral, area and volume calculations Read the relevant chapter in the book and discusiion Lecture,265-285; 293-300; 304-310 14 Surface area, arc length, and the total mass center of gravity calculations Read the relevant chapter in the book and discusiion Lecture, 314-316; 318-323; 326-332 15 final Exam - - 16/17 final Exam - -   Required Course Resources Resource Type Resource Name Recommended Course Material(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 Students gain adequate knowledge about the engineering fields in the branches of mathematics, physical sciences or their own branches 5 2 Students follow the current developments in their fields with a recognition of the need for lifelong learning and constantly improve themselves 1 3 Students use the theoretical and practical knowledge in mathematics, physical sciences and their fields for engineering solutions 5 4 Students choose and use the appropriate analytical mehtods and modelling techniques to identify, formulate, and solve the engineering problems 5 5 Students design and carry out experiments, collect data, analyze and interpret the results. 3 6 Students gain the capacity to analyze a system, a component, and desing the process under realistic constraints to meet the desired requirements; and the ability to apply the methods of modern design accordingly 2 7 Students choose and use the modern technical tools necessary for engineering practice. 3 8 Students gain the ability to work effectively both as an individual and in multi-disciplinary teams. 3 9 Students use the resources of information and databases for the purpose of doing research and accesing information. 3 10 Students follow the scientific and technological developments in recognition of the need for lifelong learning, and continuously keep their knowledge up to date. 2 11 Students use the information and communication technologies together with the computer software at the level required by the European Computer Driving Licence. 2 12 Students use a foreign language according to the general level of European Language Portfolio B1 to communicate effectively in oral and written form. 2 13 Students gain the ability to communicate using technical drawing. 2 14 Students become informed of professional and ethical responsibility. 4 15 Students develop an awareness as regards project management, workplace practices, employee health, environmental and occupational safety; and the legal implications of engineering applications. 2 16 Students develop an awareness of the universal and social effects of engineering solutions and applications, the entrepreneurship and innovation subjects and gain knowledge of contemporary issues 4 * 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 2 28     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.) 1 15 15     Final Exam 1 15 15 Total Workload: 100 Total Workload / 25 (h): 4 ECTS Credit: 4