TED University 
                                 Department of Mathematics 
                                  MATH 109 Basic Calculus 
                                      2019-2020 Spring 
       Credit Hours: (3+2+0) 4 TEDU Credits, 7 ECTS Credits 
       Pre-requisites: None 
       Course Description:  
       Plane Geometry, The concepts of Limit and Continuity, Derivative, Applications of Derivative, 
       Integration, The Application of Integration for calculating areas, Vectors and Geometry of Space.   
       Instructor: 
          Name: Ruşen Kaya (Section 1) 
          Office: A220 
          E-mail: rusen.kaya@tedu.edu.tr 
          Office Hours:   Tuesday, 14.00 - 14.45 
                                               Wednesday, 15.00 - 15.45 
       Assistant: 
          Name: Ezgi Türkarslan  
          Office: B243 
          E-mail: ezgi.turkarslan@tedu.edu.tr 
          Office Hours:   Friday, 14.00 - 15.00 
           
       Textbook:  
                                              th
          Calculus, Metric Version, by James Stewart (8  Edition) 
       Supplementary Books: 
                                                    th
          Calculus, A Complete Course, by Adams and Essex (8  Edition) 
                                      th
          Calculus, by George B. Thomas (12  Edition) 
               
                    
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           Learning Outcomes: 
            
           Upon successful completion of this course, a student will be able to: 
                     1.   Recall definitions and basic properties of elementary and transcendental functions and 
               real numbers.      
                     2.   Comprehend Coordinate Geometry, graph functions in the plane, and write equations of 
               lines in various forms.   
                     3.   Calculate the limit of a function using fundamental limit laws and various techniques.   
                     4.   Comprehend the concept of continuity and perform the Intermediate Value Theorem 
               and Extreme Value Theorem as applications of continuity.   
                     5.   Calculate the derivatives of elementary and transcendental functions with basic 
               techniques including The Chain Rule.    
                     6.   Perform the applications of derivative such as writing equations of tangent lines, solving 
               Related Rates problems, finding local\absolute extreme values of functions, stating and applying 
               the Mean Value Theorem, evaluating limits using L’Hospital’s Rule, graphing functions.   
                     7.   Evaluate definite and indefinite integrals of elementary and transcendental functions 
               using various methods of integration and state the relation between the definite and indefinite 
               integral by The Fundamental Theorem of Calculus.      
                     8.   Express the area of a planar region as a definite integral and hence evaluate areas of 
               regions as an application of the definite integral. Comprehend three-dimensional coordinate 
               systems, perform various operations on vectors including the dot product and the cross product, 
               write equations of planes and lines in space.    
            
           Exam Dates: 
            
           Midterm Exam I: March 26, 2020 (Thursday), at 18.30 
           Midterm Exam II: April 30, 2020 (Thursday), at 18.30 
           Final Exam: To be announced by the Registrar’s Office 
            
           Grading: 
           Midterm Exam I: 30 Points 
           Midterm Exam II: 30 Points 
           Final Exam: 35 Points 
           Attendance to Lectures: 10 Points 
           Active Learning Exercises (ALE): 5 Points 
           Attendance to Practice Hours (LAB): 5 Points 
             
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           Student Workload (180 hours): 
                            Activities                     Number    Duration (hour)    Total Work Load   
                             Lectures                          14                 3                      42   
                               Practice (Lab) Hours            14                 2                      28   
                        Course Readings                        14                 3                      42   
                Active Learning Exercises (Study                5                 4                      20   
                              duration)   
                Homework on WeBWorK (Study                      5                 5                      25   
                              duration)   
                Midterm Exams (Study duration)                  2                 7                      14   
                  Final Exam (Study duration)                   1                 9                       9   
              
            
            
           Course Outline: 
          The course outline is given below. This outline is tentative and it will be adapted to the pace of the 
          class in agreement with students. Any changes will be announced either in the classroom or via 
          email. 
  
                 Week 1            Appendix A Numbers, Inequalities and Absolute Values   
                Feb 17-21          Appendix B Coordinate Geometry and Lines     
                                    
                                   1.2 Mathematical Models: A Catalog of Essential Functions   
                 Week 2            1.3 New Functions from Old Functions   
                Feb 24-28          Appendix D Trigonometry   
                                    
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                          1.5 The Limit of a Function   
             Week 3       1.6 Calculating Limits using the Limit Laws   
            March 2-6     3.4 Limits at Infinity; Horizontal Asymptotes   
                           
                          1.8 Continuity   
             Week 4       2.1 Derivatives and Rates of Change   
           March 9-13     2.2 The Derivative as a Function   
                          2.3 Differentiation Formulas   
                           
             Week 5       2.5 The Chain Rule   
           March 16-20    3.2 The Mean Value Theorem    
                          3.3 Increasing/Decreasing Test   
                          6.1 Inverse Functions   
             Week 6       6.2 Exponential Functions and Their Derivatives   
           March 23-27    6.3 Logarithmic Functions   
                           
                          Midterm 1 on March 26, Thursday 
             Week 7       6.4 Derivatives of Logarithmic Functions    
         March 30-April 3  2.8 Related Rates   
                          6.8 Indeterminate Forms and L’Hospital’s Rule     
             Week 8       3.1 Maximum and Minimum Values   
            April 6-10    3.3 How Derivatives Affect the Shape of a Graph   
                          3.5 Summary of Curve Sketching   
             Week 9       3.7 Optimization problems   
           April 13-17    3.9 Antiderivatives   
                          4.2 The Definite Integral   
                          4.3 The Fundamental Theorem of Calculus    
            Week 10       4.4 Indefinite Integrals and the Net Change Theorem  
           April 20-24    4.5 The Substitution Rule   
                           
                          Official Holiday on April 23, Thursday 
                          Break on April 24, Friday 
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