MCS155 Calculus I (accelerated) Language : English Class room : L07 Units : 4+2 - - - Instructor : Assoc. Prof. Dr. Burhan PEKTAŞ Office room : B-301 Office hours : - Office phone : - - - - Tutor session : - Office room : - Office hours : - Office phone : - Syllabus Lecture Schedule 1. Prerequisites : None 2. Contents : Functions. Limits and continuity. Derivatives. Applications of derivatives. Integration. Applications of integrals. The logarithmic, exponential, inverse trigonometric and hyperbolic functions. Techniques of integration. L'Hospital rule. Improper integrals. Sequences. Infinite series, power series, Taylor's series. 3. Objectives : After passing this course, the student should be able to have fundamental mathematical abilities required for engineering. 4. Textbook/ Lecture notes : Ross L, Finney, Maurice D. Weir, Frank. R. Giordano; Thomas’ Calculus. Addison Wesley, 2003. Lecture notes will be provided in the class. 5. Attendance : Compulsory attendance for lectures is 70%. 6. Grading : Midterm 40% Final 60% 7. Academic dishonesty : Academic dishonesty is related to cheating and plagiarism. Copying in whole or in part others’ assignments, lab works or exams, is considered cheating respectively plagiarism. All parties involved will receive a zero score for the lab, assignment or the exam. Week Topic Reading Slides / Notes Assigns 1 Functions. Thomas P.2-P.6 - - 2 Limits and contuniuty. Thomas 1.1-1.5 - 3 Derivatives. Applications of derivatives. Thomas 2.1-2.6 Thomas 3.1-3.3, 3.6 - - 4 Derivatives. Applications of derivatives. Thomas 2.1-2.7 Thomas 3.1-3.3, 3.6 - - 5 Derivatives. Applications of derivatives. Thomas 2.1-2.6 Thomas 3.1-3.3, 3.6 - - 6 Integration. Applications of integrals. Thomas 4.1-4.6 Thomas 5.1-5.3 - - 7 Integration. Applications of integrals. Thomas 4.1-4.6 Thomas 5.1,5.3 - - 8 MIDTERM 9 Integration. Applications of integrals. Thomas 4.1-4.6 Thomas 5.1-5.3 - - 10 The logarithmic, exponential, inverse trigonometric and hyperbolic functions. Thomas 6.1, 6.2, 6.3, 6.7 - - 11 The logarithmic, exponential, inverse trigonometric and hyperbolic functions. Thomas 6.1, 6.2, 6.3, 6.7 - - 12 Techniques of integration. L'Hospital rule. Improper integrals. Thomas7.1-7.4, 7.6-7.7 - - 13 Techniques of integration. L'Hospital rule. Improper integrals. Thomas7.1-7.4, 7.6-7.7 - - 14 Sequences. Infinite series, power series, Taylor's series. Thomas 8.1-8.7 - - 15 Sequences. Infinite series, power series, Taylor's series. Thomas 8.1-8.7 - - 16 FINAL EXAMS 17 FINAL EXAMS