Textbook:   
                                                      th
              Calculus: Early Transcendentals 9  Edition Metric Version by James Stewart, Daniel Clegg, Saleem 
              Watson 
              數位學習平台http://Cengage.com 
              References: 
              1.    Calculus: One and Several Variables 10th Edition by Saturnino Salas, Einar Hille, Garrett Etgen 
              2.    Calculus: A Complete Course by Robert A. Adams 
              Eligibility:  機械系(丙班)、化工系(丙班)學生選讀 
              Prerequisite:  高中數學 
              Course Website:    http://www.math.ncku.edu.tw/~rchen/ 
               
                                          第一週              1.4     Exponential Functions 
                                         9/8, 9/10         1.5     Inverse Functions and Logarithms 
                                                           2.1     The Tangent and Velocity Problems 
                  Chapter 1-2             第二週              2.2     The Limit of a Function 
                   Limits and           9/15, 9/17         2.3     Calculating Limits Using the Limit Laws 
                  Derivatives                              2.4     The Precise Definition of a Limit 
                                          第三週              2.5     Continuity 
                                        9/22, 9/25         2.6     Limits at Infinity; Horizontal Asymptotes 
                                                           2.7     Derivatives and Rates of Change 
                                                           2.8     The Derivative as a Function 
                                          第四週              3.1     Derivatives of Polynomials and Exponential 
                                           9/29                    Functions 
                                                           10/1    中秋節放假 
                                          第五週              3.2     The Product and Quotient Rules 
                                        10/6, 10/8         3.3     Derivatives of Trigonometric Functions 
                   Chapter 3                               3.4     The Chain Rule 
                Differentiation                            3.5     Implicit Differentiation 
                      Rules               第六週              3.6     Derivatives of Logarithmic and Inverse 
                                       10/13, 10/15                Trigonometric Functions 
                                                           3.8     Exponential Growth and Decay 
                                          第七週              3.9     Related Rates 
                                       10/20, 10/22        3.10    Linear Approximations and Differentials 
                                                           3.11    Hyperbolic Functions 
                                          第八週              4.1     Maximum and Minimum Values 
                   Chapter 4           10/27, 10/29        4.2     The Mean Value Theorem 
                Applications of                            4.3     What Derivatives Tell Us about the Shape of a Graph 
                Differentiation           第九週              4.4     Indeterminate Forms and l’Hopital’s Rule 
                                        11/3, 11/5         4.5     Summary of Curve Sketching 
                                                           4.7     Optimization Problems 
                                                       4.9    Antiderivatives 
                                      第十週              5.1    The Area and Distance Problems 
                                    11/10, 11/12       5.2    The Definite Integral 
                  Chapter 5                          Midterm Exam 11/12 (Thursday) 19:10-21:00 pm, 
                  Integrals                          考試範圍Sec 1.4-4.9 考試教室另行公告 
                                     第十一週              5.3    The Fundamental Theorem of Calculus 
                                    11/17, 11/19       5.4    Indefinite Integrals and the Net Change Theorem 
                                                       5.5    The Substitution Rule 
                  Chapter 6          第十二週              6.1    Areas Between Curves 
               Applications of      11/24, 11/26       6.2    Volume 
                 Integration                           6.3    Volumes by Cylindrical Shells 
                                     第十三週              6.5    Average Value of a Function 
                                     12/1, 12/3        7.1    Integration by Parts 
                  Chapter 7                            7.2    Trigonometric Integrals 
               Techniques of         第十四週              7.3    Trigonometric Substitution 
                 Integration        12/8, 12/10        7.4    Integration of Rational Functions by Partial Fractions 
                                                       7.5    Strategy for Integration 
                                     第十五週              7.8    Improper Integrals 
                  Chapter 8         12/15, 12/17       8.1    Arc Length 
                   Further                             8.2    Area of s Surface of Revolution 
               Applications of                         8.3    Applications to Physics and Engineering 
                 Integration         第十六週 
                                    12/22, 12/24       9.1    Modeling with Differential Equations 
                  Chapter 9                            9.2    Direction Fields and Euler"s Method 
                 Differential                          9.3    Separable Equations 
                  Equations          第十七週              9.4    Models for Population Growth 
                                    12/29, 12/31       9.5    Linear Equations 
                                                       9.6    Predator-Prey Systems 
                                     第十八週            Final Exam 1/5 (Tuesday) 10:10-12:00, 
                                      1/5, 1/7       考試範圍Sec 5.1-9.6考試教室另行公告 
              
             Grading 
              期中考                                                                                          40% 
              作業                                                                                           10% 
              小考及平時表現                                                                                      10% 
              期末考                                                                                          40% 
              
             Course Hours 
             1.    Lecture：Tuesday 10:10-12:00; Thursday 9:10-10:00 in  三系館 A1307 
             2.    Tutorial：Thursday 8:10-9:00 
               
              Contact with Teacher 
              Email: rchen@mail.ncku.edu.tw 
              Phone: 06-2757575  轉  65157 
              Office:  數學系 405 
               
              Contact with Tutors 
              1.    應用數學研究所博士班：王崇亘 
                    Office:  數學系 415 
                    Email: a78sddrt@gmail.com 
              2.    應用數學研究所博士班： 蔡誌軒 
                    Office:  數學系 415 
                    Email: L18071023@mail.ncku.edu.tw 
              3.    應用數學研究所碩士班： 林連捷 
                    Office:  數學系 418 
                    Email: connect7750672@gmail.com