For reference only, will be 
                                                                                   updated in AY2022-23.
                Spring 2022                          Department of Economics, Lingnan University 
                                           SSC2114: Calculus 
                 Recommended Study Year      :   3 and 4 
                 No. of Credits/Term         :   3 
                 Mode of Tuition             :   Lecture-Tutorial 
                 Class Contact Hours         :   3 hours per week 
                 Category in Major Prog.     :   Elective 
                 Discipline                  :   Social Sciences 
                 Prerequisite(s)             :   N/A 
                 Co-requisite(s)             :   N/A 
                 Exclusion(s)                :   N/A 
                 Exemption Requirement(s)    :   N/A 
                Instructor: Chi Leung WONG (Adam) 
                Office: WYL 226 
                Phone: 2616-7149 
                Email: adamwong@ln.edu.hk 
                Office Hours:  Wednesday 2:30pm—5:00pm, Friday 3:30pm—6:00pm 
                Brief Course Description 
                The course covers both differential calculus and integral calculus.  It will discuss basic 
                derivatives and integration techniques with one variable as well that with more than one 
                variable functions. Applications to economics, social sciences, managerial sciences, etc. 
                will be covered. 
                Aims 
                The course aims to provide students with a clear comprehension of the concepts and 
                theory of calculus, and be able to use calculus intelligently for solving a wide variety of 
                mathematical problems as used in the social sciences. 
                Learning Outcomes (LOs) 
                Upon completion of the course, students will be able to: 
                1.   demonstrate basic knowledge and techniques of calculus
                      2.    apply the knowledge and techniques of calculus in economics analysis; 
                      3.    demonstrate understanding of the basic structure and components of relationships 
                            among variables in economics and in social research. 
                       
                      Indicative Contents 
                       
                      1.  Functions 
                           a.  The Real Number Line 
                           b.  Sets and Intervals 
                           c.  Functions and Graphs 
                           d.  Combinations of Functions 
                            
                      2.  Limits 
                           a.  The Tangent Problems 
                           b.  The Concept of Limit 
                           c.  Limit Laws 
                           d.  Continuity and the Intermediate Value Theorem 
                            
                      3.  Derivatives 
                           a.  The Concept of Derivatives 
                           b.  Differentiability 
                           c.  Higher Order Derivatives 
                           d.  Differentiation Formulas 
                           e.  The Chain Rule 
                            
                      4.  Graphing and Maximum-Minimum Problems 
                           a.  The Maximum-Minimum Problems 
                           b.  The Extreme Value Theorem 
                           c.  First-Order Conditions, Critical Numbers, and the Closed Interval Method 
                           d.  Increasing and Decreasing Functions 
                           e.  The Second Derivatives and Concavity 
                           f.  Optimization in Business and Economics 
                            
                      5.  Differentiation of Functions of Two or More Variables 
                           a.  Functions of Several Variables 
                           b.  Partial Derivatives 
                           c.  Higher Order Partial Derivatives 
                           d.  General Version of the Chain Rule 
                            
                      6.  Implicit Differentiation and Economic Applications 
                                a.  Implicit Differentiation 
                                b.  Level Curves and Economic Applications 
                                c.  Comparative Statics and Economic Applications 
                            
                           7.  Integrals 
                                a.  The Area Problem 
                                b.  Definite Integral 
                                c.  Evaluating Definite Integrals through Limits 
                                d.  Indefinite Integral 
                                e.  The Fundamental Theorem of Calculus 
                                f.   Properties of Integrals 
                                 
                           8.  Techniques of Integration 
                                a.  Antidifferentiation Formulas 
                                b.  Integration by Substitution 
                                c.  Integration by Parts  
                                d.  Economic Applications of Integration 
                            
                           Teaching Method 
                            
                           Lectures combined with tutorials and vigorous homework exercises. 
                            
                            
                           Measurement of Learning Outcomes 
                                                                            
                           Learning outcomes are measured by: 
                            
                           1.    tutorials and quizzes are designed to assess student’s comprehension of lecture and 
                                 assigned readings (LO1, LO2), 
                           2.    mid-term tests and final examination assess students’ understanding and applications 
                                 of the techniques to the problem in economics (LO1, LO2, LO3), 
                            
                           Assessment 
                            
                           Tutorial Participation                                                    10% 
                           Two quizzes      (5% each)                                                10% 
                           Mid-term test                                                             30% 
                           Final examination                                                         50% 
                            
                           Good Practices 
                       
                      1.    Students are encouraged to make appointments with the instructor during office 
                            hours for individual/group consultation regarding the assigned questions. 
                      2.    A course teaching and learning evaluation is conducted after the mid-term test 
                            allowing for early feedback from students regarding the course. 
                       
                      Required/ Essential Reading 
                       
                      James Stewart, Calculus, International Metric Edition, 9th edition, Cengage Learning, 
                      2020. 
                       
                      Recommended/ Supplementary Readings 
                       
                      Alpha Chiang and Kevin Wainwright, Fundamental Methods of Mathematical Economics, 
                            4th edition, McGraw-Hill, 2005. 
                       
                      George B. Thomas, Maurice D. Weir, and Joel R. Hass, Thomas’ Calculus, 12th 
                            edition, International Edition, Pearson, 2010.  
                       
                      Or any other standard introductory textbooks for calculus 
                       
                      Warning against plagiarism 
                      Sources of quotations should be spelled out clearly. Taking others’ writings as one’s own 
                      is plagiarism and will be taken seriously and punished accordingly.