Syllabus

• Course: Calculus for Business
• Course Number: 033.009 003
• Course Goal: The purpose of this course is to study the methods of calculus involve the notions of differentiation and integration of functions of a single variable. Calculus is used in developing the foundations of most areas of economics, science and engineering as well as serving as the basis for further work in mathematics such as in differential equations and analysis. One objective is to develop your understanding of these concepts. Another objective is for you to learn how to use calculus in analyzing problems and building models for economic applications. We will develop computational methods and algorithms for deriving solutions to these problems.
• Textbook: Knut Sydsaeter, Peter Hammond & Arne Strom; Essential Mathematics for Economic Analysis(5th ed.), PEARSON
• Reference
  1. James Stewart, Single Variable Calculus(8th ed.), CENGAGE
  2. 강혜정, 『경제, 경영을 위한 수학』, 경문사
• Exams: There will be two midterm exams, held in the class (or 6:00-7:30pm), and a 2-hour final exam. Note that our exams are not multiple choices.

  Exam	Date
  Midterm Exam 1	Tuesday, October 1st
  Midterm Exam 2	Thursday, November 7th
  Final Exam	Thursday, December 12th

  • MAKE-UPS: To take a make-up exam, you need to provide with a proper documentation. Students that have a time conflict with other regularly scheduled course may take the make-up exam. However, students with other types of time conflicts (like work, social activities, etc.) should prearrange to take the exam at the scheduled time and date.
• Homework: A weekly homework assignment will be posted on eTL and for you this is the most important part of the course. Please submit your homework at the report box (on 1st floor, 27-dong) by 17:00 every Friday.
• Grades: The course grade will be determined by midterms, the final exam, and homework assignments,
  ( 25% for each midterm + 30% for final exam + 20% for homework )
• Caution
  • If you miss the midterm or the final exam, you will get “F” for the final course grade.
  • “F” grade for any academic dishonesty.
  • “F” grade for absence from the class more than 10 times.
  • No calculators or other handheld electronic devices are allowed on exams.
• Weekly Schedule (The following is a tentative syllabus)

  Week	Topics to be covered	Academic Calendar
  1st(9/2-9/6)	6.1 Slopes of curves 6.2 Tangents and derivatives 6.5 A dash of limits 6.3 Increasing and Decreasing Functions 6.4 Rates of change	9/2(Mon) Fall semester classes begin 9/2(Mon)~6(Fri) Course add and drop period
  2nd(9/9-9/13)	6.6 Simple rules for differentiation 6.7 Sums, products and quotients	9/12(Thu)~9/14(Sat) Chuseok (national holiday)
  3rd(9/16-9/20)	6.8 The Chain Rule 6.9 Higher-order derivatives 6.10 Exponential functions 6.11 Logarithmic functions
  4th(9/23-9/27)	7.1 Implicit differentiation 7.3 Differentiating the inverse 7.4 Linear approximations 7.5 Polynomial approximations	9/27(Fri) First quarter of fall semester ends
  5th(9/30-10/4)	7.2 Economic examples* Review and Midterm 1	10/1(Tue) Midterm 1 10/3(Thu) Foundation Day (national holiday)
  6th(10/7-10/11)	7.7 Why Economists Use Elasticities* 7.8 Continuity 7.10 The intermediate value theorem and Newton’s method 7.12 L'Hôpital's Rule
  7th(10/14-10/18)	8.1 Extreme points 8.2 Simple tests for extreme points	10/15(Tue) SNU Anniversary
  8th(10/21-10/25)	8.3 Economic Examples* 8.4 The Extreme Value Theorem 8.5 Further Economic Examples* 8.6 Local extreme points	10/24(Thu)~25(Fri) Reading period (regular class) 10/25(Fri) Last day to withdraw from fall semester courses, Second quarter of fall semester ends
  9th(10/28-11/1)	8.7 Inflection points 9.1 Indefinite integrals 9.2 Area and definite integrals 9.3 Properties of definite integrals
  10th(11/4-11/8)	9.4 Economic Examples* 9.5 Integration by parts 9.6 Integration by substitution Review and Midterm 2	11/7(Thu) Midterm 2
  11th(11/11-11/15)	9.7 Infinite intervals of integration 9.8 A glimpse at differential equations 9.9 Separable and linear differential equations
  12th(11/18-11/22)	15.1 Systems of linear equations 15.2 Matrices and matrix operations 15.3 Matrix multiplication 15.4 Rules for matrix multiplication	11/20(Wed) Third quarter of fall semester ends
  13th(11/25-11/29)	15.5 The transpose 15.6 Gaussian elimination 15.7 Vectors 15.8 Geometric interpretation of vectors
  14th(12/2-12/6)	15.9 Lines and planes 16.1 Determinants of order 2 16.2 Determinants of order 3 16.3 Determinants of order n
  15th(12/9-12/13)	16.4 Basic Rules for Determinants 16.5 Expansion by Cofactors 16.6 The Inverse of a Matrix Review and Final Exam	12/12(Thu) Final Exam 6/14(Fri) Fall semester ends
  16th(12/16-12/20)	Make-up classes