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
- James Stewart, Single Variable Calculus(8th ed.), CENGAGE
- 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 change9/2(Mon) Fall semester classes begin
9/2(Mon)~6(Fri) Course add and drop period2nd(9/9-9/13) 6.6 Simple rules for differentiation
6.7 Sums, products and quotients9/12(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 functions4th(9/23-9/27) 7.1 Implicit differentiation
7.3 Differentiating the inverse
7.4 Linear approximations
7.5 Polynomial approximations9/27(Fri) First quarter of fall semester ends 5th(9/30-10/4) 7.2 Economic examples*
Review and Midterm 110/1(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 Rule7th(10/14-10/18) 8.1 Extreme points
8.2 Simple tests for extreme points10/15(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 points10/24(Thu)~25(Fri) Reading period (regular class)
10/25(Fri) Last day to withdraw from fall semester courses, Second quarter of fall semester ends9th(10/28-11/1) 8.7 Inflection points
9.1 Indefinite integrals
9.2 Area and definite integrals
9.3 Properties of definite integrals10th(11/4-11/8) 9.4 Economic Examples*
9.5 Integration by parts
9.6 Integration by substitution
Review and Midterm 211/7(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 multiplication11/20(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 vectors14th(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 n15th(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 Exam12/12(Thu) Final Exam
6/14(Fri) Fall semester ends16th(12/16-12/20) Make-up classes
Section No. | Instructor | E-mail Address | Office | Phone No. [880-] |
Lecture Time | Lecture Room | Office Hours |
---|---|---|---|---|---|---|---|
003 | Ahn, Myungsook | mahn1999 (at) snu.ac.kr | 27-417 | 6557 | Tue, Thu 12:30~13:45 | 25-109 | 14:00~15:00 or by appointment |
Section No. | TA | E-mail Address | Office | Phone No. [880-] |
---|---|---|---|---|
003 | Cho, Hyuntae | choant (at) snu.ac.kr | 27-430 | 1313 |
BAASANDORJ SUMIYA | summa2017 (at) snu.ac.kr | 27-328 | 1315 |