« ICNS103 Fundamental Mathematics
Course syllabus for ICNS103 Fundamental Mathematics.
Singlevariable calculus: limits and continuity, differentiation, curve sketching, applied maxima and minima, integration, area between curves.
Severalvariable calculus: multivariable functions, partial differentiation.
After completion of this course, student should be able to:
Introductory Mathematical Analysis for Business, Economics, and the Life and Social Sciences^{1)} , 13th edition, by Ernest F. Haeussler, Jr., Richard S. Paul, and Richard J. Wood
Week  Topics 

Week 1  Limits: 10.1 (Examples 19) 
Week 2  Limits (continued): 10.2 (Examples 16), Continuity: 10.3 (Examples 16) 
Week 3  Definition of derivative: 11.1 (Examples 16),Basic rules of differentiation: 11.2 (Examples 17) 
Week 4  The derivative as a rate of change: 11.3 (Examples 38), The product rule and the quotient rule: 11.4 (Examples 17) 
Week 5  The chain rule: 11.5 (Examples 117) Derivatives of logarithmic functions: 12.1 (Examples 16) Derivatives of exponential functions: 12.2 (Examples 16) 
Week 6  Implicit differentiation: 12.4 (Examples 14) Higherorder derivatives: 12.7 (Examples 14) Review for Midterm 
Midterm Exam (35%) (covering topics from weeks 16) 

Week 7  Partial derivatives: 17.1 (Examples 14), Applications of partial derivatives: 17.2 (Examples 13), Relative extrema: 13.1 (Examples 14) 
Week 8  Absolute extrema on a closed interval: 13.2 (Example 1), Concavity: 13.3 (Examples 14), 2ndderivative test: 13.4 (Examples 12) 
Week 9  Applied maxima and minima: 13.6 (Examples 1,2,3,8), The indefinite integral: 14.2 (Examples 19), Integration with initial conditions: 14.3 (Examples 15) 
Week 10  More integration formulas: 14.4 (Examples 18), Techniques of integration: 14.5 (Examples 1(a), 2, 3) 
Week 11  The fundamental theorem of integral calculus: 14.7 (Examples 15), Area between curves: 14.9 (Examples 1, 3, 4, 5) 
Week 12  Consumers' and producers' surplus: 14.10 (Example 1) Review for Final 
Comprehensive Final Exam (45%) (covering topics from weeks 112) 
Category  Proportion 

Midterm Exam  35% 
Comprehensive Final Exam  45% 
Quizzes + Assignments + Attendances  20% 
Percentage (x)  Grade 

90 ≤ x ≤ 100  A 
85 ≤ x < 90  B+ 
80 ≤ x < 85  B 
75 ≤ x < 80  C+ 
70 ≤ x < 75  C 
65 ≤ x < 70  D+ 
60 ≤ x < 65  D 
x < 60  F 
According to the classroom policies, students are required to have at least 80 % class attendance to be eligible to take the final exam. Three late attendances (each of 15 minutes or more) are considered equal to one absence.