# MUIC Math

Mathematics at MUIC

### Internal

courses:icns103:syllabus

# ICNS 103 Syllabus

Course syllabus for ICNS103 Fundamental Mathematics.

## Course Description

Single-variable calculus: limits and continuity, differentiation, curve sketching, applied maxima and minima, integration, area between curves.

Several-variable calculus: multivariable functions, partial differentiation.

## Course Objectives

After completion of this course, student should be able to:

1. solve algebraic problems involving limits and continuity, differentiation, relative extrema, integration, and partial derivatives;
2. explain how the basic concepts of differential and integral calculus can be applied to solve problems mainly in business and economics.

Introductory Mathematical Analysis for Business, Economics, and the Life and Social Sciences1) , 13th edition, by Ernest F. Haeussler, Jr., Richard S. Paul, and Richard J. Wood

## Outline

Week Topics
Week 1 Limits: 10.1 (Examples 1-9)
Week 2 Limits (continued): 10.2 (Examples 1-6), Continuity: 10.3 (Examples 1-6)
Week 3 Definition of derivative: 11.1 (Examples 1-6),Basic rules of differentiation: 11.2 (Examples 1-7)
Week 4 The derivative as a rate of change: 11.3 (Examples 3-8), The product rule and the quotient rule: 11.4 (Examples 1-7)
Week 5 The chain rule: 11.5 (Examples 11-7) Derivatives of logarithmic functions: 12.1 (Examples 1-6) Derivatives of exponential functions: 12.2 (Examples 1-6)
Week 6 Implicit differentiation: 12.4 (Examples 1-4) Higher-order derivatives: 12.7 (Examples 1-4)
Review for Midterm
Midterm Exam (35%)
(covering topics from weeks 1-6)
Week 7 Partial derivatives: 17.1 (Examples 1-4), Applications of partial derivatives: 17.2 (Examples 1-3), Relative extrema: 13.1 (Examples 1-4)
Week 8 Absolute extrema on a closed interval: 13.2 (Example 1), Concavity: 13.3 (Examples 1-4), 2nd-derivative test: 13.4 (Examples 1-2)
Week 9 Applied maxima and minima: 13.6 (Examples 1,2,3,8), The indefinite integral: 14.2 (Examples 1-9), Integration with initial conditions: 14.3 (Examples 1-5)
Week 10 More integration formulas: 14.4 (Examples 1-8), Techniques of integration: 14.5 (Examples 1(a), 2, 3)
Week 11 The fundamental theorem of integral calculus: 14.7 (Examples 1-5), 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 1-12)

Category Proportion
Midterm Exam 35%
Comprehensive Final Exam 45%
Quizzes + Assignments + Attendances 20%

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

## Attendance Note

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.

1)
Available at the MUIC library