• Basic information
• Learning outcomes
• Contents
• Assessment
• Workload

Learning outcomes

Upon successful completion of this course, students will be able to:

1. Relate mathematics to other disciplines

   Contribution to Program Outcomes

   1. Having the knowledge about the scope, applications, history, problems, and methodology of mathematics that are useful to humanity both as a scientific and as an intellectual discipline.
   2. Describing, formulating, and analyzing real-life problems using mathematical and statistical techniques.

   Method of assessment

   1. Written exam
2. Develop mathematical brainstorming skills

   Contribution to Program Outcomes

   1. Having the knowledge about the scope, applications, history, problems, and methodology of mathematics that are useful to humanity both as a scientific and as an intellectual discipline.
   2. Communicating between mathematics and other disciplines, and building mathematical models for interdisciplinary problems.

   Method of assessment

   1. Written exam
3. Realize the relation of mathematics to economics

   Contribution to Program Outcomes

   1. Having the knowledge about the scope, applications, history, problems, and methodology of mathematics that are useful to humanity both as a scientific and as an intellectual discipline.
   2. Communicating between mathematics and other disciplines, and building mathematical models for interdisciplinary problems.
   3. Describing, formulating, and analyzing real-life problems using mathematical and statistical techniques.

   Method of assessment

   1. Written exam

Contents
Week 1:	Preliminaries; linear functions and line equations, quadratic polynomials and parabolas, cartesian system
Week 2:	Preliminaries; circles and ellipse, inequalities, trigonometric functions, exponential and logarithmic functions
Week 3:	Limits; limits of polynomials, rational functions, trigonometric functions, exponential and logarithmic functions
Week 4:	Limits; limit at infinity, infinite limit, L'hospital's rule
Week 5:	Limits; continuity and intermediate value theorem
Week 6:	Derivatives; tangent lines, definition of derivative, product, quotient and chain rules
Week 7:	Derivatives; derivative of polynomials, rational functions, trigonometric functions, exponential and logarithmic functions
Week 8:	Derivatives; applications (increasing/decreasing functions, local - absolute extremum)
Week 9:	Derivatives; applications (computing local - absolute extremum), closed interval method
Week 10:	Derivatives; applications (curve sketching)
Week 11:	Integration; indefinite integral, definite integral and fundamental theorem of calculus
Week 12:	Integration; integrals of polynomials, basic trigonometric functions and exponential functions
Week 13:	Integration; substitution rule, integration by parts, integrals of basic rational functions
Week 14:	Integration; integrals of logarithmic functions, area
Week 15*:	-
Week 16*:	Final
Textbooks and materials:
Recommended readings:	Calculus, R. A. Adams and C. Essex, 7th Edition, Addison Wesley
	* Between 15th and 16th weeks is there a free week for students to prepare for final exam.

Assessment
Method of assessment	Week number	Weight (%)
Mid-terms:	10	40
Other in-term studies:		0
Project:		0
Homework:		0
Quiz:		0
Final exam:	16	60
	Total weight:	(%)

Workload
Activity	Duration (Hours per week)	Total number of weeks	Total hours in term
Courses (Face-to-face teaching):	4	14
Own studies outside class:	0	0
Practice, Recitation:	2	14
Homework:	0	0
Term project:	0	0
Term project presentation:	0	0
Quiz:	0	0
Own study for mid-term exam:	5	10
Mid-term:	2	1
Personal studies for final exam:	9	4
Final exam:	2	1
		Total workload:
		Total ECTS credits:	*
	* ECTS credit is calculated by dividing total workload by 25. (1 ECTS = 25 work hours)