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

Learning outcomes

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

1. Make interrelations between Maths and other disciplines

   Contribution to Program Outcomes

   1. Communicating between mathematics and other disciplines, and building mathematical models for interdisciplinary problems.
   2. Having improved abilities in mathematics communications, problem-solving, and brainstorming skills.

   Method of assessment

   1. Written exam
   2. Homework assignment
2. Enhance the ability of brainstroming

   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. Having improved abilities in mathematics communications, problem-solving, and brainstorming skills.

   Method of assessment

   1. Written exam
3. Use technological tools to solve problems

   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.

   Method of assessment

   1. Written exam
   2. Homework assignment

Contents
Week 1:	Introduction and Preliminaries (Real numbers, Intervals, Absolute value, Cartesian coordinates, Equations of lines, Parabolas, Circles, Ellipses, Functions)
Week 2:	Introduction and Preliminaries (Polynomials, Trigonometry and the Trigonometric Functions), Introduction to the concept of limit
Week 3:	Limits and Continuity
Week 4:	The Derivative, Differentiation Rules
Week 5:	Chain Rule, Derivatives of Trigonometric Functions, Higher-Order Derivatives
Week 6:	The Mean-Value 'Theorem, Implicit Differentiation, Antiderivatives and Initial-Value Problems Midterm I
Week 7:	lnverse Functions, Exponential and Logarithmic Functions
Week 8:	The Inverse Trigonometric Functions, Related Rates, Indeterminate Forms
Week 9:	Extreme Values, Concavity and Inflections
Week 10:	Sketching the Graph of a Function, Extreme-Value Problems
Week 11:	Integration, Riemann Sum, Definite Integral, The Fundamental Theorem of Calculus, The Method of Substitution
Week 12:	Techniques of Integration: Integration by Parts, Integrals of Rational Functions, Inverse Substitutions Midterm II
Week 13:	Areas of Plane Regions, Improper Integrals
Week 14:	Improper Integrals, Applications of Integration
Week 15*:	-
Week 16*:	Final exam
Textbooks and materials:	: Calculus, R. A. Adams and C. Essex, 7th Edition, Addison Wesley
Recommended readings:	Howard Anton Calculus: A new Horizon, 6th Edition, Wiley 1999. Calculus and Analytic Geometry, Thomas and Finney, 6th Edition
	* 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:	6,12	30
Other in-term studies:		0
Project:		0
Homework:	2,4,6,8,10,12	10
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):	3	14
Own studies outside class:	3	14
Practice, Recitation:	2	14
Homework:	1	6
Term project:	0	0
Term project presentation:	0	0
Quiz:	0	0
Own study for mid-term exam:	5	5
Mid-term:	4	2
Personal studies for final exam:	8	2
Final exam:	2	1
		Total workload:
		Total ECTS credits:	*
	* ECTS credit is calculated by dividing total workload by 25. (1 ECTS = 25 work hours)