COURSE INFORMATION Course Title: BASIC MATHEMATICS

Code	Course Type	Regular Semester	Theory	Practice	Lab	Credits	ECTS
MTH 125	A	1	3	0	0	3	4

Academic staff member responsible for the design of the course syllabus (name, surname, academic title/scientific degree, email address and signature)	M.Sc. Ardit Dragoti adragoti@epoka.edu.al
Main Course Lecturer (name, surname, academic title/scientific degree, email address and signature) and Office Hours:	M.Sc. Ardit Dragoti adragoti@epoka.edu.al
Second Course Lecturer(s) (name, surname, academic title/scientific degree, email address and signature) and Office Hours:	NA
Language:	English
Compulsory/Elective:	Compulsory
Study program: (the study for which this course is offered)	Integrated second cycle study program in Architecture (5 years)
Classroom and Meeting Time:	Check Timetable
Teaching Assistant(s) and Office Hours:	NA
Code of Ethics:	Code of Ethics of EPOKA University Regulation of EPOKA University "On Student Discipline"
Attendance Requirement:	75%
Course Description:	Each topic is considered in a way that assumes in the student average knowledge of the program of the high school. The theory is introduced in every topic as an essential definition, formulas, theorems, laws, and procedures. The practice problems and exercises are introduced as a correct application of the mathematical truths. Real architectural problems are presented as mathematical problems, aiming to improve the students’ ability to solve and to optimize them.
Course Objectives:	The course aims to further improve the student’s knowledge of the covered topics in basic mathematics. Each topic is presented in a way that assumes in the reader has good previous knowledge of the high school math program. The theoretical part of the topics includes essential definitions, laws, rules, formulas, and algorithms. The main objective is to make the students to be able to solve real world problems modeled by mathematics means.

BASIC CONCEPTS OF THE COURSE

1	Functions
2	Graph of functions
3	Limits
4	Continuity
5	Derivatives
6	Integrals

COURSE OUTLINE

Week	Topics
1	General overview on functions and their properties. pg 10-35
2	New functions from old ones. pg 36-68
3	The concept of the limit. One-sided limits. pg 78-113
4	Limits at infinity. Continuity. 114-139
5	Derivatives. Differentiation rules. pg 152-190
6	Differentiation rules. Review. Exercises. 197-220
7	Midterm Exam
8	Applications of derivatives: tangent and normal lines, monotony, concavity. 276-320
9	Applications of derivatives: optimization problems. 325-350
10	Introduction to integrals. Indefinite integrals. 366-390
11	The definite integral. The fundamental theorem of calculus. 392-410
12	Integration techniques: integration by substitution. integration by parts. 412-420, 472-478
13	Applications of integrals: Areas between curves. 428 - 430
14	Review. Exercises.

Prerequisite(s):
Textbook(s):	Calculus Early Transcendentals, J. Stewart, 8-th edition
Additional Literature:
Laboratory Work:
Computer Usage:
Others:	No

COURSE LEARNING OUTCOMES

1	To understand better the basic elements of math program of the high school.
2	Clarify and deep the knowledge for different types of functions including logarithmic and exponential function
3	Sketching the graphs different types of functions manually and by using software programs.
4	To be able do define limit and continuity.
5	The student must be able to analyze functions, to find limit and to prove continuity.
6	Defining derivative and integral
7	Finding derivatives and integrals of different functions.
8	Applying knowledge of derivative and integral in optimization and real world problems.

COURSE CONTRIBUTION TO... PROGRAM COMPETENCIES (Blank : no contribution, 1: least contribution ... 5: highest contribution)

No	Program Competencies	Cont.
Integrated second cycle study program in Architecture (5 years) Program

COURSE EVALUATION METHOD

Method	Quantity	Percentage
Homework	2	5
Midterm Exam(s)	1	30
Quiz	2	5
Final Exam	1	45
Attendance		5
	Total Percent:	100%

ECTS (ALLOCATED BASED ON STUDENT WORKLOAD)

Activities	Quantity	Duration(Hours)	Total Workload(Hours)
Course Duration (Including the exam week: 16x Total course hours)	16	3	48
Hours for off-the-classroom study (Pre-study, practice)	16	1	16
Mid-terms	1	16	16
Assignments	2	2	4
Final examination	1	10	10
Other	2	3	6
Total Work Load:			100
Total Work Load/25(h):			4
ECTS Credit of the Course:			4

CONCLUDING REMARKS BY THE COURSE LECTURER