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)	NA
Main Course Lecturer (name, surname, academic title/scientific degree, email address and signature) and Office Hours:	M.Sc. Vasil Lino vlino@epoka.edu.al , Monday - Friday 8:30 - 16.30
Second Course Lecturer(s) (name, surname, academic title/scientific degree, email address and signature) and Office Hours:	NA
Teaching Assistant(s) 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:	E - 406 Friday 13:30 - 15:30
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 engineering problems.

BASIC CONCEPTS OF THE COURSE

1	Algebraic operations and the graph of the linear function.
2	Parabola, logarithmic and exponential as a functions, equations, and their graphs.
3	The graph of a function as a real view of it's behavior
4	A point in plane can be presented by Cartesian and polar coordinates
5	A clear concept for the plane figures.
6	A clear concept for the solids on 3D real space.
7	A clear concepts for the limit, continuity, differentiation and integration.
8	Differential equations as equations which describe dynamic processes.
9	A matrix as a table of information. System of linear equations as a matrix equation
10	A clear concept for statistical table, manipulations of data and probabilistic distributions.

COURSE OUTLINE

Week	Topics
1	revision from high schooll
2	Parabola, logarithmic and exponential functions
3	Line, curves and graphs of the functions
4	Trigonometry, Cartesian and polar coordinates
5	Geometry. Polygons, circle, ellipse, hyperbola. Area and circumference
6	Positions of planes and lines in 3D space. volume and areas of common solids. Vectors.
7	Midterm
8	Functions. Limits and continuity
9	Derivatives and optimizations. Integrals
10	Revision limits, differentiation and integration
11	Differential equations
12	Matrices and determinants. System of linear equations, inverse matrix, row operations. Crammers' rule
13	Statistics and probability
14	Revision for final exam

Prerequisite(s):	A stable and more than average knowledge of the math program of the high sc
Textbook(s):	Basic Engineering Mathematics. Seventh Edition 2017. John Bird «Calculus», James Stewart, 9-th edition
Additional Literature:	Elementary Linear Algebra. Sixth Edition 2009. Ron Larson, David C. Falvo. geometry and 3D geometry books.
Laboratory Work:
Computer Usage:
Others:	No

COURSE LEARNING OUTCOMES

1	To understand better the basic elements of the math program of the high schooll
2	Clarify and deep the knowledge for parabola, logarithmic and exponential function
3	Sketching the graphs of the function by hand and by software programs
4	The student must know to solve trigonometric equations and prove identities. explain harmonic figures using the functions given in polar coordinates
5	To be able to find area and circumferences whatever geometric figures.
6	To have a correct imagination for the position of the solids in 3D space.
7	The student must be able to analyze functions, to find limits and to prove continuity.
8	Must know to find derivatives and integrals and to apply them in a real optimization problems.
9	Must know to solve linear systems using inverse matrix method, Gauss-Jordan elimination methods, and Crammer' Rule
10	To be able to predict the future, to take decisions based on statistics and probability.

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
1	Speaking and Writing Skills Ability to read, write, listen, and speak effectively	5
2	Critical Thinking Skills Ability to raise clear and precise questions, use abstract ideas to interpret information, consider diverse points of view, reach well-reasoned conclusions, and test them against relevant criteria and standards	4
3	Graphics Skills Ability to use appropriate representational media, including freehand drawing and computer technology, to convey essential formal elements at each stage of the programming and design process	3
4	Research Skills Ability to gather, assess, record, and apply relevant information in architectural course work	5
5	Formal Ordering Systems Understanding of the fundamentals of visual perception and the principles and systems of order that inform two- and three-dimensional design, architectural composition, and urban design	4
6	Fundamental Design Skills Ability to use basic architectural principles in the design of buildings, interior spaces, and sites	4
7	Collaborative Skills Ability to recognize the varied talent found in interdisciplinary design project teams in professional practice and work in collaboration with other students as members of a design team	5
8	International Traditions Understanding of the International architectural canons and traditions in architecture, landscape and urban design, as well as the climatic, technological, culture-economic, and other cultural factors that have shaped and sustained them	3
9	National and Regional Traditions Understanding of national traditions and the local regional heritage in architecture, landscape design and urban design, including the vernacular tradition	3
10	Use of Precedents Ability to incorporate relevant precedents into architecture and urban design projects	3
11	Conservation and Restoration of Historical Districts Knowledge on historical districts and the gain of conservation consciousness documentation of historical buildings and the understanding the techniques which are needed to prepare restoration projects.	3
12	Human Behavior Understanding of the theories and methods of inquiry that seek to clarify the relationship between human behavior and the physical environment	4
13	Human Diversity Understanding of the diverse needs, values, behavioral norms, physical ability, and social and spatial patterns that characterize different cultures and individuals and the implication of this diversity for the societal roles and responsibilities of architects

COURSE EVALUATION METHOD

Method	Quantity	Percentage
Midterm Exam(s)	1	35
Quiz	2	5
Final Exam	1	45
Attendance		10
	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	3	2	6
Final examination	1	10	10
Other	2	2	4
Total Work Load:			100
Total Work Load/25(h):			4
ECTS Credit of the Course:			4

CONCLUDING REMARKS BY THE COURSE LECTURER

At the application of this program is important the usage of mathematical rules in the modeling and analyzing of the real engineering formulas. On the focus will be the concept of the mathematical function and its application for optimizations. Important elements of these concepts are right implementation of their properties and features on architecture.