Linear and quadratic equations with applications. Linear inequalities. Absolute value. Elementary functions, their compositions and graphs in Cartesian coordinates. Linear and quadratic functions. Systems of linear equations. Matrices and operations with matrices. Determinant and Inverse of a matrix. Solutions of systems of linear equations.
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Course Learning Outcomes
Learning Outcomes  Teaching Methods  Assessment Methods 
1) Repeats the notion of real numbers and some of its properties, remembers simple algebraic techniques of: factoring, linear equation systems and linear inequalities.  1  A 
2) Learns the notion of function, learns: graphs of functions, composition of functions, the notion of inverse function and absolute value.  1  A 
3) Learns symetry, reflection and rotations in cartesian coordinates. Observes systems of linear equations and graphs and applications of quadratic equations in cartesian coordinates.  1  A 
4) Learns matrix operations and the notian of inverse matrix.  1  A 
5) Can solve systems of linear equations through matrices.  1  A 
Course Flow
Week  Topics  Study Materials 
1 
Chapter 0: Review of Algebra
Sets of Real Numbers, Some properties of Real Numbers, Exponents and Radicals, 
0.1, 0.2, 0.3

2  Operations with Algebraic Expressions , Factoring, Fractions,  0.4, 0.5, 0.6 
3  Equations of Linear Equations, Quadratic Equations  0.7, 0.8 
4 
Chapter 1: Applications and More Algebra
Applications of Equations, Linear Inequalities, 
1.1, 1.2 
5  Applications of Inequalities, Absolute Value  1.3, 1.4 
6 
Chapter 2: Functions and Graphs
Functions, Special Functions, Combinations of Functions, Inverse Functions 
2.1, 2.2, 2.3, 2.4 
7  Graphs in Rectangular Coordinates, Symmetry, Translation and Reflections  2.5, 2.6, 2.7 
8  Review  
9 
Chapter 3: Lines, Parabolas and Systems
Lines, Applications and Linear Functions, 
3.1, 3.2 
10  Quadratic Functions, Systems of Linear Functions  3.3, 3.4 
11 
Chapter 6: Matrix Algebra
Matrices, Matrix Addition and Scalar Multiplication 
6.1, 6.2 
12  Matrix Multiplication, Solving System by Reducing Matrices  6.3, 6.4 
13  Solving System by Reducing Matrices(cont.), Inverses of Matrices  6.5, 6.6 
14  Review 
Recommended Sources
Textbook 
Introductory Mathematical
Analysis, 13th Edition by Ernest Haeussler, Richard S. Paul, Richard Wood, Pearson Prentice Hall 
Additional Resources 
Material Sharing
Documents  
Assignments  
Exams 
Assessment
INTERM STUDIES  NUMBER  PERCENTAGE 
Midterms  1  100 
Quizzes  
Assignments  
Total  100  
CONTRIBUTION OF FINAL EXAMINATION TO OVERALL GRADE  60  
CONTRIBUTION OF INTERM STUDIES TO OVERALL GRADE  40  
Total  100 
COURSE CATEGORY 
Course’s Contribution to Program
No  Program Learning Outcomes  Contribution  
1  2  3  4  5  
1  The ability to make computation on the basic topics of mathematics such as limit, derivative, integral, logic, linear algebra and discrete mathematics which provide a basis for the fundamenral research fields in mathematics (i.e., analysis, algebra, differential equations and geometry)  
2  Acquiring fundamental knowledge on fundamental research fields in mathematics  
3  Ability form and interpret the relations between research topics in mathematics  
4  Ability to define, formulate and solve mathmatical problems  
5  Consciousness of professional ethics and responsibilty  
6  Ability to communicate actively  
7  Ability of selfdevelopment in fields of interest  
8  Ability to learn, choose and use necessary information technologies  
9  Lifelong education 
ECTS
ECTS ALLOCATED BASED ON STUDENT WORKLOAD BY THE COURSE DESCRIPTION  
Activities  Quantity 
Duration (Hour) 
Total Workload (Hour) 
Course Duration (14x Total course hours)  14  3  42 
Hours for offtheclassroom study (Prestudy, practice)  14  4  56 
Midterms (Including self study)  1  12  12 
Final examination (Including self study)  1  15  15 
Total Work Load  125  
Total Work Load / 25 (h)  5  
ECTS Credit of the Course  5 