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.
Vertical Tabs
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
|
IN-TERM STUDIES |
NUMBER |
PERCENTAGE |
|
Mid-terms |
1 |
100 |
|
Quizzes |
|
|
|
Assignments |
|
|
|
Total |
|
100 |
|
CONTRIBUTION OF FINAL EXAMINATION TO OVERALL GRADE |
|
60 |
|
CONTRIBUTION OF IN-TERM STUDIES TO OVERALL GRADE |
|
40 |
|
Total |
|
100 |
|
COURSE CATEGORY |
|
Course’s Contribution to Program
|
No |
Program Learning Outcomes |
Contribution |
||||
|
1 |
2 |
3 |
4 |
|
||
|
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 self-development 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 |
Total |
|
Course Duration (14x Total course hours) |
14 |
3 |
42 |
|
Hours for off-the-classroom study (Pre-study, practice) |
14 |
4 |
56 |
|
Mid-terms (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 |