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 symmetry, 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 notion of the 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 |
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 |
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 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 | ||