The purpose of this course is to continue the study of algebra and to provide the foundation for applying algebraic skills to other mathematical and scientific fields. The content includes, but not be limited to, the following:
structure and properties of the complex number system
arithmetic and geometric sequences and series
relations, functions and graphs extended to polynomial, exponential, and logarithmic functions
varied solution strategies for linear equations, inequalities, and systems of equations and inequalities, the quadratic formula, for quadratic equations
conic sections and their applications
data analysis, including measures of central tendency and dispersion
probability, permutations, and combinations
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PART I: COMPLEX NUMBERS. |
Lesson 1.1: Properties. Forms of Representation. |
Lesson 1.2: Addition, Subtraction and Multiplication of Complex Numbers. |
Lesson 1.3: Division of Complex Numbers. |
PART II: SEQUENCES AND SERIES OF REAL NUMBERS |
Lesson 2.1: Arithmetic Sequences. |
Lesson 2.2: Geometric Sequences. |
PART III: EQUATIONS OF STRAIGHT LINES |
Lesson 3.1: Slope Intercept Equations of Straight Lines. |
Lesson 3.2: Horizontal, Vertical and parallel Lines. |
PART IV: SYSTEMS OF EQUATIONS.DETERMINANTS |
Lesson 4.1: Cramer's Rule. |
Lesson 4.2: Quadratic Inequalities.Graphic Solution. |
PART V: RADICALS.PROPERTIES AND OPERATIONS. |
Lesson 5.1: Radicals.Rationalization. |
Lesson 5.2: Introduction to Probability. Concept of Probability. |