Dive into core set principles.
Explain facts about sets. Describe sets in different ways. Define operations on sets. Demonstrate set operations using Venn diagram. Apply rules and principles of set theory for practical situations.
Discover the Magic of Numbers
Describe rational numbers. Locate rational numbers on number line. Describe irrational numbers. Locate some irrational numbers on a number line. Define real numbers. Classify real numbers as rational and irrational. Solve mathematical problems involving real numbers.
Uncover the Magic of Solving Equations
Revise linear equation in one variable. Use different techniques of solving systems of equations in two variables. Solve simple equations involving absolute values. Compute equations involving exponents and radicals. Solve quadratic equations. Apply equations on real life situations.
About the Course
Welcome to our Mathematics Tutorial prepared in line with the Ethiopian curriculum, where we delve into the fundamental principles and skills to enhance your understanding. This tutorial is tailored to empower students with in-depth knowledge to excel in their mathematics curriculum. Join us to unlock the mysteries of maths and unleash your potential. Enroll now to kickstart your journey!
Course Curriculum
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1
Unit 1. RELATIONS AND FUNCTIONS
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RELATIONS
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INVERSES OF RELATIONS AND THEIR GRAPHS
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TYPES OF FUNCTION
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COMPOSITION OF FANCTIONS
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INVERSE FUNCTIONS AND THEIR GRAPHS
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APPLICATIONS
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2
Unit 2. RATIONAL EXPRESSIONS AND RATIONAL FANCTIONS
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RATIONAL EXPRESSIONS
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RATIONAL EQUATIONS AND RATIONAL INEQUALITIES
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RATIONAL FANCTIONS AND THEIR GRAPHS
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APPLICATIONS
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Application
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Summary and Review Exercises
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3
Unit 3. MATRICES
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THE CONCEPTS OF A MATRICES
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OPERATIONS ON MATRICES
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SPECIAL TYPES OF MATRICES
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ELEMENTARY ROW OPERATIONS ON MATRICES
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SYSTEM OF LINEAR EQUATIONS TWO OR THREE VARIABLES
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SOLUTIONS OF SYSTEMS OF LINEAR EQUATIONS
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INVERSE OF A SQUARE MATRIX
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APPLICATIONS
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4
Unit 4: DETERMINANTS AND THEIR PROPERTIES
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DETERMINANTS OF MATRICES OF ORDER 2
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MINORS AND COFACTORS OF ELEMENTS OF MATRICES
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DETERMINANTS OF MATRICES OF ORDER 3
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PROPERTIES OF DETERMINANTS
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INERSE OF A SQUARE MATRIX OF ORDER 2 AND 3
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SOLUTIONS OF SYSTEMS OF LINEAR EQUATIONS USING CRAMER IS RULE
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APPLICATIONS
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5
Unit 5. VECTORE
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REVISION ON VECTORE AND SCALARS
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REPRESNTATION OF VECTORE
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VECTORE PRODUCT
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APPLICATION OF SCALAR AND CROSS PRODUCT
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APPLICATION OF VECTORS
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APPLICATIONS
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6
Unit 6. TRANSFORMATIONS OF THE PLANE
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INTRODACTION
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TRANSLATION
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REFLACTION
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ROTATION
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APPLICATIONS
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7
Unit 7. STATISTICS
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TAYPES OF DATA
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INTRODUCTION TO GROUPED DATA
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GRAPHICAL REPRESENTATION OF GROUPED DATA
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MEASURES OF SENTRAL TENDENCY AND THEIR INTERPRETATION
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REAL-LIFE APPLICATION OF STATISTICS
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Construction of Similar Plane Figure
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Applications of Similarities
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Summary
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Review Exercise
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8
Unit 8.PROBABILITY
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INTRODUCTION
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FUNDAMENTAL PRINCIPLE OF COUNTING
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PERMUTATION AND COMBINATIONS
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BINOMIAL THEOREM
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RANDOM EXPERIMENTS AND THEIR OUTCOMES
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EVENTS
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PROBABILITY OF AN EVENTS
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REAL-LIFE APPLICATION OF PROBABILITY
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