WELCOME TO TUTOR OWL’S SUMMER PROGRAM 2007 MATHEMATICS

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ELEMENTARY MATHEMATICS. Simple Addition/Subtraction/Multiplication/Division. Simple Fractions. Counting Nos. Multiplication Tables. Data & Basic Graphic. Use of Currency. Simple Geometry Figures. Basic Measurements & Integers. Time & Calendar. Number & Pattern System. Data, Statistics & Probabilities. Introduction to Algebra. Decimals System. Positive and Negative numbers. Rational Numbers. Solving Equations and inequalities. Geometry. Ratio,Proportion and Percent. The Coordinate Plane. Areas and Volumes. Square Roots and Right Triangles. Probability. Statistics. Polynomials. PRE - ALGEBRA. Complex Basic Addition / Subtraction/Multiplication/Division Simplification PEMDAS(Rule). Fraction (Basic Functions). Decimal (Basic Function). LCM/GCD. Percentage. Evaluation. FPS/Fahrenheit-Centigrade. Area / Volume. ALGEBRA I. Word Problems. Algebraic Solution involving Basic Function. Simple Equation. Exponents (basic functions). Dependent / Independent functions. Binomials / Trinomials. Middleterm Factorization. Expansion. Simplification with algebraic expressions. Algebraic Functions. Ratio & Proportion – Algebraic. Graphical Expressions. Solid Figures. Roots : Square & Cubes. Radicals. Basic Probability Theory. ALGEBRA II InEquation. (basic function) Other Methods of Factorization. Slope & Intercept. Introduction to Co-ordinate geometry. Simple Functions. Radicals / Exponential Simultaneous Equation (complex). Graphical expressions of polynomials. Basic Trigonometry. Statistics & Probability. PRE-CALCULAS Graphs Co-ordinate Geometry – Ellipse/Parabola/Hyperbola. Inequalities; Probabilities. Straight Lines Detail Functions & Graphs. Complex Nos & Demoivre’s Theory. Exponential & Logarithms. Growth & Decay Functions. Curve / Graph Fittings. Laws of Indices. Detailed Trigonometry. Polar Co-ordinates & Graphing. Vectors. Transformation. Parametric Equation. System of Equation. Matrices & Determinants. Partial Fractions LPP. Sequence & Series. Set Theory. Probability Theory Permutation & Combination. Function & Limits. CALCULAS Functions : Details & Limits. Continuity. Differentiation. Integration – Definite & Indefinite. Calculus of Growth Entity. Area of Curves. Hyperbolic Functions. Calculus of Motions. Vector. Series – Details. Differential Equations. Application of Calculus. TRIGONOMETRY Ratios & Identities. Angles Measurement – Positive & Negative Angles. Compound Angle. Sum & Differences of Angles. Multiple & Submultiples of Angles. Inverse Circular Functions. Identities. Compound Angle. General Solutions. Properties of Triangle. GEOMETRY Angles – Various Types Parallel Line (Theorems). Theorems on Intersecting Lines. Triangles – Theorems & Congruency). Similarity. Parallelograms – Theorems. Trapezoids. Inequalities. Ratio & Proportions. Right Triangles. Circles (Tangents, Arc & Chord Properties). Inscribed Angles & Segments. Basic Constructions. Polygons. Geometric Probabilities. Prism., Pyramid, Cones & Sphere – Properties. Geometry & Algebra Interface – Straight Lines. Transformation – Reflection, Rotation, Dilation. Lines of Symmetry.

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