online 1-1 concept teaching and doubt clearning sessions for IMC
Syllabus:
Numbers: Operations and properties, Counting and sequences, Fractions, Decimals, Percentages, Ratio and Proportion, Place value, Integers and Power, Money.
Algebra: Expressions, Factorizations, Equations, Inequalities, Exponents, Radicals, Polynomials.
Sets: Set language and notation, Concepts of sets, Set theory.
Functions: Composition of functions, Inverse functions, Properties of functions, Transformation of graphs, Graph of a function, Applied problems.
Trigonometry: Fundamentals of trigonometry, Trigonometric functions, Trigonometric theorems and formulas, Trigonometric equations, Trigonometric inequalities.
Statistics and Probability: Combinatorics, Permutation, Probability, Statistics, Presenting and interpreting data, Average.
Geometry and Measurement: Polygons, Area, Perimeter, Coordinate geometry, Analytic analysis of lines, Similarity, Analytic analysis of circles, Solids.
Non-Routine Problem Solving: Number patterns, Divisibility tests, Spatial visualization, Logic problems, Cryptarithms, Word problems
Logarithmic and Exponential Functions: Properties and graphs of exponential functions, Exponential equations, Properties and graphs of logarithmic functions, Logarithmic equations, Exponential and logarithmic inequalities.
Derivatives: Limit of a function, Indeterminate forms, Continuous functions, Techniques of differentiation, Applications of derivatives, Optimization problems, Plotting graphs.
Integrals: Antiderivative and indefinite integral, Integration methods.