CA Foundation Syllabus 2020
Business Arithmetic
Ratio, Types of Ratio ,Compounded Ratio, Duplicate Ratio, Sub Duplicate Ratio, Triplicate Ratio, Inverse Ratio, Reciprocal Ratio, Continued Ratio, Comparison of Ratio, Proportion, Cross Product Rules, Inverse Proportion, Continuous Proportion, Properties of Proportion,
Time Value of Money. Simple Interest. Compound interest. Depreciation. Effective Rate of Interest. Present Value. Net Present Value. Future Value. Perpetuity. Annuities. Sinking Funds. Valuation of Bonds. Calculating of EMI. Calculations of Returns – Nominal Rate of Return; Effective Rate of Return; Compound Annual growth rate (CAGR).
Discounting of Bills
Present Value, True Discount, Banker’s Discount, Banker’s Gain
Algebra
Index, Base, Properties of Indices
Logarithm
Logarithm, Laws of Logarithm, Base, Chang of Base, Common Logarithm, Antilogarithm, Characteristics, Mantissa, Logarithmic Table, Antilogarithm Table.
Permutation & Combination
Principle of Counting, Permutation, Factorial, Circular Permutation, Combination, Restrictive Permutation, Restrictive Combination.
Sequence, Series, Arithmetic Progression, Arithmetic Mean, Geometric Progression, Geometric Mean
Roots of Equation, Linear Equation, Quadratic Equation, Cubic Equation
Linear Inequalities, Algebraic Solution of Linear Equation, Graphical Solution of Linear Equation
Matrix
Matrix, Row Matrix, Column Matrix, Square Matrix, Diagonal Matrix, Scalar Matrix, Lower Triangular Matrix, Operations on Matrix, Equality of Matrices, Scalar multiplication of Matrix, Transpose of Matrix, Symmetric Matrix, Skew Symmetric Matrix
Determinant
Determinant, Determinant of Order 2, Determinant of Order 3, Properties of Determinants, Minors and Cofactors, Adjoint and Inverse of a Matrix, Applications of Determinants and Matrices
Calculus
Calculus, Differentiation, Derivative, Derivative Function, Implicit functions, Parametric Function, Derivative Of Function Of A Function, Second Order Derivative, Partial Derivative, Logarithmic Differentiation, Extreme of differentiable Function, Maxima and Minima, Applications of Maxima and Minima,
Integral Calculus
Integration, Integrals, Integration by Substitution, Integration by Parts, Integration by Rationalisation, Standard Integrals, Definite Integrals, Summation of Series by Definite Integral, Geometrical Interpretation of Definite Integrals. Area under Simple Curves
Set Theory
Set,Equivalent Set, Disjoint Set, Super Set, Subset, Complement of set, Power Set, Operations on Sets, Idempotent Laws, Identity Laws, Commutative Laws, Associative Laws, Distributive Laws, Demorgan’s Laws, Venn Diagram, Ordered Pairs,
Relations & Functions
Cartesian Product of Sets, Relations, Function, Domain, Range, Algebra of Real Functions, Composition of Functions, Invertible Function, Binary Operations
