**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