AM015

1.0   NUMBER SYSTEM

        1.1  Real Numbers

        1.2  Indices, Surds and Logarithms

2.0   EQUATIONS, INEQUALITIES AND ABSOLUTE VALUES

        2.1  Inequalities

        2.2  Absolute Values

3.0   SEQUENCES

        3.1  Sequences

         3.2  Arithmetics Sequences

         3.3  Geometric Sequences

         3.4  Applications of Arithmetic and Geometric Sequence

4.0   MATRICES AND SYSTEMS OF LINEAR EQUATIONS

        4.1  Matrices

        4.2  Determinant of Matrices

        4.3  Inverse of a Matrix

        4.4  System of Linear Equations with Three Variables

5.0   FUNCTIONS AND GRAPHS

        5.1  Functions

        5.2  Composite Functions

        5.3  Inverse Functions

        5.4  Exponential and Logarithmic Function

6.0   POLYNOMIALS

        6.1  Polynomials

        6.2  Remainder Theorem, Factor Theorem and Zeros of polynomials.

        6.3  Partial Fractions

7.0   LIMITS AND CONTINUITY

        7.1  Limits

8.0   DIFFERENTIATION

        8.1  Derivative of a Function

        8.2  Rules of Differentiation

        8.3  Differentiation of Exponential, Logarithmic and Trigonometric Functions

        8.4  Implicit Differentiations

9.0  APPLICATIONS OF DIFFERENTIATION

        9.1  Tangent and Normal Equations

        9.2  Extremum Problems

        9.3  Applications of Differentiation in Economics and Business

 

AM025

 

1.0  PARTIAL DIFFERENTIATION

      1.1  First Order Partial Derivatives

      1.2  Second Order Partial Derivatives

      1.3  Extremum Of Functions Of Two Variables

      1.4  Lagrange Multiplier

2.0  INTEGRATIONS

      2.1  Integration of Functions

      2.2  Techniques of Integration

      2.3  Definite integrals

3.0  APPLICATIONS OF DEFINITE INTEGRALS

      3.1  Area Under a Curve and Between Two Curves

      3.2  Applications of Integration in Economics and Business

4.0  LINEAR PROGRAMMING

      4.1  System Of Linear Inequalities

      4.2  Problem Interpretation, Formulation and Solving

5.0  MATHEMATICS OF FINANCE

       5.1  Simple Interest

       5.2  Simple Discount

       5.3  Compound Interest

       5.4  Annuity

 6.0 DATA DESCRIPTION

       6.1  Introduction

       6.2   Frequency Distributions

       6.3   Measures Of Central Tendency

       6.4   Measures Of Dispersion

7.0   PROBABILITY

        7.1   Events And Probability

        7.2  Probablilty of mutually exclusive events

        7.3  Conditional Probability

        7.4   Independent events

8.0   RANDOM VARIABLES

        8.1  Introduction To Random Variables

        8.2  Discrete Random Variables

        8.3  Continuous Random Variables

 

9.0   SPECIAL PROBABILITY DISTRIBUTIONS

       9.1  Binomial Distribution

       9.2  Poisson Distribution

       9.3  Normal Distribution

10.0  CORRELATION AND REGRESSION

         10.1 Linear Correlation

         10.2 Simple Linear Regression

11.0   INDEX NUMBER

         11.1 Index Number

         11.2 Unweighted Index Number

         11.3 Weighted Index Number