Contents

1. Basics of Maxima Software

1. Introduction

2. History

3. Applications

4. Basic Commands

2. Algebra

1. Introduction

1.1 Polynomial

1.2 Sets

1.3 Function

1.4 Inverse of a Function

1.5 Basic Commands for Numbers

1.6 Complex Number

1.7 Divisibility in Integers

1.8 Prime Numbers and the Theory of Congruence

3. Plotting

1. Introduction

2. Plots in 2D

2.1 Discrete Plot and Parametric Plots

2.2 Implicit plots

2.3 Contour Plots

3. Plots in 3D

4. Calculus

1. Real Numbers

2. Limit

3. Continuous Function

4. Sequences and its Plotting

5. Discrete Mathematics

1. Logic

2. Propositional Equivalence 

3. Predicates, Assumptions and Facts

4. Boolean Algebra

4.1 Graph

4.2 Boolean Variables and Boolean Function

4.3 Representation of Boolean Functions

4.4 Simplification of Boolean Expression

5. Counting Principles

6. Recurrence Relation

6.1 Linear Homogeneous Recurrence Relation

6.2 Linear Non Homogeneous Recurrence Relation

6. Matrices and Linear Algebra

1. Introduction

2. Matrices

2.1 Algebra of Matrices

2.2 Operations on Matrices

2.3 Column Space, Null Space, Rank and Nullity

2.4 Echelon form of Matrix