The course introduces students with key concepts of basic mathematics

**Prerequisite **

None

**Learning Outcomes**

At the end of this course the student will be able to:

- understand real number system
- to analyze arguments using truth tables
- prove formulas that are valid for all n ∈ ℕ by using the principle of mathematical induction
- find limits of sequences
- solve derivatives and integrals (simple cases)
- explain about matrices, vectors, veterminants, Cramer's rule.
- learn related to probability, Scatter Diagrams

**Contents**

- Numbers: Integers, Rational and Real number Systems.
- The Statement Calculus and Logic: Analyzing Arguments Using Truth Tables, Contradiction and Consistency.
- Mathematical Induction.
- Sets: Relations and Functions.
- Counting: Binomial Expansions.
- Functions: Important Functions, Functions and Angular Measure.
- Sequences: Limits of Sequences, Series, Infinite Series.
- Calculus: Continuity and Differentiability, Newton-Raphson Methods, Integrals and Integrations.
- Algebra: Matrices, Vectors etc.: Equation Solving, More on Matrices, Addition and Subtraction, Determinants, Properties of the Determinant, Cramer's Rule.
- Probability: Probability - the Rules, Equally Likely Events, Conditional Probability, Bayes, Random Variables and Distributions, Expectation, Moments, Some Discrete Probability Distributions, The Normal Distribution.
- Looking at Data: Looking at Data, Summary Statistics, Diagrams, Scatter Diagrams.

**Textbook(s)**

- Mathematics for Computer Scientists by Gareth J. Janacek and Mark Lemmon Close; Ventus Publishing ApS ( 2009).

**Reference Material**

- Basic Math and Pre-Algebra For Dummies by Mark Zegarelli, For Dummies; 1 edition.
- Basic College Mathematics by Elayn Martin-Gay, Pearson; 4 edition.
- Basic College Mathematics by Ignacio Bello, McGraw-Hill Science/Engineering/Math; 4 edition.

**ASSESSMENT CRITERIA**

Sessional: 20 (Presentation / Assignment 10, Attendance 05, Quiz 05)

Mid-Term Exam: 30

Final-Term Exam: 50