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