Basic Mathematics (MATH-2215)

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

1. Numbers: Integers, Rational and Real number Systems.
2. The Statement Calculus and Logic: Analyzing Arguments Using Truth Tables, Contradiction and Consistency.
3. Mathematical Induction. 
4.  Sets: Relations and Functions.
5. Counting: Binomial Expansions.
6.  Functions: Important Functions, Functions and Angular Measure.
7. Sequences: Limits of Sequences, Series, Infinite Series.
8. Calculus: Continuity and Differentiability, Newton-Raphson Methods, Integrals and Integrations.
9.  Algebra: Matrices, Vectors etc.: Equation Solving, More on Matrices, Addition and Subtraction, Determinants, Properties of the Determinant, Cramer's Rule.
10. Probability: Probability - the Rules, Equally Likely Events, Conditional Probability, Bayes, Random Variables and Distributions, Expectation, Moments, Some Discrete Probability Distributions, The Normal Distribution.
11.  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