Basic Mathematics (MATH-2215)


The course introduces students with key concepts of basic mathematics



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



  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.


  • 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.


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

Mid-Term Exam:  30

Final-Term Exam: 50

Course Material