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Elementary Mathematics I (Algebra)

Course Code: MATH-111

Title: Elementary Mathematics ‐ I (Algebra)

Credit Hours: 03

Objectives of the Course:

To prepare the students, not majoring in mathematics, with the essential tools of algebra to apply the concepts and the techniques in their respective disciplines.

Course Outline:

  • Real-number system
  • Complex numbers
  • Introduction to sets
  • Set operations
  • Functions, types of functions.


  • Introduction to matrices
  • Types of Matrices
  • Matrix inverse
  • Determinants of Matrix
  • System of linear equations
  • Cramer’s rule.

Quadratic Equations:

  • Solution of quadratic equations
  • Qualitative analysis of roots of a quadratic equation
  • Equations reducible to quadratic equations
  • Cube roots of unity
  • Relation between roots and coefficients of quadratic equations.

Sequences and Series:

  • Arithmetic progression
  • geometric progression,
  • Harmonic progression.

Binomial Theorem:

  • Introduction to mathematical induction
  • binomial theorem with rational and irrational indices.


  • Fundamentals of trigonometry
  • Trigonometric identities.

Recommended Books:

  • Dolciani MP, Wooton W, Beckenback EF, Sharron S, Algebra 2 and Trigonometry, 1978, Houghton & Mifflin,
  • Kaufmann JE, College Algebra, and Trigonometry, 1987, PWS-Kent Company, Boston
  • Swokowski EW, Fundamentals of Algebra and Trigonometry (6th edition), 1986, PWS-Kent Company, Boston

Past Papers Punjab University: