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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:Preliminaries:

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

## Matrices:

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

• 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.

## Trigonometry:

• 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