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.
- 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.
- 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.
- Introduction to mathematical induction
- binomial theorem with rational and irrational indices.
- Fundamentals of trigonometry
- Trigonometric identities.
- 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