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

Intended Learning Outcomes: Upon successful completion of the course, a student will be able to acquaint with the basic concepts and significance of Mathematics as it stands today.

Contents

Real-number system
Complex numbers
Introduction to sets
Set operations
Functions
Types of functions
Solution of quadratic equations
Qualitative analysis of roots of a quadratic equations
Equations reducible to quadratic equations
Cube roots of unity
Relation between roots and coefficients of quadratic equations.
Arithmetic progression
Geometric progression
Harmonic progression
Introduction to mathematical induction
Binomial theorem with rational and irrational indices
Introduction to matrices
Types of matrix
matrix inverse
Determinants
System of linear equations
Cramer’s rule.
Fundamentals of trigonometry, trigonometric identities.

Recommended Books

Ann Xavier Gantert, 2009. Algebra 2 and Trigonometry. Amsco School Publications, Inc..

Swokowski, E.W. 1986. Fundamentals of Algebra and Trigonometry, 6th Edition. PWS-Kent Company, Boston.

Dolciani, M.P., Wooton, W., Beckenback, E.F., Sharron, S. 1978. Algebra 2 and Trigonometry. Houghton & Mifflin.

Kaufmann, J.E., 1987. College Algebra and Trigonometry, PWS-Kent Company, Boston.

Assessment Criteria

• Sessional: 20 (Presentation / Assignment 10, Attendance 05, Quiz 05)
• Mid-Term Exam: 30 (or Term Paper)
• Final-Term Exam: 50 (or Viva + online)