### Introduction to Mathematics (URCM-5101)

Course Outline (Fall Semester 2020)

• Course Title: Introduction to Mathematics
• Course Code: URCM-5101
• Credit Hours: 03
• Instructor: Memoona Nawaz
• Email: [email protected]

Introduction to Course:

This course is built upon the mathematical concepts, principles and techniques.

Course Objectives :

The main objectives of the course are to enhance student's competency in application of mathematical concepts in solving problems and to improve their level of quantitative approach.

Course Learing Outcomes:

Upon the successful completion of this course, students will be able to develope understanding:

• Mathematical functions,
• Building and solving Linear and Quadratic equations,
• Matrices and Determinants with applications,
• Sequence and Series, and
• Basic Financial Mathematics.

Course Contents:

1. Linear Equations and Quadratic Equations: Formation of Linear equation
2. Solving Linear equation involving one variable
3. Solution of Quadratic equation by factorization method
4. Solution of quadratic equation by square completion methods
7. Sequences and Series
8. Matrices and Determinants: Introduction of matrices
9. Types of matrices
10. Matrix operations
11. Inverse of matrix
12. The determinants and its properties
13. Solution of system of linear equations by determinants: Cramer’s rule, Inverse Matrices Method
14. Mathematics of Finance: Simple interest
15. Compound interest
16. Annuities
17. Sets and Sets Operations
18. Permutation and combinations
19. Introduction to mathematical induction and binomial theorem
20. Basic Concepts of Trigonometry
21. Fundamental Identities of Trigonometry

Recommended Book(s):

1. Frank, S. B. (1993). Applied mathematics for business, economics, and the social sciences (4 th ed.). New York: McGraw-Hill publisher.
2. Nauman, K. (2019). Basic mathematics-I: algebra and trigonometry (2 nd ed.). Lahore: Al-Hassan Pub.

Suggested Book(s):

1. Kaufmann, J. E. (1994). College algebra and trigonometry (3 th ed.). Boston: PWS-Kent Pub. Co.
2. Swokowski, E. W. (1993). Fundamentals of algebra and trigonometry (8 th ed.). Boston: PWS-Kent Pub. Co.

Description of System of Evaluation (Exam, Assignments etc.) :

• Mid-Term Examination (Online MCQ’s): 30
• Sessional: 20
• Final Exam (Project 15 + Viva 25 + Presentation 10): 50

Key Dates and Time of Class Meeting:

Program: BS. Persian (2020-2024)

Class: (1st- Semester)

• Monday:                    12:00 PM - 01:30 PM
• Tuesday:                    12:00 PM - 01:30 PM