**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:**

- Linear Equations and Quadratic Equations: Formation of Linear equation
- Solving Linear equation involving one variable
- Solution of Quadratic equation by factorization method
- Solution of quadratic equation by square completion methods
- Solution of quadratic equation by quadratic formula
- Application of quadratic equation
- Sequences and Series
- Matrices and Determinants: Introduction of matrices
- Types of matrices
- Matrix operations
- Inverse of matrix
- The determinants and its properties
- Solution of system of linear equations by determinants: Cramer’s rule, Inverse Matrices Method
- Mathematics of Finance: Simple interest
- Compound interest
- Annuities
- Sets and Sets Operations
- Permutation and combinations
- Introduction to mathematical induction and binomial theorem
- Basic Concepts of Trigonometry
- Fundamental Identities of Trigonometry

**Recommended Book(s):**

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

**Suggested Book(s):**

*Kaufmann, J. E. (1994). College algebra and trigonometry (3 th ed.). Boston: PWS-Kent Pub. Co.**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

**Academic Calender:**

- Commencement of Classes October 26, 2020
- Mid Term Examination January 11-14, 2021
- Final Term Examination March 01-05, 2021
- Declaration of Result March 12, 2021