### Mathematics

OBJECTIVES

• It enables the students to make effective use of techniques in mathematical modeling and applied problem-solving.
• To develop their understandings of applications of mathematics in computer studies and research.
• To demonstrate confidence, desire, and an ability to solve a variety of mathematically related problems.

Mathematics II Algebra and Trigonometry. (2006). Lahore: Punjab Textbook Board.

CONTENTS

Matrix: Introduction of Matrices, Determinants, Adjoin and inverse of 2*2 and 3*3 Matrices, Simultaneous Equations.

Quadratic Equation: Introduction to Quadratic Equation, Equation reducible to the quadratic form. Synthetic Division, Introduction, Remainder Theorem, Factor Theorem.

Sequences and Series: Introduction, Types of Sequences; A.P, A.M., G.P., H.P., Infinite Geometric Series, Binomial Theorem; Binomial Series and its Application.

Trigonometry: Units of Measures of Angles, Formula (l = rθ) Formula Law (without proof), Deduction from Fundamental Law (only Formula), Sign of Trigonometric Functions, Values of Trigonometric Functions, Solutions of Triangles Area of Triangles.

COURSE SCHEDULE

Week

## Dates

1.

Introduction of Matrices, Determinants

Oct 12-16, 2020

2.

Adjoin and inverse of 2*2 and 3*3 Matrices, Simultaneous Equations.

Oct 19-23, 2020

3.

Oct 26-30, 2020

4

Synthetic Division, Introduction

Nov 2-6, 2020

5.

Remainder Theorem, Factor Theorem

Nov 9-13, 2020

6

Sequences and Series, Introduction

Nov 16-20, 2020

7.

A.P, A.M

Nov 23-27, 2020

8.

G.P., H.P

Nov 30-Dec 4, 2020

9.

Infinite Geometric Series

Dec 7-11, 2020

10.

Mid Term Exam

Dec 14-18, 2020

11.

Binomial Theorem

Dec 21-25, 2020

12.

Binomial Series and its Application

Dec 28-, 2020– Jan 1,2021

13.

Units of Measures of Angles

Jan 4-8 , 2021

14.

Formula (l = rθ) Formula Law

Jan 11-15, 2021

15.

Deduction from Fundamental Law (only Formula),

Jan 18-22. 2021

16.

Sign of Trigonometric Functions, Values of Trigonometric Functions

Jan 25-29, 2021

17.

Solutions of Triangles Area of Triangles.

Feb 1-5, 2021

18.

Final term Exam

Feb 8-12, 2021

ASSESSMENT CRITERIA

Mid exam:       30

Sessional:        20

Final exam:      50

Total:               100