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