Topic outline

• Introduction
  

  Introduction

  
  

  • Announcements Forum
  • Teacher Information

    Name : Mousumi Mitra Designation: Lecturer(Mathematics) Department: GED Contact : 01746492066 Mail: mousumi.ged0197.c@diu.edu.bd

    
    

    
    

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    Course Synopsis

    The Mathematics II course contents three sections: Complex variable, Co-Ordinate Geometry, and Linear Algebra. Introduction to A complex variable gives advanced students an introduction to the theory of functions of a complex variable, a fundamental area of mathematics. Co- Ordinate geometry section includes change of axes in different dimension and different co-ordinate system. Linear algebra section covers matrix theory and linear algebra, emphasizing topics useful in other disciplines.

    
    

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    Course Objectives

    It is offered as the most important mathematical course throughout all universities of the world.  It helps them to become expert at Wet-Processing Weaving manufacturing Fashion designing Technical textiles Lao traditional textiles computer graphics and many other discourses.

    
    
    

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    Course Outcome

    After completing  the course ,the students will be able to define the relation between complex-functions & real functions. write different types of matrices and differentiate between matrix and determinant. find a solution set of a system of linear equations. write a set of vectors as linear independence or linear dependence. find linear transformation operator for matrices. find eigen value and eigen vector. find a relation between different coordinate system

    
    

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    Assesment Plan

    
    
    

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    Syllubus

    Complex Variables: Complex numbers & functions, Complex differentiation Linear Algebra: Matrix, System of Linear equation, Eigenvalue & Eigenvector Coordinate Geometry: Change of axes; Pair of Straight line & 2nd Degree General Equation; Shortest Distance; Coordinates of a point in space in different systems; Plane.

    
    
    

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    Prerequisite

    Basic Mathematics

    
    
    

  • Course Delivary plan

    click here to get course delivary plan for whole semister
    

    
    

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    Text Book

    Complex Variable:  Complex Variable, Schaum’s Outline Series
    Coordinate Geometry: Geometry, Schaum's Outline
    Linear Algebra: Linear Algebra, A first course, 4th edition, Mohammad Salek Parvez
    Elementary Linear Algebra, Anton

    
    
    

  • Announcements Forum
  • Google Classroom Code:

• Week: 01
  

  Week: 01

  • Complex Number

     Objectives  :

    1. To write a c-number in 5 different form
    2. To convert a c-number from one form to another
    3. To define the relationship between c-functions & real functions.
    4. to find modulus and argument

     Lecture Contents 

    1.Lesson contents  (complex number, pdf) Complex number(Part one)

    2. Additional Materials for better understand

    3 .Worksheet on complex number

  • Discussion or knowledge sharing on Complex numbers Forum
• Week:02
  

  Week:02

  • Matrix Algebra

    Objectives:

    1. To know about how to make a matrix
    2. To become familiar  with types of a matrices
    3. To identify different types of matrices
    4. To demarcate a matrix from a determinant

    Lesson Contents

    Matrix Algebra (Lecture Note)

    Additional Materials for better understand

    
    

    
    

• Week: 03
  

  Week: 03

  • Matrix Operations

    Objects:

    1. To know about scaler multiplication
    2. To compute the trace of matrices
    3. to add/subtract matrices
    4. To split a matrix into 2 parts: symmetric matrix & skew-symmetric
       

    Lesson Plan

    1. Lecture Note ( matrix algebra,pdf)
    2.  Refference Note 

    
    

    
    

    
    

  • Discussion and knowledge sharing on Matrix Forum
  • video on matrix operations Page
• Week: 04
  

  Week: 04

  • Matrix Operation

    Objects:

    1. To understand the meaning of inverse matrices
    2. To calculate inverse matrix order 2x2
    3. To find the inverse matrix order 3x3  and higher
    4. To  understand special properties of inverse matrices 

    Lesson Contents

    1. Matrix Algebra (Lecture Note)

    2.Additional Materials for better understand

    3. problem soving

    
    

• Week: 05
  

  Week: 05

  • System of Linear Equations

    Objectives:  

    1. To pick out pivots in a matrix
    2. To define & construct EMs
    3. To define RREMs
    4. To operate EOs in a matrix
    5. To construct equivalent matrices

    Lesson Contents

    Linear Algebra (Lecture Note) see the System of Linear Equation part

    Additional Materials for better understand

    
    

    
    

    
    

  • Discussion or Knowledge sharing Forum
• Week: 06
  

  Week: 06

  • System of Linear Equations

    Objectives:

    1. To signify the rank of  a matrix
    2. To convert a matrix into its RREF 
    3. To  convert a matrix into its NF 
    4. To operate EOs in a matrix

    Lesson Plan:

    1. Lecture Note
    2. Reference Note
    3. Problem Solving

  • how to solve a system of linear equation Page
• Week: 07
  

  Week: 07

  • Eigenvalue & Eigenvector

    Objects:

    1. to become familier with eigenvalue and eigenvectors of a matrix
    2.  to compute and use eigenvalue and eigenvectors
    3. apply Clay-Hamilton theorem to find eigenvalue 

    Lessons Contents:

    1.  Lecture Note : Eigenvalue & Clay-Hamilton Theorem
    2. Group-discussion
    3. Problem solving

    
    

  • How to find Eigenvalues of a Matrix Page
  • Quiz 2
• Week: 08
  

  Week: 08

  • Midterm Examination

    
    

    
    

• Week: 09
  

  Week: 09

  • Introduction of Coordinate Geometry

    Objectives:

    1. to get idea about Coordinate geometry
    2. able to understand about coordinate system
    3. to convert the one coordinate to another
    4. to find out distance between two points

    Lesson Plan:

    1. lecture note
    2. Group disscussion
    3. Problem solving

    
    

    
    

  • Lecture Note( Chapter 5) File
• Week :10
  

  Week :10

  • Change of Axes

    Objectives:

    1. to get the idea about dimension
    2.  able to transform axis to another
    3. to rotate one axis to obtain new axis through same origin

    Lesson Plan:

    1. Lecture Note
    2. Problem solving

    
    

  • Lecture Note(Chapter 6) File
  • What is Transformation of Axes Page
• Week 11
  

  Week 11

  
  

  • Equation & its Geometry

    Objectives:

    1. to identify equations and its general form
    2. to plot point on the plan
    3.  find the angel between two straight lines
    4. to draw the geometrical figure through their equations 

    Lesson Plan:

    1. Lecture Note
    2. Group Discussion
    3. Problem solving
    4. Home work

    
    

  • Lecture Note(Chapter 7) File
  • Quiz 3
  • Presentation Assignment