Mathematics II ( Linear Algebra and Coordinate Geometry) (Summer 20)

Section outline

• Select section Introduction

  Introduction

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  • Select activity Announcements

    

    Announcements Forum
  • Select activity Teacher InformationName : Mousumi MitraDesignation...

    Teacher Information

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

    
    

    
    

  • Select activity Course Synopsis ...

    
    

    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.

    
    

  • Select activity Course Objectives ...

    
    

    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.

    
    
    

  • Select activity Course Outcome ...

    
    

    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

    
    

  • Select activity Assesment Plan ...

    
    

    Assesment Plan

    
    
    

  • Select activity Syllubus ...

    
    

    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.

    
    
    

  • Select activity Prerequisite ...

    
    

    Prerequisite

    Basic Mathematics

    
    
    

  • Select activity Course Delivary plan click here to get course del...

    Course Delivary plan

    click here to get course delivary plan for whole semister
    

    
    

  • Select activity Text Book ...

    
    

    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

    
    
    

  • Select activity Announcements

    

    Announcements Forum
  • Select activity Google Classroom Code:

    Google Classroom Code:

• Select section Week: 01

  Week: 01

  • Select activity Complex Number Objectives  :To write a c...

    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

  • Select activity Discussion or knowledge sharing on Complex numbers

    

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

  Week:02

  • Select activity Matrix AlgebraObjectives:To know about how to make...

    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

    
    

    
    

• Select section Week: 03

  Week: 03

  • Select activity Matrix OperationsObjects:To know about scaler mult...

    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 

    
    

    
    

    
    

  • Select activity Discussion and knowledge sharing on Matrix

    

    Discussion and knowledge sharing on Matrix Forum
  • Select activity video on matrix operations

    

    video on matrix operations Page
• Select section Week: 04

  Week: 04

  • Select activity Matrix OperationObjects:To understand the meaning ...

    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

    
    

• Select section Week: 05

  Week: 05

  • Select activity System of Linear EquationsObjectives:  T...

    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

    
    

    
    

    
    

  • Select activity Discussion or Knowledge sharing

    

    Discussion or Knowledge sharing Forum
• Select section Week: 06

  Week: 06

  • Select activity System of Linear EquationsObjectives:To signify th...

    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

  • Select activity how to solve a system of linear equation

    

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

  Week: 07

  • Select activity Eigenvalue & EigenvectorObjects:to become fami...

    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

    
    

  • Select activity How to find Eigenvalues of a Matrix

    

    How to find Eigenvalues of a Matrix Page
  • Select activity Quiz 2

    

    Quiz 2
• Select section Week: 08

  Week: 08

  • Select activity Midterm Examination

    Midterm Examination

    
    

    
    

• Select section Week: 09

  Week: 09

  • Select activity Introduction of Coordinate GeometryObjectives:to g...

    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

    
    

    
    

  • Select activity Lecture Note( Chapter 5)

    

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

  Week :10

  • Select activity Change of AxesObjectives:to get the idea about dim...

    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

    
    

  • Select activity Lecture Note(Chapter 6)

    

    Lecture Note(Chapter 6) File
  • Select activity What is Transformation of Axes

    

    What is Transformation of Axes Page
• Select section Week 11

  Week 11

  
  

  • Select activity Equation & its GeometryObjectives:to identify ...

    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

    
    

  • Select activity Lecture Note(Chapter 7)

    

    Lecture Note(Chapter 7) File
  • Select activity Quiz 3

    

    Quiz 3
  • Select activity Presentation

    

    Presentation Assignment