Topic outline

  • Course Syllabus


    • Teacher Introduction with Contact Details

      Md. Jashim Uddin (MJU), PhD
      Associate Professor, GED, FSIT, DIU
      Additional Director, IQAC, DIU
      Counseling Time: Anytime
      Office: 401, Administrative Building, Dhanmondi Campus, DIU 
      Cell: +88 01772532809
      jashim@daffodilvarsity.edu.bd
      jashim.ged@diu.edu.bd
      https://scholar.google.com/citations?user=dEo3pnwAAAAJ&hl=en&authuser=1


      •  


      Click here for more information



        • Name:  Md. Mehedi Hasan
        • Designation:  Senior Lecturer in Mathematics.         
        • Department:   GED
        • Desk:   1207, AB4, DSC, DIU.
        • Contact Number:   01737757274
        • Mail:   mehedi.ged@diu.edu.bd

      		 

      For more information click here ....


        • All the students registered for this course have to enroll in BLC.
        • Students can find all the course materials from BLC.
        • All the students have to submit the soft copy of their "Assignment" in BLC under the assignment section created here and for this, they will be graded here.
        • One discussion or feedback forum is created under each of the lecture students have to give their feedback on this forum and marks will be given for their feedback.
        • Any announcement regarding the class will be posted on BLC. So they have to keep themselves always active on BLC.
        • All the quizzes and presentations will be held on the face to face class and maybe a few of the class will be held on online (BLC) and it will be announced before the class.
        • The question pattern and the syllabus for the quizzes, midterm, and final exam are given hereunder each of the sections (quizzes, midterm, and final).
        • There are midterm and final exam preparation forums under these sections where students can discuss with each other about their midterm and final exam syllabus, any problem regarding the exam, etc.


    • The Mathematics II course contents three sections: Complex variable, Linear Algebra, and Matrices. Introduction to A complex variable gives advanced students an introduction to the theory of functions of a complex variable, a fundamental area of mathematics. Topics include complex numbers and their properties. The linear algebra and matrices section covers matrix theory and linear algebra, emphasizing topics useful in other disciplines. Linear algebra is a branch of mathematics that studies systems of linear equations and the properties of matrices. The concepts of linear algebra are extremely useful in physics, economics and social sciences, natural sciences, and engineering. Due to its broad range of applications, linear algebra is one of the most widely taught subjects in undergraduate-level mathematics.


    • Objectives of the Course:

      • Students Will Be Able To Apply The Concepts And Methods Described In The Syllabus
      • They Will Be Able To Solve Problems Using Linear Algebra, And Complex variable.
      • They Will Know A Number Of Applications.
      • The Text And Class Discussion Will Introduce The Concepts, Methods, Applications, And Logical Arguments;
      • Students Will Practice Them And Solve Problems On Daily Assignments, And They Will Be Tested On Quizzes And The Final.

      Outcomes of the Course:

      After The Successful Completion of In this Course, Students Will Be Able To

      • Solve Systems of Linear Equations.
      • Demonstrate Comprehension of Operations On Matrices And Vector Spaces And Linear Transformations.
      • Construct Curves And Surfaces Passing Through Specified Points
      • Use Linear Algebra In Traffic Flow, Electrical Circuits, Graph Theory, And Cryptography.
      • Find Distance Between Two Points And The Equation of Line And Plane
      • Know About Changes of Axes, Direction Ration And Direction Cosine And Their Uses.
      • Know About Equation of Plane And Lines And The Distance Between Them.


    • Methods to assess a Student’s performance in this course will consist of the following steps.
      Assessment Methods Weighting Description of Assessment Tasks
      Class Attendance 7% Discussions ( in-class & online ) will ensure, encourage & reward students’ activeness in learning and engagement with others.
      Quiz: (1st +2 nd +3rd )/3 15%

      Quizzes will  consolidate      

      • their learning;
      • test their basic concepts;
      • reward students’ ability to solve problems
      Presentations 8%

      Verbal Presentation by individual students  will:

      • test the students’ ability to present what they understand throughout the course;
      • find out their lacks in expressing a known thing; make them accustomed to facing an audience; 
      • give them excellent preparation and skills for future professional meetings/conferences.
      Assignments 5%

      Assignments will: 

      • enhance students’ ability to solve problems without the teacher’s help; 
      • help students’ group study or interaction with other students.
      Midterm Examination 25% The midterm examination will justify students’ progress of subject-based knowledge.
      Final Examination 40% The final examination will test the students’ overall performance throughout the course. 
      Total 100% Students' successfully complete the course


    • Coordinate Geometry: Change of axes; Direction Cosines and projections; Pair of Straight line & 2 Degree General Equation; Shortest Distance; Coordinates of a point in space in different systems; Plane; Quadratics.

      Linear Algebra: Determinants: Evaluation, Cramer’s Rule. Matrix: operations, different types, Echelon form – elementary row operations, Rank. Linear equation: systems, solution, Gaussian elimination. Vector space: vectors, linear dependency, bases, Euclidian space, inner product, and inner product space, Gram-Schmidt Orthogonalization. Linear transformations: basic concepts, linear operators. Eigenvalue and Eigenvectors: diagonalization, Cayley-Hamilton theorem; Quadratic forms and Hermitian forms. 

      Matrices: Matrix Operations, The Inverse of a Matrix, Characterizations of Invertible Matrices, Linear Subspaces, Dimension and Rank


    • Subject

      Text Book

      Reference Book
      Complex Variables

      Complex Variables By Spiegel

      1. Complex analysis with appli. By Zill
      2. Complex Variables By Shahidullah
      Linear Algebra

      Linear Algebra By Seymour Lipschutz

      1. Applied Linear Algebra By C. D Meyer
      2. Linear Algebra By  M. Salek Parvez

    • Reference Books

      1.  Schaum's Outline Series Linear Algebra By Seymour Lipschutz                                
      2.  Coordinate Geometry By Bernett Rich
       1. Click Here       
      2. Click Here
       3.  Matrix Analysis and Applied Linear Algebra By C. D. Mayer                                     
       4.  Coordinate Geometry
      3. Click Here         
      4. Click Here



    		•  Phone call flat icon symbol Royalty Free Vector Image
         Click Here   

       +880 1737757274 

         +880 1737757274   


    • There are lots of work you can do in the BLC platform but if you don't know how to perfectly use this platform it is difficult to operate it. For your convenience to operate BLC here I prepared a tutorial on usage guidelines. I think this helps you to operate BLC more comfortably.

      Complete Guideline Especially on Exam


    • Dear Students,

      Here you can see your online class schedule as your routine and if you want to join my online class just click on (Click Here, Meet Link) your assigned section. Also, you can provide your attendance from the attendance section and if you want to fix a time for your counselling with me you can also do it from here. 

      Supportive Tools of Online Class

       Section  

      Class Schedule

         Meet Link   

      DAY-A

        Saturday (8.30) + Modday (8.30)  

      Click Here

      By clicking it, you can fix your counseling time with me.


    •
      Chapter

      Name of the Chapter

      Lecture Note

      PowerPoint 
      01

      Matrix and Determinant

      Click Here
      Click Here
      02

      Elementary Transformation

      Click Here
      Click Here
      03

      The solution of System of Linear Equation (SLE)
      Click Here
      Click Here
       04

      Linear Combination

      Click Here
      Click Here
      05

      Linear Transformation 

      Click Here
      Click Here
      06

      Eigen Values of Matrix 

      Click Here
      Click Here
      07

      Coordinate Geometry

      Click Here
      Click Here

       *********** Chapter Wise Problem List ***********

    • Dear Students, You can find your Lecture Notes. Please download each file and practice as much as possible.

    • All Class Lecture Videos URL

      Please see your Lectures in the link, Find your course class lectures, and review them as necessary

    •   Section   

        Lecture 8  

      		   Lecture 9  

      CE-A

       Click Here 

      (27.10.21)

      Class Note

      Click Here 

      (28.10.21)

      Class Note

  • Week 1_Class 1


    •  

      At the very beginning of each semester, it needs to introduce myself to the students. It's also important to get a clear understanding of the students' abilities, performance, strengths, and weaknesses at the very beginning of the semester. As a result, it's easy to reach the students. So a nice introductory class help to buildup connection between students and teacher which make easier to continue the whole course.

      When the students are starting a new course, they have some common questions like that,

              a) Why they read this course?
              b) Have any real-life application of this course?

      I think these are very important questions and we must do fulfill their demand.
      Hence, in my introductory class, I always try to buildup a clear understanding among the students and try to reach their emotion, their feelings, their strengths, and weaknesses. Clearly I try to show the necessity of this course and real-life application of this course.

      So, I think at the very beginning of the semester, a good introductory class helps to make my course easier than the other classes.

      • Introduce myself among the students
      • Try to understand the expectation of the students from the teacher and also from the course
      • Deliver the real-life outcomes of this course
      • Show the detail course plan

      Taking class using the PPT slide and arrange a Question & Answer forum about the understanding and the opinion regarding this course.

      • Able to know the overview of this course
      • Application of this course in real life
      • Course activity

      PowerPoint Slide of Introductory Class.

    •   Section   

      Lecture 1

      CE-A

       Click Here 

      (17.09.21)

  • Chapter 1_Week 1 to 2_Class 2-4




    		•
      A matrix is simply a set of numbers arranged in a rectangular table. We can add, subtract, and multiply matrices together, under certain conditions. We use matrices to solve simultaneous equations, that we met earlier. Matrices are used to solve problems in electronics, statics, robotics, linear programming, optimization, intersections of planes, genetics, and so on. For large systems of equations, we use a computer to find the solution. This chapter first shows you the basics of matrix arithmetic.

      • To introduce matrix and determinant and also the basics on the matrix and determinant.
      • Classification of matrix
      • To know about basics conditions of addition, subtraction, and multiplication of matrices
      • To learn computing addition, subtraction, and multiplication
      • To introduce the inverse matrix
      • To learn about singular and nonsingular matrices, adjoin matrix, and transpose a matrix.

      Taking class using the PPT slide and provide the PDF file of this lecture. Also, provide the relevant video tutorial on this topic. Try to engage the students to give some tasks in a group or individual. At the end of the class must have a question & answer session.

      • To  learn about the basics of matrix and determinant
      • Will be able to find the dimension of a matrix
      • To learn about various types of matrices.
      • To  classify matrices
      • To  be able to operate addition, subtraction, and multiplication
      • To be able to identify singular and nonsingular matrices
      • Able to find the inverse of a matrix.
      • To find the transpose and adjoin matrices.

      Questioning-answering, the group or individual classwork, assigning home tasks related to class content. 


    •   Section   

        Lecture 2  

      		   Lecture 3  

        Lecture 4   

        Lecture 5  

      CE-A

       Click Here 

      (19.09.21)

      Class Note

      Click Here 

      (25.09.21)

      Class Note

      Click Here 

      (27.09.21)

      Class Note

      		 Click Here 
      (04.10.21)

      Class Note

    • Question & Answer Forum

      Dear Students, 

      In this section, you can share your opinion or problem with this topic. Also, for how much you have learned about this topic, I will provide some questions and you will give your feedback.

    • ************** Test Your Learning ***************

      Dear Students, From here you can test your learning regarding this chapter.

      1. Click it and test your skills on this topic (Link 1)

  • Chapter 2_Week 1 to 2_Class 2-4




    		•

      When you work with objects in a PDF file using the PDFium library, you can use the Set Matrix functions to transform the object (usually an image, but also any other embedded object) in a variety of ways. Using the transformation matrix you can rotate, translate (move), scale or shear the image. An example of using the matrix to scale an image to the size of the page in a PDF document can be found here.

      • Introduce different types of transformation of the matrix.
      • To get introduced to Rank Matrix
      • To be able to know Rank Matrix, Row Reduced Echelon with example
      • To solve a mathematical problem using properties of Rank Matrix

      Taking class using the PPT slide and provide the PDF file of this lecture. Also, provide the relevant video tutorial on this topic. Try to engage the students to give some tasks in a group or individual. At the end of the class must have a question & answer session.

      • To get introduced with Linear Transformation Matrix.
      • To be able to know different properties of Linear Transformation Matrix with example.
      • To be able to find the Rank of the matrix.
      • To solve a mathematical problem using  properties of Linear Transformation Matrix 

      Questioning-answering, the group or individual classwork, assigning home tasks related to class content. 


    •   Section   

        Lecture 6  

      		   Lecture 7  

      CE-A

       Click Here 

      (09.10.21)

      Class Note

      Click Here 

      (11.10.21)

      Class Note

    • Question & Answer Forum

      Dear Students, 

      In this section, you can share your opinion or problem with this topic. Also, for how much you have learned about this topic, I will provide some questions and you will give your feedback.

    • ************** Test Your Learning ***************

      Dear Students, From here you can test your learning regarding this chapter.

      1. Click it and test your skills on this topic (Link 1)

  • Chapter 3




    		•

      The study of systems of linear equations and their solutions is one of the major topics in linear algebra. In the course of linear algebra, you knew how to solve the system of linear equations and various terms and conditions for solving the system of linear equations. Linear systems, with thousands or even millions of unknowns, occur in engineering, economic analysis, magnetic imaging, traffic flow analysis, weather prediction, and the formulation of business decisions and strategies. How can we make a code for solving the system of linear equations, this chapter helps you in this area.

      • Linear Equation, Non-linear Equation, System of Linear Equations, and Related formula.
      • Factorization methods.
      • Gauss-Seidel and Gauss Jacobi methods.

      Taking class using the PPT slide and provide the PDF file of this lecture. Also, provide the relevant video tutorial on this topic. Try to engage the students to give some tasks in a group or individual. At the end of the class must have a question & answer session.

      1. Know about the Linear Equation, Non-linear Equation, System of Linear Equations, and Related formula.
      2. To learn, how to solve the system of linear equations by using the formula for numerical methods.
      3. To solve any problem by the method of Gauss-Seidel and Gauss Jacobi. 

      Questioning-answering, the group or individual classwork, assigning home tasks related to class content. 


    •   Section   

        Lecture 8  

      		   Lecture 9  

      CE-A

       Click Here 

      (27.10.21)

      Class Note

      Click Here 

      (28.10.21)

      Class Note

    • Question & Answer Forum

      Dear Students, 

      In this section, you can share your opinion or problem with this topic. Also, for how much you have learned about this topic, I will provide some questions and you will give your feedback.

    • ************** Test Your Learning ***************

      Dear Students, From here you can test your learning regarding this chapter.

      1. Click it and test your skills on this topic (Link 1)

  • Class 9



    		•
      Let A be an n×n matrix. A scalar λ is called an eigenvalue of A if the equation Ax=λx has a nonzero solution x. Such a nonzero solution x is called an eigenvector corresponding to the eigenvalue λ.

      • To introduce eigenvalues and eigenvectors
      • To learn about their physical meaning
      • Compute eigenvalues and eigenvectors

      Taking class using the PPT slide and provide the PDF file of this lecture. Also, provide the relevant video tutorial on this topic. Try to engage the students to give some tasks in a group or individual. At the end of the class must have a question & answer session.

      • To evaluate eigenvalues
      • To compute eigenvectors
      • To diagonals a matrix
      • To give a physical interpretation to all these

      Questioning-answering, the group or individual classwork, assigning home tasks related to class content. 


    •   Section   

        Lecture 10 & 11  

      CE-A

       Click Here 

      (8.11.21)

      Class Note

    • Question & Answer Forum
      View

      Dear Students, 

      In this section, you can share your opinion or problem with this topic. Also, for how much you have learned about this topic, I will provide some questions and you will give your feedback.

    • Select the write answer Interactive Content
      Complete the activity

      Learn with Fun

  • Week 6 to 7 (Lecture 11-14)



    		•
      Vector space & Linear Combination of vectors, Introduction; Vectors’ Linear combination, dependence and independence.

      • To introduce vectors and scalars.
      • To learn about the physical meaning of vector space.
      • To learn about linear combinations, linear dependence and independence

      Taking class using the PPT slide and provide the PDF file of this lecture. Also, provide the relevant video tutorial on this topic. Try to engage the students to give some tasks in a group or individual. At the end of the class must have a question & answer session.

      • Students will be able to define vector space
      • Linear combinations, Linear dependence and linear independence

      Questioning-answering, the group or individual classwork, assigning home tasks related to class content. 


    •   Section   

        Lecture 12  

      CE-A

       Click Here 

      (11.11.21)

      Class Note

    •   Section   

        Lecture 12  

      CE-A

       Click Here 

      (11.11.21)

      Class Note

    • ************** Test Your Learning ***************

      Dear Students, From here you can test your learning regarding this chapter.

      1. Click it and test your skills on this topic (Link 1)

  • Week 9 (Lecture 15-16)



    		•
      In linear algebra, a transformation between two vector spaces is a rule that assigns a vector in one space to a vector in the other space. Linear transformations are transformations that satisfy a particular property around addition and scalar multiplication.

      • To introduce linear transformation (LT)
      • To learn about the physical meaning of linear transformation and applications of LTs
      • To formulate LTs and Inverse LTs

      Taking class using the PPT slide and provide the PDF file of this lecture. Also, provide the relevant video tutorial on this topic. Try to engage the students to give some tasks in a group or individual. At the end of the class must have a question & answer session.

      • To be able to identify LTs
      • To formulate LT  from matrices
      • To composite  LTs
      • To find inverse LT

      Questioning-answering, the group or individual classwork, assigning home tasks related to class content. 


    •   Section   

        Lecture 12  

      CE-A

       Click Here 

      (18.11.21)

      Class Note

    • Select the write answer Interactive Content
      Complete the activity

      Learn with fun.