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Linear Algebra

This document provides information about the MAT 210 Introduction to Linear Algebra unit offered in the BES Year 1 program from January to April 2020. The purpose of the course is to introduce students to fundamental algebraic structures and number systems. By the end of the course students should be able to work with matrices, determinants, systems of linear equations, vectors, vector spaces, and linear mappings. The course will be taught through lectures and class discussions. Students will complete two assignments, two CATs, and a final exam as assessment. Reference materials include textbooks on computational linear algebra and elements of mathematical economics.

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28 views2 pages

Linear Algebra

This document provides information about the MAT 210 Introduction to Linear Algebra unit offered in the BES Year 1 program from January to April 2020. The purpose of the course is to introduce students to fundamental algebraic structures and number systems. By the end of the course students should be able to work with matrices, determinants, systems of linear equations, vectors, vector spaces, and linear mappings. The course will be taught through lectures and class discussions. Students will complete two assignments, two CATs, and a final exam as assessment. Reference materials include textbooks on computational linear algebra and elements of mathematical economics.

Uploaded by

desderryokeyo
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
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F-7-16

Unit Code: MAT 210


Unit Title: INTRODUCTION TO LINEAR ALGEBRA
Program(s): BES YEAR 1 SEM 2 JAN-APRIL 2020
Lecturer Name: Mr. Macharia
Lecturer Contacts: samuelmacharia@zetech.ac.ke, 0723099255
Consultation time : TUESDAY 1100-1400hrs
UNIT DESCRIPTION
The purpose of this course is to introduce students to the fundamentals of algebraic structures by
studying the basic structure systems of integers and polynomials, and by constructing other related
number systems.
EXPECTED LEARNING OUTCOMES
At the end of this course, students should be able to:
1. Determine whether binary operations satisfy various properties (e.g. associativity,
distributivity, existence of identities and inverses).
2. Evaluate matrix Algebra.
3. Apply matrices to solve system of equations
COURSE SYLLABUS AND SCHEDULE
Week Topic Sub topic
1 MATRICES a) Introduction
b) Notation
c) arithmetic
2 INVERSE OF A MATRIX a) Determinants
b) Inverse
c) transpose
3 SYSTEM OF LINEAR a) Inverse(cofactor) method
EQUATIONS b) Crammers rule
4 SYSTEM OF LINEAR a) Row and reduced row echelon form
EQUATIONS b) Gaussian elimination method
5 VECTORS a)
c) Introduction
Gauss Jordan elimination method
Assignment 1 b) Dot and cross product
6 EQUATIONS OF A PLANE c)
a) Orthogonal
Equation of vectors
a plane
b) Distance from plane
7 CAT 1 Sitting CAT
8 VECTOR SPACES a) Linear combination of vectors
b) Spanning sets

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9 LINEAR INDEPENDENCE a) Linear dependence and independence
ASSIGNMENT 2 b) Bases and dimension
10 RANK THEOREM a) Nullity of a matrix
c) Rank of a matrix
11 LINEAR MAPPINGS a) Definition
b) Linear mappings
12 CAT 2
13-14 EXAMINATION

TEACHING/LEARNING METHODOLOGY
1. Lectures
2. Class discussion and presentations

INSTRUCTIONAL MATERIALS
1. Whiteboard
2. Textbooks

ASSESSMENT CRITERIA
The student must have attended more than 70% of the total classes

Assessment Type Frequency Percentage


Assignment 2 10%
CATs 2 20%
Final Examination 1 70%
Total 100%

REFERENCE TEXTBOOKS
1. Faddeev, D. K., & Faddeeva, V. N. (2007). Computational methods of linear algebra.
2. Mukras M. S. (2004). Elements of Mathematical Economics, Kenya Literature Bureau,
3. Wilkinson, J. H., Bauer, F. L., & Reinsch, C. (2013). Linear algebra (Vol. 2).Springer.

Course Journals
1. Journal of Computational and Applied Mathematics (JCAM)
2. Applied Numerical Mathematics (APNUM)
3. Linear Algebra and its Applications (LAA)

Reference journals
1. SIGMA. Symmetry, Algebra and Geometry, Methods and Applications, National Academy of
Sciences of Ukraine, ISSN: 1815 0659
2. International Journal of Algebra, Serials Publications, ISSN: 0973 3884
3. Advances in Linear Algebra, International Press, ISSN: 1095-0761
Approval for circulation by:

Unit lecturer name: Samuel Macharia signature: …………………………… Date

HoD name: Linda Akinyi signature: …………………………… Date

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