Math 107 Matrices and Vectors

M-107   Vectors and Matrices (3+0) credit-hours.
Second Semester     1438 – 1439 H
Weekly Course Details
 

Calculus WEEK   6 Chapter 10: Vectors and the Geometry of Space 10.1 Vectors in the Plane 10.2 Vectors in Space 10.3 The Dot Product WEEK   7,8 10.4 The Cross Product 10.5 Lines and Planes in Space 10.6 Surfaces in Space WEEK   9 Chapter 11: Vector-Valued Functions 11.1 Vector-Valued Functions 11.2 Limits, Derivatives 11.3Velocity, Acceleration. WEEK   10 11.4 Curvature , Unit Tangent Vector, Principal Normal Vector 11.5 Tangential and Normal Components of Acceleration WEEK   11 Chapter 12: Functions of Several Variables and Differentiation 12.1 Functions of Several Variables 12.2 Limits and Continuity WEEK   12 12.3 Partial Derivatives WEEK   13 12.4 Tangent Planes and Linear Approximations, Increments and Differentials 12.5 The Chain Rule 12.6 The Gradient and Directional Derivatives WEEK   14 12.7 Extrema of Functions of Several Variables 12.8 Constrained Optimization and Lagrange Multipliers

 

Linear Algebra
 
WEEK 1
Chapter 1:   System of Linear Equations

1. System of linear equation
2. Methods for  solving system of linear equations
3. Gauss Elimination Method

WEEK   2

1. Gauss Jordon Method
2. Row Echlon form
3. Reduced Row Echlon form
4. Homogeneous system

WEEK   3
Chapter 2:   Matrices
2.1          Matrix and Algebra of Matrices
2.2          Scalar Multiplication
2.3          Matrix Multiplication
2.4          Inverse of 2x2 matrix
2.5          Power of Matrix
2.6          Elementary Matrix
2.7          Methods of finding inverse of matrix
2.8          Solving Linear system by Inverse Matrix
WEEK   4
Chapter 3:  Determinant
3.1          Determinant
3.2          By Direct Multiplication
3.3          By cofactor
3.4          By row operation
WEEK   5

3.5            Properties of Determinantial function
3.6            Minor and cofactors, Inverse by cofactors
3.7            Crammer’ Rule

Midterm Examinations:  
Midterm Exam I:  Date:  29/06/1439   Saturday   12:30 to 02:00  Material covered in first 7 week
Midterm Exam II: Date:  28/07/1439   Saturday   12:30 to 02:00  Material covered in 8th to 14th week

• Final Exam : 24.08.1439 (08.04.2018)        Thursday 8:00 to 11:00 am

Useful on line material:

1. https://www.khanacademy.org/math/
2. mathworld.wolfram.com › ... › Linear Algebra › General Linear Algebra
3. www.sosmath.com/matrix/matrix.html
4. http://www2.warwick.ac.uk/fac/sci/maths/undergrad/ughandbook/content/ma106/elementary_linear_algebra_10th_edition.pdf (Linear Algebra by H. Anton (Soft copy))
5. https://ocw.mit.edu/courses/mathematics/18-022-calculus-of-several-variables-fall-2010/lecture-notes/