201 phys
201 phys
Mathematical Physics I (E)
|
Credit hours |
3 |
|
Level |
3rd |
|
Pre-requisites |
Math 150 |
|
Credit distribution |
3(2+1+0) |
Course Description:
- System of Linear Equations: Methods of solving Systems of Linear equations (Elimination
methods, Gauss- Jordan …).
- Matrices: (Definitions, Operations on Matrices, Transpose Matrix, the trace…).
The inverse,Elementary row operation method, the determinant, Cramer's rule.
- Vector spaces: Two and Three dimensional vector spaces, Distance in two and Three dimensional spaces. Norms, Dot product, projection, cross product, N-dimensional (linear) spaces: Euclidean spaces, Inner product spaces, Linear Transformations, Eigen values and Eigenvectors problems.
Course Objectives.
Upon successful completion of MATH 150, the student will be able to:
-Identify a system of linear equations (or linear system) and describe its solution set- Write down the coefficient matrix and augmented matrix of a linear system- experience on vectors in two-dimensional space and three-dimensional space- Compute the dot product of vectors, lengths of vectors, angles between vectors and the cross product of vectors
Course outcomes:
The Main ILOs are: 1- basis of vectors and linear equations.
2- Generic skills such as communication, problem solving
Text book:
H.Anton, Elementary Linear Algebra, 9 th edition, Wiley.(2006)
S.Grossman, Elementary Linear Algebra, 6th edition. Wadsworth.(2006)
Exercises chapter 1
Exercise set 1.1
1, 3(a,b), 4,5.
Exercise set 1.2
1,2,3,4(a,b),5(a), 6(a), 7(b),10(b),12,13(a,b).
14(a,b),17.
Exercise set 1.3
1,2,3(a,b,c),4(d,e,f),5(a,b,i,k),7(a,c,e),8(a),12(a),13(a).
Exercise set 1.4
1(c) , 2(c) ,3(b) , 4(a,c) , 7(b) , 9(b).
Exercise set 1.5
1,2(d) , 3(a) , 5(b,c) , 7(e) , 8(c), 10.
Exercise set 1.6
3 ,5 ,9(a) ,15 ,17 ,21.
Exercise set 1.7
1, 2(a) ,3(a) ,4 ,5 ,7 ,8 ,10(b)
Exercise set 1.8 (11th Edition)
1,5,6,7,8.
Exercises chapter 2
Exercise set 2.1
1,3(c),4,5,17.
Exercise set 2.2
1(a), 2(a,c,d), 3,7,12.
Exercise set 2.3
1(a), 3,4,5,12(a).
15(b)
Exercise set 2.4
9,10,13(a), 17
Chapter 3
Exercise set 3.1
2(a,g,h), 3(a,c,e,f), 5,6(a,e), 8,11(a), 12(a,b).
Exercise set 3.2
1(a,e), 2(a,c), 3(a,c).
Exercise set 3.3
1(a,c), 2(a,c), 3(a,b,c), 4(a,c), 5(a,c), 10, 16(a,b,c), 17(a).
Exercise set 3.4
1(a,b,e), 2(a), 3(a), 4(a), 7, 9, 10(a), 11(a).
Exercise set 3.5
1(a,b), 2(a,b), 3, 4(a), 5(a), 7(a), 9(a), 10(a), 11(a), 39(a), 40(a).
Chapter 5
Exercise set 5.1
2, 5, 8.
Exercise set 5.2
1(a,b,d), 6(a,b), 7(a), 10(a), 12(a,c,e).
Exercise set 5.3
1, 2(a), 3(a), 4(a), 5(a).
Exercise set 5.4
1,2(a,b) ,3(a,c), 5, 7(a,b), 15.
Exercise set 5.5
1, 3(b,c), 6(a,c),7.
2(b), 5(b), 8(a,b) ,9(a,b), 10(a,b) ,11(a), 12(a).
Exercise set 5.6
2(a,d), 3(a,d), 4,5,7,8.
Chapter 6
Exercise set 6.3
17 (a)
Chapter 7
Exercise set 7.1
1(a), 3(a), 9(a) ,10, 11.
Exercise set 7.2
5, 13, 21
Chapter 8.
Exercise set 8.1
1, 13.
Exercise set 8.2
1,2,7(a), 8(a) , 9(a), 10.