MATH 204: DIFFERENTIAL EQUATIONS, SPRING 2023
Problems from W.E. Boyce, R.C. Diprima, D.B. Meade :
Homework 1
Problems from W.E. Boyce, R.C. Diprima, D.B. Meade :
Homework 1
Homework 1
D. C. Lay, S. Lay, J.J. McDonald Linear Algebra and Its Applications
SIXTH EDITION
Week 1: Systems of Linear equations. Row reduction and Echelon Form. ( Section1.1, Section 1.2)
Week 2: Vector Equations. The Matrix equation Ax=b ( Section1.3, Section 1.4)
Week 3: Solution Sets of Linear Systems. Linear Independence. ( Section1.5, Section 1.7)
Week 4 : Introduction to Linear Transformations. The Matrix of Linear Transformation (Section1.8, Section 1.9)
Week 5 : Matrix operations. The Inverse of a Matrix (Section 2.1, Section 2.2)
Week 5 : Characterisation of Invertible Matrices. ( Section 2.2, Section 2.3)
Week : Vector Spaces and Subspaces. (Section 4.1)
Problems from Adams and Essex (10th Ed.) :
Week 1 :
Section 10.1, Page 574: 13, 18, 37;
Section 10.2, Page 583: 3, 13, 20, 23;
Section 10.3, Page 592: 4, 15, 17, 26;
Week 2 :
Problems from the textbook.\\
{\bf Section 10.4} Page 599: 4, 8, 10, 16, 19, 22, 26
{\bf Section 12.1} Page 653: 10, 21, 24, 26
Week 3 :
Problems from the textbook.
Section 13.1 Page 702, Problems : 4, 6, 15, 20
Section 13.2 Page 707, Problems 4, 7, 12, 14, 20
Week 4 :
Problems from the textbook.
Section 13.3, Page 714, Problems : 7, 17, 19, 20, 28, 30
Section 13.4, Page 720, Problems : 4, 11, 13, 15
Week 5 :
Problems from the textbook.
Section 13.5, Page 729, Problems : 2, 6, 11, 15, 19, 22
Section 13.6, Page 740, Problems : 2, 5, 21, 22
Section 13.7, Page 751, Problems : 5, 7, 12, 17, 19, 24, 31
Week 6:
Problems from the textbook.
Section 4.10 p. 283: Problems 3, 23, 34
Section 14.1 p. 777 : Problems 3, 4, 13, 22, 25
Section 14.2 p. 783: Problems 5, 9, 13