Math 3300 Fall 2021

• Office Hour: T 10 - 11 am, 12:30 - 1:30 pm
  
  
• Email: jiuya.wang at uga dot edu
  
  
• Syllabus: Enrolled students should read carefully
  
  

Daily Update

• Week 1:
  
  • Aug 19: System of linear equations.
    
• Week 2:
  
  • Aug 24: Echelon form and row reduction.
    
  • Aug 26: Linear combinations of vectors.
    
  • HW (due Aug 31): 1.1: 2, 10, 21, 25, 27; 1.2: 2, 12, 20, 26; 1.3: 1, 5, 11, 26.
    
• Week 3:
  
  • Aug 31: Matrix Equation and Solution set of linear systems.
    
  • Sept 2: Application of linear systems.
    
  • HW (due Sept 7): 1.4: 2, 7, 10, 20, 32; 1.5: 1, 10, 18, 38; 1.6: 1, 9, 11.
    
• Week 4:
  
  • Sept 7: Linear dependency and linear transformations.
    
  • Sept 9: Matrix as linear transformation.
    
  • HW (due Sept 14): 1.7:2, 5, 9, 21, 22; 1.8: 2, 10, 19, 34 ; 1.9: 1, 2, 9, 18.
    
• Week 5:
  
  • Sept 14: Matrix multiplication and properties.
    
  • Sept 16: Matrix Inverse.
    
  • HW (due Sept 22): 2.1: 2, 11, 12, 17; 2.2: 1, 5, 10, 32.
    
• Week 6:
  
  • Sept 21: Midterm 1: 6 problems/100 pt (= 30 pt T/F + 70 others) /1h 15 min.
    
  • Sept 23: LU decomposition.
    
  • No HW.
    
• Week 7:
  
  • Sept 28: More LU decomposition and determinant.
    
  • Sept 30: Subspace.
    
  • HW (due Oct 5): 2.5: 5, 9, 19; 2.8: 7,8; 3.1: 19-24.
    
• Week 8:
  
  • Oct 5: More on determinant and minors.
    
  • Oct 7: Cramer's Rule.
    
  • HW (due Oct 12): 3.2:5, 6, 8, 42, 43; 3.3:1, 5, 18, 24,27.
    
• Week 9:
  
  • Oct 12: Vector space/subspace/span/kernel/range.
    
  • Oct 14: Basis/Rank/Coordinate.
    
  • HW (due Oct 19): 4.1: 2, 8, 12; 4.2: 4, 5, 15; 4.3: 15, 16; 4.4: 7, 8; 4.5: 5,6.
    
• Week 10:
  
  • Oct 19: Problem session.
    
  • Oct 21: Midterm 2: 5 problems/100 pt (All problems are on a written response bases, no T/F) /1h 15 min.
    
  • No HW.
    
• Week 11:
  
  • Oct 26: Review the exam.
    
  • Oct 28: Eigenvalue and eigen vector.
    
  • HW (due on Nov 2): 5.1: 3,4,5,6,7, 11,12,13,14,31; 5.2: 9, 10.
    
• Week 12:
  
  • Nov 2: Similar matrix and applications of eigenvalue/eigenvector.
    
  • Nov 4: Complex eigenvalue and differential equations.
    
  • HW (due on Nov 9): 5.3: 11, 12, 27; 5.4: 10, 11, 12; 5.6: 2, 15; 5.7: 1,2.
    
• Week 13:
  
  • Nov 9: Orthogonal matrix and Gram-Schmidt.
    
  • Nov 11: Least Square Solution and Symmetric matrix.
    
  • HW (due on Nov 16): 6.1: 1,3,5,7,15,16,17,18; 6.2: 7,9; 6.3: 5,6; 6.4: 3,4,9,11.
    
• Week 14:
  
  • Nov 16: Diagonalization of symmetric matrix and Quadratic Form.
    
  • Nov 18: Classification of quadratic form.
    
  • HW (due on Nov 30): 7.1: 13, 15, 17, 19, 21, 25, 26; 7.2: 3, 5, 9, 10, 15, 16.
    
• Week 15:
  
  • Nov 23: Singular Value Decomposition (not required for final exam).
    
  • Worksheet: on eLC.
    
• Week 16:
  
  • Nov 30: Review.
    
  • Dec 2: Problem session.
    
• Week 17:
  
  • Dec 7: Office Hour: 10:00- 12:00 pm, Boyd 404.
    
  • Dec 9: Final exam: 3 hour (12:00 pm -3:00 pm)/ Boyd 0323/ 20 pt T or F and 80 pt on a written response basis.