Homework, quizzes and exams

Homework

All homework is due at the start of class on Thursdays. No late homework will be accepted.

Week to hand in Problems to hand in
2

SJL Section 1.1: 1(a,b,d), 2(a,c), 3(a,b,d), 4(a,b,c), 5(a,b,c), 6(a,c,f), 7, 8.

SJL Section 1.2: 1, 2, 3, 5(a,c,e,f,h).

3

SJL Section 1.2: 6(a,d), 8, 11, 12.

SJL Section 1.3: 1, 2, 3, 4, 5(a,c), 8, 9, 10, 15 (28 in 7th edition).

4

8th edition: SJL Section 1.4: 1(a), 6, 7, 12, 24(a), 28, 30(a),

SJL Section 1.5: 1, 2, 8(a,d),15 10(a,f), 12 (a,d);

SJL Section 2.1: 1, 2.

7th edition: SJL Section 1.3: 20(a), 9, 15, 24, 26(b), 29(a),

SJL Section 1.4: 1, 2, 8(a,d), 10(a,f), 12 (a,d),

SJL Section 2.1: 1, 2.

5

SJL Section 2.1: 3(a,d,f,g,h), 4, 5, 6,

SJL Section 2.2: 1, 2, 3(a,c,e,f), 4, 5, 7(c,d), 9, 12(a).

6

SJL Section 2.3: 1(a,c), 2(a,c,d), 3, 5(a,b), 8,

SJL Section 3.1: 3, 6, 7, 9, 10, 14,

SJL Section 3.2, 8th: 1(a,c,e), 3(a,d), 4(a,d), 10(a,c), 12(a,c), 16(a,d), 18.

SJL Section 3.2, 7th: 1(a,c,e), 3(a,d), 4(a,d), 8(a,c), 10(a,c), 14(a,d), 16.

8

SJL Section 3.3, 8th: 1(a,c), 2(a,c), 4(a), 8(a,c), 9(a), 12(a,b),

SJL Section 3.3, 7th: 1(a,c), 2(a,c), 4(a), 6(a,c), 7(a), 10(a,b),

SJL Section 3.4: 3, 4, 5(a,b,c), 7, 10, 14(c,d),

SJL Section 3.5: 1(a), 2(a), 3, 4, 5, 6, 7, 8, 10.

10

SJL Section 3.6, 8th: 1, 2(b), 3, 4(b,d), 5, 6, 8, 9, 15, 16,

SJL Section 3.6, 7th: 1, 2(b), 3, 4(b,d), 5, 6, 7, 8, 11, 10,

SJL Section 4.1: 1(a,b,d), 3, 4, 5(a,c,d), 6(a,d), 8(a,c),10,

SJL Section 4.2: 1, 2(a,b,c), 3(a,b), 4(a), 5(a,b,c).

11

SJL Section 4.3: 1(a,b,e),

SJL Section 5.1: 1(a,b), 2(a,b), 3(a,c), 4, 7,

SJL Section 5.2: 1(a,b,c,d), 2.

13

SJL Section 5.3: 1(a,c), 3(a), 5, 6,

SJL Section 5.4: 1, 2, 3, 5, 9.

14

SJL Section 5.5: 1, 2, 3, 6, 8,

SJL Section 5.6: 1(a), 3, 4, 5, 8,

15

SJL Section 6.1: 1(a,c,f,g,k), 2, 3, 8 (6 in 7th), 9 (7 in 7th).

SJL Section 6.1: 1(d,e),

SJL Section 6.2: 1(a,b,d,e), 2(a,b), 3, 4, 5,

SJL Section 6.3: 1(a,c), 2(a,c), 6, 7.

Quizes

All quizes will be on Tuesdays. You can find old quizes and solutions here Quizes and solutions.

Week for quiz Topic Quiz and solution
2 Gauss-Jordan reduction.  
4 Calculation of inverse matrix using Gauss-Jordan reduction for an augmented matrix.  
5 LU-factorization.  
8 Change of bases.  
11 Linear maps and transformations.  
12 Vector product.  
13 Least squares method.  
15 Eigenvalues.  
16 IVP for ODE.  

Exams

Exam 1 will be on Tuesday, Feb. 24.

Topics: All section covered up to and including 3.3.

Additional training for Exam 1:

  • SJL Section 1.2, p. 24: 6(d),
  • SJL Section 1.3, p. 42: 1(h),
  • SJL Section 1.5, p. 66: 8(d),
  • SJL Section 2.2, p. 97: 3(e), 4, 5 (Hint: use induction),
  • SJL Section 2.3, p. 105: 1(c), 2(c),
  • SJL Section 3.2, p. 126: 10(c),
  • For SJL Section 3.3 do your HW above.

Exam 2 will be on Tuesday, March 31.

Topics: SJL Sections 3.3-5.1.

Additional training for Exam 2:

  • SJL Section 3.3, p. 137: 9(a),
  • SJL Section 3.4, p. 143: 10, 14(c),
  • SJL Section 3.5, p. 153: 1(a), 10,
  • SJL Section 3.6, p. 159: 4(d), 15,
  • SJL Section 4.1, p. 174: 4, 6(a),
  • SJL Section 4.2, p. 187: 4(a),
  • For SJL Sections 4.3, 5.1, and 5.2 do your HW above.

The Final Exam will be on ????

Topics:

  • Solution of systems of linear equations by Gauss-Jordan elimination (SJL Section 1.2, p. 23: 5(d,e,k)),
  • LU-factorization (SJL Section 1.5, p. 66: 8(a,d)),
  • Change of bases (SJL Section 3.5, p. 153: 3, 6),
  • Least squares method (SJL Section 5.3, p. 231: 5, 6),
  • QR-factorization (SJL Section 5.6, p. 268: 5, 8 (find QR for A=(x1,x2,x3)),
  • Gram-Schmidt orthogonalization for functions,
  • Linear independence of functions (SJL Section 3.3, p. 137: 8(a,c), 9(a), SJL Section 5.6, p. 268: 4),
  • Systems of ODEs (SJL Section 6.2, p. 305: 2(a,b)),
  • Diagonalization of matrices (SJL Section 6.3, p. 322: 1(a,c), 2).

Review slides. Previous exam.