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Your homework assignment:
Old midterm exams:
Hom: 1 and 2.
Isik: 1 and solutions
1.
Rimmer: 1, 2
and 3.
Vela-Vick: 1.
Assignment 1, week 1:
(8.1) Matrix Algebra 3, 12, 13, 15, 18, 23, 28, 33, 36, 38.
(8.2) Systems of Linear Algebraic Equations 5, 7, 9, 20.
(8.3) Rank of a Matrix 1, 5, 9, 13, 16, 17.
(8.4) Determinants 3, 7, 21, 29.
(8.5) Properties of Determinants 4, 7, 12, 15, 21, 31, 33, 34, 37,
39.
(8.6) Inverse of a Matrix 1, 5, 9, 11, 21, 25, 27, 33, 34, 35, 36, 37,
38, 39, 40, 49, 51.
Preparation for quiz: S08, 3; F07, 4, 5; F08, 2, 3; S07, 2, 9.
Assignment 2, week 2:
(8.7) Cramer s rule 1, 9, 10, 11.
(8.8) The Eigenvalue Problem 1, 5, 6, 7, 8, 15, 17, 21, 22, 23, 24,
25, 26.
(8.9) Powers of Matrices 1, 2, 18 (see definition in problem 17).
(8.10) Orthogonal Matrices 3, 4, 8, 9, 10, 11, 14, 15, 19, 20, 24,
25.
(8.12) Diagonalization 5, 6, 7, 15 ,19, 21, 22, 25, 26, 27, 29, 35,
36, 37, 38, 39.
Preparation for midterm: F08, 11; F07, 7, 11; S08, 1, 2, 4; F06, 1, 2,
3, 4; S07, 1, 2, 3, 9; F05, 9, 10; S06, 1, 14, 15, 16, 18, 19; F04, 3;
S05, 1, 9, 10.
Note that for many of the exams, the answers are written on the last page.
Assignment 3, week 2:
(2.2) Separable Variables: 6, 7, 8, 29 (use the given partial fraction
expansion), 39, 40 (if you don't know how to graph the solutions, skip
part b of 39 and 40).
(2.8) Nonlinear Models: 1, 2, 3.
(3.1) Preliminary Theory: Linear Equations: 1, 3, 5, 7, 8, 11, 12, 15,
18, 21, 22, 31, 32, 33, 35, 36 ("by inspection" means
guessing!).
(3.3) Homogeneous Linear Equations with Constant Coefficients: 3, 9,
13, 14, 15, 16, 17, 23, 24, 29, 30, 35, 36, 37, 39, 49.
Assignment 4, week 3:
(3.4) Undetermined Coefficients 1, 2, 5, 6, 8, 9, 11, 12, 14, 17, 21,
25, 27, 28, 30, 31, 33, 37, 38, 40, 41.
(3.6) Cauchy-Euler Equation 1, 2, 3, 4, 7, 8, 11, 14, 15, 16, 27, 28,
29 (if you don't know how to graph the solutions, skip that), 31, 32,
33, 39.
Assignment 5, week 3:
(3.8) Linear Models: Initial Value Problems 2, 3, 4, 5, 7, 11, 13, 15,
16, 17, 23, 24, 25, 26, 29, 30, 31, 32, 35, 36, 38, 39.
(10.1) Preliminary Theory 5, 7, 9, 13, 14, 17, 18, 19, 20, 21, 22, 23,
24, 25, 26.
(10.2) Homogeneous Linear Systems 2, 3, 5, 7, 11, 12, 13, 14, 19, 20,
21, 22, 23, 24, 26, 28, 29, 30, 31.
Preparation for the quiz: F08: 8, 9; S08; 10, 12, 13, 14; F07: 3; S07:
14; F06: 9; S06: 2, 3, 13; F05: 13; S05: 11; S04: 2, 3; F03: 12; S03:
3; F02: 2, 3.
Assignment 6, week 4:
(10.2) Homogeneous Linear Systems 33, 34, 35, 36, 38, 39, 40, 42, 43,
45, 46, 52.
(10.3) Solutions by Diagonalization 1, 3, 4, 5, 7, 9, 10, 11.
(10.4.3) Nonhomogeneous Linear Systems Diagonalization 35, 36, 37,
38.
(9.1) Vector Functions 3, 7, 13, 15, 17, 23, 25, 29, 33, 39.
(9.4) Partial Derivatives 13, 27, 33, 39, 49, 53.
(9.5) Directional Derivatives 1, 11, 16, 23, 27, 31.
(9.6) Tangent Planes and Normal Lines 1, 15, 25, 30.
Preparation for the second midterm: F08: 10; S08: 11; S07: 4(i), 6;
F06: 15; S06: 7; F05: FR 2; S05: 7, 8; F04: 2, 5, 11; S03: 9, 13; F02:
8, 9, 14.
Assignment 7, week 4:
(9.7) Divergence and Curl 1, 6, 9, 12, 13, 27, 29, 30, 32, 33, 35, 37,
39, 43 (a,b).
(9.8) Line Integrals 1, 2, 5, 7, 10, 15, 16, 19, 21, 23, 24, 28, 30,
31, 33, 35, 36, 38, 39, 40, 41.
(9.9) Independence of Path 1, 3, 5, 7, 10, 11, 12, 13, 15, 16, 17, 18,
21, 24, 25, 27, 28, 31.
(9.10) Double Integrals 1, 5, 6, 11, 13, 16, 17,18, 23, 29, 35, 41,
43, 52, 56.
(9.11) Double Integrals in Polar Coordinates 1, 5, 8, 11, 17, 25, 28,
32.
(9.12) Green's theorem 1, 3, 5, 8, 10, 11, 13, 15, 16, 17, 18, 20, 21,
23, 24, 25, 26, 29, 30, 31.
Preparation for quiz: F08: 4, 5; S08: 5, 6; F07: 8, 10; S07: 4
(ii+iii), 10, 11; F06: 5, 7; S06: 12.
Assignment 8, week 5:
(9.13) Surface integrals 1, 2, 3, 5, 9, 10, 11, 15, 16, 19, 21, 22,
25, 27, 30, 31, 33, 34, 35, 37, 43.
(9.14) Stokes' Theorem 1, 3, 6, 7, 8, 9, 10, 11, 13, 15, 17, 18.
Assignment 9, week 5:
(9.15) Triple Integrals 1, 2, 3, 4, 5, 7, 11, 12, 13, 15,16, 17, 18,
19, 21, 22, 23, 24, 25, 29, 30, 37, 38, 41, 42, 43, 45, 47, 48, 51,
53, 59, 60, 65, 66, 67, 68, 71, 72, 75, 76.
(9.16) Divergence Theorem 2, 3, 4, 5, 7, 9, 10, 11, 15, 17, 18, 19, 20,
21, 22.
Preparation for final:
Material Covered in Class:
The sections below refer to the relevant sections in "Advanced
Calculus" [AC] by Cullen and Zill.
Week 1
Tuesday: Intro to linear algebra, 8.1
Wednesday: 8.2, 8.3
Thursday: 8.4, 8.5, 8.6
Week 2
Monday: Quiz 1, 8.7, 8.8.
Tuesday: 8.9, 8.10, 8.12.
Wednesday: 2.2, 2.8 (logistic equation only), 3.1.
Thursday: 3.1, 3.3.
Week 3
Monday: Midterm, 3.4.
Tuesday: 3.4, 3.6.
Wednesday: 3.8, 10.1.
Thursday: 10.2
Week 4
Monday: Quiz 2, 10.2, 10.3, 10.4.3.
Tuesday: 10.4.3, 9.1, 9.4, 9.5, 9.6.
Wednesday: 9.7, 9.8.
Thursday: 9.8, 9.9.
Week 5
Monday: Exam 2, 9.9.
Tuesday: 9.9, 9.10, 9.11.
Wednesday: 9.12, 9.13.
Thursday: 9.13, 9.14.
Week 6
Monday: 9.15, 9.16.
Tuesday: Review.
Wednesday: Review.
Thursday: Final exam.
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