Only problems marked by (*) should be turned in.

**Week of August 22**

M:Ch 1 (Sec 1-6) - Vector algebra and cartesian coordinates.

HW #1 - p.14 Section 1.5: 4, 5, 6*, 12*, 13, 15, 21*.W:Ch 1 (Sec 7-8) - Geometry and equations of the line.

HW #2 - p. 23 Section 1.7: 1, 4*, 5, 8*, 9, 13-24.

p. 29 Section 1.8: 1, 3, 7*, 11, 12, 13, 18*.Fr:Ch 1 (Sec 9-10) - Scalar product and equations of a plane.

HW #3 - p. 34 Section 1.9: 3, 5, 11, 13*, 15;

HW #3 - p. 38 Section 1.10: 3*, 5, 10, 11*.Bonus 1Solutions HW #3

M:Ch 1 (Sec 11-12) - Orientation and Cross product.

HW #4 - p. 51 Section 1.12: 2*, 5, 12*, 13, 19, 20, 21*, 26.Solutions HW #4W:Ch 1 (Sec 13) - Triple scalar products.

HW #5 - p. 57 Section 1.13: 3*, 5, 8, 17*.Solutions HW #5Fr:Ch 1 (Sec 14) - Vector Identities.

HW #6 p. 60 Section 1.14: 3*, 6, 7, 11*.Solutions HW #6Friday Sept. 2nd - Last day to add courses or change section

M:Holiday: Labor DayW:Ch 2 (Sec 1-2) - Curves, tangents, velocity, acceleration.

HW #7 - p.70 Section 2.1: 1*, 4, 5(h)*(i)*;

HW #7 - p. 85 Section 2.2: 2*, 6, 9.Solutions HW #7Fr:Ch 2 (Sec 2-3) - Arclength and curvature.

HW #8 - p. 95 Section 2.3: 4, 5*, 9*.Solutions HW #8

M:Ch 2 (Sec 3) - Curvature and torsion, Frenet formulas.

HW #9 - p.95 Section 2.3: 15*.Solutions HW #9W:Ch 3 (Sec 1) - Scalar fields, level lines/surfaces, gradient.

HW #10 - p.113 Section 3.1: 1(a)*, 3, 4, 9*,10, 12*, 14*, 20, 27*.Solutions HW #10Fr:Ch 3 (Sec 1-2) - Directional derivatives, vector fields and flow lines.

HW #11 - p.117 Section 3.2: 2*, 3, 4.Solutions HW #11Friday September 16 - Last day to change grading options

M:Ch 3 (sec 3) Divergence and flow tubes.

HW #12 - p.124 Section 3.3: 3, 4*, 5, 6*, 7, 8, 10, 11*.Solutions HW #12

W: Ch 3 (Sec 4-6) - Curl and vorticity, Laplacian.

HW #13 - p. 132 Section 3.4: 2, 3, 4*, 9*, 10, 11.

HW #13 - p. 140 Section 3.6: 2*, 4*, 5*, 7.Solutions HW #13Fr:Ch 3 (Sec 8) - Vector differential identities.

HW #14 - p. 150 Section 3.8: 6*, 9, 10(b, g, i)*,11, 12, 13 (bonus).Solutions HW #14

M:ReviewSample Exam 1W:Exam (based on Chapters 1-3, up to 3.8)Exam 1Solutions Exam 1

One page (both sides) of formulas allowed, this one:FormulasFr:Ch 3 (Sections 3-4) Revisited - Physical interpretation of Div and Curl.Friday September 30 - Last day to drop without grade

M:Ch 4 (Sec 1) - Line integrals.

HW #15 - p.191 Section 4.1: 1, 2, 3, 4, 7*, 10*, 14*, 18*.Solutions HW #15W:Ch 4 (Sec 1-2) - Line integrals, domains.

HW #16 - p.192 Section 4.1: 20*.

HW #16 - p.196 Section 4.2: 2*, 3, 4*, 5, 6, 7, 8*, 10.Solutions HW #16Fr:Ch 4 (Sec 3) - Conservative fields: potentials.

HW #17 - p.204 Section 4.3: 2, 4*, 5*, 7*, 8.Solutions HW #17

M:Ch 4 (Sec 4) - Conservative fields: Irrotational fields.

HW #18 - p.212 Section 4.4: 1(a, b*, c, d*, e*), 3*, 7, 9*.Solutions HW #18W:Ch 4 (Sec 4-5) Scalar and vector potencials:two-dimensional fields,

Fr:FALL BREAK

M:Ch 4 (Sec 5) Divergence free or solenoidal fields

HW #19 - p. 222: 4*, 9*, 10.Solutions HW #19W:Ch 2 (Sec 2.4), Ch 3 (Sec 10 ) Polar coordinates, Cylindrical coordinates.

HW #20 - p. 102: 2*, 8*, 9, 14*Solutions HW #20F:Ch 3 (sec 10) Cylindrical coordinates.

HW #21 - p. 170: 6*, 7*, 8(a, b*), 10, 11*, 13, 14Solutions HW #21

M:Ch 3 (sec 10) Spherical coordinates.

HW #22 - p. 181: 6, 7, 8*, 12*, 14. (optional)Solutions HW #22W:Ch 4 (Sec 6) - Oriented surfaces.

HW #23 - p.236: 1*, 2*, 3, 4, 5*, 6*.Solutions HW #23Fr:Ch 4 (Sec 7) - Surface Integrals.

M:Surface Integrals.

HW #24 - p.246: 1*, 2, 4, 5, 6*, 11*, 14*, 15, 16*, 20, 21.Solutions HW #24W:Review -Review Exam 2Solutions Review 2Fr:Exam (based on Homeworks 15-24) Take homeExam 2Solutions Exam 2

M:Ch 4 (Sec 8) - Volume integrals.

HW #25 - p.256: 1*, 3*, 4, 5*, 6*.Solutions HW #25W:Ch 4 (Sec 9) - Introduction to Divergence and Stokes theorem.

HW #26 - p. 262: 2(b,d,f), 4*, 5*, 10*, 11*.Solutions HW #26Fr:Ch 5 (Sec 1) - Divergence theorem.Friday November 11 - Last day to withdraw without approval from the Dean

M:Ch 5 (Sec 1)- Divergence Theorem.

HW #27 - p. 277: 6*, 7*, 8*, 9*, 10.Solutions HW #27

HW #27 - Schaum's p.126: 29 (justifying the heat equation).W:Ch 5 (Sec 4-5) - Green's and Stoke's Theorems.

HW #28 - p. 294: 5*, 6, 7*, 8, 9*, 11, 12*.Solutions HW #28Fr:Ch 5 (Sec 5) - Stoke's Theorem.

HW #29 - p. 299: 1*, 2*, 3*, 5, 6, 7.Solutions HW #29

HW #29 - Schaum's p.130: 35, 36. p. 134: 67*, 68*, 73* (Gauss's Law).Schaum's problems #29

M:Ch 5 (Sec 2) - Potential Theory: Green's formulas.

HW #30 - p. 284: 1*, 2*, 6, 8*.Solutions HW #30

W:Ch 5 (Sec 2) - Potential Theory.

Fr:THANKSGIVING

M:Ch 5 (Sec 2) - Solving Poisson's Equation

HW # 31 - Schaum's p. 134: 61*, 71*, 72*.Schaum's problems #31Solutions HW #31

W:Ch 5 (Sec 3) - The Helmholtz decomposition.

HW #32 - p. 290: 1*, 3*, 4*.Solutions HW #32Fr:Ch 5 (Sec 3) - The Helmholtz decomposition.

HW #33 - Schaum's p.132-134: 41*, 43*, 62*, 63*, 64, 65*, 66.Schaum's problems #33Solutions HW #33

M:ReviewW:ReviewSolutions Review 3Fr:Review

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Last updated: September 24th, 2005