Syllabus

Syllabus

Text Book

Calculus 3 Text Book


Quizzes



Tests


Final Exam Schedule

Will be held on Monday, December 18, 2017 at regular class time in our regular classroom.




Homework

  • 2.1: 1,5,8,9,11,13, 17, 20, 21, 25, 29, 45, 48, 49, 58
  • 2.2: 61- 75 odd, 81, 89, 105, 110, 117 (tension holds the disco ball)
  • 2.3: 127, 129, 135, 142, 143, 145, 167, 174,181
  • 2.4: 183, 187, 211 , 219
    • Prove $$ \|{\bf v} + {\bf w}\|^2 = \|{\bf v}\|^2 + \|{\bf w}\|^2 + 2{\bf v}\cdot{\bf w} $$
    • Prove $$ \|{\bf v}\|^2\|{\bf w}\|^2 = \left ( {\bf v}\cdot{\bf w} \right )^2 + \left \| {\bf v}\times {\bf w}\right \|^2 $$
  • 2.5: 243a,b,d, 247, 251, 254, 259, 261, 263, 267, 271, 276, 279, 291, 292
  • 2.6: Graph the following using the method of trace. Do not use technology.
    • $-x^2 + 36y^2 + 36z^2 = 9$
    • $-4x^2 + 25y^2 + z^2 = 100$
    • $-3x^2 + 5y^2 - z^2 = 10$
    • $3x^2 - y^2 - 6z^2 = 18$
    • $5y = x^2 - z^2$
    • $8x^2 - 5y^2 - 10z = 0$
  • 2.7: 363-369 odd, 371-377 odd (do not use technology), 379-383 odd
  • 3.1: 7, 14, 16, 22, 27, 32, 33, 34, 35
  • 3.2: 41, 51, 52, 55, 59, 61, 69, 76, 77,80, 81, 82, 93
  • 3.3: 102, 112
  • 4.1: 19, 21, 26, 39, 40, 41, 53
  • 4.2: 63, 65, 86, 87, 97, 107
  • 4.3: 113-117 odd, 122, 123, 130, 132
  • 4.4: 172, 173, 198, 199
  • 4.5: 224, 225, 227
  • 4.6: 265, 272, 275, 280, 281, 306
  • 4.7: 318, 325, 333, 348 (Use Theorem 4.17 on page 441)
  • 4.8: 362, 366, 371, 384 (the inverse Harry Potter probem?)
  • 5.1: 1, 13, 17, 20, 3435 59
  • 5.2: 60, 68 (for 60 and 68 state what type of region and set up the region), 74, 77, 83, 84, 87, 89, 94, 97, 99, 103, 105
  • 5.3: 123, 127, 129, 131, 133, 135, 148, 150, 154, 158
  • 5.4: 181, 195, 199, 211, 221
  • 5.7: 378, 379, 386, 388, 390, 392, 395




    Tentative Schedule

    • 9/6: 1.1. Parametric Equations & 1.2. Calculus of Parametric Curves, 1.3. Polar Coordinates
    • 9/11 to 9/13: 1.4. Area and Arc Length in Polar Coordinates, 1.5. Conic Sections
    • 9/18 to 9/20: 2.1. Vectors in the Plane & 2.2. Vectors in Three Dimensions, 2.3. The Dot Product
    • 9/25 to 9/27: 2.4. The Cross Product, 2.5. Equations of Lines and Planes in Space
    • 10/2 to 10/4: 2.6. Quadric Surfaces, 2.7. Cylindrical and Spherical Coordinates
    • 10/9 to 10/11: , 3.1. Vector-Valued Functions and Space Curves & 3.2. Calculus of Vector-Valued Functions & 3.3. Arc Length and Curvature
    • 10/16 to 10/18: Review, Test 1
    • 10/23 to 10/25: 4.1. Functions of Several Variables & 4.2. Limits and Continuity, 4.3. Partial Derivatives
    • 10/30 to 11/1: 4.4. Tangent Planes and Linear Approximations, 4.5. The Chain Rule, 4.7. Maxima/Minima Problems
    • 11/6 to 11/8: 4.8. Lagrange Multipliers, 5.1. Double Integrals over Rectangular Regions
    • 11/13 to 11/15: 5.2. Double Integrals over General Regions, 5.3. Double Integrals in Polar Coordinates, 5.4. Triple Integrals
    • 11/20 to 11/22: Selection from 5.5, 5.6 and 5.7
    • 11/27 to 11/29: Review , Test 2
    • 12/4 to 12/6: 6.1. Vector Fields, 6.2. Line Integrals, 6.4. Green’s Theorem
    • 12/11 to 12/13: 6.5. Divergence and Curl, Review
    • 12/18: Final Exam