Syllabus

Syllabus

Text Book

Calculus 3 Text Book


Quizzes



Tests


Final Exam Schedule

Will be held on Thursday, December 12, 2023 at regular class time in our regular classroom.




Homework

  • Chapter 1: Parametric Equations and Polar Coordinates
  • 1.1: 1,5,8,9,11,13, 17, 20, 21, 25, 29, 45, 48, 49, 58
  • 1.2: 61- 75 odd, 81, 89, 105, 110, 117 (tension holds the disco ball)
  • 1.3: 127, 129, 135, 142, 143, 145, 167, 174,181
  • 1.4: 183, 187, 211 , 219
  • 1.5: 289, 291, 298-305

  • Chapter 2: Vectors in Space
  • 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

  • Chapter 3: Vector-Valued Functions
  • 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

  • Chapter 4: Differentiation of Functions of Several Variables
  • 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

  • Chapter 5: Multiple Integration
  • 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

  • Chapter 6: Vector Calculus
  • 6.1: 2,3,4,5,9,15,16, 32,33, 34
  • 6.2: 40,41,42,44,49,56,58
  • 6.3: 101, 102, 103,106,11
  • 6.4: 146, 147,150, 151, 155, 156
  • 6.5: 206, 207, 208, 209, 212, 213, 219, 220, 222,224, 225, 227, 245, 250
  • 6.6: 40,41,42,44,49,56,58
  • 6.7: 326, 327, 332, 333
  • 6.8: 376, 383, 385, 388




    Tentative Schedule

    • Aug 27. 1.3, 1.4
    • Aug 29. 1.4, 1.5
    • Sep 3. 2.1, 2.2
    • Sep 5. 2.2, 2.3
    • Sep 10. 2.4, 2.5
    • Sep 12. 2.6, 2.7
    • Sep 17. 3.1, 3.2. 3.3
    • Sep 19. 4.1, 4.2, 4.3
    • Sep 24. Review
    • Sep 26. Test 1
    • Oct 1. 4.3, 4.4
    • Oct 3. 4.5, 4.6
    • Oct 8. 4.7, 4.8
    • Oct 10. 4.8, 5.1
    • Oct 15. Fall Break (10/14-10/15) No Classes
    • Oct 17. 5.2, 5.3
    • Oct 22. 5.3, 5.4
    • Oct 24. Review
    • Oct 29. Test 2
    • Oct 31. 5.5, 5.6
    • Nov 5. 5.6, 5.7
    • Nov 7. 6.1, 6.2
    • Nov 12. 6.3, 6.4
    • Nov 14. 6.4, 6.5
    • Nov 19. 6.6
    • Nov 21. Review
    • Nov 26. Test 3
    • Nov 28. Thanksgiving Recess - no classes (11/27-11/30)
    • Dec 3. 6.7
    • Dec 5. 6.8
    • Dec 10. Study/make-Up Day (12/10-12/11), Review
    • Dec 12. Final Exam