LECTURE: MWF 09:00 -- 09:50 Kidd 364 CRN 20221 Recitation: T 10:00 -- 10:50 FAIR 305 CRN 20222 T 09:00 -- 09:50 BEXL 326 CRN 25734 Instructor: M. Peszynska Kidder 306 mpesz@math.oregonstate.edu Teaching Assistant: Kyle Champley Kidd 324 See also: Kidder 108 Math Learning Center Help Session: Wednesday, Feb. 2, Kidd 350, 16:00-18:00
Help Session: Wednesday, Feb. 23, Kidd 350, 16:00-18:00
Help Session: Wednesday, March 16, Kidd 364, 15:00-17:00
Syllabus:
Vectors, vector functions, and curves in two and three dimensions. Surfaces, partial derivatives, gradients, and directional derivatives. Multiple integrals in rectangular, polar, cylindrical, and spherical coordinates. Physical and geometric applications.Prerequisite: MTH 252
Textbook: James Stewart, Calculus - Early Transcendentals (ET) or Multivariable Calculus (MV), 4th ed., Brooks/Cole.
Final Exam: Thursday, March 17, 0930 in Kidd 364.
Homework will be assigned in Lecture Periods as a topic for Recitation Periods, but it will not be collected. Two fifty-minute Tests will be given on February 4 (Friday) and February 25 (Friday). Test problems come directly from the assigned Homework. Final Exam counts the equivalent of two Tests. The Grade for the course is determined by the best three of these four scores. Absence from a Test gives a score of 0 for that Test. The Final Exam will be comprehensive and will serve as a make up for one Test; no excuse from a Test is necessary, and there is no excuse for absence from the Final Exam. Lectures will be on MWF and Recitations on Tuesday. Note: calculators will not be allowed on Tests or on the Final.Schedule: (section numbers in text)
VECTORS and GEOMETRY of SPACE: ET Chapter 12, MV Chapter 13.
1. (1/3) Coordinates (Cartesian and Descartes) Section 1: 3, 9, 11, 15, 31; (polar, cylindrical and spherical) Section 7: 3, 9, 15, 21, 49.
2. (1/5) Vectors Section 2: 7, 11, 17, 19, 23, 25, 29.
3. (1/7) Dot Product Section 3: 3, 5, 7, 15, 17, 29, 39, 42.
4. (1/10) Cross Product Section 4: 1, 5, 12, 15, 25, 31, 33, 34, 39.
5. (1/12) Lines & Planes Section 5: 3, 7, 15, 19, 23, 27, 31, 35, 43, 59, 61, 63
PARTIAL DERIVATIVES: ET Chapter 14, MV Chapter 15.
6. (1/14) Functions of Several Variables Section 1: 7, 11, 27, 35, 57; Limits and Continuity Section 2: 5, 9, 15, 31, 37.
7. (1/19) Partial Derivatives Section 3: 1, 5, 7, 11, 13, 15, 31, 33, 43, 45, 51, 65.
8. (1/21) Tangent Planes Section 4: 1, 3, 5, 11, 13, 15, 17.
9. (1/24) Chain Rule Section 5: odd # 1-9 & odd # 25-33.
10. (1/26) Gradient Section 6: odd # 1-13 & odd # 21-27.
11. (1/28) MaxMin Section 7: odd # 1-9 & odd # 27-31.
12. (1/31) REVIEW
13. (2/2) REVIEW
14. (2/4) TEST 1 practice (see section.problem):
3.17, 3.42, 5.7, 5.27, 5.35;
3.15, 4.3, 5.1, 5.27, 6.11, 7.9
MULTIPLE INTEGRALS: ET Chapter 15, MV Chapter 16.
15. (2/7) Double Integrals over Rectangles Section 1: 11, 13, 14.
16. (2/9) Iterated Integrals Section 2: odd # 3-7, 13-17, 23-27.
17. (2/11) General Regions Section 3: odd # 1, 7-11, 19-21, 33-45.
18. (2/14) Integrals in Polar Coordinates Section 4: odd # 7, 9, 15 - 29.
19. (2/16) Applications Section 5: odd # 1-11.
20. (2/18) Triple Integrals Section 7: odd # 3-11, 17, 19, 29-35. (11/10)
21. (2/21) Cylindrical and Spherical coordinates Section 8: odd # 1, 3, 7-13, 17-23.
22. (2/23) REVIEW
23. (2/25) TEST 2 practice (see section.problem):
2.5, 2.7, 3.19, 3.35, 4.9, 7.7, 8.21
VECTOR FUNCTIONS: ET Chapter 13, MV Chapter 14.
24-25. (2/28, 3/2) Space curves. Section 1: odd # 7-20. Derivatives & Integrals of Space Curves Section 2: odd # 3-11, 17-25, 33, 39.
26. (3/4) Arc Length & Curvature Section 3: odd # 1, 3, 7-23, 33.
27. (3/7) Velocity & Acceleration Section 4: odd# 3-17, 29, 31.
28-29. (3/9-11) Review
Final Exam Topics: Vectors and Geometry: Section 5. Partial Derivatives: Sections 4, 5, 6. Multiple Integrals: Sections 3, 4, 7, 8. Vector Functions: Sections 3, 4.