Instructor

Prof. Michael Larsen
Rawles Hall 303
Tel. 1-812-855-1064
E-mail mjlarsen@indiana.edu
Office hours to be announced.

Textbook

Vector Calculus, Fifth Edition, by Marsden and Tromba

Syllabus

• Chapter I: Arithmetic, Algebra, and Geometry of Vectors
• Chapter 4: Vector-valued Functions
• Chapter 7: Integration over Paths and Surfaces
• Chapter 8: Div, Grad, Curl and all that

Homework

• Due Jan. 20
  • 1.1: 4, 6, 9, 16, 18, 21, 24, 26, (31)
  • 1.2: 1, 13, 15, 21, 26
• Due Jan. 27
  • 1.3: 3, 6, 11, 15, 18, 29, 34
  • 1.4: 1, 4, 7a, 12
  • 1.5: 13, 18, (15)
• Due Feb. 3
  • 4.1: 7, 10, 13, 14, (21)
  • 4.2: 1, 4, 8, (18: why do you think this is called the twin paradox?)
• Due Feb. 10
  • 4.3: 2, 5, 7, 10, 15, 20
  • 4.4: 1, 7, 9, 14, 18, 22, 27
  • Prepare for Exam #1 on Feb. 10
• Due Feb. 24
  • 7.1: 2, 6 (for (b) use the half-angle identity for cosines), 10
  • 7.2: 1, 4, 6, 11, 14, 16, 17
• Due Mar. 6
  • 7.3: 1, 4, 5, 10, 14 (Hint: see p. 167), (18)
  • 7.4: 3, 5, 6 (Hint: describe the region in spherical coordinates), 7, 10, 11, 13, 20
  • Prepare for Exam #2 on Mar. 8
• Due Mar. 27
  • 7.5: 2, 4, 5, 8, (18)
  • 7.6: 2, 4, 6, 9
• Due Apr. 7
  • 8.1: 1, 3, 4, 10, 12, 16, (24)
  • Prepare for Exam #3 on Apr. 7
• Due Apr. 21
  • 8.2: 4, 7, 9, 10
  • 8.3: 2, 3, 5, 7, 11, 13
• Due Apr. 28
  • 8.4: 2, 3, 5, 10, 13, (20)
  • Prepare for Final Exam Wed., May 3, 10:15-12:15.

Grading Policy

Your grade will be computed from six equally weighted components: homework average, three exams, and a final exam (which counts as two components). Your lowest component will be dropped and the rest averaged to produce your score for the course. Students will be ranked according to this score, and grades will be assigned according to the ranking. Homework will be assigned weekly, and the lowest score will be dropped before the average is computed.

Calculators are not allowed on exams. They may be used, and may occasionally be useful, on homework; a basic calculator will be enough for this class.

Academic honesty is assumed as a matter of course. Cheating on exams will lead to an automatic grade of zero and possibly other consequences.

Study Groups

Students may wish to form study groups of 2-5 people to discuss the homework. A group size of 3 or 4 is ideal. Study groups are also very important when preparing for exams. While students are strongly encouraged to work in groups on homework, each student is responsible for writing up his or her own solutions in his or her own words.