David Pierce | Matematik | M.S.G.S.Ü.

# Analytic Geometry

Math 115, 2006–2007, Fall Semester

Textbook: Analytic Geometry, H. I. Karakaş, METU, 1994. (Note: The paragraph spanning pp. 42–43 needs to be corrected.)

Suggested problems from the Karakaş book:

• Section 4.1 # 1a, 1b, 1d, 4, 5
• Section 4.2 # 1, 3b, 3c, 3d, 6-1, 8, 9
• Section 4.4 # 2b, 2c, 3, 7-1, 7-2, 7-4, 11
• Section 4.5 # 2a, 2b, 2d, 5b, 5e, 6c, 6d, 7b,7d, 8-1,8-2
• Section 4.6 # 1a,1b, 2
• Section 4.7 # 1a, 1b, 6, 7a, 10a, 11a
• Section 8.1 # 1b, 1c, 1d, 1e, 1g, 3a, 3e, 3f, 3g, 3i
• Section 8.3 # 1a, 1b, 1c, 1d, 1e, 1f, 1g, 1h, 1i, 1j, 1k, 2, 6, 7,9, 15a, 15c
• Section 8.4 #1

References: Any Calculus and Analytic Geometry book.

• on defining angles in analytic geometry;
• on conic sections.

Tentative Course Outline:

Week Topics Sections
1 Fundamental Principle of Analytical Geometry. Cartesian coordinates in the plane 1.5, 2.1, 2.7
2 Lines in the plane 2.2, 2.3
3 Review of trigonometry 2.4
4 Polar coordinates 2.5
5 Rotation and translation in the plane. Directed segments and vectors 2.6, 3.1,5.1
6 Algebra of vectors, scalar product 3.2, 3.3, 5.2, 5.3
7 Cross product, lines in 2 and 3-space, distance 5.4, 3.4, 3.5, 5.5
8 Lines in 3-space (cont.), planes 5.5, 5.6
9 Planes(cont.) 5.7
10 Conic sections, parabola, ellipse 4.1, 4.2, 4.3, 4.4
11 Hyperbola 4.5, 4.6
13 Spheres, cylinders, surfaces of revolution 8.1, 8.2
14 Canonical equations of quadratic surfaces 8.3

Grading: There will be two midterm exams which will be of weight 30% each. The final exam will be of weight 40%. The letter grade will be assigned by the instructor according to the distribution of weighted total grades.

Dates of Exams:

• Midterm 1: November 16 (Thursday), covering weeks 1–6 above
• Midterm 2: December 14 (Thursday), covering weeks 7–9 above
• Final: covers all weeks listed above (see in particular the suggested problems near the top of this page)
• Make-up: January 24 (Wednesday), 14.00, in M-214.  postponed from Tuesday because of a conflict

SectionInstructorWhenWhere
1Sergey Finashin Monday 11:40–12:30 M102
Wednesday 13:40–15:30
2Turgut Önder Monday 11:40–12:30 M103
Wednesday 13:40–15:30
3David Pierce Monday 12:40–13:30 M102
Wednesday 10:40–12:30
AssistantOffice hours, Room M-201
Evrim AkarWednesday 12:40–13.30
Thursday 12:40–13.30
Mehmet Onur FenWednesday 15.40–16.30
Friday 10.40–11.30

Son değişiklik: Saturday, 21 March 2015, 15:24:52 EET