METU-NCC Math

    Math 120 Calculus for Functions of Several Variables (Fall 2011)

This page is for archival purposes only!
Students should use ODTU-Class

Week 1:
Sep.26-30
1
Chapter 13. Vectors and the Geometry of Space
§13.1: Three-Dimensional Coordinate Systems.
§13.2: Vectors.
§13.3: The Dot Product.
2 §13.4: The Cross Product.
§13.5: Equations of Lines and Planes.
Week 2:
Oct.3-7
3 §13.6: Cylinders and Quadric Surfaces.
4
Chapter 14. Vector Functions
§14.1: Vector Functions and Space Curves.
§14.2: Derivatives and Integrals of Vector Functions.
Week 3:
Oct.10-14
5
Chapter 15. Partial Derivatives
§15.1: Functions of Several Variables.
6 §15.2: Limits and Continuity.
§15.3: Partial Derivatives.
Week 4:
Oct.17-21
7 §15.4: Tangent Planes and Linear Approximations.
8 §15.5: The Chain Rule.
§15.6: Directional Derivatives and the Gradient Vector.
Week 5:
Oct.24-28
9 §15.7: Maximum and Minimum Values.
10 §15.8: Lagrange Multipliers.
Week 6:
Oct.31-
Nov.4
11
Chapter 16. Multiple Integrals
§16.1: Double Integrals over Rectangles.
§16.2: Iterated Integrals.
12 §16.3: Double Integrals over General Regions.
Week 7:
Nov 7-11
13 §11.3: Polar Coordinates.
§16.4: Double Integrals in Polar Coordinates.
14 §16.6: Triple Integrals.
Week 8:
Nov.14-18
15 §16.9: Change of Variables in Multiple Integrals.
16 §16.9: Change of Variables in Multiple Integrals.
Week 9:
Nov.21-25
17
Chapter 17. Vector Calculus
§17.1: Vector Fields.
18 §17.2: Line Integrals.
MIDTERM EXAM
17:40-19:40 on Monday, November 28
Week 10:
Nov.28-
Dec.2
19 §17.3: The Fundamental Theorem for Line Integrals.
20 §17.4: Green's Theorem.
Week 11:
Dec.5-9
21
Chapter 12. Infinite Sequences and Series
§12.1: Sequences.
22 §12.2: Series.
Week 12:
Dec.12-16
23 §12.3: The Integral Test (Up to Estimating the Sum of a Series).
24 §12.4: The Comparison Tests (Up to Estimating Sums).
Week 13:
Dec.19-23
25 §12.5: Alternating Series.
26 §12.6: Absolute Convergence and the Ratio and Root Tests.
Week 14:
Dec.26-30
27 §12.7: Strategy for Testing Series.
§12.8: Power Series.
28 §12.9: Representations of Functions as Power Series.
Week 15:
Jan.2-6
29 §12.10: Taylor and Maclaurin Series.
30 §12.11: Applications of Taylor Polynomials.
FINAL EXAM
16:30 on Friday, January 13 lucky!
S-121, S-122

* Reading assignments may be tested in the exams and quizzes.