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MATH 203 Winter 2014
Lecture Summary



Week Monday Tuesday Thursday
1 (Jan 6-10) Three-Dimensional Coordinate System (9.1)
Homework (do not hand in): (9.1) 1, 3, 5, 7, 8, 9, 11, 15, 19, 23, 27, 31, 33
Homework (due Jan 13, in class): (9.1) 34, 39, 41
Vectors (9.2), Dot Product (9.3, up to p.649)
Homework (do not hand in): (9.2) 4, 5, 6, 7, 9, 13, 16, 17, 19, 20, 23, 39
Homework (due Jan 13, in class): (9.2) 22, 30, 38
Dot Product (9.3), Cross Product (9.4, up to p.658)
Homework (do not hand in): (9.3) 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21bc, 25, 31 (9.4) 1, 3, 5, 7, 11, 19
Homework (due Jan 21, in class): (9.3) 18, 24, 32, 33, 45, 48
2 (Jan 13-17) Cross Product (9.4), Equations of Lines and Planes (9.5, up to Example 5)
Homework (do not hand in): (9.4) 21, 29, 35 (9.5) 1, 3, 5, 7, 9, 11, 15, 17, 19, 21, 23
Homework (due Jan 21, in class): (9.4) 6, 34 (9.5) 48, 52
Class Cancelled Student Activity 1
3 (Jan 20-24) Holiday Equation of a Plane (9.5), Functions and Surfaces (9.6. up to p. 675)
Homework (do not hand in): (9.5) 25, 27, 31, 33, 49
Homework (due Jan 27, in class): (9.5) 28, 46, 58, 62
Functions and Surfaces (9.6), Vector Functions and Space Curves (10.1)
Homework (do not hand in): (9.6) 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 27 (10.1) 1, 3, 5, 7, 9, 13, 17, 19-24, 27
Homework (due Feb 3, in class): (9.6) 24, 26, 33 (10.1) 28, 37, 38, 43
4 (Jan 27-31) Derivatives and Integrals of Vector Functions (10.2), Arc Length (6.4, 10.3)
Homework (do not hand in): (10.2) 1, 3, 5, 11, 13, 15, 21, 25, 35, 39 (6.4) 5, 9 (10.3) 3
Homework (due Feb 3, in class): (10.2) 24, 40, 50 (6.4) 31
Student Activity 2 Arc Length, Reparametrization, Curvature (10.3), Functions of several variables (11.1, introduction of level curves only)
Homework (do not hand in): (10.3) 5, 9, 13, 19, 23, 25, 27, 31
Homework (due Feb 10, in class): (10.3) 6, 16, 24, 32, 36
5 (Feb 3-7) Functions of Several Variables (11.1), Limits (11.2)
Homework (do not hand in): (11.1) 1, 2, 5, 7, 21, 35-40, 43, 45 (11.2) 5, 7, 9, 11, 13, 15, 17, 19
Homework (due Feb 10, in class): (11.1) 6, 14, 22, 26, 44 (11.2) 6, 12, 16, 18
Student Activity 3 Continuity (11.2), Partial Derivatives (11.3)
Homework (do not hand in): (11.2) 27, 29, 31 (11.3) 1, 3, 5, 7, 9, 11, 15, 17, 19, 23, 27, 29, 35, 39, 43, 47, 49
Homework (due Feb 17, in class): (11.2) 30, 34 (11.3) 10, 20, 22, 28, 34, 40, 48
6 (Feb 10-14) Higher Partial Derivatives (11.3), Tangent Plane (11.4)
Homework (do not hand in): (11.3) 53, 55, 57, 61, 65 (11.4) 1, 3
Homework (due Feb 17, in class): (11.3) 64, 75, 79, 88abce, 90 (11.4) 4
Test 1 Linear Approximations and Differentials (11.4)
Homework (do not hand in): (11.4) 13, 15, 17, 23, 25, 27, 29
Homework (due Feb 24, in class): (11.4) 20, 33, 34, 37, 44
7 (Feb 17-21) Chain Rule (11.5)
Homework (do not hand in): (11.5) 1, 3, 5, 7, 9, 11, 13, 15, 21, 25, 27, 31, 43, 45
Homework (due Feb 24, in class): (11.5) 24, 32, 34, 40, 47, 53
Student Activity 4 Directional Derivatives and The Gradient Vector (11.6)
Homework (do not hand in): (11.6) 1, 5, 7, 9, 11, 15, 21, 27, 37
Homework (due March 3, in class): (11.6) 10, 17, 22, 30, 32
8 (Feb 24-28) Tangent Planes to Level Surfaces (11.6), Maximum and Minimum Value (11.7)
Homework (do not hand in): (11.6) 39, 41, 47 (11.7) 1, 3, 7, 9, 11
Homework (due March 3, in class): (11.6) 52, 54 (11.7) 8, 14
Student Activity 5 Maximum and Minimum Value (11.7), Lagrange Multipliers (11.8)
Homework (do not hand in): (11.7) 15, 27, 29, 37, 41 (11.8) 5, 7, 9, 13, 15, 23
Homework (due March 10, in class): (11.7) 28, 44, 48 (11.8) 16, 26, 45
9 (Mar 3-7) Double Integrals (12.1), Fubini's Theorem (12.2)
Homework (do not hand in): (12.1) 1, 3, 5, 7, 11 (12.2) 3, 5, 7, 9
Homework (due March 10, in class): (12.1) 6, 14, 18 (12.2) 6, 8, 12
Student Activity 6 Iterated Integrals (12.2), Integrals Over General Regions (12.3)
Homework (do not hand in): (12.2) 13, 17, 19, 21, 23, 27, 31, 35, 37 (12.3) 3, 5, 7, 9, 13, 15, 17, 19, 25
10 (Mar 10-14) Integrals Over General Regions (12.3)
Homework (do not hand in): (12.3) 27, 29, 37, 41, 43, 45, 49, 51, 52, 55, 57, 61
Test 2 Student Activity 7
11 (Mar 17) Student Activity 7 no class no class



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