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Date
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Topic/Section/Lecture
Notes
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Jan 9
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Vectors in the Plane/(10.1)
1. vectors 2. vector algebra 3. special vectors 4. polar form of a vector
Lecture
Notes
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Jan
11
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Vectors
in Space/(10.2)
1. A Right-handed Coordinate System 2. Distance between 2 points 3. Vectors in R3 4. Vector Algebra 5. Special Vectors
Lecture Notes
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Jan
14
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The
Dot Product/(10.3)
1. Dot Product 2. Properties of the Dot Product 3. The Angle Between Two Vectors 4. Components and Projections Lecture Notes |
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Jan
15
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The
Cross Product/(10.4)
1. Determinant of a matrix 2. The Cross Product 3. Properties 4. Magnitude of uxv 5. More Applications Lecture Notes |
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Jan
16
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The Cross Product/(10.4) |
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Jan
18
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Lines
and Planes in Space/(10.5)
1. equations of lines 2. equations of planes
Lecture
Notes
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Jan
21
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Martin
Luther King, Jr. Day - No Classes.
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Jan
22
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Surfaces
in Space/(10.6)
1. cylindrical surfaces 2. quadric surfaces
Lecture
Notes
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Jan
23
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Surfaces
in Space/(10.6)
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Jan
25
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Vector-Valued
Functions/(11.1)
1. Vector-valued functions and their graphs 2. Arc length Lecture Notes |
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Jan
28
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The
Calculus of Vector-Valued Functions/(11.2)
1. limits 2. continuity 3. derivatives 4. properties 5. integrals |
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Jan
29
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The
Calculus of Vector-Valued Functions/(11.2)
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Jan
30
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Review
for Hour Exam 1
Section 10.1-10.7 and 11.2
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Feb
1
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Hour
Exam 1
Section 10.1-10.7 and 11.2
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Feb
4
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The
Calculus of Vector-Valued Functions/(11.2)
1. limits 2. continuity 3. derivatives 4. properties 5. integrals Lecture Notes |
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Feb
5
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Motion
in Space/(11.3)
1. position, velocity and acceleration vectors 2. centripetal forces 3. using calculator TI-89 Lecture Notes |
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Feb
6
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Curvature/(11.4)
1. tangent vectors 2. curvature 3. curvature in polar coordinates Lecture Notes |
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Feb
8
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Curvature/(11.4)
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Feb
11
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Tangent
and Normal Vectors/(11.5)
1. principal unit normal vector 2. binormal vector 3. TNB-frame Lecture Notes Calculator Instructions for computing r(t), r’(t) Calculator Instructions for computing N(t), T(t) |
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Feb
12
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Tangent
and Normal Vectors/(11.5)
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Feb
13
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Functions
of Several Variables/(12.1)
1. Domain, range and graph
of a multi-variable function.
2. Level curves or level
surfaces of a multi-variable function
Lecture Notes |
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Feb
15
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Functions
of Several Variables/(12.1)
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Feb
18
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Limits
and Continuity/(12.2)
1. limits 2. continuity Lecture Notes |
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Feb
19
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Limits
and Continuity/(12.2)
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Feb
20
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Review
for Hour Exam 2 - (11.1-11.5, 12.1-12.2)
Review
materials
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Feb
21
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Hour
Exam 2 - (11.1-11.5, 12.1-12.2)
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Feb
25
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Partial
Derivatives/(12.3)
1. partial derivatives
Lecture
Notes
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Feb
26
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Tangent Planes and Linear
Approximations/(12.4)
1. tangent planes and normal line 2. linear approximations Lecture Notes |
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Feb
27
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The Chain Rule/(12.5) 1. Chain Rule 2. Implicit Differentiation Lecture Notes |
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Feb
29
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Directional
Derivatives and Gradient Vector/(12.6)
1. directional derivatives 2. gradients 3. tangent plane 4. normal vector Lecture notes |
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Mar
3
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Maximum
and Minimum Values/(12.7)
1. critical points 2. a necessary condition for local extremes 3. discriminant 4. second derivative test
Lecture
notes
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Mar
4
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Maximum
and Minimum Values/(12.7)
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Mar
5
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Constrained Optimization and Lagrange
Multipliers/(12.8)
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Mar
7
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Double
Integrals/(13.1)
Lecture notes
Notes
on TI-89
Instructions
for using TI-89 to evaluate a multi-variable function
and
evaluate double and triple integrals
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Mar
10
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Area,
Volume and Center of Mass/(13.2)
Lecture
Notes
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Mar
11
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Double
Integrals in Polar Coordinates/(13.3)
1. polar coordinates 2. double integrals in polar coordinates
Lecture
Notes
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Mar
12
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Review
for Hour Exam 3
Sections 12.1-12.7, 13.1-13.3
Review
materials
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Mar
14
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Hour
Exam 3
Sections 12.1-12.7, 13.1-13.3
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Mar
17
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Double Integrals in Polar Coordinates/(13.3) Lecture Notes |
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Mar
18
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Surface
Area (13.4)
Lecture Notes |
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Mar
19
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Surface
Area (13.4)
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Mar
21
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Triple
integral (13.5)
triple integrals applications
Lecture
Notes
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Mar
24-28
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Spring
Break!
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Mar
31
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Triple
integral (13.5)
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Apr
3
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Triple
Integrals in Cylindrical/(13.6)
1. cylindrical coordinates Lecture Notes |
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Apr
2
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Triple Integrals in Spherical
Coordinates/(13.7)
1. spherical coordinates Lecture Notes |
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Apr
4
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Vector
Fields/(14.1)
1. vector fields 2. flow lines 3. gradient fields Lecture Notes Quiz 11 Solutions |
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Apr
7
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Line
Integrals/(14.2)
1. line integrals of f(x,y,z) w.r.t. arc length along a curve C 2. work done by the force field F(x,y,z) along a curve C Lecture Notes |
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Apr
8
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Line
Integrals/(14.2)
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Apr
9
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Review
for Hour Exam 4
Section 13.1-13.7, 14.1-14.2
Review
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Apr
11
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Hour
Exam 4
Section 13.1-13.7, 14.1-14.2
Solutions
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Apr
14
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Independency
of Path and Conservative Vector Field/(14.3)
1. path independent line integrals 2. sufficient and necessary conditions 3. equivalent relations
Lecture Notes
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Apr
15
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Independency
of Path and Conservative Vector Field/(14.3)
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Apr
16
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Green's
Theorem (14.4)
1. simple closed curves
2.
Green's Theorem
Lecture Notes
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Apr
18
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Green's
Theorem (14.4)
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Apr
21
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Review
for the final exam
Review
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Apr
22
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Review
for the final exam
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Apr
25
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Final
Exam 1:00 - 4:00pm
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