Houston Community College
Northwest College
Katy Campus
Math Department
Instructor: Hung Dam
Room: 126
Summer 2012
Math 2415 : Calculus III
CRN : 82031
June 04 – July 26
T & Th (6:00 - 10:00 pm)
Phone: 832-798-5983
COURSE SYLLABUS, CAL III, SUMMER 2012
Prerequisites: Math 2414. Pass with a “C” or better, or consent of the Department Head.
Text Book:. CALCULUS WITH ANALYTIC GEOMETRY by Larson & Edwards, 9th
edition, Brooks/Cole, Cengage Learning, 2010.
Departmental Policies:
1. There will be 3 major exams.
2. An open book exam may be given at the discretion of the instructor.
3. There will be a comprehensive final exam and questions on it can deal with any of the
course objectives.
4. The final exam must be taken by all students
5. The final exam is counted from 25% to 40% of the course average score, at the discretion of
the instructor.
6. The course letter grade will be used in the usual manner. Letter grades will be assigned as
follows :
Course average score:
90 - 100
80 - 89
70 - 79
60 - 69
Below 60
Letter Grade:
A
B
C
D
F
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COURSE CALENDAR, MATH 2413 : CALCULUS III
SESSION DATE
TOPICS
SECTIONS
WEEK # 1
Tue June 05, 2012
Thu June 07, 2012
Vectors in the Plane
Vectors in Space
Dot-product of 2 vectors
Cross-product of 2 vectors
Lines and plane in Space
Surfaces in Space
Cylindrical & Spherical Coordinates
11.1
11.2
11.3
11.4
11.5
11.6
11.7
WEEK # 2
Tue June 12, 2012
Thu June14, 2012
Vector-Valued Functions (VVF)
Differentiation & Integration of VVFs
Velocity & Acceleration
Tangent vectors Ts & Normal vectors Ns
Arc lengths & Curvature
Functions of several variables
limits & Continuity
12.1
12.2
12.3
12.4
12.5
13.1
13.2
WEEK # 3
Tue June 19, 2012
EXAM # 1
Thu June 21, 2012
Partial Derivatives
Differentials
Chain Rules for Functions of Several Variables (FSVs)
13.3
13.4
13.5
WEEK # 4
Tue June 26, 2012
Thu June 28, 2012
Directional Derivatives & Gradients
Tangent Planes & Normal Lines
Extrema of Functions of Two Variables (F2Vs)
Applications of Extrema of F2Vs
Lagrange Multipliers
Iterated Integrals & Area in the Plane
2 of 3
13.6
13.7
13.8
13.9
13.10
14.1
COURSE CALENDAR, MATH 2413 : CALCULUS III
SESSION DATE
TOPICS
SECTIONS
WEEK # 5
Tue July 03, 2012
Thu July 05, 2012
EXAM # 2
Double Integrals & Volume
Change of variables: Polar Coordinates
Center of Mass & Moments of Inertia
14.2
14.3
14.4
WEEK # 6
Tue July 10, 2012
Thu July 12, 2012
Surface Area
Triple Integrals (TIs) & Applications
TIs in Cylindrical & Spherical Coordinates
Change of Variables: Jacobians
Vector Fields
Line Integrals
14.5
14.6
14.7
14.8
15.1
15.2
WEEK # 7
Tue July 17, 2012
Thu July 19, 2012
EXAM # 3
Conservative Vectors Fields & Independence of Path
Green’s Theorem
Parametric surfaces
15.3
15.4
15.5
WEEK # 8
Tue July 24, 2012
Thu July 26, 2012
Surface Integrals
Divergence Theorem
Stokes’s Theorem
15.6
15.7
15.8
FINAL EXAM
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