Calculus III
1. SYLLABUS
M W F @ 11:15 ~12:45
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COURSE TITLE: Calculus III |
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CREDIT: 4 semester hours. |
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PREREQUISITE: MS 126 ( Calculus II, formerly 142) with a "C" or better |
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TEXT: Calculus Early Transcendental Functions (Third Edition) by Larson, Hostetler, Edwards |
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PUBLISHER: Houghton Mufflin |
2. QUIZZES
| Quiz1 | Quiz2 | Quiz3 | Quiz4 | Quiz5 | Quiz6 | Quiz7 | Quiz8 | Quiz9 |
| Quiz10 | Quiz11 | Quiz12 | Quiz13 | Quiz14 |
3. Materials to be covered
Materials to be covered
Assigned Homework
9.2 Plane Curves and Parametric Equations 9.3 Parametric Equations and Calculus 9.4 Polar Coordinates and Polar Graphs 9.5 Area and Arc Length in Polar Coordinaties 10.5 Lines and Planes in Space 10.6 Surfaces in Space 10.7 Cylindrical and Spherical Coordinates *11.1 Vector & *11.2 Differentiation and Integration of Vector-Valued Functions
*11.3. Velocity and Acceleration /MAPLE SESSION
11.4 Tangent Vectors and Normal Vectors
11.5 Arc Length and Curvature
Review for TEST 1
TEST 1
12.1 Introduction to Functions of Several Variables & 12.2 Limits and Continuity
12.3 Partial Derivatives
12.4 Differentials
12.5 Chain Rules for Functions of Several Variables
12.6 Directional Derivatives and Gradients
12.7 Tangent Planes and Normal Lines
*12.8 Extrema of Functions of Two Variables & *12.9 Applications of Functions of Two Variables
*12.10 Lagrange Multipliers
13.1 Iterated Integrals and Area in the Plane
13.2 Double Integrals and Volume
13.3 Change of Variables: Polar Coordinates
Review for TEST 2
TEST 2
13.5 Surface Area
13.6 Triple Integrals and Applications
13.7 Triple Integrals in Cylindrical and Spherical Coordinates
*13.8 Change of Variables: Jacobians
14.1 Vector Fields
14.2 Line Integrals
14.3 Conservative Vector Fields and Independence of Path
14.4 Green's Theorem
*14.6 Surface Integrals
*14.7 Divergence Theorem
*14.8 Stokes's Theorem
Review for TEST 3
Test 3
Review for Final
Final Exam
* The sections with an asterisk may be omitted with regards to time constraints.
4. TESTS
5. EXTRA HOMEWORK PROBLEMS may be given in class.