Calculus III

1. SYLLABUS

        M W F @ 11:15 ~12:45      

COURSE TITLE:     Calculus III       

CREDIT:  4 semester hours.

PREREQUISITE:  MS 126 ( Calculus II, formerly 142) with a "C" or better

TEXT: Calculus Early Transcendental Functions (Third Edition)  by   Larson, Hostetler, Edwards

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.