21-259 Calculus in Three Dimensions


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Schedule and Homework

For each week there will be a link to a page with a reading assignment and a homework assignment. This schedule is tentative. It will get more accurate as the semester progresses. No week's topics should be taken as final until the homework is linked.

Week #1:
Jan 16 - 20
Assignments M: Martin Luther King Day. No class.
W: Three-Dimensional Coordinate Systems (12.1)
F: Class will not meet on Friday, January 20.

Week #2:
Jan 23 - 27
Assignments M: Vectors (12.2)
W: The Dot Product (12.3)
F: The Cross Product (12.4)

Week #3:
Jan 30 - Feb 3
Assignments M: Equations of Lines and Planes (12.5)
W: Cylinders and Quadratic Surfaces (12.6)
F: Vector Functions and Space Curves (13.1-13.2)

Week #4:
Feb 6 - 10
Assignments M: Arc Length and Curvature (13.3)
W: Motion in Space: Velocity and Acceleration (13.4)
F: Functions of Several Variables (14.1)

Week #5:
Feb 13 - 17
Assignments
Exam Review M: Limits and Continuity (14.2)
W: Partial Derivatives (14.3)
F: Exam #1 is scheduled for Friday, February 17, at 7:30am.
F: (Makeup Lecture) Tangent Planes and Linear Approximations (14.4)

Week #6:
Feb 20 - 24
Assignments M: The Chain Rule (14.5)
W: Directional Derivatives and the Gradient Vector (14.6)
F: Directional Derivatives and the Gradient Vector (14.6)

Week #7:
Feb 27 - Mar 3
Assignments M: Maximum and Minimum Values (14.7)
W: Lagrange Multipliers (14.8)
F: Lagrange Multipliers [Continued] (14.8)

Week #8:
Mar 6 - 10
Assignments M: Double Integrals over Rectangles (15.1)
W: Double Integrals over General Regions (15.2)
F: Mid-Semester Break. No Class.

Spring Break:
Mar 13 - 17 Spring Break!

Week #9:
Mar 20 - 24
Assignments
Exam Review M: Double Integrals in Polar Coordinates (15.3)
W: Surface Area (15.5)
F: Exam #2 is scheduled for Friday, March 24 at 7:30am.

Week #10:
Mar 27 - 31
Assignments M: Triple Integrals (15.6)
W: Determining Limits of Integration
F: Triple Integrals in Cylindrical and Spherical Coordinates (15.7 - 15.8)

Week #11:
Apr 3 - 7
Assignments M: Change of Variables in Multiple Integrals (15.9)
W: Vector Fields (16.1)
F: Line Integrals (16.2)

Week #12:
Apr 10 - 14
Assignments
Exam Review M: The Fundamental Theorem for Line Integrals (16.3)
W: Green's Theorem (16.4)
R: Exam #3 is scheduled for Thursday, April 13 at 7:30am.
F: Curl and Divergence (16.5)

Week #13:
Apr 17 - 21 M: Parametric Surfaces and Their Areas (16.6)
W: No Class, to make up for out of class time Exam #3.
F: Spring Carnival. No class.

Week #14:
Apr 24 - 28
Homework M: Surface Integrals (16.7)
W: Stokes' Theorem (16.8)
F: The Divergence Theorem (16.9)

Week #15:
May 1 - 5
Homework M: Summary (16.10)
W:
F:

Final Exam
Exam Review The Final Exam has been scheduled for Tuesday, May 9, from 8:30-11:30am. in CUC McConomy. Please take this into account when making your travel plans.

Week #1: Jan 16 - 20 Assignments	M: Martin Luther King Day. No class. W: Three-Dimensional Coordinate Systems (12.1) F: Class will not meet on Friday, January 20.
Week #2: Jan 23 - 27 Assignments	M: Vectors (12.2) W: The Dot Product (12.3) F: The Cross Product (12.4)
Week #3: Jan 30 - Feb 3 Assignments	M: Equations of Lines and Planes (12.5) W: Cylinders and Quadratic Surfaces (12.6) F: Vector Functions and Space Curves (13.1-13.2)
Week #4: Feb 6 - 10 Assignments	M: Arc Length and Curvature (13.3) W: Motion in Space: Velocity and Acceleration (13.4) F: Functions of Several Variables (14.1)
Week #5: Feb 13 - 17 Assignments Exam Review	M: Limits and Continuity (14.2) W: Partial Derivatives (14.3) F: Exam #1 is scheduled for Friday, February 17, at 7:30am. F: (Makeup Lecture) Tangent Planes and Linear Approximations (14.4)
Week #6: Feb 20 - 24 Assignments	M: The Chain Rule (14.5) W: Directional Derivatives and the Gradient Vector (14.6) F: Directional Derivatives and the Gradient Vector (14.6)
Week #7: Feb 27 - Mar 3 Assignments	M: Maximum and Minimum Values (14.7) W: Lagrange Multipliers (14.8) F: Lagrange Multipliers [Continued] (14.8)
Week #8: Mar 6 - 10 Assignments	M: Double Integrals over Rectangles (15.1) W: Double Integrals over General Regions (15.2) F: Mid-Semester Break. No Class.
Spring Break: Mar 13 - 17	Spring Break!
Week #9: Mar 20 - 24 Assignments Exam Review	M: Double Integrals in Polar Coordinates (15.3) W: Surface Area (15.5) F: Exam #2 is scheduled for Friday, March 24 at 7:30am.
Week #10: Mar 27 - 31 Assignments	M: Triple Integrals (15.6) W: Determining Limits of Integration F: Triple Integrals in Cylindrical and Spherical Coordinates (15.7 - 15.8)
Week #11: Apr 3 - 7 Assignments	M: Change of Variables in Multiple Integrals (15.9) W: Vector Fields (16.1) F: Line Integrals (16.2)
Week #12: Apr 10 - 14 Assignments Exam Review	M: The Fundamental Theorem for Line Integrals (16.3) W: Green's Theorem (16.4) R: Exam #3 is scheduled for Thursday, April 13 at 7:30am. F: Curl and Divergence (16.5)
Week #13: Apr 17 - 21	M: Parametric Surfaces and Their Areas (16.6) W: No Class, to make up for out of class time Exam #3. F: Spring Carnival. No class.
Week #14: Apr 24 - 28 Homework	M: Surface Integrals (16.7) W: Stokes' Theorem (16.8) F: The Divergence Theorem (16.9)
Week #15: May 1 - 5 Homework	M: Summary (16.10) W: F:
Final Exam Exam Review	The Final Exam has been scheduled for Tuesday, May 9, from 8:30-11:30am. in CUC McConomy. Please take this into account when making your travel plans.