Time: MTWR 9:00-11:15
Location: Hylan 1106B
Instructor: Keping Huang
Email: keping dot huang at rochester dot edu
Office Hour: Mondays, Wednesdays, and Thursdays 11:15-12:15 at Hylan 713
- Class begins on May 21.
Textbook: 8th edition of Calculus: Early Transcendentals by James Stewart.
Course Contents: Curves and surfaces in 3-dimensional space, multivariable differential and maxima/minima, double and triple integrals, line and surface integrals.
This course requires time commitment. Proficiency will be achieved only by massive problem solving. Please take full advantage of my office hours.
Your grade for the course will be based on the following:
WeBWorK Assignments: 30%,
Midterm Exam 1: 20%,
Midterm Exam 2: 20%,
Final Exam: 30%.
The course average is not based on a curve, nor on previously fixed scales. It will reflect how well the class is doing, and it will be high if everyone is working hard on WebWork and is performing well on exams.
Incomplete “I” grades are almost never given. The only justification is a documented serious medical problem or a genuine personal/family emergency. Falling behind in this course or problems with workload on other courses are not acceptable reasons.
If you miss the Midterm with a valid excuse (e.g., illness or emergency), you must notify the instructor and provide supporting documentation verifying your excuse as soon as possible. For a valid excuse with supporting documentation, the Final will count as your make-up test (i.e., the Final will count towards 50% of your grade). If you miss the Final, you are in trouble. No make-up exams will be given for any reason. If you miss an exam without a valid excuse (and supporting documentation), you will receive a score of 0 on that test.
You are responsible for knowing and abiding by the University of Rochester’s academic integrity code. Any violation of academic integrity will be pursued according to the specified procedures.
The exact schedule is subject to change. Suggested problems are taken from the 8th edition of the textbook as are the section numbers. (Last Update: 05/15/18 Tuesday)
Remark: I highly suggest that, time permitting, you do as many of the red-numbered problems as possible in each section. If you can do these, you’ve essentially mastered the material and should be well-prepared for almost anything that appears on the exams. Additional suggested problems (from the 8th edition) are listed below.
|Date||Topics||Suggested Book Problems|
|May 20 (Mon)||12.1 Three-Dimensional Coordinate Systems||5,11,15,27,31,37,41,45|
|May 21 (Tue)||12.3 The dot product||1,3,5,9,13,15,19,21,23,33,39,41,49,51,55,57|
|12.4 The cross product||1,3,9,13,15,17,27,29,33,37,39,41|
|May 22 (Wed)||12.5 Equations of Lines and Planes||1,3,7,13,17,19,21,23,27,31,45,51,53,61|
|12.6 Cylinders and Quadric Surfaces||1,3,5,7,21,23,25,27|
|May 23 (Thu)||13.1 Vector Functions and Space Curves||3,5,7,13|
|13.2 Derivatives and Integrals of Vector Functions||11,19,25,27,33,35,49,51,55|
|May 27 (Mon)||13.3 Arc Length and Curvature||5,17,24,59|
|13.4 Motion in space: Velocity and Acceleration||9,11,21,23|
|May 28 (Tue)||14.1 Functions of Several Variables||9,19,61,63|
|14.2 Limits and Continuity||5,9|
|May 29 (Wed)||14.3 Partial Derivatives||15,21,53,75,87,91,93,95|
|14.4 Tangent Planes and Linear Approximations||3,17,19,25|
|May 30 (Thu)||14.5 The Chain Rule||1,7,13,35,39|
|14.6 Directional Derivatives and the gradient vector||5,7,11,19,33|
|June 3 (Mon)||14.7 Maximum and Minimum Values||3,5,7,31,33,41,45,51|
|June 4 (Tue)||14.8 Lagrange Multipliers||3,5,17,19|
|June 5 (Wed)||15.1 Double Integrals over Rectangles||3,7,9,15,17,21,33|
|15.2 Iterated Integrals||1,7,13,15,17,23,25,45,47,51|
|15.3 Double Integrals over General Regions||5,7,9,13,15,19,29|
|June 6 (Thu)||Midterm I (12.1 - 14.8)|
|June 10 (Mon)||15.4 Double Integrals in Polar Coordinates||1,3,5,7,11|
|15.5 Applications of Double Integrals||1,3,5,7,11|
|June 11 (Tue)||15.6 Triple Integrals||3,5,7,11,15|
|15.7 Triple Integrals in Cylindrical Coordinates||1,3,5,7,9,15,17|
|June 12 (Wed)||15.8 Triple Integrals in Spherical Coordinates||1,3,5,7,9,17,19,21|
|15.9 Change of Variables in Multiple Integrals||1,3,5,7,9,13,15,17,23|
|June 13 (Thu)||16.1 Vector Fields||7,9,11,15,21,29|
|16.2 Line Integrals||2,7,9,11,19,21,33|
|June 17 (Mon)||16.3 The Fundamental Theorem for Line Integrals||3,5,7,9,13,23|
|16.4 Green’s Theorem||1,3,5,13,19,21|
|June 18 (Tue)||16.5 Curl and Divergence||1,3,12,13,19,21,25,31|
|June 19 (Wed)||16.6 Parametric Surfaces and their Areas||1,3,5,19,21,23,33,39,43|
|June 20 (Thu)||16.7 Surface Integrals||5,7,9,21,23,27|
|June 24 (Mon)||16.8 Stokes’ Theorem||1,3,7,9|
|June 25 (Tue)||16.9 The Divergence Theorem||5,7,11,17,21,25,27|
|June 26 (Wed)||Review|
|June 27 (Thu)||Final @306 9:00-12:00|