Math 2433
Section 16071

Instructor: Rebecca George, 639 PGH, bekki@math.uh.edu.

Office Hours: 11:00 am - 12:45 pm MW in 639 PGH and online by appointment

Course Homepage: http://online.math.uh.edu/courses/math2433/

Course Learning Materials: The textbook, online quizzes, EMCF assignments, and additional help materials will be made available by logging into CourseWare at http://www.casa.uh.edu. These first portion of these materials are freely available for the first two weeks of class. All students must purchase a Course Access Code and enter it on CourseWare by the first day of the third week of class to continue accessing the course learning materials. A Course Access Code can be purchased for $47.35 from the University Bookstore. If you want a physical copy of the text for the course, then purchase CALCULUS: ONE AND SEVERAL VARIABLES, 9th edition. Authors: Salas/Hille/Etgen. Publisher: John Wiley & Sons, Inc. Note: You do not need to purchase a physical copy of this text. You will have access to the text electronically on CourseWare once you enter your Course Access Code. Also, even if you purchase a physical copy of the text, you will still need the Course Access Code to access the additional learning materials, including the online electronic quizzes and EMCF assignments.  No extensions will be given for assignments missed before your access code is entered at http://www.casa.uh.edu.

List of discussion/lecture topics:

Chapter 12. VECTORS

Section 12.1 Cartesian Space Coordinates
Section 12.2 Displacements and Forces
Section 12.3 Vectors
Section 12.4 The Dot Product
Section 12.5 The Cross Product
Section 12.6 Lines
Section 12.7 Planes

Chapter 13. VECTOR CALCULUS

Section 13.1 Vector Functions
Section 13.2 Differentiation Formulas
Section 13.3 Curves
Section 13.4 Arc Length
Section 13.5 Curvilinear Motion; Curvature

Chapter 14. FUNCTIONS OF SEVERAL VARIABLES

Section 14.1 Elementary Examples
Section 14.2 A Brief Catalogue of Quadric Surfaces; Projections
Section 14.3 Graphs; Level Curves and Level surfaces
Section 14.4 Partial Derivatives
Section 14.5 Open and Closed Sets
Section 14.6 Limits and Continuity; Equality of Mixed Partials

Chapter 15. GRADIENTS; EXTREME VALUES; DIFFERENTIALS

Section 15.1 Differentiability and Gradient
Section 15.2 Gradients and Directional Derivatives
Section 15.3 The Mean-Value Theorem; Chain Rules
Section 15.4 The Gradient as a Normal; Tangent Lines and Tangent Planes
Section 15.5 Local Extreme Values
Section 15.6 Absolute Exreme Values
Section 15.7 Maxima and Minima with Side Conditions
Section 15.8 Differentials
Section 15.9 Reconstructing a Function from its Gradient

Chapter 16. DOUBLE AND TRIPLE INTEGRALS

Section 16.2 The Double Integral
Section 16.3 The Evaluation of Double Integrals by Repeated Integrals
Section 16.4 Double Integrals in Polar Coordinates
Section 16.6 Triple Integrals
Section 16.7 Reduction to Repeated Integrals
Section 16.8 Triple Integrals in Cylindrical Coordinates
Section 16.9 The Triple Integral as a Limit of Riemann Sums; Spherical Coordinates
Section 16.10 Jacobians; Changing Variables in Multiple Integration

Chapter 17. LINE INTEGRALS AND SURFACE INTEGRALS

Section 17.1 Line Integrals
Section 17.2 The Fundamental Theorem for Line Integrals
Section 17.3 Work-Energy Formula; Conservation of Mechanical Energy
Section 17.4 Line Integrals with Respect to Arc Length
Section 17.5 Green's Theorem
Section 17.6 Parameterized Surfaces; Surface Area
Section 17.7 Surface Integrals
Section 17.8 The Vector Differential Operator
Section 17.9 The Divergence Theorem
Section 17.10 Stokes's Theorem

Homework:  Written homework will be turned in online on CourseWare under "Assignments".  To submit written homework, you must scan or take a picture of your homework and upload it as an image or pdf file.  Multiple-choice homework will be answered under "EMCF" tab on CourseWare.  All homework assignments will be posted on the class webpage.

Daily Poppers: Daily grades will be given in lecture and in lab beginning the first week of classes.  There will be multiple choice questions given in both lecture and lab notes to be answered under EMCF on CASA.  See http://www.casa.uh.edu for all due dates.

Online Quizzes: At least one online quiz will be given each week. You can attempt these quizzes up to 20 times, and the highest grade will be used for your score. You can access the quizzes by logging into CourseWare at  http://www.casa.uh.edu.  Quizzes will not reopen once they have closed.

Exams: There will be three exams and a final exam for this class.  All exams will be given in CASA (located on the second floor of Garrison). You can access the scheduler for these exams by logging into CourseWare at http://www.casa.uh.edu. The exams given in CASA will consist of both multiple choice and written questions. The multiple choice questions will be machine graded. The scheduler will be available approximately 2 weeks prior to the start of the exam cycle.  Students who live more than 100 miles from campus will need to contact the distance education department ( http://www.uh.edu/distance/student-resources/proctoring/) to set up remote exam proctoring.

Final Exam: A comprehensive final exam will be given in CASA. You can access the scheduler for this exam by logging into CourseWare at http://www.casa.uh.edu. 

Grades:
Lecture and Lab Poppers - 10%
Online Quizzes - 10%
Homework (written and EMCF) - 10%
Exams 1, 2 and 3 - 45% (15% each)
Final Exam - 25%

Note: The percentage grade on the final exam can be used to replace your lowest test score.

90% and above - A
at least 80% and below 90%- B
at least 70% and below 80% - C
at least 60% and below 70% - D
below 60% - F

Whenever possible, and in accordance with 504/ADA guidelines, we will attempt to provide reasonable academic accommodations to students who request and require them.