Math 2433 - Calculus III - University of Houston

# Math 2433 - Calculus III

Section number: This information applies to all sections.

Delivery format: face-to-face lecture or online.

Prerequisites: MATH 1432

Course Description: Calculus of functions of several variables: calculus of vector-valued functions, partial differentiation, multiple integrals. *Note: TCCNS Equivalent: MATH 2415

Textbook: Calculus, 9th Edition, by Salas, Hille, and Etgen, Wiley. Available in electronic form (PDF) through CASA for all enrolled students via an Access Code.

The information contained in this class outline is an abbreviated description of the course.  Additional important information is contained at your instructor’s personal webpage. You are responsible for knowing all of this information.

Syllabus

Chapter 11. VECTORS

Section 11.1 Cartesian Space Coordinates
Section 11.2 Vectors
Section 11.3 The Dot Product
Section 11.4 The Cross Product
Section 11.5 Lines 11.6 Planes

Chapter 12. VECTOR CALCULUS

Section 12.1 Vector Functions
Section 12.2 Differentiation Formulas
Section 12.3 Curves
Section 12.4 Arc Length
Section 12.5 Curvilinear Motion; Curvature

Chapter 13. FUNCTIONS OF SEVERAL VARIABLES

Section 13.1 Basic Terms and Examples
Section 13.2 Graphs; Level Curves and Level Surfaces
Section 13.3 Limits and Continuity
Section 13.4 Partial Derivatives

Chapter 14. GRADIENTS; EXTREME VALUES; DIFFERENTIALS

Section 14.2 Gradients and Directional Derivatives
Section 14.3 The Mean-Value Theorem; Chain Rules
Section 14.4 The Gradient as a Normal; Tangent Lines and Tangent Planes
Section 14.5 Local Extreme Values
Section 14.6 Absolute Extreme Values
Section 14.7 LaGrange Multipliers; Maxima and Minima with Side Conditions
Section 14.8 Increments and Differentials
Section 14.9 Reconstructing a Function from Its Gradient

Chapter 15. DOUBLE AND TRIPLE INTEGRALS

Section 15.1 Double Integrals
Section 15.2 The Evaluation of Double Integrals by Repeated Integrals
Section 15.3 Evaluating Double Integrals Using Polar Coordinates
Section 15.4 Some Applications of Double Integration
Section 15.5 Triple Integrals
Section 15.6 Reduction to Repeated Integrals
Section 15.7 Cylindrical Coordinates
Section 15.8 Spherical Coordinates
Section 15.9 Jacobians; Changing Variables in Multiple Integration

Chapter 16. LINE INTEGRALS AND SURFACE INTEGRALS

Section 16.1 Line Integrals
Section 16.2 The Fundamental Theorem for Line Integrals
Section 16.3 Line Integrals With Respect to Arc Length
Section 16.4 Green’s Theorem
Section 16.5 Parameterized Surfaces; Surface Area
Section 16.6 Surface Integrals
Section 16.7 The Vector Differential Operator
Section 16.8 The Divergence Theorem
Section 16.9 Stokes’s Theorem

CSD Accommodations:

Accommodation Forms: Students seeking academic adjustments/auxiliary aids must, in a timely manner (usually at the beginning of the semester), provide their instructor with a current Student Accommodation Form (SAF) (paper copy or online version, as appropriate) from the CSD office before an approved accommodation can be implemented.

Details of this policy, and the corresponding responsibilities of the student are outlined in The Student Academic Adjustments/Auxiliary Aids Policy (01.D.09) document under [STEP 4: Student Submission (5.4.1 & 5.4.2), Page 6]. For more information please visit the Center for Students with Disabilities Student Resources page.

Additionally, if a student is requesting a (CSD approved) testing accommodation, then the student will also complete a Request for Individualized Testing Accommodations (RITA) paper form to arrange for tests to be administered at the CSD office. CSD suggests that the student meet with their instructor during office hours and/or make an appointment to complete the RITA form to ensure confidentiality.

*Note: RITA forms must be completed at least 48 hours in advance of the original test date. Please consult your counselor ahead of time to ensure that your tests are scheduled in a timely manner. Please keep in mind that if you run over the agreed upon time limit for your exam, you will be penalized in proportion to the amount of extra time taken.

UH CAPS

Counseling and Psychological Services (CAPS) can help students who are having difficulties managing stress, adjusting to college, or feeling sad and hopeless. You can reach (CAPS) by calling 713-743-5454 during and after business hours for routine appointments or if you or someone you know is in crisis. No appointment is necessary for the "Let's Talk" program, a drop-in consultation service at convenient locations and hours around campus.