Green's, Stokes', and the divergence theorems Stokes' theorem videos: Integrating multivariable functions Double integrals articles: The contributions of the various assignments to the final grade are as follows:. Conservative fields, finding potentials, independence of path, FTC for those fields. How would you like to proceed? We will also be converting the original Cartesian limits for these regions into Spherical coordinates. Submission of a quiz sheet on behalf of another student or signing the rubric under the name of another student on any attendance sheet will be considered a serious violation of course policies. 
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Video 5 minutes 36 seconds 5: With surface integrals we will be integrating over the surface of a solid. It gives us the tools to break free from the constraints of one-dimension, using functions to describe space, and space to describe functions.
Multivariable calculus
Div and Curl in 3D. Make-ups can be given to students that comply with the Excused Absence Policy above for the day of the exam. Cylindrical coordinates We integrate over regions in cylindrical coordinates. The quizzes will be given during your regular lecture time on randomly chosen days. Surface Area — In this section we will show how a double integral can be used to determine the surface area of the portion of a surface 33 is over a calclu in two dimensional space.
The prerequisite is enforced throughout all sections of the course without exceptions. Surface area We compute surface area with double integrals.
Derivatives of multivariable functions Partial derivatives of vector-valued functions: All appeals must be made before caclux on the last day of classes! You may calclyx to download the notes to use as a reference while watching the lecture video, or for later reference. Differentiating vector-valued functions articles: Formal definitions of div and curl optional reading: Functions of several variables We introduce functions that take vectors or points as inputs and output a number.
We will also discuss how to find potential functions for conservative vector fields. MyLabMath homework consists of a selection of problems for a particular section of the book.
The TAs will take attendance in each problem session starting from week 3. Derivatives of multivariable functions Divergence and curl articles: Parameterizing by arc length We find a new description of curves that trivializes arc length computations.
We recommend that you do MyMathLab assignment before taking on the more involved written homework problems. The class involves three hours of lectures on MWF, and one hour on T or Th of problem solving session. Line integrals of scalar functions; Integrals of fields, circulation, flux, work of force. Repeated offenders will receive an F for the course and will also be reported to the Office of the Dean.
The instructor may choose to take attendance at the beginning of each lecture, by means of an attendance sheet listing all the students registered in the class.
Calculus and vector-valued functions With one input, and vector outputs, we work component-wise. Quadric Surfaces — In this section we will be looking at some examples of quadric surfaces. Math Calculus 3 Lecture Videos These lecture videos are organized in an order that corresponds with the current book we are using for our Math, Calculus 3, courses Calculus, with Differential Czlclux, by Varberg, Purcell and Rigdon, 9th edition published by Pearson.
Calculus 3 - Ximera
Two midterms will be given on Thursdays of weeks 6 and 10 of the semester, and one final on the week following the last week of classes. Students that know ahead of time that they have an existing or potential conflict with the class must inform their instructor using the absence appeals form if this link is broken then the form can be found on Blackboard under Course Information.
Functions of 2 variables, graphs, level curves; functions of 3 variables, level surfaces. Discussion of course policies; vectors on plane; vectors in space. Applications of multivariable derivatives Constrained optimization articles: Green's, Stokes', and the divergence theorems Green's theorem videos: Green's, Stokes', and the divergence theorems Types of regions in three dimensions:
