Category: Homework
A series of free Calculus Video Lessons.
MultiVariable Calculus - Implicit Function Theorem
This video shows how to find partial derivatives of an implicitly defined multivariable function using the Implicit Function Theorem.
MultiVariable Calculus - Implicit Differentiation
This video points out a few things to remember about implicit differentiation and then find one partial derivative.
MultiVariable Calculus - Implicit Differentiation - Ex 2
Multivariable Calculus: Showing a Limit Does NOT Exist
This video discusses what it means for a limit not to exist and does one example showing that the limit does not exist.
Multivariable Calculus: Finding and Sketching the Domain
Finding and Sketching the Domain of a function z = f(x,y).
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01:640:251 Multivariable Calculus (4)
Analytic geometry of three dimensions, partial derivatives, optimization techniques, multiple integrals, vectors in Euclidean space, and vector analysis.
Prerequisite: CALC2 (Math 152, 154, or 192).
(The third edition will be introduced for Math 251 in Fall 2016.)
Standard Syllabus, Homework, and Maple Labs Getting HelpFor previous semesters see the archive.
Disclaimer: Posted for informational purposes onlyThis material is posted by the faculty of the Mathematics Department at Rutgers New Brunswick for informational purposes. While we try to maintain it, information may not be current or may not apply to individual sections. The authority for content, textbook, syllabus, and grading policy lies with the current instructor.
Information posted prior to the beginning of the semester is frequently tentative, or based on previous semesters. Textbooks should not be purchased until confirmed with the instructor. For generally reliable textbook information—with the exception of sections with an alphabetic code like H1 or T1, and topics courses (197,395,495)—see the textbook list.
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Office. MSB 202
Phone. (860) 486 9153
Office Hours. T, Th 1:45-2:45 and by appointment
Open Door Policy: You are welcome to drop by to discuss any aspect of the course, anytime, on the days I am on campus-- Tuesdays and Thursdays.
Class Meeting Times/Place
Tuesday, Thursday 11:00-12:15, Classroom MSB 315
Monday 11:00-11:50, Classroom MSB 415
Textbook. Multivariable Calculus - Early Transcendentals, by James Stewart, 6th edition
(Note: We will not use the online homework system and you need not purchase access to it.)
This course extends the concepts learned in Calculus for functions in one variable to functions involving several variables. This includes the study of two and three dimensional vector algebra; limits, differentiation, and integration of functions of several variables; vector differential calculus; and line and surface integrals.
Homework will be assigned after every section, discussed in class on Mondays, collected on Tuesdays, and returned the following class. Solutions to selected homework exercises will be handed out at that time. For that reason, late homework will not usually be accepted. Homework assignments consist of individual practice exercises from the textbook (see Syllabus below) and occasional group projects. You are encouraged to work with other students in this class on all your homework assignments. Group projects, one report per group, will be graded for exam points. Textbook homework assignments, handed in individually, will not be graded, but will carry exam points (this will be explained in more details in class).
You will need to show your work on exams and homework assignments, but may use graphic calculators, in all cases, to double check your answers and save time on routine calculations. The recommended graphic calculator is TI83 (best value for the money) but others will do as well. Note that symbolic calculators, for example TI89, are not allowed on exams by the mathematics department calculator policy.
There will be two in-class exams during the semester and a Final exam. None is strictly cumulative, but there will be overlap of material between the exams. NO MAKE-UP EXAMS unless there is a very serious emergency for which you provide proof. Quizzes will be given only if necessary.
Exam Guidelines
(a link to each exam guidelines will appear in the week before each exam)
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Course Features Course DescriptionThis course covers differential, integral and vector calculus for functions of more than one variable. These mathematical tools and methods are used extensively in the physical sciences, engineering, economics and computer graphics.
Course FormatsThe materials have been organized to support independent study. The website includes all of the materials you will need to understand the concepts covered in this subject. The materials in this course include:
Denis Auroux
Arthur Mattuck
Jeremy Orloff
John Lewis
Heidi Burgiel
Christine Breiner
David Jordan
Joel Lewis
Single and Multivariable Calculus
David Farmer, Albert Schueller, and David Guichard
Online | NA Pages | English
This note explains the following topics: Analytic Geometry, Instantaneous Rate of Change: The Derivative, Rules for Finding Derivatives, Transcendental Functions, Curve Sketching, Applications of the Derivative, Integration, Techniques of Integration, Applications of Integration, Polar Coordinates, Parametric Equations, Sequences and Series, Vector Functions, Partial Differentiation, Multiple Integration, Vector Calculus, Differential Equations.
This note covers the following topics: Vectors and the geometry of space, Directional derivatives, gradients, tangent planes, introduction to integration, Integration over non-rectangular regions, Integration in polar coordinates, applications of multiple integrals, surface area, Triple integration, Spherical coordinates, The Fundamental Theorem of Calculus for line integrals, Green's Theorem, Divergence and curl, Surface integrals of scalar functions, Tangent planes, introduction to flux, Surface integrals of vector fields, The Divergence Theorem.
This lecture note is really good for studying Multivariable calculus. This note contains the following subcategories Vectors in R3, Cylinders and Quadric Surfaces, Partial Derivatives, Lagrange Multipliers, Triple Integrals, Line Integrals of Vector Fields. The Fundamental Theorem for Line Integrals ,Green�s Theorem. The Curl and Divergence of a Vector Field, Oriented Surfaces. Stokes� Theorem and The Divergence Theorem
This is an online resource on multivariable calculus. This deals with following topics, Fundamental Theorems, Capstone and The Inverse Square Law