Course Description 210 is the third and also the last part of our standard three-semester calculus sequence. The unique attribute of this part of the course is its focus on the multi-dimensional analysis, as opposed to one-dimensional analysis that students learned in 180 (Calculus I) and also 181 (Calculus II).

You watching: Calculus 3 online course summer 2017 210 focuses on crucial concepts such as that of a vector, a vector field, a role of a number of variables, partial derivative, a line-integral and also multi-variable integrals. The principles of the vector calculus use to numerous locations of human knowledge such as design, physics, pure fairtradeexpo.orgematics, biology, and many others.

Credit Awarded

3 hours


Calculus, Early Transcendentals, by W. Briggs and L. Cochran, third edition, and a access code.

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The course will go with Chapters 13-17.

A code have the right to be purchased virtual, or at the booksave, with or without the textbook. contains an digital version of the book.Unexpired codes deserve to be re-offered for for 210. To buy the code for the first time, there are two options: an accessibility which is valid for one semester, ISBN 9780135329221, or an access code which is valid for multiple semesters, ISBN 9780135329276.

One need to note that just these ISBNs will work via your course. Books with Myfairtradeexpo.orgLab access acquired from Amazon or various other sources the majority of likely won’t work.

The adhering to is a typical 15-week Fall or Spring semester schedule for 210. During the Summer sessions, the schedule is condensed right into 8 weeks.A topic marked by * might be spanned briefly for one or more of the following reasons: it is comparable to an additional one spanned previously; it is of less prominence for future advance of the course material; it is reasonably simple and also might be provided as a analysis assignment; it is too progressed at the initially analysis. Please follow instructions in your class pertaining to these topics. Sections Topics
Week 1 Sec 13.1-13.3 Discussion of course plans Vectors on Place, Vectors in SpaceDistance, Spright here Dot Product, Work of Force
Week 2 Sec 13.4-13.5 Cross Product, TorqueVector and also Parametric Equations of a LineEquations of Planes Distance from a Point to a Line
Week 3Sec 13.6, 14.1-14.3 Cylinders, Quadratic SurfacesVector-Valued Functions and also their Calculus Physical Concepts of Motion (Velocity, Acceleration, Speed) Using Vetor Calculus Motion in a Gravitational Field*
Week 4Sec 14.4, 15.1, 15.2 Arc Length in Cartesian CoordinatesFunctions of 2 Variables, Graphs, Level Curves Functions of 3 Variables, Level Surfaces Calculus of Multivariable Functions, Limits, Two-Path Test
Week 5Sec 15.3-15.5 Partial First and Higher Order Derivatives, Clairaut Theorem, DifferentiabilityChain Rule, Implicit DifferentiationGradient, Directional Derivative
Week 6 Sec 15.5, 15.6, Midterm 1 Gradient, Directional Derivative, Applications*First Midterm Review Tangent Plane
Week 715.6, 15.7 Liclose to Approximation, DifferentialLocal Extrema, Critical Points, 2nd Derivative TestAbsolute Optimization
Week 8 Sec 15.8, 16.1, 16.2 The Method of Lagrange Multipliers, Optimization Problems, Extreme DistancesDouble Integral as a Volume, Over Rectangles Double Integrals over More General Regions Changing Order of Integration, Volumes of Regions Between 2 Surdeals with, Area of a Plane Region Using Double Integrals
Week 9 Sec 16.3-16.5 Double Integral in Polar CoordinatesTriple Integrals, Volumens and Masses of Solids Triple Integrals in Cylindrical Coordinates, Emphasis on Examples
Week 10 Sec 16.5, Midterm 2 Triple Integrals in Cylindrical CoordinatesResee for Midterm Triple Integrals in Spherical Coordinates
Week 11 Sec 16.6*, 16.7, 17.1 Center of Mass Formulae*Plane Transformations, Jacobian, Change of Variables Vector Fields, Radial, Gradient, Potential
Week 12 Sec 17.2, 17.3 Line Integrals of Scalar FunctionsIntegrals of Fields, Circulation, Flux, Work of Force Conservative Fields, Finding Potentials, Independence of Path, FTC for those Fields
Week 13 Sec 17.4 Green"s Theorem in the circulation and Flux Form Finding Areas Using GT
Week 14 17.5, 17.6 Div and Curl in 3D Surface Integrals of Scalar Functions, Surchallenge Area Elements in Spherical, Cylindrical, and Graph Cases Flux of a Vector Field with a Surchallenge, Physical Examples
Week 15 17.7, 17.8 Stoke"s Theorem as a 3D Analogues to 2D Green"s Theorems in Circulation Form. The Aberration Theorem as a 3D Analogue to 2D Green"s Theorems in Flux Form Rewatch for the Final Exam
Week 16 Finals" Week Cumulative Final Exam