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Multivariable calculus final exam
Multivariable calculus final exam










Lecture 26: Parametric Surfaces (Notes 4.2.1) Lecture 22: Areas, Volumes, Masses, and Moments (Notes 3.4.1-3.4.2) Lecture 21: More Cylindrical and Spherical + Areas, Volumes (Notes 3.3.3-3.4.1) Lecture 20: Triple Integrals in Cylindrical and Spherical (Notes 3.3.3-3.3.4) Lecture 19: Change of Coordinates, Cylindrical Coordinates (Notes 3.3.1 + 3.3.3) Lecture 18: Triple Integrals in Rectangular Coordinates (Notes 3.2) Lecture 17: Double Integrals in Polar Coordinates (Notes 3.3.2)

multivariable calculus final exam

Lecture 16: Computing Double Integrals (Notes 3.1.2-3.1.3) Lecture 14: Lagrange Multipliers (Notes 2.6) Lecture 11: Optimization on a Region (Notes 2.5.2) Lecture 10: Critical Points, Minima + Maxima (Notes 2.5.1) Lecture 9: The Chain Rule + Implicit Differentiation (Notes 2.3) Lecture 8: Tangent Lines and Planes, Linearization (Notes 2.2.2 + 2.4.1) Lecture 7: Directional Derivatives and Gradients (Notes 2.2.1) Lecture 6: Limits and Partial Derivatives (Notes 2.1) Lecture 5: Parametric Curves, Motion in 3-Space (Notes 1.3.1-1.3.2) Lecture 4: Lines and Planes, Vector-Valued Functions (Notes 1.2.4-1.3.1) Lecture 3: Cross Products, Lines and Planes (Notes 1.2.3-1.2.4) Lecture 2: Vectors + Dot Products (Notes 1.2.1-1.2.2) Lecture 1: Welcome + 3D Graphing (Notes 1.1) They will usually be posted ahead of the lecture time. These are the slides used during the lectures. (Note: any information given in class or on this webpage supersedes the written syllabus.)Īll homework assignments are available on the 2321 WeBWorK page.

multivariable calculus final exam

Links to all of the live lectures, office hours, problem sessions, and lecture recordings are hosted there.įor detailed information about the course, please consult the 2321 Course Syllabus. Math 2321 uses a Piazza page for course discussion. All lectures will be recorded and made available for on-demand viewing at any time. You are requested to attend your assigned lecture, but in the event you are not able, you are allowed to attend the other one (the lectures will cover the same content at the same pace). I am teaching two sections of Math 2321, corresponding to the two lecture times listed. Math 2321 (Multivariable Calculus), Spring 2021 If you are a Northeastern instructor and would like copies, please email me. Exams and solutions are no longer available here.

multivariable calculus final exam

Math 2321: Multivariable Calculus - Homepage This course page is now archived.












Multivariable calculus final exam