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Mat 023 Calculus III is a Math course at Lehigh taught by the following professor: Joseph Yukich. 3 elite notetakers have produced one study material for this Math course.
These notes cover the first topics introduced in Calculus 3. Include 3-dimensional coordinate system, planes, spheres, distances, and vectors.
These notes cover everything that was brought up in week 2 of Calculus III. Topics include introduction to vectors, vector properties, cross and dot product, area, and volume of such. It also includes projection, and proofs of projection vectors. The fifth lecture includes lines in space and how they relate to parametric equations. This is vital as it serves as the foundation for the rest of Calcul
This weeks concludes vectors and introduces the concept of intersecting points with planes and normals. The majority of the material covers new topics such as conic sections and quadric surfaces. We learn how to sketch the latter two in three dimensions. In addition, content covers space curves which have applications of both vectors and quadrics.
In this week, we wrap up the discussion of space curves. Furthermore, we learn the properties of tangent vectors, differentiating space curves, and integration. Other properties of the space curves include finding the arc length, parametrizing, and curvatures of space curves. We then revisit vectors and discuss the properties once again such as differentiating and integration. We conclude the week
We still touch base on space curves. In addition to that, we move into the study of functions of multiple variables. Instead of the usual f(x) notation, we use the f(x,y) instead. This gives us a sense
This study guide covers all topics and concepts up to Friday February 26's lecture. Everything from 3-D graphing, spheres, vectors, kinematics, conics, quadrics, space curves, lines in space, and differentiation. You know the name of the game. Study hard!
The topics that are covered in these two lectures are tangent planes, linear approximation, and differentials. Applications of these are used to find approximate rate of changes.
This week covers directional derivatives, maximization of directional derivatives, tangent planes to surfaces, maximum and minimum tests, and the LaGrange multiplier,
This week's lectures cover finding the volumes of arbitrary solids, double integrals, applications of double integrals, volumes, and polar coordinate substitution.
This week in lectures, we continue with our applications of double integrals, volumes. Also, we touch base on mass, moment of inertia, and center of masses. In addition, we start talking about surface areas, and triple integrals.
These notes cover what's going to be on the next exam. Keep in mind it's not the end all be all. Topics include gradients, multipliers, double integrals, triple integrals, and the applications of such. Mainly to find surface areas and volume.
This is a continuation and application of triple integrals. We further examine the cylindrical and spherical coordinated and how they help us find surface area and volume.
This entails all of chapter 16 since that is going to be half of the final. Stokes, green's, surface areas, divergence, and curl.
This is the study guide for the first Calc 3 exam
Mainly vectors in 3D
These notes are from Week 1:
Recitation and 2 Lectures
Recitation notes and 2 days of lecture.
2 days of lecture notes.
2 days of lecture notes.
Chapters 14 and 15