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MIT 18 02 Multivariable Calculus

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MIT - 18.02 - Multivariable Calculus

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/Assignments/Assignments/

Problem Set 3.pdf

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Problem Set 4.pdf

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Problem Set 1.pdf

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Problem Set 8.pdf

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Problem Set 11.pdf

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Problem Set 5.pdf

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Problem Set 7.pdf

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Problem Set 9.pdf

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Problem Set 6.pdf

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Problem Set 10.pdf

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Problem Set 12.pdf

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Problem Set 2.pdf

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/.../Supplementary Notes and Problems/Part I Notes/

Matrices and linear algebra.pdf

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Non-independent variables.pdf

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Changing variables in multiple integrals.pdf

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The tangent approximation.pdf

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Second derivative test.pdf

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Limits in iterated integrals.pdf

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Determinants.pdf

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Least squares interpolation.pdf

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Partial differential equations.pdf

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Kepler's second law.pdf

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Gravitational attraction.pdf

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/.../Part II Vector Integral Calculus/

Surface integrals.pdf

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Stokes' theorem.pdf

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Laplace's equation and harmonic functions.pdf

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Plane vector fields.pdf

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Relation to physics.pdf

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Some topological questions.pdf

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Simply-connected regions.pdf

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Multiply-connected regions; topology.pdf

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Green's theorem in normal form.pdf

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The divergence theorem.pdf

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Gradient fields and exact differentials.pdf

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Gradient fields in space.pdf

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Line integrals in space.pdf

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Two-dimensional flux.pdf

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Vector fields in space.pdf

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/.../Part III Exercises/Problems/

Vectors and matrices.pdf

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Partial differentiation.pdf

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Vector integral calculus in space.pdf

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Line integrals in the plane.pdf

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Double integrals.pdf

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Triple integrals.pdf

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/.../Part III Exercises/Solutions/

Solutions - Partial differentiation.pdf

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Solutions - Vectors and matrices.pdf

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Solutions - Vector integral calculus in space.pdf

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Solutions - Line integrals in the plane.pdf

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Solutions - Triple integrals.pdf

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Solutions - Double integrals.pdf

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/Assignments/

MATLAB® Instructions.pdf

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vector_fields.pdf

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vec_int_calc_sol.pdf

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prac2b.pdf

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stokes_theorem.pdf

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multipl_integrls.pdf

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prac4asol.pdf

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prac2a.pdf

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relation_to_phy.pdf

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prac1a.pdf

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determinants.pdf

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double_integrals.pdf

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prac1b.pdf

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prac3b.pdf

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topological_ques.pdf

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matrices_algebra.pdf

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2nd_derivative.pdf

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prac2asol.pdf

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grad_fld_n_diff.pdf

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prac4a.pdf

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/.../18-02Fall-2007/Assignments/

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/.../18-02Fall-2007/LectureNotes/

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18_02-2007-L15.pdf.xml

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18_02-2007-L14.pdf.xml

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ExternalResources.txt

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/.../18-02Fall-2007/OcwWeb/search/

AdvancedSearch.htm

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/.../18-02Fall-2007/OcwWeb/style/

common.css

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global.css

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courses.css

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/.../18-02Fall-2007/OcwWeb/web/terms/terms/

index.htm

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/.../18-02Fall-2007/OcwWeb/web/terms/trademarks/

index.htm

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/.../18-02Fall-2007/

ReadMe.txt

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Welcome.htm

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/Course Materials/

18-02Fall-2007.zip

20.7 MB

imsmanifest.xml

131.5 KB

/Lecture Notes/

Lecture 26, 27 and 28 - Week 11 summary.pdf

222.6 KB

Lecture 18, 19 and 20 - Week 8 summary.pdf

222.0 KB

Lecture 21, 22 and 23 - Week 9 summary.pdf

214.8 KB

Lecture 30, 31 and 32 - Week 13 summary.pdf

207.9 KB

Lecture 25 - Week 10 summary.pdf

202.7 KB

Lecture 24 - Week 10 Summary.pdf

202.7 KB

Lecture 3, 4 and 5 - Week 2 summary.pdf

201.7 KB

Lecture 16 and 17 - Week 7 summary.pdf

192.9 KB

Lecture 11, 12 and 13 - Week 5 summary.pdf

188.1 KB

Lecture 1 and 2 - Week 1 summary.pdf

186.0 KB

Lecture 8, 9 and 10 - Week 4 summary.pdf

184.7 KB

Lecture 14 and 15 - Week 6 summary.pdf

168.2 KB

Lecture 6 and 7 - Week 3 summary.pdf

159.7 KB

Lecture 29 - Week 12 summary.pdf

155.5 KB

Lecture 33, 34 and 35 - Week 14 summary.pdf

153.9 KB

/.../Part I. Vectors and matrices/Exam/

Practice exam 1A.pdf

131.5 KB

Practice exam 1B.pdf

122.7 KB

/.../Part I. Vectors and matrices/Exam Solutions/

Solutions - Practice exam 1B.pdf

139.0 KB

Solutions - Practice exam 1A.pdf

131.0 KB

/.../Part I. Vectors and matrices/

Multivariable Calculus - Lecture 2 - Determinants; cross product.mp4

120.6 MB

Multivariable Calculus - Lecture 3 - Matrices; inverse matrices.mp4

116.7 MB

Multivariable Calculus - Lecture 5 - Parametric equations for lines and curves.mp4

116.0 MB

Multivariable Calculus - Lecture 7 - Review.mp4

113.8 MB

Multivariable Calculus - Lecture 4 - Square systems; equations of planes.mp4

111.8 MB

Multivariable Calculus - Lecture 6 - Velocity, acceleration - Kepler's second law.mp4

109.9 MB

Multivariable Calculus - Lecture 1 - Dot product.mp4

88.4 MB

/.../Part II. Partial derivatives/Exam/

Practice exam 2A.pdf

124.0 KB

Practice exam 2B.pdf

116.3 KB

/.../Part II. Partial derivatives/Exam Solutions/

Solutions - Practice exam 2B.pdf

142.6 KB

Solutions - Practice exam 2A.pdf

119.7 KB

/.../Part II. Partial derivatives/

Multivariable Calculus - Lecture 10 - Second derivative test; boundaries and infinity.mp4

119.3 MB

Multivariable Calculus - Lecture 11 - Differentials; chain rule.mp4

114.7 MB

Multivariable Calculus - Lecture 13 - Lagrange multipliers.mp4

114.7 MB

Multivariable Calculus - Lecture 12 - Gradient; directional derivative; tangent plane.mp4

114.6 MB

Multivariable Calculus - Lecture 9 - Max-min problems; least squares.mp4

113.5 MB

Multivariable Calculus - Lecture 14 - Non-independent variables.mp4

112.4 MB

Multivariable Calculus - Lecture 8 - Level curves; partial derivatives; tangent plane approximation.mp4

105.7 MB

Multivariable Calculus - Lecture 15 - Partial differential equations; review.mp4

104.0 MB

/.../Part III. Double integrals and line integrals in the plane/Exam/

Practice exam 3B.pdf

116.8 KB

Practice exam 3A.pdf

110.5 KB

/.../Part III. Double integrals and line integrals in the plane/Exam Solutions/

Solutions - Practice exam 3B.pdf

152.9 KB

Solutions - Practice exam 3A.pdf

131.4 KB

/.../Part III. Double integrals and line integrals in the plane/

Multivariable Calculus - Lecture 17 - Double integrals in polar coordinates; applications.mp4

163.0 MB

Multivariable Calculus - Lecture 19 - Vector fields and line integrals in the plane.mp4

161.8 MB

Multivariable Calculus - Lecture 20 - Path independence and conservative fields.mp4

160.4 MB

Multivariable Calculus - Lecture 23 - Flux; normal form of Green's theorem.mp4

159.2 MB

Multivariable Calculus - Lecture 21 - Gradient fields and potential functions.mp4

159.1 MB

Multivariable Calculus - Lecture 24 - Simply connected regions; review.mp4

156.1 MB

Multivariable Calculus - Lecture 18 - Change of variables.mp4

153.6 MB

Multivariable Calculus - Lecture 16 - Double integrals.mp4

148.8 MB

Multivariable Calculus - Lecture 22 - Green's theorem.mp4

148.8 MB

/.../Part IV. Triple integrals and surface integrals in 3-space/Exam/

Practice exam 4B.pdf

124.7 KB

Practice exam 4A.pdf

113.1 KB

/.../Part IV. Triple integrals and surface integrals in 3-space/Exam Solutions/

Solutions - Practice exam 4B.pdf

157.9 KB

Solutions - Practice exam 4A.pdf

117.4 KB

/.../Part IV. Triple integrals and surface integrals in 3-space/

Multivariable Calculus - Lecture 26 - Spherical coordinates; surface area.mp4

162.5 MB

Multivariable Calculus - Lecture 27 - Vector fields in 3D; surface integrals and flux.mp4

160.7 MB

Multivariable Calculus - Lecture 32 - Stokes' theorem (cont.); review.mp4

159.7 MB

Multivariable Calculus - Lecture 29 - Divergence theorem (cont.) applications and proof.mp4

158.7 MB

Multivariable Calculus - Lecture 28 - Divergence theorem.mp4

156.6 MB

Multivariable Calculus - Lecture 30 - Line integrals in space, curl, exactness and potentials.mp4

156.3 MB

Multivariable Calculus - Lecture 25 - Triple integrals in rectangular and cylindrical coordinates.mp4

155.2 MB

Multivariable Calculus - Lecture 35 - Final review (cont.).mp4

153.7 MB

Multivariable Calculus - Lecture 31 - Stokes' theorem.mp4

149.7 MB

Multivariable Calculus - Lecture 34 - Final review.mp4

139.5 MB

Multivariable Calculus - Lecture 33 - Topological considerations - Maxwell's equations.mp4

90.9 MB

/

Course Description.docx

10.8 KB

 

Total files 449


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