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/Assignments/Assignments/
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Problem Set 1.pdf
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152.2 KB
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Problem Set 10.pdf
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113.4 KB
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Problem Set 11.pdf
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122.4 KB
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Problem Set 12.pdf
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109.4 KB
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Problem Set 2.pdf
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107.5 KB
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Problem Set 3.pdf
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158.6 KB
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Problem Set 4.pdf
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155.3 KB
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Problem Set 5.pdf
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121.1 KB
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Problem Set 6.pdf
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113.9 KB
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Problem Set 7.pdf
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119.0 KB
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Problem Set 8.pdf
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125.9 KB
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Problem Set 9.pdf
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114.7 KB
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/Assignments/
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MATLAB® Instructions.pdf
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129.8 KB
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/.../Supplementary Notes and Problems/Part I Notes/
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Changing variables in multiple integrals.pdf
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421.0 KB
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Determinants.pdf
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234.8 KB
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Gravitational attraction.pdf
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171.7 KB
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Kepler's second law.pdf
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180.1 KB
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Least squares interpolation.pdf
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224.8 KB
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Limits in iterated integrals.pdf
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248.3 KB
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Matrices and linear algebra.pdf
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548.5 KB
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Non-independent variables.pdf
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503.0 KB
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Partial differential equations.pdf
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220.3 KB
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Second derivative test.pdf
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308.9 KB
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The tangent approximation.pdf
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374.9 KB
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/.../Part II Vector Integral Calculus/
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Gradient fields and exact differentials.pdf
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284.7 KB
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Gradient fields in space.pdf
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258.8 KB
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Green's theorem in normal form.pdf
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288.1 KB
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Laplace's equation and harmonic functions.pdf
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352.7 KB
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Line integrals in space.pdf
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250.3 KB
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Multiply-connected regions; topology.pdf
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296.4 KB
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Plane vector fields.pdf
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335.4 KB
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Relation to physics.pdf
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316.6 KB
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Simply-connected regions.pdf
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298.8 KB
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Some topological questions.pdf
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300.5 KB
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Stokes' theorem.pdf
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357.3 KB
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Surface integrals.pdf
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401.6 KB
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The divergence theorem.pdf
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284.9 KB
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Two-dimensional flux.pdf
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213.6 KB
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Vector fields in space.pdf
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187.4 KB
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/.../Part III Exercises/Problems/
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Double integrals.pdf
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297.0 KB
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Line integrals in the plane.pdf
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394.2 KB
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Partial differentiation.pdf
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597.5 KB
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Triple integrals.pdf
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219.7 KB
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Vector integral calculus in space.pdf
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467.2 KB
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Vectors and matrices.pdf
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682.3 KB
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/.../Part III Exercises/Solutions/
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Solutions - Double integrals.pdf
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304.3 KB
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Solutions - Line integrals in the plane.pdf
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403.4 KB
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Solutions - Partial differentiation.pdf
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838.5 KB
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Solutions - Triple integrals.pdf
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341.0 KB
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Solutions - Vector integral calculus in space.pdf
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486.6 KB
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Solutions - Vectors and matrices.pdf
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633.1 KB
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/
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Course Description.docx
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10.8 KB
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/Lecture Notes/
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Lecture 1 and 2 - Week 1 summary.pdf
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186.0 KB
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Lecture 11, 12 and 13 - Week 5 summary.pdf
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188.1 KB
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Lecture 14 and 15 - Week 6 summary.pdf
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168.2 KB
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Lecture 16 and 17 - Week 7 summary.pdf
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192.9 KB
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Lecture 18, 19 and 20 - Week 8 summary.pdf
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222.0 KB
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Lecture 21, 22 and 23 - Week 9 summary.pdf
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214.8 KB
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Lecture 24 - Week 10 Summary.pdf
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202.7 KB
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Lecture 25 - Week 10 summary.pdf
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202.7 KB
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Lecture 26, 27 and 28 - Week 11 summary.pdf
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222.6 KB
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Lecture 29 - Week 12 summary.pdf
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155.5 KB
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Lecture 3, 4 and 5 - Week 2 summary.pdf
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201.7 KB
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Lecture 30, 31 and 32 - Week 13 summary.pdf
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207.9 KB
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Lecture 33, 34 and 35 - Week 14 summary.pdf
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153.9 KB
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Lecture 6 and 7 - Week 3 summary.pdf
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159.7 KB
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Lecture 8, 9 and 10 - Week 4 summary.pdf
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184.7 KB
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/.../Part I. Vectors and matrices/Exam Solutions/
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Solutions - Practice exam 1A.pdf
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131.0 KB
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Solutions - Practice exam 1B.pdf
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139.0 KB
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/.../Part I. Vectors and matrices/Exam/
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Practice exam 1A.pdf
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131.5 KB
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Practice exam 1B.pdf
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122.7 KB
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/.../Part I. Vectors and matrices/
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Multivariable Calculus - Lecture 1 - Dot product.mp4
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88.4 MB
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Multivariable Calculus - Lecture 2 - Determinants; cross product.mp4
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120.6 MB
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Multivariable Calculus - Lecture 3 - Matrices; inverse matrices.mp4
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116.7 MB
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Multivariable Calculus - Lecture 4 - Square systems; equations of planes.mp4
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111.8 MB
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Multivariable Calculus - Lecture 5 - Parametric equations for lines and curves.mp4
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116.0 MB
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Multivariable Calculus - Lecture 6 - Velocity, acceleration - Kepler's second law.mp4
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109.9 MB
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Multivariable Calculus - Lecture 7 - Review.mp4
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113.8 MB
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/.../Part II. Partial derivatives/Exam Solutions/
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Solutions - Practice exam 2A.pdf
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119.7 KB
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Solutions - Practice exam 2B.pdf
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142.6 KB
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/.../Part II. Partial derivatives/Exam/
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Practice exam 2A.pdf
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124.0 KB
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Practice exam 2B.pdf
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116.3 KB
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/.../Part II. Partial derivatives/
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Multivariable Calculus - Lecture 10 - Second derivative test; boundaries and infinity.mp4
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119.3 MB
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Multivariable Calculus - Lecture 11 - Differentials; chain rule.mp4
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114.7 MB
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Multivariable Calculus - Lecture 12 - Gradient; directional derivative; tangent plane.mp4
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114.6 MB
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Multivariable Calculus - Lecture 13 - Lagrange multipliers.mp4
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114.7 MB
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Multivariable Calculus - Lecture 14 - Non-independent variables.mp4
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112.4 MB
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Multivariable Calculus - Lecture 15 - Partial differential equations; review.mp4
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104.0 MB
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Multivariable Calculus - Lecture 8 - Level curves; partial derivatives; tangent plane approximation.mp4
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105.7 MB
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Multivariable Calculus - Lecture 9 - Max-min problems; least squares.mp4
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113.5 MB
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/.../Part III. Double integrals and line integrals in the plane/Exam Solutions/
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Solutions - Practice exam 3A.pdf
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131.4 KB
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Solutions - Practice exam 3B.pdf
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152.9 KB
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/.../Part III. Double integrals and line integrals in the plane/Exam/
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Practice exam 3A.pdf
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110.5 KB
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Practice exam 3B.pdf
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116.8 KB
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/.../Part III. Double integrals and line integrals in the plane/
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Multivariable Calculus - Lecture 16 - Double integrals.mp4
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148.8 MB
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Multivariable Calculus - Lecture 17 - Double integrals in polar coordinates; applications.mp4
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163.0 MB
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Multivariable Calculus - Lecture 18 - Change of variables.mp4
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153.6 MB
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Multivariable Calculus - Lecture 19 - Vector fields and line integrals in the plane.mp4
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161.8 MB
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Multivariable Calculus - Lecture 20 - Path independence and conservative fields.mp4
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160.4 MB
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Multivariable Calculus - Lecture 21 - Gradient fields and potential functions.mp4
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159.1 MB
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Multivariable Calculus - Lecture 22 - Green's theorem.mp4
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148.8 MB
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Multivariable Calculus - Lecture 23 - Flux; normal form of Green's theorem.mp4
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159.2 MB
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Multivariable Calculus - Lecture 24 - Simply connected regions; review.mp4
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156.1 MB
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/.../Part IV. Triple integrals and surface integrals in 3-space/Exam Solutions/
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Solutions - Practice exam 4A.pdf
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117.4 KB
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Solutions - Practice exam 4B.pdf
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157.9 KB
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/.../Part IV. Triple integrals and surface integrals in 3-space/Exam/
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Practice exam 4A.pdf
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113.1 KB
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Practice exam 4B.pdf
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124.7 KB
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/.../Part IV. Triple integrals and surface integrals in 3-space/
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Multivariable Calculus - Lecture 25 - Triple integrals in rectangular and cylindrical coordinates.mp4
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155.2 MB
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Multivariable Calculus - Lecture 26 - Spherical coordinates; surface area.mp4
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162.5 MB
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Multivariable Calculus - Lecture 27 - Vector fields in 3D; surface integrals and flux.mp4
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160.7 MB
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Multivariable Calculus - Lecture 28 - Divergence theorem.mp4
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156.6 MB
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Multivariable Calculus - Lecture 29 - Divergence theorem (cont.) applications and proof.mp4
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158.7 MB
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Multivariable Calculus - Lecture 30 - Line integrals in space, curl, exactness and potentials.mp4
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156.3 MB
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Multivariable Calculus - Lecture 31 - Stokes' theorem.mp4
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149.7 MB
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Multivariable Calculus - Lecture 32 - Stokes' theorem (cont.); review.mp4
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159.7 MB
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Multivariable Calculus - Lecture 33 - Topological considerations - Maxwell's equations.mp4
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90.9 MB
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Multivariable Calculus - Lecture 34 - Final review.mp4
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139.5 MB
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Multivariable Calculus - Lecture 35 - Final review (cont.).mp4
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153.7 MB
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Total files 118
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