| TutsNode.com.txt | 63 B | ||
| [TGx]Downloaded from torrentgalaxy.to .txt | 585 B | ||
| [TutsNode.com] - Advanced Calculus | |||
| 01 Introduction to Advanced Calculus | |||
| 001 Sets and Notation.en.srt | 12.8 KB | ||
| 001 Sets and Notation.mp4 | 202.46 MB | ||
| 002 Triangle Inequality Proof.en.srt | 3.82 KB | ||
| 002 Triangle Inequality Proof.mp4 | 12.14 MB | ||
| 003 Reverse Triangle Inequality Proof.en.srt | 6.49 KB | ||
| 003 Reverse Triangle Inequality Proof.mp4 | 21.92 MB | ||
| 004 Bernoulli's Inequality Proof.en.srt | 6.78 KB | ||
| 004 Bernoulli's Inequality Proof.mp4 | 25.35 MB | ||
| 005 Inequality Assignment.html | 928 B | ||
| 005 inequalities.pdf | 267.4 KB | ||
| 006 Solution to Problem #1.en.srt | 2.92 KB | ||
| 006 Solution to Problem #1.mp4 | 14.49 MB | ||
| 007 Solution to Problem #2.en.srt | 5.54 KB | ||
| 007 Solution to Problem #2.mp4 | 23.31 MB | ||
| 008 Solution to Problem #3.en.srt | 7.75 KB | ||
| 008 Solution to Problem #3.mp4 | 44.75 MB | ||
| 02 The Archimedean Principle | |||
| 009 Introduction to the Archimedean Property.en.srt | 9.02 KB | ||
| 009 Introduction to the Archimedean Property.mp4 | 56.87 MB | ||
| 010 Archimedean Property Assignment.html | 938 B | ||
| 010 archimedeanproperty.pdf | 264.7 KB | ||
| 011 Solution to Problem #1.en.srt | 10.15 KB | ||
| 011 Solution to Problem #1.mp4 | 60.71 MB | ||
| 012 Solution to Problem #2.en.srt | 9.53 KB | ||
| 012 Solution to Problem #2.mp4 | 74.58 MB | ||
| 03 Properties of Sequences | |||
| 013 The Limit of a Sequence is Unique.en.srt | 5.58 KB | ||
| 013 The Limit of a Sequence is Unique.mp4 | 27.41 MB | ||
| 014 Every Convergent Sequence is Bounded.en.srt | 3.56 KB | ||
| 014 Every Convergent Sequence is Bounded.mp4 | 13.13 MB | ||
| 015 The Squeeze Theorem for Sequences.en.srt | 9.48 KB | ||
| 015 The Squeeze Theorem for Sequences.mp4 | 50.33 MB | ||
| 04 Sequences | |||
| 016 Convergence Proof Example 1.en.srt | 7.82 KB | ||
| 016 Convergence Proof Example 1.mp4 | 42.58 MB | ||
| 017 Convergence Proof Example 2.en.srt | 12.11 KB | ||
| 017 Convergence Proof Example 2.mp4 | 170.93 MB | ||
| 018 Convergence Proof Example 3.en.srt | 9.38 KB | ||
| 018 Convergence Proof Example 3.mp4 | 124.76 MB | ||
| 019 Proving a Sequence Converges without the Archimedean Property(Harder).en.srt | 11 KB | ||
| 019 Proving a Sequence Converges without the Archimedean Property(Harder).mp4 | 45.64 MB | ||
| 020 Proof sin(1_n) converges.en.srt | 5.49 KB | ||
| 020 Proof sin(1_n) converges.mp4 | 29.51 MB | ||
| 021 Proving a Sequence Diverges.en.srt | 5.14 KB | ||
| 021 Proving a Sequence Diverges.mp4 | 17.96 MB | ||
| 022 Sequence Convergence Proof Problem.en.srt | 10.38 KB | ||
| 022 Sequence Convergence Proof Problem.mp4 | 59.01 MB | ||
| 023 Convergence of Cesaro Means.en.srt | 12.31 KB | ||
| 023 Convergence of Cesaro Means.mp4 | 50.66 MB | ||
| 024 A Divergent Sequence with a Convergent Subsequence.en.srt | 1.84 KB | ||
| 024 A Divergent Sequence with a Convergent Subsequence.mp4 | 6.9 MB | ||
| 05 Properties of Cauchy Sequences | |||
| 025 Every Cauchy Sequence is Bounded.en.srt | 6.76 KB | ||
| 025 Every Cauchy Sequence is Bounded.mp4 | 27.11 MB | ||
| 026 Every Convergent Sequence is Cauchy.en.srt | 6.62 KB | ||
| 026 Every Convergent Sequence is Cauchy.mp4 | 21.35 MB | ||
| 06 Cauchy Sequences | |||
| 027 Cauchy Sequence Convergence Example 1.en.srt | 5.58 KB | ||
| 027 Cauchy Sequence Convergence Example 1.mp4 | 27.9 MB | ||
| 028 Cauchy Sequence Convergence Example 2.en.srt | 11.57 KB | ||
| 028 Cauchy Sequence Convergence Example 2.mp4 | 77.02 MB | ||
| 029 Cauchy Sequence Convergence Example 3.en.srt | 10.31 KB | ||
| 029 Cauchy Sequence Convergence Example 3.mp4 | 65.73 MB | ||
| 030 Cauchy Sequence Convergence Example 4.en.srt | 14.23 KB | ||
| 030 Cauchy Sequence Convergence Example 4.mp4 | 84.06 MB | ||
| 07 Limits | |||
| 031 Delta Epsilon Proof Example.en.srt | 4.87 KB | ||
| 031 Delta Epsilon Proof Example.mp4 | 17.12 MB | ||
| 032 Delta Epsilon Proof Linear Example.en.srt | 9.67 KB | ||
| 032 Delta Epsilon Proof Linear Example.mp4 | 131.19 MB | ||
| 033 Delta Epsilon Proof Quadratic Example.en.srt | 13.96 KB | ||
| 033 Delta Epsilon Proof Quadratic Example.mp4 | 79.36 MB | ||
| 034 Delta Epsilon Proof with Trig Function.en.srt | 9.57 KB | ||
| 034 Delta Epsilon Proof with Trig Function.mp4 | 130.4 MB | ||
| 035 Delta Epsilon Proof with Cubic Function.en.srt | 17.38 KB | ||
| 035 Delta Epsilon Proof with Cubic Function.mp4 | 243.78 MB | ||
| 036 Sum of Limits Delta Epsilon Proof.en.srt | 4.87 KB | ||
| 036 Sum of Limits Delta Epsilon Proof.mp4 | 29.32 MB | ||
| 037 Squeeze Theorem Proof Example.en.srt | 5.54 KB | ||
| 037 Squeeze Theorem Proof Example.mp4 | 74.71 MB | ||
| 038 Limit Proof involving Bounded Function.en.srt | 4.9 KB | ||
| 038 Limit Proof involving Bounded Function.mp4 | 30.07 MB | ||
| 039 An Interesting Example.en.srt | 2.03 KB | ||
| 039 An Interesting Example.mp4 | 31.42 MB | ||
| 08 Continuous Functions | |||
| 040 Continuity Proof Example 1.en.srt | 10.83 KB | ||
| 040 Continuity Proof Example 1.mp4 | 63.17 MB | ||
| 041 Continuity Proof Example 2.en.srt | 12.98 KB | ||
| 041 Continuity Proof Example 2.mp4 | 73.83 MB | ||
| 042 Continuity Proof Example 3.en.srt | 4.09 KB | ||
| 042 Continuity Proof Example 3.mp4 | 20.99 MB | ||
| 043 Dirichlet Function.en.srt | 6.94 KB | ||
| 043 Dirichlet Function.mp4 | 41.66 MB | ||
| 09 Uniformly Continuous Functions | |||
| 044 Uniform Continuity versus Continuity.en.srt | 13.43 KB | ||
| 044 Uniform Continuity versus Continuity.mp4 | 105.12 MB | ||
| 045 Uniform Continuity Proof Example 1.en.srt | 10.89 KB | ||
| 045 Uniform Continuity Proof Example 1.mp4 | 36.2 MB | ||
| 046 Uniform Continuity Proof Example 2.en.srt | 4.13 KB | ||
| 046 Uniform Continuity Proof Example 2.mp4 | 16.4 MB | ||
| 047 Uniform Continuity Proof Example 3.en.srt | 7 KB | ||
| 047 Uniform Continuity Proof Example 3.mp4 | 40.85 MB | ||
| 048 Uniform Continuity Proof Example 4.en.srt | 4.71 KB | ||
| 048 Uniform Continuity Proof Example 4.mp4 | 28.39 MB | ||
| 049 Uniform Continuity Proof Example 5.en.srt | 6.64 KB | ||
| 049 Uniform Continuity Proof Example 5.mp4 | 43.05 MB | ||
| 050 Uniform Continuity Proof Example 6.en.srt | 11.81 KB | ||
| 050 Uniform Continuity Proof Example 6.mp4 | 78.89 MB | ||
| 051 Uniform Continuity Proof Example 7.en.srt | 4.91 KB | ||
| 051 Uniform Continuity Proof Example 7.mp4 | 22.99 MB | ||
| 10 Differentiation | |||
| 052 Every Differentiable Function is Continuous Proof.en.srt | 4.38 KB | ||
| 052 Every Differentiable Function is Continuous Proof.mp4 | 23.44 MB | ||
| 053 Proving a Function is Not Differentiable.en.srt | 3.92 KB | ||
| 053 Proving a Function is Not Differentiable.mp4 | 11.25 MB | ||
| 054 Proving a Function is Differentiable Example 1.en.srt | 5.59 KB | ||
| 054 Proving a Function is Differentiable Example 1.mp4 | 19.98 MB | ||
| 055 Proving a Function is Differentiable Example 2.en.srt | 4.07 KB | ||
| 055 Proving a Function is Differentiable Example 2.mp4 | 11.99 MB | ||
| 056 Trigonometric Function Differentiability Proof Example 1.en.srt | 5.11 KB | ||
| 056 Trigonometric Function Differentiability Proof Example 1.mp4 | 27.97 MB | ||
| 057 Trigonometric Function Differentiability Proof Example 2.en.srt | 5.85 KB | ||
| 057 Trigonometric Function Differentiability Proof Example 2.mp4 | 28.72 MB | ||
| 058 Derivatives of Even and Odd Functions Proofs.en.srt | 7.33 KB | ||
| 058 Derivatives of Even and Odd Functions Proofs.mp4 | 42.34 MB | ||
| 059 Piecewise Function Differentiability Proof.en.srt | 8.19 KB | ||
| 059 Piecewise Function Differentiability Proof.mp4 | 51.78 MB | ||
| 11 Infinite Series | |||
| 060 Series Convergence Explanation and Zeno's Paradox.en.srt | 7.76 KB | ||
| 060 Series Convergence Explanation and Zeno's Paradox.mp4 | 25.52 MB | ||
| 061 Dirichlet's Test Example.en.srt | 13.33 KB | ||
| 061 Dirichlet's Test Example.mp4 | 57.88 MB | ||
| 12 Multivariable Limits | |||
| 062 Delta Epsilon Multivariable Limit Proof Example 1.en.srt | 12.68 KB | ||
| 062 Delta Epsilon Multivariable Limit Proof Example 1.mp4 | 72.74 MB | ||
| 063 Delta Epsilon Multivariable Limit Proof Example 2.en.srt | 6.93 KB | ||
| 063 Delta Epsilon Multivariable Limit Proof Example 2.mp4 | 41.26 MB | ||
| 13 Pointwise and Uniform Convergence | |||
| 064 Pointwise Versus Uniform Convergence.en.srt | 6.76 KB | ||
| 064 Pointwise Versus Uniform Convergence.mp4 | 39.73 MB | ||
| 065 Pointwise Convergence Proof Example 1.en.srt | 15.97 KB | ||
| 065 Pointwise Convergence Proof Example 1.mp4 | 117.3 MB | ||
| 066 Pointwise Convergence Proof Example 2.en.srt | 15.47 KB | ||
| 066 Pointwise Convergence Proof Example 2.mp4 | 106.74 MB | ||
| 067 Finding a Pointwise Limit.en.srt | 8.25 KB | ||
| 067 Finding a Pointwise Limit.mp4 | 115.3 MB | ||
| 068 Uniform Convergence Proof Example 1.en.srt | 16.15 KB | ||
| 068 Uniform Convergence Proof Example 1.mp4 | 119.95 MB | ||
| 069 Uniform Convergence Proof Example 2.en.srt | 11.12 KB | ||
| 069 Uniform Convergence Proof Example 2.mp4 | 76.73 MB |

Description
This is a University Level course on Selected Topics in Advanced Calculus/Real Analysis with a major focus on WRITING PROOFS:)
Note: Advanced Calculus(aka Real Analysis) is typically considered the HARDEST course a mathematics major will take.
This course is a step above a general mathematics course. Students should have familiarity with writing proofs and mathematical notation.
Basically just,
1) Watch the videos, and try to follow along with a pencil and paper, take notes!
2) Try to learn to write the proofs as I do. If you understand the proofs then you have learned a great deal. If you can write the proofs on your own then you have really graduated to the next level.
3) Repeat!
If you finish even 50% of this course you will know A LOT of Advanced Calculus and more importantly your level of mathematical maturity will go up tremendously!
Advanced Calculus is a beautiful yet notoriously difficult subject to learn and teach. I hope you enjoy watching these videos and working through these problems as much as I have:)
Who this course is for:
Math Majors
Anyone with a strong desire to learn higher level mathematics
Requirements
Calculus 1, 2, 3, Differential equations + some proof writing experience is the typical recommendation for this material
A strong desire to learn higher level mathematics
Last Updated 6/2019
| torrent name | size | uploader | age | seed | leech |
|---|---|---|---|---|---|
| 776.8 MB | freecoursewb | 2 weeks | 1 | 11 | |
| 2.2 GB | freecoursewb | 2 weeks | 91 | 12 | |
| 770.5 MB | freecoursewb | 2 weeks | 24 | 18 | |
| 699.6 MB | freecoursewb | 2 weeks | 28 | 5 | |
| 1 GB | freecoursewb | 3 weeks | 0 | 0 |
All Comments