Udemy - Advanced Calculus/Real Analysis with the Math Sorcerer

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Udemy - Advanced Calculus/Real Analysis with the Math Sorcerer (Size: 3.72 GB)
  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



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

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