[ FreeCourseWeb.com ] Advanced Calculus/Real Analysis with the Math Sorcerer
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Genre: eLearning | MP4 | Video: h264, 1280x720 | Audio: aac, 44100 Hz
Language: English | SRT | Size: 3.71 GB | Duration: 7h 18m
What you'll learn
Understand Advanced Mathematical Notation
How to Write Proofs in Advanced Calculus
How to Prove the Triangle, Reverse Triangle, and Bernoulli's Inequality
How to Prove Various Important Results Regarding Sequences
How to Prove the Squeeze Theorem
How to Prove a Sequence Converges
How to Prove a Sequence Diverges
How to Prove Results Regarding Cauchy Sequences
How to Prove a Sequence is Cauchy
How to Write a Delta Epsilon Proof
How to Prove a Function is Continuous
How to Prove a Function is Uniformly Continuous
How to Prove Pointwise Convergence
How to Prove Uniform Convergence
How to Prove a Function is Differentiable
How to Prove a Function is Not Differentiable
Understand the Convergence of Infinite Series
How to Use Dirichlet's Test
How to Find a Pointwise Limit
How to Prove Various Key Results in Advanced Calculus
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
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,
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