freeCodeCamp.org

Learn Calculus 1 in this full college course.

This course was created by Dr. Linda Green, a lecturer at the University of North Carolina at Chapel Hill. Check out her YouTube channel: https://www.youtube.com/channel/UCkyLJh6hQS1TlhUZxOMjTFw

Lecture Notes

Course Contents:

• (0:00:00) [Corequisite] Rational Expressions
• (0:09:40) [Corequisite] Difference Quotient
• (0:18:20) Graphs and Limits
• (0:25:51) When Limits Fail to Exist
• (0:31:28) Limit Laws
• (0:37:07) The Squeeze Theorem
• (0:42:55) Limits using Algebraic Tricks
• (0:56:04) When the Limit of the Denominator is 0
• (1:08:40) [Corequisite] Lines: Graphs and Equations
• (1:17:09) [Corequisite] Rational Functions and Graphs
• (1:30:35) Limits at Infinity and Graphs
• (1:37:31) Limits at Infinity and Algebraic Tricks
• (1:45:34) Continuity at a Point
• (1:53:21) Continuity on Intervals
• (1:59:43) Intermediate Value Theorem
• (2:03:37) [Corequisite] Right Angle Trigonometry
• (2:11:13) [Corequisite] Sine and Cosine of Special Angles
• (2:19:16) [Corequisite] Unit Circle Definition of Sine and Cosine
• (2:24:46) [Corequisite] Properties of Trig Functions
• (2:35:25) [Corequisite] Graphs of Sine and Cosine
• (2:41:57) [Corequisite] Graphs of Sinusoidal Functions
• (2:52:10) [Corequisite] Graphs of Tan, Sec, Cot, Csc
• (3:01:03) [Corequisite] Solving Basic Trig Equations
• (3:08:14) Derivatives and Tangent Lines
• (3:22:55) Computing Derivatives from the Definition
• (3:34:02) Interpreting Derivatives
• (3:42:33) Derivatives as Functions and Graphs of Derivatives
• (3:56:25) Proof that Differentiable Functions are Continuous
• (4:01:09) Power Rule and Other Rules for Derivatives
• (4:07:42) [Corequisite] Trig Identities
• (4:15:14) [Corequisite] Pythagorean Identities
• (4:20:35) [Corequisite] Angle Sum and Difference Formulas
• (4:28:31) [Corequisite] Double Angle Formulas
• (4:36:01) Higher Order Derivatives and Notation
• (4:39:22) Derivative of e^x
• (4:46:52) Proof of the Power Rule and Other Derivative Rules
• (4:56:31) Product Rule and Quotient Rule
• (5:02:09) Proof of Product Rule and Quotient Rule
• (5:10:40) Special Trigonometric Limits
• (5:17:31) [Corequisite] Composition of Functions
• (5:29:54) [Corequisite] Solving Rational Equations
• (5:40:02) Derivatives of Trig Functions
• (5:46:23) Proof of Trigonometric Limits and Derivatives
• (5:54:38) Rectilinear Motion
• (6:11:41) Marginal Cost
• (6:16:51) [Corequisite] Logarithms: Introduction
• (6:25:32) [Corequisite] Log Functions and Their Graphs
• (6:36:17) [Corequisite] Combining Logs and Exponents
• (6:40:55) [Corequisite] Log Rules
• (6:49:27) The Chain Rule
• (6:58:44) More Chain Rule Examples and Justification
• (7:07:43) Justification of the Chain Rule
• (7:10:00) Implicit Differentiation
• (7:20:28) Derivatives of Exponential Functions
• (7:25:38) Derivatives of Log Functions
• (7:29:38) Logarithmic Differentiation
• (7:37:08) [Corequisite] Inverse Functions
• (7:51:22) Inverse Trig Functions
• (8:00:56) Derivatives of Inverse Trigonometric Functions
• (8:12:11) Related Rates – Distances
• (8:17:55) Related Rates – Volume and Flow
• (8:22:21) Related Rates – Angle and Rotation
• (8:28:20) [Corequisite] Solving Right Triangles
• (8:34:54) Maximums and Minimums
• (8:46:18) First Derivative Test and Second Derivative Test
• (8:51:37) Extreme Value Examples
• (9:01:33) Mean Value Theorem
• (9:09:09) Proof of Mean Value Theorem
• (0:14:59) [Corequisite] Solving Right Triangles
• (9:25:20) Derivatives and the Shape of the Graph
• (9:33:31) Linear Approximation
• (9:48:28) The Differential
• (9:59:11) L’Hospital’s Rule
• (10:06:27) L’Hospital’s Rule on Other Indeterminate Forms
• (10:16:13) Newtons Method
• (10:27:45) Antiderivatives
• (10:33:24) Finding Antiderivatives Using Initial Conditions
• (10:41:59) Any Two Antiderivatives Differ by a Constant
• (10:45:19) Summation Notation
• (10:49:12) Approximating Area
• (11:04:22) The Fundamental Theorem of Calculus, Part 1
• (11:15:02) The Fundamental Theorem of Calculus, Part 2
• (11:22:17) Proof of the Fundamental Theorem of Calculus
• (11:29:18) The Substitution Method
• (11:38:07) Why U-Substitution Works
• (11:40:23) Average Value of a Function
• (11:47:57) Proof of the Mean Value Theorem for Integrals

Learnit Training provides this Excel VBA Beginner Tutorial for those looking to boost their Excel skills.

Sure, it’s not Spark or Python, but not everything needs to be.

Exercise files: https://bit.ly/2OGV7eu

Content:

• Introduction 0:03
• What is VBA? 1:44
• Object Oriented Programming Languages 5:59
• Turning on the Developer Tab 10:17
• The Macro Recorder 13:40
• Using Relative References 20:39
• Recording Simple Macros 27:51
• Multi-Step Macro Recording 39:25
• Sort and Filter Macro Recording 45:26
• Protecting and Formatting Sheets with the Macro Recorder 51:35
• VBA Interface Setup 55:09
• Recorder Code vs. Manual Code 1:01:11
• Introduction to Editing Macros 1:12:28
• Debugging Macros 1:16:53
• Grammar in VBA 1:28:00
• Macro Scripting Basics 1:33:04
• Range 1:40:41
• Selection & Color 1:47:14
• Value and Clear 1:52:16
• ActiveSheet, Sheets, and Name 1:54:01
• CurrentRegion 1:56:40
• Practice 1:58:08

Here’s a great (and free!) workshop on Azure Quantum for developers.

This event is designed to help developers become quantum-ready and use the Azure Quantum service, including quantum hardware, software, and solutions, as it becomes broadly available. By attending this event, you can expect to gain a holistic understanding of the Microsoft Quantum developer ecosystem and the tools and resources available to kick start your journey to developing quantum apps.

ShortCircuit examines NVIDIA’s RTX Voice technology.

Check out RTX Voice at https://lmg.gg/rENbC

Brackeys explores Photogrammetry to create a video game using 3D Scans of real world environments.

Natural Language Processing (NLP) enables computers to interpret human language and recent advances have opened doors to new innovation.

Here’s a list of seven free NLP books to get started.

Kirill Gavrylyuk joins Scott Hanselman to go over two important updates to Azure Cosmos DB: Free Tier and Autopilot.

Free Tier enables you to run small applications using Azure Cosmos DB free of charge for as long as you like. Autopilot enables developers to only pay for the Azure Cosmos DB usage they need and not worry about predicting throughput.