Embedded Files
Chapter 2: Limits & Derivatives
Useful Youtube Channels
Chapter topics are covered by Pen and Paper's channel in their Calculus 101 playlist starting from (video #1 to video #4) about Finding the domain and Range and from (video #24 to video #29).
Chapter topics are covered by Ibrahem Okkeh's channel in their سلسلة Ř´Ř±Ř (calculus 1 ) playlist starting from (video #1 to video #4) about Finding the domain and Range and from (video #10 to video #14).
Chapter topics are covered by NancyPi's channel in their Calculus: Limits and Asymptotes playlists.
2.2 The Limit of a Function:
The Limit of a Function 1.1
IAU Lecture
The Limit of a Function 1.2
IAU Lecture
Limits Continued
Introduction to limits | Limits | Differential Calculus | Khan Academy
Calculus 1 Lecture 1.1: An Introduction to Limits
Limit examples (part 1) | Limits | Differential Calculus | Khan Academy
The Limit of a Function 1.1
IAU Lecture
The Limit of a Function 1.2
IAU Lecture
Limits Continued
2.3 Calculating Limits Using the Limit Laws:
Limits and Derivatives
IAU Lecture
Properties of Limits
Squeeze Theorem
Calculus - The laws of limits
Limit properties | Limits and continuity | AP Calculus AB | Khan Academy
(More on Limit Properties)
Squeeze theorem (sandwich theorem) | Limits | Differential Calculus | Khan Academy
(More on Squeeze Theorem)
Limit Laws to Evaluate a Limit , Example 1
(Practice Problem: 3 Examples)
Limits and Derivatives
IAU Lecture
2.5 Continuity:
Limits and Derivatives 2
IAU Lecture
Continuity
IAU Lecture
Find Values of a and b that make the piecewise function continuous
Limits to define continuity
The BEST explanation of Limits and Continuity!
(More on Continuity)
Intermediate Value Theorem Explained - To Find Zeros, Roots or C value - Calculus
Intermediate Value Theorem
3 Step Continuity Test, Discontinuity, Piecewise Functions & Limits
Limits and Continuity
(More on Continuity)
Intermediate value theorem | Existence theorems | AP Calculus AB | Khan Academy
(More on IVT)
Intermediate value theorem example | Existence theorems | AP Calculus AB | Khan Academy
Limits and Derivatives 2
IAU Lecture
Continuity
IAU Lecture
2.6 Limits at Infinity & Horizontal Asymptotes:
Limits at Infinity & Horizontal Asymptotes
IAU Lecture
Limits at Infinity & Horizontal Asymptotes
Limits at infinity of quotients (Part 1) | Limits and continuity | AP Calculus AB | Khan Academy
(2 Parts)
Finding horizontal and vertical asymptotes | Rational expressions | Algebra II | Khan Academy
Horizontal Asymptotes, Limits at Infinity - Another Example #1
Limits at Infinity & Horizontal Asymptotes
IAU Lecture
Chapter 3: Differentiation Rules
Useful Youtube Channels
Chapter topics are covered by Pen and Paper's channel in their Calculus 101 playlist starting from (video #30 to video #41) to go to video #30 Click here.
Chapter topics are covered by Ibrahem Okkeh's channel in their سلسلة Ř´Ř±Ř (calculus 1 ) playlist starting from (video #15 to video #18) to go to video #15 Click here.
Chapter topics are covered by NancyPi's channel in their Calculus: Derivatives playlist.
Chapter topics are covered by Professor Leonard's channel in their Calculus 1 (Full Length Videos) playlist starting from (video #9 to video #15) to go to video #9 Click here.
3.1 Derivatives of Polynomials and Exponential Functions: & 3.2 The Product and Quotient Rules:
3.1 Derivatives of Polynomials and Exponential Functions & 3.2 The Product and Quotient Rules
IAU Lecture
Derivatives Power Rule - Polynomial, Radical, Square Root & Absolute Value Functions -Calculus
(Extra)
Derivatives of Polynomial Functions
Differentiating polynomials | Derivative rules | AP Calculus AB | Khan Academy
3.1 Derivatives of Polynomials and Exponential Functions & 3.2 The Product and Quotient Rules
IAU Lecture
3.3 Derivatives of Trigonometric Functions:
3.3 Derivatives of Trigonometric Functions
IAU Lecture
Derivatives of Trigonometric Functions - Product Rule Quotient & Chain Rule - Calculus Tutorial
Trig functions differentiation | Derivative functions rules | AP Calculus AB | Khan Academy
Derivatives of Trigonometric Functions (Extra)
3.3 Derivatives of Trigonometric Functions
IAU Lecture
3.4 The Chain Rule:
The Chain Rule
IAU Lecture
Chain Rule For Finding Derivatives
The Chain Rule
Chain rule | Derivative rules | AP Calculus AB | Khan Academy
Visualizing the chain rule and product rule | Essence of calculus, chapter 4 (Extra Visualization)
Chain Rule for Finding Derivatives
(Practice Problems)
Chain Rule Examples
(Practice Problems)
The Chain Rule 1
Pen & Paper
The Chain Rule 2
Pen & Paper
The Chain Rule 3
Pen & Paper
The Chain Rule
IAU Lecture
3.6 Derivatives of Logarithmic Functions:
Derivative of Logarithmic Functions
Differentiating logarithmic functions using log properties | AP Calculus AB | Khan Academy
Derivatives of Logarithmic Functions
(Practice Problems)
Chapter 4: Application of Differentiation
Useful Youtube Channels
Chapter topics are covered by Pen and Paper's channel in their Calculus 101 playlist starting from (video #42 to video #46) to go to video #42 Click here.
Chapter topics are covered by Ibrahem Okkeh's channel in their سلسلة Ř´Ř±Ř (calculus 1 ) playlist starting from (video #21 to video #27) to go to video #21 Click here.
Chapter topics are covered by Professor Leonard's channel in their Calculus 1 (Full Length Videos) playlist starting from (video #12 and #17 to video #20) to go to video #12 Click here to go to video #17 Click here.
4.1 Maximum and Minimum Values:
Finding Absolute Maximum and Minimum Values - Absolute Extrema
(More on Absolute Max & Min)
Finding Local Maximum and Minimum Values of a Function - Relative Extrema
(More on Local Max & Min)
Relative Extrema, Local Maximum and Minimum, First Derivative Test, Critical Points- Calculus
(Extra)
Absolute Maximum & Absolute Minimum
Pen & Paper
4.2 The Mean Value Theorem:
Mean Value Theorem
Mean value theorem | Existence theorems | AP Calculus AB | Khan Academy
The Mean Value Theorem
(Practice Problems)
Mean value theorem | Derivative applications | Differential Calculus | Khan Academy (Extra)
Mean value theorem example: polynomial | Existence theorems | AP Calculus AB | Khan Academy (Extra Examples)
4.3 How Derivatives Affect the Shape of a Graph:
How Derivatives Affect the Shape of Graph
IAU Lecture
Concavity introduction | Using derivatives to analyze functions | AP Calculus AB | Khan Academy
Concavity, Inflection Points, Increasing Decreasing, First & Second Derivative - Calculus
Concavity, Inflection Points, and Second Derivative (Extra)
Another example graphing with derivatives | Differential Calculus | Khan Academy (Extra)
How Derivatives Affect the Shape of Graph
IAU Lecture
4.4 Indeterminate Forms and l’Hospital’s Rule:
Indeterminate Forms and l'Hospital's Rule
IAU Lecture
Introduction to l'HĂ´pital's rule | Derivative applications | Differential Calculus | Khan Academy
L'hospital's Rule Indeterminate Forms, Limits at Infinity, Ln, Trig & Exponential Functions Calculus
L'hopital's rule (Extra)
L'Hospital Rule - Indeterminate Products
(Practice Problems)
L'Hospital's Rule - Indeterminate Differences
(Practice Problems)
Indeterminate Forms and l'Hospital's Rule
IAU Lecture
4.5 Summary of Curve Sketching:
Summary of Curve Sketching
IAU Lecture
Curve Sketching - First & Second Derivatives - Graphing Rational Functions & Asymptotes - Calculus
Graphing using derivatives | Derivative applications | Differential Calculus | Khan Academy
Curve Sketching Using Calculus - Part 1 of 2
(Practice Problems 2 Parts)
Summary of Curve Sketching - Example 2, Part 1 of 4 (Practice Problem: 4 Parts)
Summary of Curve Sketching
IAU Lecture
Chapter 5: Integrals
Useful Youtube Channels
Chapter topics are covered by Pen and Paper's channel in their Calculus 101 playlist starting from (video #47 to video #61) to go to video #47 Click here.
Chapter topics are covered by NancyPi's channel in their Calculus: Integration playlist.
Chapter topics are covered by Professor Leonard's channel in their Calculus 1 (Full Length Videos) playlist starting from (video #24 to video #28) to go to video #24 Click here.
Chapter topics are covered by Professor Leonard's channel in their سلسلة Ř´Ř±Ř Ů…Ř§ŘŻŘ© ❤ calculus 2 ❤ playlist starting from (video #1 and #2) to go to video #1 Click here.
Chapter topics are covered by Ibrahem Okkeh's channel in their Calculus 102 playlist about Integration by substitution.
5.1 Areas:
5.2 The Definite Integral:
Definite integral as the limit of a Riemann sum | AP Calculus AB | Khan Academy
Definite Integral Calculus Examples, Integration - Basic Introduction, Practice Problems
Definite Integral
(Extra)
Calculating a Definite Integral Using Riemann Sums - Part 1
(Practice Problems 2 Parts)
5.3 The Fundamental Theorem of Calculus:
The Fundamental Theorem of Calculus
IAU Lecture
Fundamental theorem of calculus (Part 1) | AP Calculus AB | Khan Academy
Fundamental Theorem of Calculus Explained - Part 1 & 2 Examples - Definite Integral
Integration and the fundamental theorem of calculus | Essence of calculus, chapter 8
(Extra)
Fundamental Theorem of Calculus Part 1
(Practice Problem 2 Parts)
Fundamental theorem of calculus (Part 2) | AP Calculus AB | Khan Academy
The Fundamental Theorem of Calculus
IAU Lecture
5.4 Indefinite Integrals and the Net Change Theorem:
Indefinite Integrals and the Net Change Theorem
IAU Lecture
Indefinite Integral - Basic Integration Rules, Problems, Formulas, Trig Functions, Calculus
Indefinite Integral
Antiderivatives and indefinite integrals | AP Calculus AB | Khan Academy
Indefinite Integrals and the Net Change Theorem
IAU Lecture
5.5 The Substitution Rule:
The Substitution Rule
IAU Lecture
substitution intro | AP Calculus AB | Khan Academy
U-substitution With Definite Integrals (Extra)
Integration using U-Substitution
(Practice Problem)
The Substitution Rule
IAU Lecture
Chapter 6: Applications of Integration
Useful Youtube Channels
Chapter topics are covered by Professor Leonard's channel in their Calculus 1 (Full Length Videos) playlist starting from (video #29 to video #31) to go to video #29 Click here.
Chapter topics are covered by Professor Leonard's channel in their سلسلة Ř´Ř±Ř Ů…Ř§ŘŻŘ© ❤ calculus 2 ❤ playlist starting from (video#19 to video #24) to go to video #19 Click here.
6.1 More About Areas:
6.2 Volumes:
Volumes of Revolution - Disk/Washers Example 1
(Practice Problem :
3 Examples)
Disc method around x-axis | Applications of definite integrals | AP Calculus AB | Khan Academy
(More on Disk Method)
Volume with cross sections: intro | Applications of integration | AP Calculus AB | Khan Academy (More on Volume Using Cross Section)
Chapter 7: Techniques of Integration
Useful Youtube Channels
Chapter topics are covered by Professor Leonard's channel in their Calculus 2 (Full Length Videos) playlist starting from (video #8 to video #10) to go to video #8 Click here.
Chapter topics are covered by Professor Leonard's channel in their سلسلة Ř´Ř±Ř Ů…Ř§ŘŻŘ© ❤ calculus 2 ❤ playlist starting from (video #3 to video #13) to go to video #3 Click here.
Chapter topics are covered by Ibrahem Okkeh's channel in their Calculus 102 playlist.
7.1 Integration by Parts:
Integration by Parts
IAU Lecture
Integration by Parts Made Easy!
Integration by parts intro | AP Calculus BC | Khan Academy
Integration by parts: Ă‚Âşx_cos(x)dx | AP Calculus BC | Khan Academy
(2 Examples)
Integration by Parts - Definite Integral
Trick for Integration by Part
What is Integration by Parts - How to do Integration by Parts
Integration by Parts
IAU Lecture
7.2 Trigonometric Integrals:
Trigonometric Integrals
IAU Lecture
Integration of Rational Function by Partial Function
IAU Lecture
Integration by Partial Fraction
Trigonometric Integrals
IAU Lecture
Chapter 11: Infinite Sequences and Series
Useful Youtube Channels
Chapter topics are covered by Professor Leonard's channel in their Calculus 2 (Full Length Videos) playlist starting from (video #14 to video #21) to go to video #14 Click here
Chapter topics are covered by Professor Leonard's channel in their سلسلة Ř´Ř±Ř Ů…Ř§ŘŻŘ© ❤ calculus 2 ❤ playlist starting from (video #25 to video #38) to go to video #25 Click here
11.1 Sequences:
Sequences Part#1
IAU Lecture
Sequences Part#2
IAU Lecture
Converging and Diverging Sequences Using Limits - Practice Problems
Introduction to arithmetic sequences | Sequences, series and induction | Precalculus | Khan Academy
What is a Sequence? Basic Sequence Info
Monotonic Sequences and Bounded Sequences - Calculus 2
Bounded Sequences
11.2 Series:
Series
IAU Lecture
Geometric series convergence and divergence examples | Precalculus | Khan Academy
Divergence Test For Series - Calculus 2
nth term divergence test | Series | AP Calculus BC | Khan Academy
11.1 & 11.2 Extras:
11.3 The Integral Test:
Calculus 2 - Integral Test For Convergence and Divergence of Series
Integral test | Series | AP Calculus BC | Khan Academy
Integral Test for Series Example 1 (Practice Problem : 3 Examples)
Integral Test - Basic Idea (Extra)
11.4 The Comparison Test:
The Comparison Test
IAU Lecture
Direct Comparison Test - Calculus 2
Direct comparison test | Series | AP Calculus BC | Khan Academy
Direct Comparison Test for ( Improper ) Integrals
Limit Comparison Test
Limit comparison test | Series | AP Calculus BC | Khan Academy
Limit Comparison Test and Direct Comparison Test
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