FIRST SESSION: INTRODUCTION TO CALCULUS COURSE 2
UNIT ONE: ANTIDERIVATIVES & DIFFERENTIAL EQUATIONS
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# 1 - Lesson 1 - Antiderivatives - Lecture Notes (18:31)
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# 2 - Lesson 2: How to Calculate Antiderivatives (29:41)
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# 3 - Video Lecture - Lesson 3 - Antiderivatives (19:21)
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# 4 - ANTIDERIVATIVE FORMULAS
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# 5 - New Lecture: PRACTICE EXERCISE - ANTIDERIVATIVES
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#6 - Video Lecture: Application of Antiderivatives - Problem 1 (16:25)
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# 7 - Video Lecture: Applications of Antiderivative in Motions (18:39)
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# 8 - Video Lecture : Solve Differential Equations. (50:57)
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#9- Lesson 2 - How To Solve Differential Equation
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# 10 - Practice Exercise - Solve Differential Equation
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UNIT 1 QUIZ
UNIT TWO - APPLICATION OF DIFFERENTIAL EQUATIONS
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# 1 - Video Lecture - Newton's Laws of Cooling (58:24)
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# 2 - Lesson 1 - The Laws of Natural Growth
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# 3 - Lesson 2: Newtons' Laws of Cooling
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# 4 - Practice Exercises - Applications of Anti-Derivatives
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# 5 Video Lecture - Application of Mixture Problems (31:56)
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# 6 - Lecture Notes - Differential Equations
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# 6 - Sample Solutions of Problem Solving in Differential Functions
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# 7 - Video Lecture - LOGISTIC EQUATIONS New Lecture (30:52)
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# 8 - PRACTICE EXERCISES -MIXTURE & LOGISTICS.
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# 9 - Unit 2 - Lesson 3 - Logistic Differential Equation
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# 10 - Copy of Solve Applications of Mixture & Logistic Problems
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IMPORTANT NOTES - DIFFERENTIAL EQUATIONS
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#11- Copy of Unit 2 - Lesson 4 - Sample Solutions of Problems Solving in Differential Functions
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# 12 - Practice Exercise - Application of Antiderivative
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# 13 - Copy of Unit 2 - Lesson 5 - Logistic Differential Equation
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# 14 - Video Lecture - Logistics Function & Its Derived Formulas (30:52)
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# 15 - Video Lecture - Application of Logistics Equations in Problems 'Solving (35:58)
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# 16 - Video Lecture - Solve a Pandemic Problem in Logistics (37:04)
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# 17 - Applications in Periodic Motions - an Equilibrium System
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#18 - Video Lecture Equilibrium System & Differential Equations (55:21)
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#19 - Video Lecture Solve Equilibrium Problems (82:58)
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#20 - Practice Exercises - Equilibrium Problems
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Unit 2 Quiz
UNIT THREE- INTEGRATIONS
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# 1 - Formula of Indefinite Integrals (AntiDerivatives)
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# 2 - Video Lecture - Evaluate Indefinite & Definite Integrals (56:48)
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# 3 - The Substitution Rules
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# 4 - Video Lecture - integrations by Substitution (49:58)
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# 5 - Practice Exercise - Evaluate integrals Using Substitution
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Integrations - Quiz One
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# 7 - Video Lecture - Integrations by Parts (49:21)
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# 8 - Unit 3 -Lesson - Integrations by Parts
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# 9- Practice Exercise - Integrations by Parts
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# 10 -Trigonometric Substitution In Integrations.
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#11 - Video Lecture - Trigonometric Substitution In Integrations (50:54)
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# 11 - Video Lecture - Partials Fractions (58:26)
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#12 - Lecture Notes - Integrations of Partial Fractions
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# 12- Practice Exercise - Evaluate Integrals Using Partial Fractions
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#12 - Unit 3 Quiz - Integrations Quiz Two
UNIT 4- SIGMA PROPERTIES AND AREAS UNDER THE CURVE
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# 1- Sigma Notations - Lecture Notes _ Lesson 1
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# 2 - Video Lectures - Proof of The Sum of Natural Numbers (90:29)
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# 3 - Areas Under the Curves - lecture notes
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# 4 - Video Lecture - Areas Under The Curves. (75:41)
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# 5 - Find the Areas under The Curve - Practice Exercise
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# 6 - Lecture Notes - Lesson 3 - Areas Between Curves
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# 7 - Video Lectures- Find the Area Between Tne Two Curves. (33:57)
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# 8 - Practice Exercise : Find the Area Between Two Curves.
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Unit 4 Quiz
UNIT FIVE- VOLUMES OF SOLID REVOLUTIONS
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# 1 - UNIT 5 - Lesson 1 - Lecture Notes - Introduction to Volumes of Solid Revolutions (42:32)
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# 2 - Video Lecture Volume of Revolutions - Disc Method
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# 3 - Video Lectures Disc Method (40:42)
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# 4 - Video Lecture - Volume of Revolution - Revolving about the Y- Axis lesson 1 (23:37)
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# 5 - Video Lecture - Volume of Revolutions - Revolving about the Y-Axis - Lesson 2 (31:10)
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# 6 - Lecture Notes - Volume of Solid Revolution - Revolving About Y- Axis
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Video Lecture - Generate the volume by a Region bounded by The Two Curves (46:20)
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# 8 - Practice Quiz - Find The Volume - Using Disc Method
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# 9- Lecture Notes - Solid of Revolutions - The Shell Method
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# 10 - Video Lecture - Concepts of The Shell Method (63:16)
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# 11- Video Lecture - Solve Problem - Using the Shell Method (38:01)
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# 12 - Video Lecture Problem Solving in a Shell Method (42:29)
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# 13 Unit Quiz - Volume of a Solid Revolution
UNIT 6 - (EXTRA BONUS UNIT) POLAR COORDINATES
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# 1 - Lesson 1 - Lecture Notes - Convert Between Polar Coordinates and Cartesian Coordinates (27:24)
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# 2 - Video Lecture - Convert Between Polar and Cartesian Coordinates (18:27)
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# 3 - MS PowerPoint Presentation of Polar Curves
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# 4 - Video Lecture - Polar Curve Sketching (73:50)
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# 5 - Lecture Notes- how to sketch Polar Curves
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# 6 - Practice Exercises
PREVIEW ALL THE UNITS OF LESSONS IN THIS SECOND COURSE
