| 1. Applications of Differentiation (Increasing & Decreasing Functions).mp4 | 11.2 MB | ||
| 1. Applications of Differentiation (Increasing & Decreasing Functions).srt | 2.3 KB | ||
| 1. Applications of Integration (Limiting Sums and Definite Integrals).mp4 | 20.1 MB | ||
| 1. Applications of Integration (Limiting Sums and Definite Integrals).srt | 4.5 KB | ||
| 1. Basic Differentiation Properties and Techniques.mp4 | 39.1 MB | ||
| 1. Basic Differentiation Properties and Techniques.srt | 5.9 KB | ||
| 1. Basic Integration Properties and Techniques.mp4 | 24.2 MB | ||
| 1. Basic Integration Properties and Techniques.srt | 5.8 KB | ||
| 1. Introduction to Differentiation.mp4 | 9.1 MB | ||
| 1. Introduction to Differentiation.srt | 2.4 KB | ||
| 1. Introduction to Integration.mp4 | 15.3 MB | ||
| 1. Introduction to Integration.srt | 3.6 KB | ||
| 1. Quiz 1.html | 204.8 B | ||
| 1. Quiz 2.html | 204.8 B | ||
| 1. Solutions for Quiz 1 and 2.html | 204.8 B | ||
| 1.1 Applications of Differentiation (Increasing & Decreasing Functions) - Student.pdf | 311.9 KB | ||
| 1.1 Basic Differentiation Properties and Techniques - Student.pdf | 331.3 KB | ||
| 1.1 Lecture 1 - Introduction to Differentiation.pdf | 315.6 KB | ||
| 1.1 Lecture 25 - Introduction to Integration notes.pdf | 313.7 KB | ||
| 1.1 Lecture 26 - Basic Integration Properties and Techniques (Student).pdf | 382.3 KB | ||
| 1.1 Lecture 35 - Applications of Integration notes (Limiting Sum and Definite Integrals) notes.pdf | 281.7 KB | ||
| 1.1 Quiz 1 Solutions.pdf | 409.2 KB | ||
| 1.2 Quiz 2 Solutions.pdf | 409.6 KB | ||
| 10. Applications of Differentiation (Kinematics).mp4 | 16.8 MB | ||
| 10. Applications of Differentiation (Kinematics).srt | 4.2 KB | ||
| 10. Parametric Differentiation.mp4 | 14.6 MB | ||
| 10. Parametric Differentiation.srt | 2.5 KB | ||
| 10.1 Applications of Differentiation - Kinematics (Student).pdf | 265.3 KB | ||
| 10.1 Parametric Differentiation - Student.pdf | 245.5 KB | ||
| 11. Differentiation Techniques Practices.mp4 | 11.9 MB | ||
| 11. Differentiation Techniques Practices.srt | 3.4 KB | ||
| 11. Kinematics Problem-Solving.mp4 | 16.2 MB | ||
| 11. Kinematics Problem-Solving.srt | 3.1 KB | ||
| 11.1 Differentiation Techniques Practices (Student).pdf | 237.4 KB | ||
| 11.1 Lecture 24 - Kinematics Problem-Solving (Student).pdf | 299.2 KB | ||
| 2. Applications of Differentiation (Concavity of Functions).mp4 | 9 MB | ||
| 2. Applications of Differentiation (Concavity of Functions).srt | 2.6 KB | ||
| 2. Applications of Integration (Area under a Curve).mp4 | 14.4 MB | ||
| 2. Applications of Integration (Area under a Curve).srt | 4.1 KB | ||
| 2. Chain Rule.mp4 | 20.3 MB | ||
| 2. Chain Rule.srt | 3.4 KB | ||
| 2. Differentiation from First Principle.mp4 | 23.9 MB | ||
| 2. Differentiation from First Principle.srt | 3.4 KB | ||
| 2. Integration of Trigonometric Functions.mp4 | 28.8 MB | ||
| 2. Integration of Trigonometric Functions.srt | 4.9 KB | ||
| 2. Optimization with Constraints.mp4 | 19.3 MB | ||
| 2. Optimization with Constraints.srt | 3.3 KB | ||
| 2.1 Applications of Differentiation (Concavity of Functions) - Student.pdf | 249.7 KB | ||
| 2.1 Chain Rule - Student.pdf | 249.6 KB | ||
| 2.1 Differentiation from First Principle - Student.pdf | 314.8 KB | ||
| 2.1 Lecture 27 - Integration of Trigonometric Functions (Student).pdf | 301.2 KB | ||
| 2.1 Lecture 36 - Applications of Integration (Area under Curve) Student.pdf | 356.8 KB | ||
| 2.1 Lecture 45 - Optimization with Constraints (Student).pdf | 238.9 KB | ||
| 2.2 Notes on Basic Trigonometric Integration.pdf | 310.7 KB | ||
| 3. Applications of Differentiation (Stationary Points).mp4 | 47.8 MB | ||
| 3. Applications of Differentiation (Stationary Points).srt | 7.4 KB | ||
| 3. Area under a Curve Problem-Solving.mp4 | 12.8 MB | ||
| 3. Area under a Curve Problem-Solving.srt | 4.2 KB | ||
| 3. Further Practice Problem 1.mp4 | 21.5 MB | ||
| 3. Further Practice Problem 1.srt | 4.3 KB | ||
| 3. Integration of Functions to obtain Inverse Trigonometric Functions.mp4 | 10.2 MB | ||
| 3. Integration of Functions to obtain Inverse Trigonometric Functions.srt | 3.1 KB | ||
| 3. Product Rule.mp4 | 15.9 MB | ||
| 3. Product Rule.srt | 3.8 KB | ||
| 3.1 Applications of Differentiation (Stationary Points) - Student.pdf | 401.8 KB | ||
| 3.1 Further Practice Problem 1 - Student.pdf | 278.8 KB | ||
| 3.1 Lecture 28 - Integration of Functions to obtain Inverse Trigonometric Functions (Student).pdf | 241.2 KB | ||
| 3.1 Lecture 37 - Area under a Curve Problem.pdf | 321.8 KB | ||
| 3.1 Product Rule - Student.pdf | 241.2 KB | ||
| 4. Applications of Differentiation (Maxima and Minima).mp4 | 25.5 MB | ||
| 4. Applications of Differentiation (Maxima and Minima).srt | 4.1 KB | ||
| 4. Applications of Integration (Area between two Curves).mp4 | 15.7 MB | ||
| 4. Applications of Integration (Area between two Curves).srt | 3.7 KB | ||
| 4. Integration of Exponential and Logarithmic Functions.mp4 | 14.8 MB | ||
| 4. Integration of Exponential and Logarithmic Functions.srt | 3.7 KB | ||
| 4. Lecture 47 Further Practice Problem 2.mp4 | 12.8 MB | ||
| 4. Lecture 47 Further Practice Problem 2.srt | 3.6 KB | ||
| 4. Quotient Rule.mp4 | 14.5 MB | ||
| 4. Quotient Rule.srt | 3.9 KB | ||
| 4.1 Applications of Differentiation (Maxima & Minima Problems) - Student.pdf | 310.1 KB | ||
| 4.1 Further Practice Problem 2 - (iii) Exact Volume.pdf | 269.4 KB | ||
| 4.1 Lecture 29 - Integration of Exponential and Logarithmic Functions (Student).pdf | 300.7 KB | ||
| 4.1 Quotient Rule - Student.pdf | 242.1 KB | ||
| 4.2 Further Practice Problem 2 - Student.pdf | 248.5 KB | ||
| 5. Applications of Integration (Evaluating Areas of Parametric Equations).mp4 | 21.9 MB | ||
| 5. Applications of Integration (Evaluating Areas of Parametric Equations).srt | 3.8 KB | ||
| 5. Differentiation of Trigonometric Functions.mp4 | 34.7 MB | ||
| 5. Differentiation of Trigonometric Functions.srt | 6.3 KB | ||
| 5. Integration of f'(x) over [a^2-f(x)^2] or f'(x) over [f(x)^2-a^2].mp4 | 15.1 MB | ||
| 5. Integration of f'(x) over [a^2-f(x)^2] or f'(x) over [f(x)^2-a^2].srt | 3 KB | ||
| 5. Maxima and Minima Problem-Solving.mp4 | 29.5 MB | ||
| 5. Maxima and Minima Problem-Solving.srt | 4.6 KB | ||
| 5.1 Differentiation of Trigonometric Functions - Student.pdf | 253.2 KB | ||
| 5.1 LECTUR~1.PDF | 262.3 KB | ||
| 5.1 Lecture 30 - Integration of f'(x) over [a^2-f(x)^2] or f'(x) over [f(x)^2-a^2] - Student.pdf | 247.3 KB | ||
| 5.1 Maxima and Minima Problem-Solving - Student.pdf | 315.5 KB | ||
| 6. Applications of Differentiation (Connected Rates of Change).mp4 | 26 MB | ||
| 6. Applications of Differentiation (Connected Rates of Change).srt | 4.6 KB | ||
| 6. Applications of Integration (Volume of Revolution with x-axis).mp4 | 17.1 MB | ||
| 6. Applications of Integration (Volume of Revolution with x-axis).srt | 4.3 KB | ||
| 6. Differentiation of Inverse Trigonometric Functions.mp4 | 20.2 MB | ||
| 6. Differentiation of Inverse Trigonometric Functions.srt | 4.2 KB | ||
| 6. Miscellaneous Trigonometric Integrals.mp4 | 16.2 MB | ||
| 6. Miscellaneous Trigonometric Integrals.srt | 3.6 KB | ||
| 6.1 Applications of Differentiation (Connected Rate of Change) - Student.pdf | 340.4 KB | ||
| 6.1 Differentiation of Inverse Trigonometric Functions - Student.pdf | 284.7 KB | ||
| 6.1 Lecture 31 - Additional Trigonometric Integrals using Factor Formula (Self-Read).pdf | 275.2 KB | ||
| 6.1 Lecture 40 - Volume of Revolution with x-axis (Student).pdf | 320.9 KB | ||
| 6.2 Lecture 31 - Miscellaneous Trigonometric Integrals (Student).pdf | 245.2 KB | ||
| 6.2 Proof of the Inverse Trigonometric Functions Derivatives.pdf | 181.4 KB | ||
| 7. Applications of Integration (Voume of Revolution with y-axis).mp4 | 18.3 MB | ||
| 7. Applications of Integration (Voume of Revolution with y-axis).srt | 4.7 KB | ||
| 7. Connected Rates of Change Problem-Solving.mp4 | 12.3 MB | ||
| 7. Connected Rates of Change Problem-Solving.srt | 2.9 KB | ||
| 7. Differentiation of Exponential Functions.mp4 | 11 MB | ||
| 7. Differentiation of Exponential Functions.srt | 3.2 KB | ||
| 7. Integration by Substitution.mp4 | 16.6 MB | ||
| 7. Integration by Substitution.srt | 3.9 KB | ||
| 7.1 Differentiation of Exponential Functions (Student).pdf | 235 KB | ||
| 7.1 Lecture 20 - Connected Rate of Change Problem-Solving (Student).pdf | 234.3 KB | ||
| 7.1 Lecture 32 - Definite Integration by Substitution (extra self-study notes).pdf | 320.1 KB | ||
| 7.1 Lecture 41 - Volume of Revolution with y-axis (Student).pdf | 312.5 KB | ||
| 7.2 Lecture 32 - Integration by Substitution (Student).pdf | 319.6 KB | ||
| 8. Applications of Differentiation (Gradient, Tangent and Normal).mp4 | 28.2 MB | ||
| 8. Applications of Differentiation (Gradient, Tangent and Normal).srt | 4.7 KB | ||
| 8. Differentiation of Logarithmic Functions.mp4 | 12.9 MB | ||
| 8. Differentiation of Logarithmic Functions.srt | 3.5 KB | ||
| 8. Integration by Parts.mp4 | 28.4 MB | ||
| 8. Integration by Parts.srt | 3.8 KB | ||
| 8. Volume of Revolution Problem-Solving.mp4 | 18.7 MB | ||
| 8. Volume of Revolution Problem-Solving.srt | 3.2 KB | ||
| 8.1 Differentiation of Logarithmic Functions (Student).pdf | 308.5 KB | ||
| 8.1 Lecture 21 - Applications of Differentiation (Gradient, Tangent and Normal) - Student.pdf | 260.6 KB | ||
| 8.1 Lecture 33 - Integration by Parts (Proof).pdf | 243.6 KB | ||
| 8.1 Lecture 42 - Volume of Revolution Problem-Solving (Student).pdf | 264.9 KB | ||
| 8.2 Lecture 33 - Integration by Parts (Student).pdf | 251 KB | ||
| 9. Further Volume of Revolution Problem-Solving.html | 307.2 B | ||
| 9. Gradient, Tangent and Normal Problem-Solving.mp4 | 17.4 MB | ||
| 9. Gradient, Tangent and Normal Problem-Solving.srt | 3.6 KB | ||
| 9. Implicit Differentiation.mp4 | 14.6 MB | ||
| 9. Implicit Differentiation.srt | 4 KB | ||
| 9. Integration of Fractional Polynomials.mp4 | 20.8 MB | ||
| 9. Integration of Fractional Polynomials.srt | 3.2 KB | ||
| 9.1 Gradient, Tangent and N ormal Problem-Solving (Student).pdf | 251.1 KB | ||
| 9.1 Implicit Differentiation - Student.pdf | 245.6 KB | ||
| 9.1 Lecture 34 - Extension of Integration of Fractional Polynomials (Self-Read).pdf | 419.5 KB | ||
| 9.1 Lecture 43 - Further Volume of Revolution Problem-Solving (Solutions).pdf | 344.1 KB | ||
| 9.2 Lecture 34 - Integration of Fractional Polynomials (Student).pdf | 318.6 KB | ||
| 9.2 Lecture 43 - Further Volume of Revolution Problem-Solving (Student).pdf | 311.2 KB | ||
| Bonus Resources.txt | 409.6 B | ||
| Get Bonus Downloads Here.url | 204.8 B | ||
| ▲ 151 total files | |||
Master the Fundamentals of Calculus
https://TutPig.com
Last Updated 11/2021
MP4 | Video: h264, 1280x720 | Audio: AAC, 44.1 KHz, 2 Ch
Genre: eLearning | Language: English + srt | Duration: 47 lectures (3h 3m) | Size: 882.2 MB
Master the fundamentals of Calculus for GCE/IGCSE/IB Mathematics students
What you'll learn
Limits
Basic Techniques of Differentiation
Chain Rule, Product Rule and Quotient Rule
Differentiation of Algebraic Expressions
Differentiation of Trigonometric Functions
Differentiation of Exponential Functions
Differentiation of Logarithmic Functions
Concept of Stationary Points
Applications of Differentiation
Integration and its Relationship with Differentiation
Basic Techniques of Integration
Definite Integration
Applications of Integration
Requirements
Basic understanding of Trigonometry, Algebra, Indices, Exponential Functions, Logarithms, Graphing, Coordinate Geometry
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