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خانه » فروشگاه » آموزش علوم درسی و دانشگاهی » ریاضی » Master the Fundamentals of Calculus

Master the Fundamentals of Calculus

سرفصل های دوره

Master the fundamentals of Calculus for GCE/IGCSE/IB Mathematics students.


1. Introduction to Differentiation
  • 1.1 Lecture 1 - Introduction to Differentiation.pdf
  • 1. Introduction to Differentiation
  • 2.1 Differentiation from First Principle - Student.pdf
  • 2. Differentiation from First Principle

    • 2. Basic Differentiation Properties and Techniques
  • 1.1 Basic Differentiation Properties and Techniques - Student.pdf
  • 1. Basic Differentiation Properties and Techniques
  • 2.1 Chain Rule - Student.pdf
  • 2. Chain Rule
  • 3.1 Product Rule - Student.pdf
  • 3. Product Rule
  • 4.1 Quotient Rule - Student.pdf
  • 4. Quotient Rule
  • 5.1 Differentiation of Trigonometric Functions - Student.pdf
  • 5. Differentiation of Trigonometric Functions
  • 6.1 Differentiation of Inverse Trigonometric Functions - Student.pdf
  • 6.2 Proof of the Inverse Trigonometric Functions Derivatives.pdf
  • 6. Differentiation of Inverse Trigonometric Functions
  • 7.1 Differentiation of Exponential Functions (Student).pdf
  • 7. Differentiation of Exponential Functions
  • 8.1 Differentiation of Logarithmic Functions (Student).pdf
  • 8. Differentiation of Logarithmic Functions
  • 9.1 Implicit Differentiation - Student.pdf
  • 9. Implicit Differentiation
  • 10.1 Parametric Differentiation - Student.pdf
  • 10. Parametric Differentiation
  • 11.1 Differentiation Techniques Practices (Student).pdf
  • 11. Differentiation Techniques Practices

    • 3. Applications of Differentiation
  • 1.1 Applications of Differentiation (Increasing & Decreasing Functions) - Student.pdf
  • 1. Applications of Differentiation (Increasing & Decreasing Functions)
  • 2.1 Applications of Differentiation (Concavity of Functions) - Student.pdf
  • 2. Applications of Differentiation (Concavity of Functions)
  • 3.1 Applications of Differentiation (Stationary Points) - Student.pdf
  • 3. Applications of Differentiation (Stationary Points)
  • 4.1 Applications of Differentiation (Maxima & Minima Problems) - Student.pdf
  • 4. Applications of Differentiation (Maxima and Minima)
  • 5.1 Maxima and Minima Problem-Solving - Student.pdf
  • 5. Maxima and Minima Problem-Solving
  • 6.1 Applications of Differentiation (Connected Rate of Change) - Student.pdf
  • 6. Applications of Differentiation (Connected Rates of Change)
  • 7.1 Lecture 20 - Connected Rate of Change Problem-Solving (Student).pdf
  • 7. Connected Rates of Change Problem-Solving
  • 8.1 Lecture 21 - Applications of Differentiation (Gradient, Tangent and Normal) - Student.pdf
  • 8. Applications of Differentiation (Gradient, Tangent and Normal)
  • 9.1 Gradient, Tangent and N ormal Problem-Solving (Student).pdf
  • 9. Gradient, Tangent and Normal Problem-Solving
  • 10.1 Applications of Differentiation - Kinematics (Student).pdf
  • 10. Applications of Differentiation (Kinematics)
  • 11.1 Lecture 24 - Kinematics Problem-Solving (Student).pdf
  • 11. Kinematics Problem-Solving

    • 4. Quiz 1
  • 1. Quiz 1.html

    • 5. Introduction to Integration
  • 1.1 Lecture 25 - Introduction to Integration notes.pdf
  • 1. Introduction to Integration

    • 6. Basic Integration Properties and Techniques
  • 1.1 Lecture 26 - Basic Integration Properties and Techniques (Student).pdf
  • 1. Basic Integration Properties and Techniques
  • 2.1 Lecture 27 - Integration of Trigonometric Functions (Student).pdf
  • 2.2 Notes on Basic Trigonometric Integration.pdf
  • 2. Integration of Trigonometric Functions
  • 3.1 Lecture 28 - Integration of Functions to obtain Inverse Trigonometric Functions (Student).pdf
  • 3. Integration of Functions to obtain Inverse Trigonometric Functions
  • 4.1 Lecture 29 - Integration of Exponential and Logarithmic Functions (Student).pdf
  • 4. Integration of Exponential and Logarithmic Functions
  • 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
  • 5. Integration of f(x) over [a^2-f(x)^2] or f(x) over [f(x)^2-a^2]
  • 6.1 Lecture 31 - Additional Trigonometric Integrals using Factor Formula (Self-Read).pdf
  • 6.2 Lecture 31 - Miscellaneous Trigonometric Integrals (Student).pdf
  • 6. Miscellaneous Trigonometric Integrals
  • 7.1 Lecture 32 - Definite Integration by Substitution (extra self-study notes).pdf
  • 7.2 Lecture 32 - Integration by Substitution (Student).pdf
  • 7. Integration by Substitution
  • 8.1 Lecture 33 - Integration by Parts (Proof).pdf
  • 8.2 Lecture 33 - Integration by Parts (Student).pdf
  • 8. Integration by Parts
  • 9.1 Lecture 34 - Extension of Integration of Fractional Polynomials (Self-Read).pdf
  • 9.2 Lecture 34 - Integration of Fractional Polynomials (Student).pdf
  • 9. Integration of Fractional Polynomials

    • 7. Applications of Integration
  • 1.1 Lecture 35 - Applications of Integration notes (Limiting Sum and Definite Integrals) notes.pdf
  • 1. Applications of Integration (Limiting Sums and Definite Integrals)
  • 2.1 Lecture 36 - Applications of Integration (Area under Curve) Student.pdf
  • 2. Applications of Integration (Area under a Curve)
  • 3.1 Lecture 37 - Area under a Curve Problem.pdf
  • 3. Area under a Curve Problem-Solving
  • 4.1 Lecture 38 - Applications of Integration (Area between two curves) Student.pdf
  • 4. Applications of Integration (Area between two Curves)
  • 5.1 LECTUR~1.PDF
  • 5. Applications of Integration (Evaluating Areas of Parametric Equations)
  • 6.1 Lecture 40 - Volume of Revolution with x-axis (Student).pdf
  • 6. Applications of Integration (Volume of Revolution with x-axis)
  • 7.1 Lecture 41 - Volume of Revolution with y-axis (Student).pdf
  • 7. Applications of Integration (Voume of Revolution with y-axis)
  • 8.1 Lecture 42 - Volume of Revolution Problem-Solving (Student).pdf
  • 8. Volume of Revolution Problem-Solving
  • 9.1 Lecture 43 - Further Volume of Revolution Problem-Solving (Solutions).pdf
  • 9.2 Lecture 43 - Further Volume of Revolution Problem-Solving (Student).pdf
  • 9. Further Volume of Revolution Problem-Solving.html

    • 8. Quiz 2
  • 1. Quiz 2.html

    • 9. Further Calculus Concepts, Problems and Quiz Solutions
  • 1.1 Quiz 1 Solutions.pdf
  • 1.2 Quiz 2 Solutions.pdf
  • 1. Solutions for Quiz 1 and 2.html
  • 2.1 Lecture 45 - Optimization with Constraints (Student).pdf
  • 2. Optimization with Constraints
  • 3.1 Further Practice Problem 1 - Student.pdf
  • 3. Further Practice Problem 1
  • 4.1 Further Practice Problem 2 - (iii) Exact Volume.pdf
  • 4.2 Further Practice Problem 2 - Student.pdf
  • 4. Lecture 47 Further Practice Problem 2
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    تاریخ انتشار: ۲۲ دی ۱۴۰۱
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