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

139,000 تومان

خرید اشتراک افزودن به سبد خرید

خرید دانلودی فوری

در این روش نیاز به افزودن محصول به سبد خرید و تکمیل اطلاعات نیست و شما پس از وارد کردن ایمیل خود و طی کردن مراحل پرداخت لینک های دریافت محصولات را در ایمیل خود دریافت خواهید کرد.

تولید کننده: Udemy-Training