Introduction To Calculus ( Complete Course )

💠💠About this Course💠💠
The focus and themes of the Introduction to Calculus course address the most important foundations for applications of mathematics in science, engineering and commerce. The course emphasises the key ideas and historical motivation for calculus, while at the same time striking a balance between theory and application, leading to a mastery of key threshold concepts in foundational mathematics.

Students taking Introduction to Calculus will:
• gain familiarity with key ideas of precalculus, including the manipulation of equations and elementary functions (first two weeks),
• develop fluency with the preliminary methodology of tangents and limits, and the definition of a derivative (third week),
• develop and practice methods of differential calculus with applications (fourth week),
• develop and practice methods of the integral calculus (fifth week).

⭐⭐⭐⭐🕑TIME STAMP📋⭐⭐⭐⭐⭐
👉 👉 PRECALCULUS (SETTING THE SCENCE)
0:00:00 Introduction to the Course
0:04:16 Numbers and their Representations
0:41:54 Equations inequalities and Solutions Sets
1:20:21 The Cartesian Plane and distance

👉 👉 FUNCTIONS (USEFUL AND IMPORTANT REPERTOIR)
1:49:11 Introduction
1:50:54 Parabolas quadratics and the quadratic formula
2:13:21 Functions Compositions and Inversion
2:58:04 Exponential and Logarithmic Functions
3:33:23 Circuclar Functions and Trignomentry

I👉 👉 NTRODUCTION THE DIFFERENTIAL CALCULUS
4:11:41 Introduction
4:13:35 Rates of change and tangent lines
4:45:17 Limits
5:22:49 The derivative
5:48:05 Leibniz notation and differentials

👉 👉 PROPERTIES AND APPLICATIONS OF THE DERIVATIVE
6:23:39 Introduction
6:25:14 First Derivatives and turning points
7:00:51 Second Derivatives and curve sketching
7:27:45 The chain rule
7:51:59 The Product rule
8:10:21 The Quotient rule
8:29:30 Optimisation

👉 👉 INTRODUCTION THE INTEGRAL CALCULUS
8:58:19 Introduction
9:00:46 Velocity and displacement
9:15:46 Area under Curves riemann sums and definite integrals
9:50:48 The Fundamental Theorem of Calculus and indefinte integrals
10:27:00 Integration by Substitution
10:46:26 Symmetry and the logistic function
11:24:49 Conclusion

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[Nerdsacademy]

⭐ Time Stamp ⭐
PRECALCULUS (SETTING THE SCENCE)
0:00:00 Introduction to the Course
0:04:16 Numbers and their Representations
0:41:54 Equations inequalities and Solutions Sets
1:20:21 The Cartesian Plane and distance

FUNCTIONS (USEFUL AND IMPORTANT REPERTOIR)
1:49:11 Introduction
1:50:54 Parabolas quadratics and the quadratic formula
2:13:21 Functions Compositions and Inversion
2:58:04 Exponential and Logarithmic Functions
3:33:23 Circuclar Functions and Trignomentry

INTRODUCTION THE DIFFERENTIAL CALCULUS
4:11:41 Introduction
4:13:35 Rates of change and tangent lines
4:45:17 Limits
5:22:49 The derivative
5:48:05 Leibniz notation and differentials

PROPERTIES AND APPLICATIONS OF THE DERIVATIVE
6:23:39 Introduction
6:25:14 First Derivatives and turning points
7:00:51 Second Derivatives and curve sketching
7:27:45 The chain rule
7:51:59 The Product rule
8:10:21 The Quotient rule
8:29:30 Optimisation

INTRODUCTION THE INTEGRAL CALCULUS
8:58:19 Introduction
9:00:46 Velocity and displacement
9:15:46 Area under Curves riemann sums and definite integrals
9:50:48 The Fundamental Theorem of Calculus and indefinte integrals
10:27:00 Integration by Substitution
10:46:26 Symmetry and the logistic function
11:24:49 Conclusion

[okaudi]

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[Shashank_Shahi]

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[trickyepithet]

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[luthfiaminulloh]

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[muzamilnizamani]

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