Techniques of Differentiation — Single-Variable Calculus
$ 8.58
[FUTA, Akure] MTS 102: Introductory Mathematics IIThis learning track is structured for first-year students at the Federal University of Technology, Akure (FUTA) and mirrors the standard second-semester coverage of elementary calculus. It begins with single-variable functions and their graphs, then walks learners through limits, continuity, differentiation techniques, and curve sketching—just as covered in the official MTS 102 outline.
You’ll also explore anti-derivatives and integration, learning both the techniques and how to apply them to solve practical problems in science and engineering contexts. Everything is broken down into short, focused video lessons that keep things clear and manageable, especially for students who might be engaging this content for the first time.
If you're not a FUTA student but need to build a solid foundation in these same topics, this track can serve you just as well. The structure and explanations are universal, ensuring that learners with similar academic goals can benefit fully.
This learning track is structured for first-year students at the Federal University of Technology, Akure (FUTA) and mirrors the standard second-semester coverage of elementary calculus. It begins with single-variable functions and their graphs, then walks learners through limits, continuity, differentiation techniques, and curve sketching—just as covered in the official MTS 102 outline. You’ll also explore anti-derivatives and integration, learning both the techniques and how to apply them to solve practical problems in science and engineering contexts. Everything is broken down into short, focused video lessons that keep things clear and manageable, especially for students who might be engaging this content for the first time. If you're not a FUTA student but need to build a solid foundation in these same topics, this track can serve you just as well. The structure and explanations are universal, ensuring that learners with similar academic goals can benefit fully.
[UNILAG, Akoka] MTH 102: Elementary Mathematics IIThis learning track is designed to guide first-year students at the University of Lagos through key concepts in calculus, beginning with the fundamentals of single-variable functions and their graphs. It builds gradually into the core topics of limits, continuity, and differentiability, with each course tailored to simplify these foundational ideas for early learners.
The focus is not just on theory but also on building the skill to solve problems confidently, especially those typically encountered in university-level exams. You’ll move from understanding the concept of a limit to mastering how derivatives work and how to apply them to sketch curves and analyze function behavior.
Although built for UNILAG students, this track is suitable for anyone looking to strengthen their understanding of introductory calculus at the university level. Whether you're preparing for school assessments or seeking a solid refresher, this track will help you follow a structured path.
This learning track is designed to guide first-year students at the University of Lagos through key concepts in calculus, beginning with the fundamentals of single-variable functions and their graphs. It builds gradually into the core topics of limits, continuity, and differentiability, with each course tailored to simplify these foundational ideas for early learners. The focus is not just on theory but also on building the skill to solve problems confidently, especially those typically encountered in university-level exams. You’ll move from understanding the concept of a limit to mastering how derivatives work and how to apply them to sketch curves and analyze function behavior. Although built for UNILAG students, this track is suitable for anyone looking to strengthen their understanding of introductory calculus at the university level. Whether you're preparing for school assessments or seeking a solid refresher, this track will help you follow a structured path.
Course Chapters
1Introduction
Meaning of functions, single-variable real-valued functions, dependent and independent variables, domain of functions.
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2The Derivative
Meaning of increments, limits of functions, and the derivative.
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3First-Principle Differentiation
Differentiation of some general polynomial terms and trigonometric functions from the first principles.
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4Rules of Differentiation
Derivative of a constant, sum and difference of two functions, product and quotient of two functions.
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5Chain Rule
Differentiation of composite functions by the chain rule of differentiation.
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6Implicit Differentiation
Differentiation of implicitly-defined functions.
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7Trigonometric Functions
Differentiation of trigonometric functions.
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8Inverse Trigonometric Functions
Differentiation of inverse trigonometric functions.
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9Exponential Functions
Differentiation of exponential functions and its rules.
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10Logarithmic Functions
Differentiation of logarithmic functions and its rules.
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11Parametric Equations
Differentiation of parametric equations and its rules.
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12Hyperbolic Functions
Differentiation of hyperbolic functions and its rules.
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13Inverse Hyperbolic Functions
Differentiation of Inverse hyperbolic functions, and its rules.
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14Higher Derivatives
Successive differentiation and its rules.
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15Applications of Differentiation
Some applications of differentiation of single-variable functions - tangents and normals to curves, curve sketching, maximum and minimum values of functions.
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