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Updated in [August 13th, 2023]

Skills and Knowledge Acquired:
This course on Differential Calculus will provide students with the skills and knowledge necessary to understand the fundamentals of the subject. Students will learn the basics of differentiation, including the rules of differentiation, the chain rule, and the product rule. They will also gain an understanding of the application of differentiation to solve problems, as well as the use of derivatives to find the maximum and minimum values of a function. Additionally, students will be able to use the techniques of integration to solve problems, and will gain an understanding of the application of integration to solve problems. Finally, students will be able to use the techniques of differential equations to solve problems.


Contribution to Professional Growth:
This course on Differential Calculus provides an introduction to the subject and is designed to help students gain a good primer on the topic. It is also beneficial for those who need a refresher. The course is structured in a way that progresses from the basics to more complex topics, and it is recommended that students do not skip any part of the lectures. Quizzes are included to help strengthen understanding and fluency. The instructor is experienced and has chosen words and examples carefully to ensure that everyone gets the most out of the lectures. This course can contribute to professional growth by providing a comprehensive introduction to Differential Calculus, which can be beneficial for those in a variety of fields.


Suitability for Further Education:
This course is suitable for preparing further education, as it provides a comprehensive introduction to Differential Calculus. It covers a range of topics, from the basics to more complex concepts, and includes quizzes to help strengthen understanding. The course is taught by an experienced teacher, who has chosen words and examples carefully to ensure that students get the most out of the lectures. This makes it an ideal course for secondary school students, as well as those looking for a refresher.

Course Syllabus

Introduction

Limits and Instantaneous Gradient of a Curve

Derivation of Differential Formula

Differentiation of Polynomial Functions

Tangent and Normal Lines

Characterization of Polynomial Curves

Problem Solving using Maximum & Minimum Values

Differential as Rate of Change

Conclusion