Introduction to Calculus

The Introduction to Calculus course focuses on the most critical foundations for mathematical applications in science, engineering, and business. The course emphasizes the fundamental ideas and historical inspiration for calculus while also establishing a balance between theory and application, resulting in mastery of critical threshold topics in foundational mathematics. This is one of the best online calculus courses.

Introduction to Calculus students will be able to:

• Gain knowledge with key concepts in precalculus, such as equation manipulation and basic functions (first two weeks). This module begins with an examination of the many types of numbers that fall on the real number line, as well as decimal expansions and approximations, before moving on to the manipulation of equations and inequalities, as well as the use of sign diagrams and the Cartesian plane.
• Develop familiarity with the fundamentals of tangents and limits, as well as the definition of a derivative (third week). This module teaches the concept of a function, which encapsulates the specific manner in which various values or measurements are related. The quadratic, cubic, and general power and polynomial functions, as well as exponential and logarithmic functions and trigonometric functions, are covered in this module.
• Develop and practice differential calculus methods with real-world applications (fourth week). This module presents differential calculus techniques. The lesson teaches Leibniz notation and demonstrates how to use it to quickly obtain information about a function's derivative as well as how to apply it.
• Develop and practice integral calculus methods (fifth week). The first and second derivatives of a function are introduced in this module, which continues the development of differential calculus. The lesson also covers how to use the Chain Rule, Product Rule, and Quotient Rule to determine derivatives of complicated functions derived from simpler functions, as well as how to use derivative information to solve challenging optimisation issues.

Skills you will gain

• Logic
• Mathematics
• Calculus

Instructor: David Easdown

Coursera rate: 4.8/5.0, 2.878 ratings

Offered by: The University of Sydney

Enroll here: https://www.coursera.org/learn/introduction-to-calculus