Udemy – Calculus 2, part 1 of 2: Integrals with applications 2024-9

Apr 18, 2025 - 10:20

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Calculus 2, part 1 of 2: Integrals with applications is a training course on the concepts of integral calculus, published by the online academy of Udemy. Calculus 2, part 1 of 2: Integrals with applications is a detailed course that covers the concepts of integral calculus and focuses on theoretical understanding and practical applications. This course covers basic topics such as definite and indefinite integrals, integration techniques, and the fundamental theorem of calculus. Students will explore various methods of integration, including substitution, integration by parts, and fractional fractions.

Practical applications, such as finding areas under curves, calculating volumes of rotating solids, and solving real-world problems involving rates of change are also emphasized. This course covers key integration methods, such as substitution and integration by parts, with a focus on applications such as areas under curves and volumes of solids. This course is designed to help students develop problem-solving skills and gain a deeper understanding of how integrals are used in various fields of science and engineering. By the end, students will be proficient in using integrals to solve complex math problems.

What you will learn in Calculus 2, part 1 of 2: Integrals with applications:

Integration of exponential functions with the help of partial fraction decomposition
Different types of trigonometric integral and how to handle them
Euler substitutions
Triangle replacement
Using FTC to calculate derivatives of functions defined by Riemann integrals with variable limits (one or both) of integration
Integration of continuous functions in closed intervals
Proof of monotonic continuity of continuous functions in a closed finite interval
and…

Course specifications

Publisher: Udemy
Instructors: Hania Uscka-Wehlou and Martin Wehlou
Language: English
Level: Intermediate
Number of Lessons: 262
Duration: 56 hours and 46 minutes

Course topics

Calculus 2 part 1 of 2 Integrals with applications Content

Calculus 2, part 1 of 2: Integrals with applications Prerequisites

Precalculus (Basic notions, Polynomials and rational functions, Trigonometry, Exponentials and logarithms)
Calculus 1: Limits and continuity (or equivalent)
Calculus 1: Derivatives with applications (or equivalent)
You are always welcome with your questions. If something in the lectures is unclear, please, ask. It is best to use QA, so that all the other students can see my additional explanations about the unclear topics. Remember: you are never alone with your doubts, and it is to everybody’s advantage if you ask your questions on the forum.

Udemy – Calculus 2, part 1 of 2: Integrals with applications 2024-9