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Calculus: Single Variable Part 3 - Integration

Approx. 17 hours to complete

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Course Summary

This course focuses on the fundamental concepts of integration and calculus. It covers topics such as integration techniques, applications of integration, and infinite sequences and series.

Key Learning Points

Learn various integration techniques and their applications
Understand the concept of infinite sequences and series
Explore real-world applications of calculus

Job Positions & Salaries of people who have taken this course might have

- USA: $63,000 - $114,000
- India: ₹300,000 - ₹1,200,000
- Spain: €22,000 - €45,000
- USA: $63,000 - $114,000
- India: ₹300,000 - ₹1,200,000
- Spain: €22,000 - €45,000
- USA: $52,000 - $90,000
- India: ₹350,000 - ₹1,200,000
- Spain: €22,000 - €40,000
- USA: $63,000 - $114,000
- India: ₹300,000 - ₹1,200,000
- Spain: €22,000 - €45,000
- USA: $52,000 - $90,000
- India: ₹350,000 - ₹1,200,000
- Spain: €22,000 - €40,000
- USA: $61,000 - $122,000
- India: ₹400,000 - ₹2,000,000
- Spain: €25,000 - €50,000

Learning Outcomes

Develop an understanding of the fundamental concepts of calculus
Learn how to apply integration techniques to solve problems
Understand the concept of infinite sequences and series and their applications

Prerequisites or good to have knowledge before taking this course

Basic knowledge of algebra and trigonometry
Familiarity with the concepts of limits and derivatives

Course Difficulty Level

Intermediate

Course Format

Self-paced
Video Lectures
Quizzes

Similar Courses

Differential Equations: 2nd Order
Multivariable Calculus
Linear Algebra

Related Education Paths

Related Books

Description

Calculus is one of the grandest achievements of human thought, explaining everything from planetary orbits to the optimal size of a city to the periodicity of a heartbeat. This brisk course covers the core ideas of single-variable Calculus with emphases on conceptual understanding and applications. The course is ideal for students beginning in the engineering, physical, and social sciences. Distinguishing features of the course include: 1) the introduction and use of Taylor series and approximations from the beginning; 2) a novel synthesis of discrete and continuous forms of Calculus; 3) an emphasis on the conceptual over the computational; and 4) a clear, dynamic, unified approach.

Outline

Integrating Differential Equations
Indefinite Integrals
A Simple O.D.E.
More O.D.E.s
O.D.E. Linearization
BONUS!
How Grading Works
Your Guide to Getting Started in this Course
Core Homework: Indefinite Integrals
Challenge Homework: Indefinite Integrals
Core Homework: A Simple O.D.E.
Challenge Homework: A Simple O.D.E.
Core Homework: More O.D.E.s
Challenge Homework: More O.D.E.s
Core Homework: O.D.E. Linearization
Challenge Homework: O.D.E. Linearization

Techniques of Integration
Integration by Substitution
Integration by Parts
Trig Substitution
BONUS!
Partial Fractions
BONUS!
Core Homework: Integration by Substitution
Challenge Homework: Integration by Substitution
Core Homework: Integration by Parts
Challenge Homework: Integration by Parts
Core Homework: Trig Substitution
Challenge Homework: Trig Substitution
Core Homework: Partial Fractions
Challenge Homework: Partial Fractions

The Fundamental Theorem of Integral Calculus
Definite Integrals
The F.T.I.C.
BONUS!
Core Homework: Definite Integrals
Core Homework: The F.T.I.C.
Challenge Homework: The F.T.I.C.

Dealing with Difficult Integrals
Improper Integrals
BONUS!
Trigonometric Integrals
Tables and Software
About the Chpater 3 Exam
Core Homework: Improper Integrals
Challenge Homework: Improper Integrals
Core Homework: Trigonometric Integrals
Challenge Homework: Trigonometric Integrals
Challenge Homework: Tables and Software
Chapter 3: Integration - Exam

Summary of User Reviews

The Integration and Calculus course on Coursera has received positive reviews from learners. Students found the course to be well-structured and engaging, with clear explanations and ample practice problems. One key aspect that many users appreciated was the instructor's teaching style, which was described as friendly and approachable.

Pros from User Reviews

Well-structured and engaging course
Clear explanations and ample practice problems
Friendly and approachable instructor
Great for beginners

Cons from User Reviews

Challenging for those without a strong math background
Some users found the pace to be too slow
Limited interaction with other students
Not enough real-world applications

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