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Master the fundamentals of calculus swiftly with our 'Learn to Differentiate and Integrate in 45 Minutes' course! Unlock the power of differentiation and integration in just 45 minutes, gaining essential skills for mathematical success. Join now for a quick and efficient journey into the core of calculus.

£22.99 inc. VAT
Course Access

1 year

Last Updated

December 22, 2023

Students Enrolled


Course Duration

51 minutes

Course Instructor
Calculus is all about derivatives and integrals, and in 45 minutes, this course will teach you how to do both. The goal of this brief, in-depth course is to provide students mastery of the principles and techniques of differentiation and integration.
This course is designed to equip students with a deep understanding of both differentiation and integration, the two primary operations in calculus. Differentiation involves the study of how functions change with respect to their inputs, enabling the analysis of slopes, rates, and instantaneous rates of change. On the other hand, integration focuses on the accumulation of quantities and the determination of areas under curves. Throughout the course, students will delve into the intricacies of finding derivatives and antiderivatives, exploring applications in physics, engineering, economics, and various other fields. The curriculum covers techniques of differentiation and integration, the fundamental theorem of calculus, and applications ranging from optimisation problems to modeling real-world scenarios. This course not only provides a solid theoretical foundation but also encourages the development of problem-solving skills essential for advanced studies in mathematics and its applications in diverse disciplines.

You will have the following skills after completing this course:

  • Be able to Differentiate in 25 minutes.
  • Be able to Integrate in 20 minutes.

Who will benefit from this course?

The target audience for a "Learn to Differentiate and Integrate in 45 Minutes" course would typically include students and professionals in fields that heavily rely on calculus, such as mathematics, physics, engineering, economics, computer science, and other related disciplines. Here are specific groups that might benefit from such a course:
  1. University Students:Mathematics, physics, engineering, and computer science students who are studying calculus as part of their academic curriculum. Students preparing for exams or assignments that involve differentiation and integration.
  2. High School Students:Advanced high school students who are studying calculus and want a quick overview or review of differentiation and integration concepts.
  3. Professionals:Engineers, scientists, economists, and other professionals who use calculus in their work and need a refresher or a quick introduction to these fundamental concepts.
  4. Self-Learners and Enthusiasts:Individuals interested in mathematics or those who want to enhance their understanding of calculus for personal development or out of curiosity.
  5. Test and Exam Preparation:Individuals preparing for standardised tests, competitive exams, or job interviews that include calculus-related questions.
  6. Anyone with Limited Time:Individuals who have a limited amount of time but want to gain a basic understanding of differentiation and integration quickly.
It's important to note that a 45-minute course may provide a brief overview or introduction, and the depth of understanding may vary based on individual background knowledge and learning preferences. The course could serve as a helpful supplement to existing coursework or as a quick review for those who need to refresh their knowledge of differentiation and integration.

Why Should You Take This Online Course?

  • Expertly Designed and Delivered by Industry Experts: Developed and delivered by MIRAN FATTAH - B.S. in Mathematics & Geophysics
  • Immediate Recognition with an Instant E-Certificate: After finishing our online course, you will receive an instant E-certificate. This certification acknowledges your dedication and successful course completion, allowing you to demonstrate your newly gained knowledge and skills to potential employers, colleagues, or clients. The E-certificate validates your accomplishments immediately, raising your professional standing.
  • Convenient Online Learning Experience: Because our course is entirely online, you may learn at your own pace and convenience. The course materials are accessible from anywhere and anytime, making it ideal for people with hectic schedules. The curriculum is delivered via captivating videos and extensive reading materials, creating a dynamic and interactive learning experience.
  • Self-paced Learning for Maximum Progress: We recognise that everyone has various learning styles and time commitments. As a result, our online course provides self-paced study. You can work through the course materials independently, allowing for a more personalised learning experience. Our course supports your individual learning preferences, whether you like to immerse yourself in the information or take it step by step.
  • Laptop, tablet, and smartphone compatibility: Our online course is device-compatible to improve accessibility. Whether you choose a laptop, tablet, or smartphone, you may easily access and interact with the course contents. This adaptability allows you to learn on the go, incorporating your studies into your everyday routine and maximising your learning possibilities.

Career prospects after completing this course:

Completing a "Learn to Differentiate and Integrate in 45 Minutes" course may not directly lead to specific career prospects, as a short course of this nature is likely to provide a brief overview or introduction to fundamental mathematical concepts. However, a solid understanding of differentiation and integration is crucial in various fields, and it can enhance your skills and qualifications, potentially leading to improved career prospects in the following ways:
  1. Academic Advancement: For students, a strong foundation in calculus is essential for pursuing advanced studies in mathematics, physics, engineering, economics, and related disciplines.
  2. STEM Careers: Differentiation and integration are fundamental tools in science, technology, engineering, and mathematics (STEM) fields. A good understanding of calculus is often required for careers in these areas.
  3. Engineering and Technology: Engineers and professionals in technology-related fields often use calculus in their work. A solid grasp of differentiation and integration can be beneficial for roles in areas like software development, data science, and quantitative analysis.
  4. Economics and Finance: In economics and finance, calculus is used for modeling and analysing economic systems. Professionals in these fields may benefit from a strong understanding of differentiation and integration.
  5. Physics and Applied Sciences: Physicists and scientists working in applied sciences frequently use calculus for modeling physical phenomena. A deeper understanding of differentiation and integration can be valuable in these careers.
  6. Preparation for Advanced Courses: A basic understanding of differentiation and integration is a prerequisite for more advanced mathematical courses. Completing this course may prepare individuals for more in-depth studies in calculus and related subjects.
  7. Problem-Solving Skills: The analytical and problem-solving skills developed through understanding differentiation and integration are transferable to various career paths, providing a valuable asset in a competitive job market.
While a short course may not be sufficient for comprehensive mastery of calculus, it can serve as a stepping stone or a refresher for those who need to strengthen their foundational knowledge. Ultimately, career prospects will be influenced by a combination of educational background, skills, experience, and the specific requirements of the chosen field or industry.

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Course Content

    • Promo 00:01:00
    • What is a Derivative 00:03:00
    • Constant Rule 00:02:00
    • Constant Multiple Rule 00:02:00
    • Sum or Difference Rule 00:03:00
    • Power Rule 00:08:00
    • Product Rule 00:04:00
    • Quotient Rule 00:03:00
    • Chain Rule 00:03:00
    • What is an Integral 00:03:00
    • Constant Rule 00:01:00
    • Power Rule 00:03:00
    • Sum or Difference Rule 00:03:00
    • Integration by Parts 00:05:00
    • Substitution Rule 00:07:00
    • Get Your Certificate & Transcript 00:00:00

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