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Fundamentals of Calculus
Fundamentals of Calculus
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Level 7
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Learning Outcome
- Learn about the fundamental concepts and formal definition of a limit and know how to solve problems.
- Know about continuity, and it’s various types.
- Understand related rates, linearisation, and optimisation.
- Acquire an in-depth understanding of the sandwich theorem and know how to apply it.
- Know about derivatives and use them to solve mathematical problems.
Description
Become a skilled person from the safety and comfort of your own home by taking this Fundamentals of Calculus Course. Whatever your situation and requirements, One Education can supply you with qualitative teaching, gained from industry experts, and brought to you for a great price with a limited-time discount.
One Education has been proud to produce an extensive range of best-selling courses, and Fundamentals of Calculus is one of our best offerings. It is crafted specially to promote easy learning at any location with an online device. Each topic has been separated into digestible portions that can be memorised and understood in a minimum time.
Teaching and training are more than just a job for the staff at One Education; we take pride in employing those who share our vision for e-learning and its importance in today’s society. To prove this, all learning materials for each course are available for at least one year after the initial purchase.
All of our tutors and IT help desk personal are available to answer any questions regarding your training or any technical difficulties.
By completing Fundamentals of Calculus, you will have automatically earned an e-certificate that is industry-attested and will be a great addition to your competencies on your CV.
Whatever your reason for studying Fundamentals of Calculus, make the most of this opportunity from One Education and excel in your chosen field.
Please be aware that there are no sudden exam charges and no other kind of unexpected payments. All costs will be made very clear before you even attempt to sign up.
Course design
The course is delivered through our online learning platform, accessible through any internet-connected device. There are no formal deadlines or teaching schedules, meaning you are free to study the course at your own pace.
You are taught through a combination of
- Video lessons
- Online study materials
Certificate of Achievement
Endorsed Certificate of Achievement from the Quality Licence Scheme
After successfully completing the course, learners will be able to order an endorsed certificate as proof of their new achievement. Endorsed certificates can be ordered and get delivered to your home by post for only £129. There is an additional £10 postage charge for international students.
CPD Certification from One Education
After successfully completing the assessment of this course, you will qualify for the CPD Certificate from One Education as proof of your continued skill development. Certification is available in PDF format, at the cost of £9, or a hard copy can be sent to you via post, at the cost of £15.
Endorsement
This course has been endorsed by the Quality Licence Scheme for its high-quality, non-regulated provision and training programmes. This course is not regulated by Ofqual and is not an acknowledged lesson. One Education will be able to advise you on any further recognition, for example, progression routes into further and/or higher education. For further information, please visit the Learner FAQs on the Quality Licence Scheme website.
Method of Assessment
To assess your learning, you have to complete the assignment questions provided at the end of the course. You have to score at least 60% to pass the exam and to qualify for Quality Licence Scheme endorsed, and CPD endorsed certificates.
After submitting the assignment, our expert tutor will assess your assignment and will give you feedback on your performance.
After passing the assignment exam, you will be able to apply for a certificate.
WHY STUDY THIS COURSE
It doesn’t matter if you are an aspiring expert or absolute beginner; this course will enhance your expertise and boost your CV with critical skills and an endorsed experience attesting to your knowledge.
The Fundamentals of Calculus is fully available to anyone, and no previous basics are needed to enrol. All One Education needs to know is that you are eager to learn and are over 16.
Course Curriculum
| Unit 01: Supplements | |||
| 1.1 Number Sets | 00:10:00 | ||
| 1.2 Graphing Tools | 00:06:00 | ||
| Unit 02: Functions | |||
| 2.1 Introduction | 00:01:00 | ||
| 2.2 Functions | 00:15:00 | ||
| 2.3 Evaluating a Function | 00:13:00 | ||
| 2.4 Domain | 00:16:00 | ||
| 2.5 Range | 00:05:00 | ||
| 2.6 One to One Function | 00:09:00 | ||
| 2.7 Inverse Functions | 00:10:00 | ||
| 2.8 Exponential Functions | 00:05:00 | ||
| 2.9 The Natural Exponential Function | 00:06:00 | ||
| 2.10 Logarithms | 00:13:00 | ||
| 2.11 Natural Logarithms | 00:07:00 | ||
| 2.12 Logarithm Laws | 00:06:00 | ||
| 2.13 Trigonometric Ratios | 00:15:00 | ||
| 2.14 Evaluating Trig Functions and Points | 00:18:00 | ||
| 2.15 Inverse Trigonometric Functions | 00:12:00 | ||
| Unit 03 Limits | |||
| 3.1 Introduction | 00:01:00 | ||
| 3.2 What is a Limit? | 00:17:00 | ||
| 3.3 Examples | 00:15:00 | ||
| 3.4 One-Sided Limits | 00:12:00 | ||
| 3.5 The Limit Laws | 00:08:00 | ||
| 3.6 Examples | 00:15:00 | ||
| 3.7 More Examples | 00:15:00 | ||
| 3.8 The Squeeze (Sandwich) Theorem | 00:09:00 | ||
| 3.9 Examples | 00:10:00 | ||
| 3.10 Precise Definition of Limits | 00:08:00 | ||
| 3.11 Examples | 00:15:00 | ||
| 3.12 limits at Infinity | 00:21:00 | ||
| 3.13 Examples | 00:15:00 | ||
| 3.14 Asymptotes and Limits at Infinity | 00:10:00 | ||
| 3.15 Infinite Limits | 00:12:00 | ||
| Unit 04: Continuity | |||
| 4.1 Introduction | 00:01:00 | ||
| 4.2 Continuity | 00:12:00 | ||
| 4.3 Types of Discontinuity | 00:12:00 | ||
| 4.4 Examples | 00:17:00 | ||
| 4.5 Properties of Continuous Functions | 00:11:00 | ||
| 4.6 Intermediate Value Theorem for Continuous Functions | 00:06:00 | ||
| Unit 05: Derivatives | |||
| 5.1 Introduction | 00:01:00 | ||
| 5.2 Average Rate of Change | 00:09:00 | ||
| 5.3 Instantaneous Rate of Change | 00:12:00 | ||
| 5.4 Derivative Definition | 00:14:00 | ||
| 5.5 Examples | 00:10:00 | ||
| 5.6 Non-Differentiability | 00:06:00 | ||
| 5.7 Constant and Power Rule | 00:09:00 | ||
| 5.8 Constant Multiple Rule | 00:07:00 | ||
| 5.9 Sum and Difference Rule | 00:07:00 | ||
| 5.10 Product Rule | 00:14:00 | ||
| 5.11 Quotient Rule | 00:08:00 | ||
| 5.12 Chain Rule | 00:14:00 | ||
| 5.13 Examples | 00:09:00 | ||
| 5.14 Derivative Symbols | 00:04:00 | ||
| 5.15 Graph of Derivatives | 00:10:00 | ||
| 5.16 Higher Order Derivatives | 00:08:00 | ||
| 5.17 Equation of the Tangent Line | 00:07:00 | ||
| 5.18 Derivative of Trig Functions | 00:07:00 | ||
| 5.19 Examples | 00:19:00 | ||
| 5.20 Derivative of Inverse Trig Functions | 00:08:00 | ||
| 5.21 Examples | 00:12:00 | ||
| 5.22 Implicit Differentiation | 00:17:00 | ||
| 5.23 Derivative of Inverse Functions | 00:13:00 | ||
| 5.24 Derivative of the Natural Exponential Function | 00:11:00 | ||
| 5.25 Derivative of the Natural Logarithm Function | 00:07:00 | ||
| 5.26 Derivative of Exponential Functions | 00:06:00 | ||
| 5.27 Derivative of Logarithmic Functions | 00:06:00 | ||
| 5.28 Logarithmic Differentiation | 00:15:00 | ||
| Unit 06: Application of Derivatives | |||
| 6.1 Introduction | 00:01:00 | ||
| 6.2 Related Rates | 00:08:00 | ||
| 6.3 Examples | 00:13:00 | ||
| 6.4 More Example | 00:09:00 | ||
| 6.5 More Example | 00:10:00 | ||
| 6.6 Optimisation | 00:16:00 | ||
| 6.7 Example | 00:11:00 | ||
| 6.8 More Example | 00:07:00 | ||
| 6.9 Extreme Values of Functions | 00:12:00 | ||
| 6.10 Critical Points | 00:08:00 | ||
| 6.11 Examples (First Derivative Test) | 00:16:00 | ||
| 6.12 More Examples | 00:18:00 | ||
| 6.13 Concavity | 00:15:00 | ||
| 6.14 Examples | 00:13:00 | ||
| 6.15 Second Derivative Test | 00:08:00 | ||
| 6.16 Graphing Functions | 00:08:00 | ||
| 6.17 Examples | 00:21:00 | ||
| 6.18 L’ Hôpital’s Rule | 00:12:00 | ||
| 6.19 Other Indeterminate Forms | 00:15:00 | ||
| 6.20 Rolle’s Theorem | 00:09:00 | ||
| 6.21 The Mean Value Theorem | 00:19:00 | ||
| 6.22Application of the Mean Value Theorem | 00:04:00 | ||
| Resources | |||
| Resource – Fundamentals of Calculus | 00:00:00 | ||
| Assignment | |||
| Assignment – Fundamentals of Calculus | 3 weeks, 3 days | ||
| Order Your Certificate | |||
| Order Your Certificate QLS | 00:00:00 | ||
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