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Calculus 1 Mastered: A comprehensive course covering functions, limits, continuity, derivatives, and their real-world applications. Build a strong foundation in calculus with practical insights and supplementary resources.

£39.99 inc. VAT
Course Access

1 year

Last Updated

December 27, 2023

Students Enrolled

3

Course Duration

15 hours, 27 minutes

Course Instructor
Certification
Calculus 1 Mastered is a comprehensive course designed to provide students with a solid understanding of foundational calculus concepts. The course is structured into key modules, each focusing on essential topics to ensure a well-rounded mastery of Calculus 1. Beginning with an exploration of functions, students delve into the fundamental building blocks of calculus, understanding how various mathematical expressions represent relationships between variables. The course then progresses to the critical concepts of limits and continuity, emphasizing the significance of these mathematical tools in approaching real-world problem-solving.
The heart of the course lies in the exploration of derivatives, where students thoroughly examine the principles governing rates of change and instantaneous motion. Through rigorous study and practical applications, participants gain expertise in calculating derivatives and interpreting their implications in diverse scenarios. The course culminates with an in-depth exploration of the applications of derivatives, showcasing the practical relevance of calculus in fields such as physics, economics, and biology. Supplementary materials complement the core content, providing additional resources to reinforce learning and deepen understanding. Calculus 1 Mastered equips students with a comprehensive skill set, enabling them to confidently apply calculus concepts to solve complex problems and prepare for advanced coursework in mathematics and related disciplines.

You will have the following skills after completing this course:

  • Understand the concept and formal definition of a Limit and be able to solve problems.
  • Comprehend the Sandwich Theorem and be able to use it.
  • Learn Continuity and its types.
  • Learn the idea of derivatives and use it to solve problems.
  • Master the (sum and difference, power, quotient, chain rule) rules of derivatives.
  • Learn Implicit Differentiation.
  • Master Related Rates, Optimisation and Linearisation.
  • Be able to properly graph functions using the First and Second Derivative.
  • Understand L’ Hôpital’s Rule and use it to solve problems.
  • And many more topics.

Who will benefit from this course?

The Calculus 1 Mastered course is designed to benefit a wide range of individuals, including:
  1. University and College Students:Students enrolled in calculus courses as part of their undergraduate programs will find this course beneficial. It provides a comprehensive understanding of fundamental calculus concepts, helping them excel in their coursework.
  2. High School Students:Advanced high school students who are taking calculus as part of their curriculum or as an advanced placement (AP) course can benefit from this course to enhance their understanding and preparation for college-level calculus.
  3. Self-Learners and Independent Study:Individuals who are interested in learning calculus on their own, either for personal enrichment or as a prerequisite for further studies in mathematics, physics, engineering, economics, or other related fields, can use this course to master the foundational concepts.
  4. STEM (Science, Technology, Engineering, and Mathematics) Professionals:Professionals in STEM fields, such as engineers, physicists, computer scientists, and economists, who want to refresh or deepen their understanding of calculus will find this course valuable for reinforcing their mathematical skills.
  5. Tutoring and Teaching Assistants:Individuals involved in tutoring or assisting in calculus courses can use this course as a resource to gain a deeper understanding of the subject matter, enabling them to better support students and address common challenges.
  6. Test Preparation:Students preparing for standardised tests that include calculus, such as the SAT, ACT, or GRE, can use this course to build a strong foundation in calculus concepts and problem-solving skills.
  7. Career Changers:Individuals considering a career change or entering a field that requires a solid understanding of calculus, such as data science or finance, can use this course to acquire the necessary mathematical knowledge.
  8. Anyone Interested in Mathematics:Enthusiasts and individuals with a general interest in mathematics can benefit from this course to explore and appreciate the beauty and applications of calculus.
The Calculus 1 Mastered course is designed to be accessible and beneficial to a diverse audience, providing a solid foundation in calculus that can be applied in various academic and professional contexts.

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 Calculus 1 Mastered course can significantly enhance your mathematical skills and open up various career prospects, especially in fields that heavily rely on quantitative analysis and problem-solving. Here are some potential career paths and areas where a strong foundation in calculus can be beneficial:
  • STEM Fields: Engineering: Civil, Mechanical, Electrical, Aerospace, etc. Physics: Theoretical and Experimental Physics Computer Science: Algorithms, Data Science, Machine Learning
  • Economics and Finance: Financial Analyst: Analysing trends, risk assessment, and financial modeling. Actuary: Assessing and managing financial risks using mathematical models.
  • Data Science and Analytics: Data Scientist: Analysing and interpreting complex data sets. Business Analyst: Using data to inform business decisions.
  • Computer Programming: Software Developer: Building applications that involve complex algorithms. Game Developer: Designing and implementing mathematical models in game development.
  • Biotechnology and Medicine: Biostatistician: Analysing biological data for research and clinical trials. Medical Researcher: Using mathematical models for medical research.
  • Environmental Science: Environmental Analyst: Analysing environmental data and trends.
  • Operations Research:Operations Research Analyst: Applying mathematical models to optimise decision-making.
  • Education and Academia: Teaching: High school or college-level mathematics instruction. Research: Pursuing advanced studies in mathematics or related fields.
  • Actuarial Science: Actuary: Assessing and managing financial risks for insurance companies.
  • Government and Policy Analysis: Policy Analyst: Analysing data to inform policy decisions.
  • Entrepreneurship: Startups and Business: Entrepreneurs in fields where quantitative analysis is crucial.
Remember that while Calculus 1 provides a strong foundation, many careers may require additional mathematical knowledge and expertise. Therefore, it's essential to consider the specific requirements of your desired field and continue to build upon your mathematical skills as needed. Additionally, combining calculus with proficiency in programming languages and other relevant skills can further enhance your career prospects in today's competitive job market.

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Course Content

    • Number Sets 00:10:00
    • Graphing Tools 00:06:00
    • Introduction 00:01:00
    • Functions 00:15:00
    • Evaluating a Function 00:13:00
    • Domain 00:16:00
    • Range 00:05:00
    • One to One Function 00:09:00
    • Inverse Functions 00:10:00
    • Exponential Functions 00:05:00
    • The Natural Exponential Function 00:06:00
    • Logarithms 00:00:00
    • Natural Logarithms 00:07:00
    • Logarithm Laws 00:06:00
    • Trigonometric Ratios 00:15:00
    • Evaluating Trig Functions and Points 00:18:00
    • Inverse Trigonometric Functions 00:12:00
    • Introduction 00:01:00
    • What is a Limit? 00:17:00
    • Examples 00:15:00
    • One-Sided Limits 00:12:00
    • The Limit Laws 00:08:00
    • Examples 00:15:00
    • More Examples 00:15:00
    • The Squeeze (Sandwich) Theorem 00:09:00
    • Examples 00:10:00
    • Precise Definition of Limits 00:08:00
    • Examples 00:15:00
    • limits at Infinity 00:21:00
    • Examples 00:15:00
    • Asymptotes and Limits at Infinity 00:10:00
    • Infinit Limits 00:12:00
    • Introduction 00:00:01
    • Continuity 00:12:00
    • Types of Discontinuity 00:12:00
    • Examples 00:17:00
    • Properties of Continuous Functions 00:11:00
    • Intermediate Value Theorem for Continuous Functions 00:06:00
    • Introduction 00:01:00
    • Average Rate of Change 00:09:00
    • Instantaneous Rate of Change 00:12:00
    • Derivative Definition 00:14:00
    • Examples 00:10:00
    • Non-Differentiability 00:06:00
    • Constant and Power Rule 00:09:00
    • Constant Multiple Rule 00:07:00
    • Sum and Difference Rule 00:07:00
    • Product Rule 00:14:00
    • Quotient Rule 00:08:00
    • Chain Rule 00:14:00
    • Examples 00:09:00
    • Derivative Symbols 00:04:00
    • Graph of Derivatives 00:10:00
    • Higher Order Derivatives 00:08:00
    • Equation of the Tangent Line 00:07:00
    • Derivative of Trig Functions 00:07:00
    • Examples 00:19:00
    • Derivative of Inverse Trig Functions 00:08:00
    • Examples 00:12:00
    • Implicit Differentiation 00:17:00
    • Derivative of Inverse Functions 00:13:00
    • Derivative of the Natural Exponential Function 00:11:00
    • Derivative of the Natural Logarithm Function 00:07:00
    • Derivative of Exponential Functions 00:06:00
    • Derivative of Logarithmic Functions 00:06:00
    • Logarithmic Differentiation 00:15:00
    • Introduction 00:01:00
    • Related Rates 00:08:00
    • Examples 00:13:00
    • More Example 00:09:00
    • More Example 00:10:00
    • Optimization 00:16:00
    • Example 00:11:00
    • More Example 00:07:00
    • Extreme Values of Functions 00:12:00
    • Critical Points 00:08:00
    • Examples (First Derivative Test) 00:16:00
    • More Examples 00:18:00
    • Concavity 00:15:00
    • Examples 00:13:00
    • Second Derivative Test 00:08:00
    • Graphing Functions 00:21:00
    • Examples 00:17:00
    • L’ Hôpital’s Rule 00:12:00
    • Other Indeterminate Forms 00:15:00
    • Rolle’s Theorem 00:09:00
    • The Mean Value Theorem 00:19:00
    • Application of the Mean Value Theorem 00:04:00
    • Get Your Certificate & Transcript 00:00:00

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