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MathTrackX

Differential Calculus

Nicholas Crouch, Dr. Melissa Humphries, Dr. Danny Stevenson, Dr. David Butler, and Dr. Brendan Harding

This course is part three of the MathTrackX XSeries Program which has been designed to provide you with a solid foundation in mathematical fundamentals and how they can be applied in the real world.

This course will cover basic concepts and techniques relating to differentiation; a fundamental tool of calculus. Derivatives are key to the understanding of rates of change, that is the extent to which a function responds to changes in a dependent variable.

This course is part three of the MathTrackX XSeries Program which has been designed to provide you with a solid foundation in mathematical fundamentals and how they can be applied in the real world.

Guided by experts from the School of Mathematics and the Maths Learning Centre at the University of Adelaide, this course will cover concepts and techniques to provide a foundation for the applications of differentiation in STEM related careers and/or further study at the undergraduate level.

Join us as we provide opportunities to develop your skills and confidence in applying mathematics to solve real world problems.

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What's inside

Learning objectives

How derivatives relate to the slope of a function
How to calculate the derivative of polynomials and special functions
Differentiation rules for evaluating the derivative of non-trivial functions

The concept and application of ‘the second derivative’
How to use differentiation to solve problems in basic motion, mechanics and optimisation.

How derivatives relate to the slope of a function
How to calculate the derivative of polynomials and special functions
Differentiation rules for evaluating the derivative of non-trivial functions
The concept and application of ‘the second derivative’
How to use differentiation to solve problems in basic motion, mechanics and optimisation.

Good to know

Know what's good

, what to watch for

, and possible dealbreakers

Develops understanding in special function derivatives, which are important across STEM industries

Provides essential knowledge for careers in STEM-related fields

Foundation for advanced mathematical topics

Taught by university experts in math

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Activities

Be better prepared before your course. Deepen your understanding during and after it. Supplement your coursework and achieve mastery of the topics covered in MathTrackX: Differential Calculus with these activities:

Organize Course Materials

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Organize your notes, assignments, and resources for easy access and review.

Browse courses on Differentiation

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Create a system for organizing your materials, such as folders or digital notebooks.
Categorize materials based on topic or relevance.
Highlight important concepts and formulas for quick reference.

Review Pre-Calculus Concepts

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Refresh your understanding of pre-calculus concepts, providing a solid foundation for differentiation.

Browse courses on Pre-Calculus

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Review notes or textbooks on pre-calculus topics.
Solve practice problems to test your understanding.
Identify areas where you need additional support or clarification.

Read 'Understanding Calculus' by Thomas

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Gain a comprehensive overview of calculus, including differentiation, through a well-regarded textbook.

View University Calculus: Early Transcendentals,... on Amazon

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Obtain a copy of 'Understanding Calculus' by Thomas.
Allocate dedicated time for reading and studying the relevant chapters.
Take notes and summarize key concepts, highlighting their application to differentiation.
Complete practice problems and exercises included in the text.

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Explore Online Differentiation Video Tutorials

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Supplement your learning by seeking out engaging and informative video tutorials that provide alternative perspectives and explanations.

Browse courses on Differentiation

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Search for reputable online platforms or channels offering differentiation tutorials.
Select videos that align with your learning style and specific areas of interest.
Take notes or summarize the key points covered in the tutorials.
Apply the concepts covered in the tutorials to practice problems or real-world examples.

Create a Differentiation Concept Map

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Visualize and organize differentiation concepts, improving your comprehension and retention.

Browse courses on Differentiation

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Identify key concepts, definitions, and formulas related to differentiation.
Connect the concepts using arrows or branches, creating a visual representation.
Add examples and explanations to illustrate the relationships between concepts.
Review and refine your concept map regularly to enhance understanding.

Participate in Differentiation Study Group

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Contribute to and engage with discussions on differentiation concepts, reinforcing your understanding and identifying areas for improvement.

Browse courses on Differentiation

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Join a study group focused on differentiation.
Actively participate in discussions, posing questions and sharing insights.
Regularly review group notes and contributions to solidify your understanding.

Solve Differentiation Practice Problems

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Enhance your problem-solving skills and deepen your understanding of differentiation techniques through regular practice.

Browse courses on Differentiation

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Find online or textbook resources with differentiation practice problems.
Allocate dedicated time for practice, aiming for consistency rather than quantity.
Review your solutions thoroughly, identifying areas where you need improvement.
Seek guidance from your instructor or classmates if necessary.

Develop a Differentiation Tool

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Deepen your understanding by creating a tool that automates differentiation calculations or visualizes concepts.

Browse courses on Differentiation

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Identify a need or problem related to differentiation.
Design and develop a tool that addresses the identified need.
Test and refine your tool to ensure accuracy and functionality.
Share your tool with others for feedback and potential use.

Career center

Learners who complete MathTrackX: Differential Calculus will develop knowledge and skills that may be useful to these careers:

Statistician

Statisticians use mathematical and statistical models to collect, analyze, and interpret data. Differential Calculus can help build a foundation for the mathematical concepts and techniques used in statistics, such as derivatives and probability.

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Actuary

Actuaries use mathematical and statistical models to assess the risks and costs of insurance policies. Differential Calculus can help build a foundation for the mathematical concepts and techniques used in actuarial science, such as derivatives and probability.

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Data Analyst

Data Analysts use their knowledge of mathematics, statistics, and programming to extract insights from data. Differential Calculus can help build a foundation for the mathematical concepts and techniques used in data analysis, such as derivatives and rates of change.

See salaries and explore the career path for Data Analyst

Financial Analyst

Financial Analysts use mathematical and statistical models to assess the risks and returns of investments. Differential Calculus can help build a foundation for the mathematical concepts and techniques used in financial analysis, such as derivatives and optimization.

See salaries and explore the career path for Financial Analyst

Operations Research Analyst

Operations Research Analysts use mathematical and statistical models to improve the efficiency of organizations. Differential Calculus can help build a foundation for the mathematical concepts and techniques used in operations research, such as derivatives and optimization.

See salaries and explore the career path for Operations Research Analyst

Economist

Economists use mathematical and statistical models to analyze economic data and make predictions about the economy. Differential Calculus can help build a foundation for the mathematical concepts and techniques used in economics, such as derivatives and optimization.

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Quantitative Analyst

Quantitative Analysts use mathematical and statistical models to assess the risks and returns of investments. Differential Calculus can help build a foundation for the mathematical concepts and techniques used in quantitative analysis, such as derivatives and optimization.

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Data Scientist

Data Scientists use mathematical and statistical models to extract insights from data. Differential Calculus can help build a foundation for the mathematical concepts and techniques used in data science, such as derivatives and optimization.

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Machine Learning Engineer

Machine Learning Engineers use mathematical and statistical models to develop and deploy machine learning algorithms. Differential Calculus can help build a foundation for the mathematical concepts and techniques used in machine learning, such as derivatives and optimization.

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Software Engineer

Software Engineers use mathematical concepts and techniques to design, develop, and test software. Differential Calculus can help build a foundation for the mathematical concepts and techniques used in software engineering, such as derivatives and optimization.

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Chemical Engineer

Chemical Engineers use mathematical and statistical models to design and operate chemical plants. Differential Calculus can help build a foundation for the mathematical concepts and techniques used in chemical engineering, such as derivatives and optimization.

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Mechanical Engineer

Mechanical Engineers use mathematical and statistical models to design and build machines. Differential Calculus can help build a foundation for the mathematical concepts and techniques used in mechanical engineering, such as derivatives and optimization.

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Civil Engineer

Civil Engineers use mathematical and statistical models to design and build infrastructure. Differential Calculus can help build a foundation for the mathematical concepts and techniques used in civil engineering, such as derivatives and optimization.

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Electrical Engineer

Electrical Engineers use mathematical and statistical models to design and build electrical systems. Differential Calculus can help build a foundation for the mathematical concepts and techniques used in electrical engineering, such as derivatives and optimization.

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Physicist

Physicists use mathematical and statistical models to describe and predict the behavior of the physical world. Differential Calculus can help build a foundation for the mathematical concepts and techniques used in physics, such as derivatives and optimization.

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Reading list

We've selected 15 books that we think will supplement your learning. Use these to develop background knowledge, enrich your coursework, and gain a deeper understanding of the topics covered in MathTrackX: Differential Calculus.

CRC Handbook of Chemistry and Physics, 100th Edition

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Great choice for students who want to learn more about chemistry and physics. It covers a wide range of topics, from basic concepts to more advanced applications.

MathTrackX

Differential Calculus

What's inside

Learning objectives

Good to know

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Activities

Career center

Reading list

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