Calculus Fundamentals: From Derivatives to Integrals
Master calculus essentials: derivatives, integrals, and applications. Ideal for STEM students and professionals seeking a solid mathematical foundation.
Master calculus essentials: derivatives, integrals, and applications. Ideal for STEM students and professionals seeking a solid mathematical foundation.
This comprehensive calculus course offers a deep dive into the fundamental concepts of calculus, from precalculus foundations to advanced integration techniques. Designed for intermediate-level learners, the course covers key topics such as limits, derivatives, and integrals, emphasizing both theoretical understanding and practical applications. Through a series of engaging modules, students will develop essential mathematical skills crucial for science, engineering, and commerce. The course balances theory with real-world examples, ensuring a thorough grasp of calculus principles and their relevance in various fields.
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What you'll learn
Gain a solid understanding of precalculus concepts and their relevance to calculus
Master the fundamental principles of limits and continuity
Develop proficiency in differentiation techniques and their applications
Understand integration methods and their use in area and volume calculations
Apply calculus concepts to solve real-world problems in science and engineering
Enhance critical thinking and analytical skills through mathematical reasoning
Skills you'll gain
This course includes:
11.6 Hours PreRecorded video
56 assignments
Access on Mobile, Tablet, Desktop
FullTime access
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There are 5 modules in this course
This comprehensive calculus course covers the essential foundations of mathematical analysis, from precalculus concepts to advanced integration techniques. The curriculum is structured to provide a deep understanding of key calculus principles and their applications in science, engineering, and commerce. Students will explore topics such as limits, derivatives, and integrals, developing critical thinking skills and problem-solving abilities along the way. The course emphasizes both theoretical knowledge and practical applications, ensuring learners can apply calculus concepts to real-world scenarios.
Precalculus (Setting the scene)
Module 1 · 8 Hours to complete
Functions (Useful and important repertoire)
Module 2 · 13 Hours to complete
Introducing the differential calculus
Module 3 · 11 Hours to complete
Properties and applications of the derivative
Module 4 · 14 Hours to complete
Introducing the integral calculus
Module 5 · 10 Hours to complete
Fee Structure
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Instructor
Advancing Mathematics Education and Research
David Easdown is an Associate Professor of Mathematics at the University of Sydney's School of Mathematics and Statistics, within the Faculty of Science. He is dedicated to developing undergraduate mathematics courses across all years and levels, with a recent focus on bridging secondary and tertiary education. Actively supervising honours and postgraduate students in various topics related to pure mathematics and mathematics education, David's primary research interests include algebra and mathematics education. His latest algebra research delves into permutation group theory and combinatorial semigroup theory. In mathematics education, he investigates the applications of threshold concepts and the SOLO taxonomy to design and implement innovative assessment methods. David has published extensively, including his widely used textbook, A First Course in Linear Algebra, available through Pearson Education Australia, which serves students both in Australia and internationally.
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