MathTrackX: Integral Calculus
This course is part of MathTrackX.
This foundational course explores integral calculus concepts and techniques essential for STEM fields. Students learn about anti-derivatives, definite integrals, and their applications in calculating areas and solving kinematics problems. The curriculum emphasizes practical understanding and real-world applications, guided by experts from the University of Adelaide's School of Mathematics and Maths Learning Centre.
Instructors:
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What you'll learn
Master the concept and application of anti-derivatives
Learn to calculate anti-derivatives of polynomials and special functions
Understand definite integrals and their relation to areas under graphs
Develop skills in applying integration to real-world problems
Skills you'll gain
This course includes:
PreRecorded video
Graded assignments, Exams
Access on Mobile, Tablet, Desktop
Limited Access access
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There are 5 modules in this course
This course provides comprehensive coverage of integral calculus fundamentals. Students learn to understand and apply anti-derivatives, calculate definite integrals, and solve real-world problems using integration techniques. The curriculum emphasizes both theoretical understanding and practical applications in STEM fields. Through guided instruction and practice problems, participants develop essential mathematical skills for further study or professional applications.
Anti-differentiation
Module 1
Definite integrals
Module 2
The fundamental theorem of calculus
Module 3
Applications of integration
Module 4
Assessment
Module 5
Fee Structure
Individual course purchase is not available - to enroll in this course with a certificate, you need to purchase the complete Professional Certificate Course. For enrollment and detailed fee structure, visit the following: MathTrackX
Instructors
7 Courses
Distinguished Mathematics Educator and Learning Innovation Expert
David Butler serves as Lecturer and Coordinator of the Maths Learning Centre and Writing Centre at the University of Adelaide, where he specializes in helping students develop effective mathematical learning strategies across all disciplines. His academic background combines pure mathematics, with a PhD in Finite Geometry, and educational expertise through a Graduate Diploma in Education. As a former high school mathematics teacher, he brings practical pedagogical experience to his university role. His innovative approach emphasizes the integration of play and artistic elements in mathematical education, making complex concepts more accessible to students. At the Maths Learning Centre, he focuses on developing students' mathematical thinking skills and confidence, working across diverse academic disciplines to support students in mastering course-specific mathematical concepts. His passion for mathematics education extends beyond the classroom through his active engagement in mathematical education communities and his development of creative learning resources.
5 Courses
A Pioneering Statistician Bridging Applied Mathematics and Forensic Science
Melissa Humphries serves as Senior Lecturer in Statistics at the University of Adelaide, where she combines her unique background as a former chef with expertise in statistical analysis and cognitive modeling. After completing her PhD in Statistics and Mathematical Psychology from the University of Tasmania in 2017, she has built an impressive career spanning teaching and research. Her work focuses on applied statistics across diverse fields including forensic science, defense, psychology, and wastewater analysis, with particular emphasis on developing tools that support expert decision-making. As a lecturer, she coordinates multiple courses including second-year undergraduate statistics and has helped develop innovative online learning units in Bayesian reasoning. Her teaching portfolio includes Data Literacy, Statistical Analysis and Modeling, and Research Methods and Statistics. Recently named a Superstar of STEM for 2023-24, she advocates for making academia more accessible while maintaining an active research program in Bayesian inference, stochastic processes, and large dataset management. Her expertise extends to analyzing spatially and temporally autocorrelated data, contributing to fields ranging from astrophysics to forensic anthropology, while her background in psychology enhances her ability to communicate complex technical concepts to diverse audiences.
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