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MathTrackX: Integral Calculus

Name: MathTrackX: Integral Calculus
Price: 8217 INR

This course is part of MathTrackX.

Course Cost

₹ 8,217

Beginner

Skill Level

4 Weeks

Self-paced lessons

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.

Dr David Butler

Dr Melissa Humphries

English

Dr David Butler

Dr Melissa Humphries

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

Integral Calculus

Integration

Anti-derivatives

Area Calculation

Kinematics

Mathematical Analysis

Problem Solving

STEM Applications

Polynomials

Function Analysis

This course includes:

PreRecorded video

Graded assignments, Exams

Access on Mobile, Tablet, Desktop

Limited Access access

Shareable certificate

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Top companies provide this course to enhance their employees' skills, ensuring they excel in handling complex projects and drive organizational success.

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

This module introduces the concept of anti-differentiation as the reverse operation of differentiation. Students will learn to understand the fundamental principles behind finding anti-derivatives and develop skills to calculate the anti-derivatives of various functions, including polynomials, trigonometric functions, and exponential functions. The module focuses on building a strong foundation in this essential calculus technique.

Skills you'll gain

Anti-derivative Calculation

Function Analysis

Calculus Foundations

Definite integrals

Module 2

This module explores the concept of definite integration as the signed area under the graph of a function. Students will learn to recognize definite integrals as the limit of Riemann sums and apply this understanding to calculate areas under curves. The module also covers practical applications of definite integration to solve various problems related to the area between curves.

Skills you'll gain

Area Calculation

Riemann Sums

Graphical Integration

The fundamental theorem of calculus

Module 3

This module focuses on the fundamental theorem of calculus, which establishes the connection between differentiation and integration. Students will learn to understand and apply this theorem to efficiently calculate definite integrals. The module emphasizes how this powerful theorem simplifies the process of integration and serves as a cornerstone of calculus.

Skills you'll gain

Integral Evaluation

Calculus Theory

Mathematical Proofs

Applications of integration

Module 4

This module explores practical applications of integration in various fields. Students will learn to apply integration techniques to solve problems related to areas between prescribed curves, basic motion and mechanics, and initial value problems. The module focuses on connecting theoretical knowledge to real-world applications, demonstrating the utility of integration in modeling and analyzing physical phenomena.

Skills you'll gain

Applied Mathematics

Motion Analysis

Problem Solving

Assessment

Module 5

This module consists of a timed exam designed to evaluate students' understanding of integral calculus concepts covered throughout the course. The assessment tests knowledge of anti-differentiation, definite integrals, the fundamental theorem of calculus, and applications of integration. This comprehensive evaluation helps students gauge their mastery of the course material.

Skills you'll gain

Mathematical Assessment

Time Management

Problem Application

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

Reviews

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Faculties

These are the expert instructors who will be teaching you throughout the course. With a wealth of knowledge and real-world experience, they're here to guide, inspire, and support you every step of the way. Get to know the people who will help you reach your learning goals and make the most of your journey.

Courses

Dr David Butler

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.

Courses

Dr Melissa Humphries

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.

Courses

Dr Danny Stevenson

Danny Stevenson serves as Senior Lecturer in Pure Mathematics at the University of Adelaide, where he has established himself as a leading researcher in category theory and homotopy theory. After completing his PhD at Adelaide in 2000, he gained international experience through academic positions in Scotland and the United States before returning to his alma mater. His research focuses on the intersection of higher category theory, abstract homotopy theory, and the emerging field of ∞-categories. As a member of the Pure Mathematics research group at Adelaide's School of Mathematical Sciences, he contributes to fundamental research in gerbes and non-abelian cohomology. His work has earned recognition in the mathematical community, particularly for his contributions to understanding inner anodyne maps and their properties in higher categorical structures. Through his position at Adelaide, he continues to advance the theoretical foundations of mathematics while contributing to the university's prestigious research tradition in pure mathematics.

Courses

Nicholas Crouch

Nicholas Crouch serves as Associate Lecturer at the University of Adelaide's Maths Learning Centre, where he has been helping students master mathematical concepts across diverse disciplines since 2009. After completing his master's degree in Pure Mathematics with a focus on algebraic and computational number theory, he has dedicated his career to mathematics education and student support. As a core member of the Maths Learning Centre team alongside David Butler, he provides essential guidance to students in subjects ranging from engineering mathematics to statistical analysis in psychology and economic derivatives. His role at the Drop-In Centre creates a safe learning environment where students can discuss mathematical challenges with friendly tutors either face-to-face or online. Beyond individual tutoring, he contributes to the broader mission of the Maths Learning Centre, which exists to help all University of Adelaide students succeed in learning and applying mathematics in their coursework. His work spans the Employability, Careers and Student Academic Skills unit, where he continues to make mathematics accessible and understandable to students across all disciplines.

Courses

Dr Brendan Harding

Brendan Harding currently serves as a Lecturer at Victoria University of Wellington, following his role as Research Associate at the University of Adelaide. His academic journey has focused on computational mathematics and fluid dynamics, with particular expertise in numerical methods for partial differential equations. His PhD research developed fault-tolerant algorithms for supercomputers, leading to significant publications in high-performance computing. His current research centers on microfluidic applications, specifically studying particle behavior in curved ducts with applications in cancer detection through circulating tumor cell identification. His work spans theoretical fluid mechanics, computational methods, and fractal geometry, with over 494 citations reflecting his significant impact in the field. His research portfolio includes groundbreaking work on inertial focusing of particles in curved microfluidic ducts, which has important applications in biomedical diagnostics. Beyond his primary research, he has contributed to diverse areas including fault-tolerant computation, sparse grid techniques, and fractal geometry, demonstrating his versatility as a computational mathematician. His expertise extends to creating mathematical visualizations, combining technical precision with artistic representation through programming.

Beginner

Skill Level

4 Weeks

Self-paced lessons

Course Cost

₹ 8,217

Completion

CERTIFICATE