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INTEGRAL CALCULUS & ORDINARY DIFFERENTIAL EQUATIONS

Master integration techniques and differential equations for solving real-world mathematical and engineering problems.

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4.8 hours

Instructor

Unies Edu-Tech

What You'll Learn

Master advanced Computer Science and methodologies

Build portfolio-worthy projects from scratch

Understand industry-standard tools and best practices

Develop practical skills for real-world application

Prepare for certification and career advancement

Course Description

This course introduces students to Integral Calculus and Ordinary Differential Equations (ODEs), providing a solid foundation for advanced studies in mathematics, engineering, and physical sciences.

Students will learn definite and indefinite integrals, techniques of integration, and applications in areas such as area, volume, and physics problems. The course also covers first-order and higher-order differential equations, methods of solution, and practical applications in modeling physical, biological, and engineering systems.

By combining theory, problem-solving techniques, and real-world examples, this course helps students develop strong analytical and mathematical reasoning skills.

What You’ll Learn:

Understand the concept and techniques of integration (substitution, partial fractions, by parts).

Compute definite and indefinite integrals.

Apply integration to area, volume, work, and physical applications.

Learn the fundamentals of ordinary differential equations (ODEs).

Solve first-order differential equations (separable, linear, exact).

Solve higher-order linear differential equations with constant coefficients.

Apply differential equations to real-world problems in physics, engineering, and biology.

Develop analytical thinking and problem-solving skills in advanced mathematics.

INTEGRAL CALCULUS & ORDINARY DIFFERENTIAL EQUATIONS

What You'll Learn

Course Description

Course Content

Double Integral, Integrated Integral (Final 1)

Double Integral Over General Regions (Final 2)

Double Integral In Polar Coordinate (Final 3)

Application of Double Integral ,Centre of Mass (Final 4)

Triple Integral (Final 5)

Ordinary Differential Equation, First Order by Separation of Variable (Final 6)

ODE, Integrating Factor (Final 7)

Second Order O.D.E , Homogeneous (Final 8)

Non-Homogeneous (Final 9)

Non-Homogeneous (Final 10)

Change of Variable, Application of 1st Order Linear O.D.E (Final 11)

System of 1st Order O.D.E (Final 12)

Indefinite Integral (Mid 1)

Definite Integrals (Mid 2)

Riemann Sum (Mid 3)

Application of Integration Area (Mid 4)

same shit (Mid 5)

Application of Integration Volume (Mid 6)

Improper Integral (Mid 7)

Gamma Function (Mid 8)

Beta Function (Mid 9)

Integration By Parts (Mid 10)

Trigonometric Integrals (Mid 11)

Trigonometric Substitution (Mid 12)

Partial Integration (Mid 13)

Meet Your Instructor

Unies Edu-Tech

Student Reviews

This course includes:

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INTEGRAL CALCULUS & ORDINARY DIFFERENTIAL EQUATIONS

What You'll Learn

Course Description

Course Content

Double Integral, Integrated Integral (Final 1)

Double Integral Over General Regions (Final 2)

Double Integral In Polar Coordinate (Final 3)

Application of Double Integral ,Centre of Mass (Final 4)

Triple Integral (Final 5)

Ordinary Differential Equation, First Order by Separation of Variable (Final 6)

ODE, Integrating Factor (Final 7)

Second Order O.D.E , Homogeneous (Final 8)

Non-Homogeneous (Final 9)

Non-Homogeneous (Final 10)

Change of Variable, Application of 1st Order Linear O.D.E (Final 11)

System of 1st Order O.D.E (Final 12)

Indefinite Integral (Mid 1)

Definite Integrals (Mid 2)

Riemann Sum (Mid 3)

Application of Integration Area (Mid 4)

same shit (Mid 5)

Application of Integration Volume (Mid 6)

Improper Integral (Mid 7)

Gamma Function (Mid 8)

Beta Function (Mid 9)

Integration By Parts (Mid 10)

Trigonometric Integrals (Mid 11)

Trigonometric Substitution (Mid 12)

Partial Integration (Mid 13)

Meet Your Instructor

Unies Edu-Tech

Student Reviews

This course includes:

SHARE

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