This course covers the fundamentals of differential equations in calculus, teaching students how to solve ordinary differential equations, elementary differential equations, separation of variables, first-order linear ODEs, exact differential equations, existence and uniqueness theorem, graphing ODEs, and various applications of ODEs in mixing, cooling, and circuits. The course aims to equip learners with the skills to solve differential equations and apply them to real-world scenarios. The teaching method involves a series of lessons with theoretical explanations and practical examples. This course is intended for students or individuals interested in gaining a solid understanding of differential equations and their applications.
Overview
Syllabus
01 - What Is A Differential Equation in Calculus? Learn to Solve Ordinary Differential Equations..
Lesson 2 - Solving Elementary Differential Equations.
Lesson 3 - Separation Of Variables (Differential Equations).
Lesson 4 - First Order Linear ODEs Variation Of Parameters, Part 1.
Lesson 5 - First Order Linear ODEs Variation Of Parameters, Part 2.
Lesson 6 - Exact Differential Equations.
Lesson 7 - Existence And Uniqueness Theorem (Differential Equations).
Lesson 8 - Graphing ODEs (Differential Equations).
Lesson 9 - Applications of ODEs in Mixing (Differential Equations).
Lesson 10 - Applications of ODEs in Cooling (Differential Equations).
Lesson 11 - Applications of ODEs in Circuits, Part 1 (Differential Equations).
Lesson 12 - Applications of ODEs in Circuits, Part 2 (Differential Equations).
Taught by
mathandscience
