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DelftX: Calculus I: From Functions to Differential Equations by Edx
Refresh and review your bachelor-level calculus. This course covers all the various differentiation and integration techniques and guides you through several important methods for solving differential equations.
Course Highlights
- Apply differentiation techniques such as the chain rule and implicit differentiation.
- Apply integration techniques such as integration-by-parts and substitution.
- Solve ordinary differential equations that are important in engineering like a damped, forced harmonic oscillator.
- Compute horizontal asymptotes to find equilibria and growth rates.
- Analyze challenging engineering problems using these techniques
Skills you will learn!
Curriculum
5 Topics
functions
graphs
inverse function
inverse trigonometric functions
compositions of functions
4 Topics
differentiation
tangent lines
implicit differentiation
differentiation of inverses
5 Topics
approximation errors
linear approximation
differentials
Taylor polynomials
Taylor’s inequality
3 Topics
horizontal asymptotes
growth rates
computing horizontal asymptotes
5 Topics
integration
integration by parts
substitution method
integration by Taylor polynomial
integrals over unbounded domains
5 Topics
differential equations
direction fields
first order separable and linear equations
forced and damped harmonics oscillators
approximating solutions to differential equations using Taylor polynomials
DelftX: Calculus I: From Functions to Differential Equations
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