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

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DelftX: Calculus I: From Functions to Differential Equations

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