Module EC-18
Calculus
The mathematics every later subject here assumes and none of them teaches. What a function is and how it behaves near a point, the derivative as a rate and the tool for choosing a best value, the integral as an accumulation and the two readings that agree, the series that lets a hard function be replaced by a polynomial, and the same ideas again once there is more than one variable.
7 topics ~80 h estimated learning time
Comes after—
UnlocksEC-3. Differential Equations
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- EC-18.1 Functions, and the Language of Change
Foundation · 10 h
- EC-18.2 Limits and Continuity
Foundation · 10 h
- EC-18.3 The Derivative, and What It Is For
Foundation · 12 h
- EC-18.4 The Integral, and the Two Ways to Read It
Foundation · 12 h
- EC-18.5 Sequences, Series, and Approximating a Function
Foundation · 12 h
- EC-18.6 Functions of Several Variables, and Partial Derivatives
Foundation · 12 h
- EC-18.7 Multiple Integrals, and Where Calculus Lands in Engineering
Foundation · 12 h