∫ Calculus I

Number sets, functions, limits, continuity, derivatives, integrals, series and differential equations. Every topic with step-by-step theory, worked examples and solved exercises.

📋 Formulario

Complete Theory

Worked Examples

Example 1Product of complex numbers
Example 2Square roots of a complex number
Example 3Solve z3+8=0z^3+8=0

Exercises with Solutions

Exercise 1Algebraic operationsMedium
📋 Problem to solve
Compute (2−3i)(4+i)(2-3i)(4+i) and express the result in algebraic form a+bia+bi.
Exercise 2Polar form and De MoivreMedium
📋 Problem to solve
Compute (3+i)5(\sqrt3 + i)^5 using De Moivre's formula.
Exercise 3Roots of complex numbersHard
📋 Problem to solve
Find all fourth roots of −16-16.
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Recommended Books

Introductory
Calculus: Early Transcendentals
Stewart, Clegg, Watson
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