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Calculus Foundations

The language of change: limits and continuity; the derivative by definition and differentiation rules; applications to tangents, extrema, optimisation and related rates; integrals, the fundamental theorem and areas; integration techniques, volumes and motion; and exponential and logarithmic functions with numerical methods.

  • IntermediateBest if you know the basics
  • 32 hTotal content time
  • 18 lessonsOrdered from basics to practice
  • In ArabicWith technical terms in English

About this course

The language of change: limits and continuity; the derivative by definition and differentiation rules; applications to tangents, extrema, optimisation and related rates; integrals, the fundamental theorem and areas; integration techniques, volumes and motion; and exponential and logarithmic functions with numerical methods.

Academy-authored content.

Course highlights

  • Evaluate limits and judge continuity
  • Differentiate functions by definition and with the power, product, quotient and chain rules
  • Apply derivatives to tangents, extrema, optimisation and rates of change
  • Find antiderivatives and definite integrals and compute areas
  • Use substitution and apply integrals to volumes and motion
  • Work with exponential and logarithmic functions and simple numerical methods

Is this course for you?

Who it’s for

  • secondary 2–3 learners, university entrants in science, engineering and economics, adults refreshing calculus

Requirements

  • CRS-GEN-ALGEBRA (functions, factorising, exponents); basic trigonometry helps for M2

Course content

  • 8units
  • 18sessions
  • 7quizzes
Unit 13 sessions
  1. Lesson 1.1
  2. Lesson 1.2
  3. Lesson 1.3
Unit 23 sessions
  1. Lesson 2.1
  2. Lesson 2.2
  3. Lesson 2.3
Unit 33 sessions
  1. Lesson 3.1
  2. Lesson 3.2
  3. Lesson 3.3
Unit 43 sessions
  1. Lesson 4.1
  2. Lesson 4.2
  3. Lesson 4.3
Unit 53 sessions
  1. Lesson 5.1
  2. Lesson 5.2
  3. Lesson 5.3
Unit 63 sessions
  1. Lesson 6.1
  2. Lesson 6.2
  3. Lesson 6.3
Quizzes0 sessions · 7 quizzes
  1. Quiz 1
  2. Quiz 2
  3. Quiz 3
  4. Quiz 4
  5. Quiz 5
  6. Quiz 6
  7. Final exam
Projects and assignments0 sessions
  1. Assignment 1
  2. Assignment 2

The lecturer

Lecturer

Eng. Abdelmaksoud

Your next step

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