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Differential and integral calculus

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Beginner

Last updated on January 5, 2025 12:29 pm

Learn the basics of differential and integral calculus in this comprehensive course. Perfect for beginners in math and computer science.

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  • Course objectives

This course mainly aims to become familiar with the basic tools of differential calculus and to learn about integral calculus. Introduction to differential and integral calculus (from the point of view of applications). Function concept. Reminders regarding exhibitors. Exponential, logarithmic and power functions. Trigonometric functions. Limits and continuity of functions. Derivative of a function. Higher order derivatives. Applications of the derivative. Definite and primitive integral of a function.

  • Content Summary

  1. Function concept. Reminders regarding exhibitors.

  2. Basic functions

  3. Limits and continuity of functions.

  4. Derivative of a function.

  5. Higher order derivatives.

  6. Applications of the derivative.

  7. Definite and primitive integral of a function.

  8. Applications of integrals

  9. Numerical sequences

    Note: This Course is intended to give prospective students an idea of ​​the

    content of a typical introductory course in differential and integral calculus in a

    Atlantic Region University. Note, however, that there are differences

    between the courses of differential and integral calculus in the different universities and

    even within the same university.

Why is differential and integral calculus important?

In science, many processes involving variation or variables

related are studied. If these variables are related in a way that involves chance and

an important random variation, statistics is one of the main tools that

we will use to study the existing links. However, in cases where a model

deterministic constitutes at least a valid approximation, the differential calculus

and integral is a tool for efficiently studying the ways in which variables interact. Situations involving rates of change over time

or rates of variation from one place to another are particularly

important.

Physics, astronomy, mathematics and engineering are fields where

differential and integral calculus play an essential role; you can hardly see

how even one of these disciplines would exist in its modern form without calculus

differential and integral. However, biology, chemistry, economics, computer science

and other sciences also use differential and integral calculus. Many

science faculties therefore require all their students to take a calculus course.

differential and integral; in other cases, the student may be able to choose between a

courses in differential and integral calculus, statistics and computer science, for example.

It should be understood that mathematics is not limited to calculation

differential and integral. Linear algebra, probability, geometry and combinatorics are just some of the branches of mathematics covered in

schools that are important at university level. Competences in

problem solving, which affects all branches of mathematics,

allow us to apply this discipline to other subjects.

Who this course is for:

  • Beginner in math, differential calculus, integral calculus and math connected to Computer Science
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    Differential and integral calculus
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