About Course

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Introduction

Welcome to Calculus. This course is the mathematical language of change and motion, providing the essential tools for nearly every field of engineering and science. We will begin by building a solid foundation in functions and the crucial concept of the limit. With this framework, we will explore the two main branches of calculus: differentiation, which allows us to analyze instantaneous rates of change and optimize systems, and integration, which lets us accumulate quantities and calculate areas and volumes. Mastering calculus will equip you with the ability to model, analyze, and solve complex, dynamic problems.

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General Notes

• Chapter 0 is recorded only
• During the course in section 3 of chapter 2, only one lesson is explained
• Chapter 0 is excluded in any calculation

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Info

• Number of Chapters: 3
• Number of lessons: 22
• Number of Sessions: 12
• Number of Weeks: 3

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Course Lessons

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Functions and Limits

• Session 1

  1.1: Functions Basics

• Session 2

  1.2: Types of Functions

  1.3: Functions Operations

• Session 3

  1.4: The Limit of a Function

  1.5: Calculating Limits

• Session 4

  1.6: Limits Involving Infinity

  1.7: Continuity and Discontinuity

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Differentiation

• Session 5

  2.1: Derivatives and Rates of Change

  2.2: Differentiation Rules

• Session 6

  2.3: Derivative of Special Functions

  2.4: Advanced Rules of Differentiation

• Session 7

  2.5: Analyzing Functions

• Session 8

  2.6: L’Hôpital’s Rule

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Integration

• Session 9

  3.1: Introduction to Integration

  3.2: Basic Integration Rules

• Session 10

  3.3: Integrating Common Functions

  3.4: The Fundamental Theorem and Substitution

• Session 11

  3.5: Basic Integration Techniques

• Session 12

  3.6: Advanced Integration Techniques

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