General Mathematics 1

Math

| Duration: March 2021 |

Description:

I tried to make mathematics easier to understand for students who had some difficulties with this course in university. This course that I created was completely free. The below subjects have been taught in this course.

Course Curriculum

  1. Season one: Integration
    • Integration formulas
    • Main methods of integration
    • Submethods of integration
  2. Season two: Definite Integrals
    • Definite integral declaration
    • Definite integral attributes
    • Definite integral usages
  3. Season three: Polar Coordinates
    • Polar coordinates declaration
    • Calculation of the area of polar curves
    • Calculate the arc length of the curves
  4. Season four: Complex Numbers
    • Complex numbers and declaration of their operators
    • Polar coordinates of complex numbers
    • Complex number nth base
  5. Season five: Sequences and series
    • Declaration of sequences and series
    • Tests
      • Convergence tests
      • Ratio test
      • Rabe test
      • Root test
      • Comparison test
      • P test
      • Integral test
      • Leibniz’s test
    • Power series

Solved Exercises

During this course, I solved 79 exercises to help students understand concepts in more detail.

Homeworks

I also defined 56 homework exercises to make them force in order to completely learn different concepts since mathematics is a course of exercise.