Mathematics: Refresher Course

Name: Mathematics: Refresher Course
Rating: 4.3 (26 reviews)

Revision of important concepts and formulae

Created bySeema Ranaware

Last updated 7/2020

English

What you'll learn

Important concepts, formulae and its application in higher mathematics

Course content

2 sections • 29 lectures • 4h 48m total length

Introduction1:06
The Refresher course is a bridge between Basic Mathematics Course (which is already published) and Advanced Mathematics Course (my next course to be published). This course will revise all important concepts and formulae of basic algebra, logarithms, trigonometry, derivatives and integration.

Algebraic Formulae16:33
Logarithmic Formulae8:45
Master logarithmic formulae and properties, including natural logarithms with base e, and learn how to apply them to solve equations.
Trigonometry 19:07
Trigonometry 212:00
Trigonometry 312:44
Trigonometry 46:58
Derivatives 112:02
Derivatives 29:16
Master algebraic manipulation by simplifying expressions, handling variables and fractions, and exploring zero properties through combinations and denominator rules, in preparation for derivatives.
Derivatives 38:22
derivatives 46:41
Explore derivatives with respect to x and e, using change-of-base ideas and square root expressions. Practice identifying constants and applying basic differentiation concepts to simplify and solve problems.
Derivatives 57:57
Derivative 614:34
Derivative 713:03
Explore basic derivative concepts by examining change in simple functions of x, using f(x), x, and x squared examples with clear, practical explanations.
Derivatives 810:03
Review derivatives and core mathematics concepts, focusing on critical points and functions like x^2 and x log x, through targeted questions for a mathematics refresher.
Integration 110:50
Explore the link between differentiation and integration through antiderivatives and the constant of integration with respect to x, including logarithmic and basic trigonometric integrals.
Integration 210:39
Integration 39:26
Integration 49:24
Integration 58:04
Integration 613:35
Integration 78:19
This lecture explains the substitution method in integration, showing how to replace inner functions and differentiate to simplify and solve integrals.
Integration 89:22
explore substitution in integrals, differentiate the integrand, and simplify expressions involving x and cos in the integration 8 lecture.
Integration 910:10
Explore integration techniques in this session, focusing on substitution, recognizing derivative patterns in denominators, and applying algebraic rearrangements to simplify logarithmic expressions.
Integration 107:32
Integration 1114:53
Integration 126:57
Integration 138:35
Integration 1411:42

Requirements

knowledge of basic mathematics

Description

The Refresher Course is a bridge between Basic Mathematics and Advanced Mathematics. This course will be helpful for students moving from school mathematics to a degree (Graduate/ Postgraduate) level. It covers important basic concepts and formulae of basic algebra, logarithms, trigonometry, derivatives, and integration. It shows the correct use of various formulae in the above topics.

Who this course is for:

10+, 12+ graders, diploma(polytechnic), engineering degree, graduate and post graduate students. Anybody who wants to revise concepts of mathematics.

Mathematics: Refresher Course

What you'll learn

Explore related topics

Course content

Introduction1 lecture • 1min

Algebraic Formulae28 lectures • 4hr 48min

Requirements

Description

Who this course is for: