Calculus Functions and their Applications
5.0 (3 ratings)
Course Ratings are calculated from individual students’ ratings and a variety of other signals, like age of rating and reliability, to ensure that they reflect course quality fairly and accurately.
28 students enrolled

Calculus Functions and their Applications

Mathematical functions widely used for applications in business, economics and life sciences
5.0 (3 ratings)
Course Ratings are calculated from individual students’ ratings and a variety of other signals, like age of rating and reliability, to ensure that they reflect course quality fairly and accurately.
28 students enrolled
Last updated 6/2019
English
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Current price: $69.99 Original price: $99.99 Discount: 30% off
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This course includes
  • 4.5 hours on-demand video
  • 1 downloadable resource
  • Full lifetime access
  • Access on mobile and TV
  • Certificate of Completion
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What you'll learn
  • Applications of mathematics in real life problems
  • Applied calculus
Requirements
  • Basic Algebra
Description

The course is mainly focused on the applications of functions in real life problems. The course concentrates on various types of functions such as linear, quadratic, polynomial, exponential, logarithmic, logistic, and rational.

In the beginning of each section, we go through a brief overview of the mathematical aspect of each type of function and then we present their applications through word problems.

After introducing functions and their applications, we move to the derivative. We begin with an overview on limits and then proceed to the definition of the derivative as the limit. We see the geometric interpretation of it as the slope of the tangent line and as the instantaneous rate of change.  We then proceed to various differentiation  techniques and to the first and second derivative tests. The maximum and minimum points of functions are found using the derivative tests constructing the appropriate sign tables. The concavity of functions is discussed. Then, we examine applications of maximum and minimum points such as maximizing the profit function or minimizing the cost function.

Who this course is for:
  • Students study business, economics, accounting and life sciences
Course content
Expand all 47 lectures 04:15:04
+ Linear Functions and Applications
9 lectures 01:03:55
Cost function
05:19
Cost, revenue and profit functions
06:32
Housing
03:02
Baked beans price
05:44
Refrigerator building cost
09:45
Temperature scale: Fahrenheit vs Celsius
05:26
Marginal cost of coffee
05:46
Break-even analysis
05:56
+ Quadratic Functions and Applications
5 lectures 27:58
Introduction to quadratic functions
08:13
Graphing a quadratic function 1
03:46
Graphing a quadratic function 2
03:42
Motorbike company: cost-revenue-profit functions
04:58
Fitness gym: cost-revenue-profit functions
07:19
+ Polynomial Functions and Applications
4 lectures 23:19
Introduction to polynomial functions
04:24
Graphing a polynomial function
06:01
Finance: Laffer curve
06:59
Pressure of oil in a reservoir
05:55
+ Exponential Functions and Applications
11 lectures 49:07
Introduction to exponential functions
16:20
Finding an exponential function
02:40
Graphing an exponential function
02:55
Healing of wounds
02:47
Exponential probability
03:31
Exponential growth: Epidemics
04:42
Value of a car
03:22
Modeling inflation
03:25
Salaries
02:11
Tuition
03:05
Retirement investments
04:09
+ Logarithmic Functions and Applications
13 lectures 01:01:16
Introduction to logarithmic functions
17:05
Logarithmic equation: example 1
04:50
Logarithmic equation: example 2
03:43
Solving an exponential equation using logarithms 1
02:29
Solving an exponential equation using logarithms 2
02:25
Graphing a logarithmic function
01:10
Sales and advertising
04:22
Diversity index
03:53
Exponential probability
04:38
Healing wounds
04:13
Drug medication
01:55
Learning curve
04:56
Alcohol and driving
05:37
+ Logistic Functions and Applications
4 lectures 25:44
Introduction to logistic functions
05:13
Fruit flies
08:36
Epidemics
08:07
Wood products
03:48