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This is a very practical course which teaches you about the applications of Calculus in real life beyond the boundaries of textbooks. You will learn about these situations under the supervision of a professional practitioner.

Applications of derivatives, integral equations, differential equations, mathematical models and parameters and single variable calculus will be focused in this course. As this is an advanced course, so you will need to be familiar with the basics of Calculus.


This course does not involve any written exams. Students need to answer 5 assignment questions to complete the course, the answers will be in the form of written work in pdf or word. Students can write the answers in their own time. Each answer need to be 200 words (1 Page). Once the answers are submitted, the tutor will check and assess the work.


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Course Credit: Harvard University

Course Curriculum

1.1 Video Meet the Faculty 00:05:00
1.2 What Should I Already Know to Take This Course 00:03:00
2.1 Video What Makes a Good Question 00:03:00
2.2 Parameters of a Question  00:03:00
2.3 Item Response Curves 00:02:00
2.4 The Item Response Model  00:04:00
2.5 Creating and Using Item Response Curves 00:03:00
2.6 Which Explanation Should a Student Get  00:02:00
3.1 A Tale of Two Cities Public Transit Fares in NY and Boston  00:03:00
3.2 Introduction to Demand Functions 00:03:00
3.3 Price Elasticity of Demand.mp4 00:04:00
3.4 Price Elasticity of Demand in the Tale of Two Cities 00:02:00
3.5 Price Elasticity of Demand A Calculus Viewpoint  00:02:00
3.6 The Tale of Two Cities, Revisited 00:06:00
3.7 Elasticity in Developing Countries 00:02:00
4.1 Medical Imaging in a Real Patient’s Case 00:03:00
4.2 What is an x-ray 00:07:00
4.3 A Mathematical Model for an X-Ray  00:02:00
4.4 X-Rays through a Non-Uniform Material 00:05:00
4.5 Finding the Attenuation Function from Many Views 00:04:00
4.6 What They Can Reveal in a Real Patient’s Case 00:04:00
4.7 What is Middle Income Looking at Income Distributions 00:07:00
4.8 A Better View of the Data Relative Frequency Histograms 00:07:00
4.9 Defining Middle Income 00:04:00
5.1 From Histogram to Probability Density Functions 00:07:00
5.2 From Histogram to Probability Density Functions 00:07:00
5.3 How Many Households are in the Middle Income Range 00:06:00
5.4 Mean and Median for the Continuous Model 00:05:00
5.5 How Good is our Model for Predicting Billionaires 00:03:00
5.6 Optional A Little More from Nina about Statistics in her work  00:03:00
6.1 Our Dynamic Earth and Malthus’ Population Model  00:04:00
6.2 Limits on Growth Verhulst’s Model  00:02:00
6.3 D’Ancona’s Puzzle and Volterra’s Predator-Prey Model 00:03:00
6.4 Volterra’s Model in Action Marlin and Sardines 00:03:00
6.5 Phase Plane Analysis A Crash Course 00:06:00
6.6 How Populations Change 00:02:00
7.1 Computing Average Value, Part I 00:02:00
7.2 Computing Average Value, Part II 00:02:00
7.3 The Effect of Fishing on the Predator-Prey System 00:02:00
7.4 D’Ancona’s Puzzle Explained 00:02:00
7.5 Making a Good Model  00:05:00
8.1 Change and Bifurcations 00:06:00
8.2 More Examples of Bifurcations Fishing and Weather 00:04:00
8.3 Modeling Fish Populations 00:03:00
8.4 How Does Fishing Affect the Population 00:04:00
8.5 What is a Bifurcation Summary and One More Example 00:03:00
8.6 Mathematics and Biology A Symbiotic Relationship 00:04:00
9.1 A Population Model for Budworms 00:03:00
9.2 A Budworm Population Model with Predation 00:02:00
9.3 Equilibrium Points and Carrying Capacity 00:02:00
9.4 Increasing the Carrying Capacity Further 00:04:00
10.1 Species in Competition 00:05:00
10.2 How Weak Competition Affects the System 00:03:00
10.3 How Strong Competition Affects the System 00:04:00
10.4 The Bifurcation Value and Competition in Economic Systems 00:03:00
11.1 Introducing the Energy-Mass Equation 00:05:00
11.2 Taylor Approximation for the Energy-Mass Equation 00:02:00
11.3 Making Sense of the First Few Terms of the Approximation 00:03:00
11.4 Higher Terms and Faster Speeds 00:04:00
11.5 String Theory, the Energy Equation and a Physicist’s Dream 00:04:00
12.1 In Closing… and final assessment 00:03:00
Submit Your Assignment 00:00:00
Certification 00:00:00

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