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.

**Assessment**

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.

**Certification**

Edukite courses are free to study. To successfully complete a course you must submit all the assignment of the course as part of assessment. Upon successful completion of a course, you can choose to make your achievement formal by obtaining your Certificate at a cost of £49.

Having an Official Edukite Certification is a great way to celebrate and share your success. You can:

- Add the certificate to your CV or resume and brighten up your career
- Show it to prove your success

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 | ||

Assessment | |||

Submit Your Assignment | 00:00:00 | ||

Certification | 00:00:00 |

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