MATH1003

Integral Calculus and Modelling

University of Sydney, Australia

About course

This course looks at techniques of integration and their application to solve differential equations. The first part of the courses focuses on the derivation of integration using Riemann sums and then moves towards using integration to find area and volume as well as further techniques of integration. The second part of the courses uses many of these techniques of integration to solve differential equations which model natural phenomenon in the real world.

About students

Coming soon!

1. Introduction & Revision


1.	MATH1003	FREE	5:17
2.	Revision - Differentiation Of Polynomials	FREE	7:18
3.	Revision - Integration Of Polynomials	FREE	5:52
4.	Revision - Differentiation And Integration Of Trig Functions	FREE	7:20
5.	Revision - Differentiation And Integration Of Exponentials	FREE	7:52
6.	Revision - Differentiation And Integration Of Natural Log	FREE	8:21

2. Riemann Sumes

3. Definite & Indefinite Integral

4. Area and Volume

5. Integration by Substitution

6. Integration by Parts & Reduction Formulas

7. Logs, Exponential & Hyperbolic Functions

8. Introduction to Ordinary Differential Equations

9. Separable Equations & Trig/Hyperbolic Substitution

10. Partial Fractions, Natural Growth & Logistic Function

11. 1st Order Linear Differential Equations

12. 2nd Order Linear Differential Equations

13. Systems of Differential Equations

1.1 MATH1003

1.1 Introduction To Integral Calculus And Modelling from spoonfeedme on Vimeo

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