MA201, Lia Vas    --     MA201 TOPICS

1. Review of Differentiation
2.
Indefinite Integrals
3.
Definite Integrals. Left, Right and Middle Sum
4. The Fundamental Theorem of Calculus
5. Substitution
6.
Areas between Curves
7. Volumes (cross-sections)
8. Volumes (shells)
9. Work. Average Value of a Function
10. Exponential Functions and their Derivatives and Integrals
11.
Logarithmic Functions and their Derivatives and Integrals
12. Trigonometric, Inverse Trigonometric Functions and their Derivatives and Integrals
(Exam 1)

13. L'Hopital's Rule
14. Integration by Parts
15. Trigonometric Integrals
16. Partial Fractions
17.
Improper Integrals
18. Approximate Integration: Trapezoidal and Simpson's Sum
19. Arc Length
20. Area of a Surface of Revolution
21. Applications of Integration
(Exam 2)

22. Differential Equations. Separable Equations
23. Direction Fields. Euler's Method
24. Autonomous Differential Equations and Population Dynamics
25. Modeling with Differential Equations. Applications
26. Linear Equations
27. Curves defined by Parametric Equations
28. Derivatives of Parametric Curves. Area
29. Arc Length and Surface Area of a Parametric Curve
30. Polar Coordinates
31. Areas and  Lengths in Polar Coordinates
(Exam 3)