The classes follow the material provided by the teacher accordingly with the syllabus. The register is
tentative and will be brought up to date almost daily.
Monday lessons are from 6pm to 7:30pm at Mathematics Department room 4-506.
- October, Thursday 3
- October, Thursday 10
- October, Thursday 17
- October, Thursday 24
- October, Thursday 31
- November, Thursday 7
- November, Thursday 14
- November, Thursday 21
- November, Thursday 28
- December, Thursday 5
- December, Thursday 12
- December, Thursday 19
- December, Thursday 26
- January, Thursday 9
- January, Thursday 16
- January, Thursday 23
1: Introduction of the Definite Integral; 3: Properties of Definite Integrals
Material see: Definite Integrals
1: Solved problems on definite integral (5.2 and 5.3 page 108-109) ; 2: First Mean Value Theorem
3: Connecting Integral and Differential Calculus: Primitives; 4: The Fundamental Theorem of Calculus
5: Integrals of Elementary Functions
Material see: Indefinite Integrals
1: Change of Variable of integration; 2: Special Methods of Integration;
3: Improper Integrals
Material see: Methods of Integration
Material see: Gamma and Beta Functions
1: Definition of an Improper Integral; 2: Improper Integrals of the First kind; 3: Convergence and Divergence of Improper Integral of the First kind;
4: Improper Integrals of the Second kind; 6: Special Improper Integrals of the Second Kind;
7: Convergence tests for Improper Integral of the Second kind; 8: Improper Integrals of the Third kind.
Material see: Improper Integrals
1: Double Integrals; 2: Iterated Integrals.
Material see: pages 221-223 of Multiple Integrals
Multiple Integrals.
3: Triple Integrals; 4: Transformation of Multiple Integrals;
5: Differential Element of Area in Polar, Cylindrical and Spherical Coordinates.
Material see: pages 224-227 of Multiple Integrals
5: Differential Element of Area in Polar, Cylindrical and Spherical Coordinates.
Material see: pages 225-227 of Multiple Integrals
6: Application of double and triple integrals to Area and Volumes computations.
Material see: Examples 9.10 and 9.17 of Area and Volumes
7: Gaussian Integral. Material see here
1. Line Integrals; 2. Evaluation of Line Integrals for Plane Curves;
3. Properties of Line Integrals Expressed for Plane Curves.
4. Simple Closed Curves, Simply and Multiply Connected Regions;
5. Green's Theorem in the Plane.
Material see: pages pages 243-246 and 251 (Problem 10.1) of Line Integrals
6. Condition for a Line Integral to be independent of the path;
7. Surface Integrals.
Material see: pages 246-248 of Line Integrals
7. Surface Integrals; 8. The Divergence Thorem; 9. Stokes' Theorem
Material see: pages 246-248 of Line Integrals
Arc Length. Material see here
Surface of Revolution. Material see here
Volume of Revolution. Material see here
Last year Final Test Solution