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
  

Integrals.
1: Introduction of the Definite Integral; 3: Properties of Definite Integrals
Material see: Definite Integrals
• October, Thursday 10
  

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
• October, Thursday 17
  

Integrals.
1: Change of Variable of integration; 2: Special Methods of Integration;
3: Improper Integrals
Material see: Methods of Integration
• October, Thursday 24
  

Gamma and Beta Functions.
Material see: Gamma and Beta Functions
• October, Thursday 31
  

Improper Integrals.
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
• November, Thursday 7
  

NO CLASS
• November, Thursday 14
  

Multiple Integrals.
1: Double Integrals; 2: Iterated Integrals.
Material see: pages 221-223 of Multiple Integrals

• November, Thursday 21
  

Exercises on the first part: Integrals, Gamma and Beta Functions, Improper Integrals.

• November, Thursday 28
  

Middle Term Exam: Solution

• December, Thursday 5
  

Middle Term Exam correction.
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

• December, Thursday 12
  

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

• December, Thursday 19
  

Line Integrals, Surface Integrals and Integral Theorems.
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

• December, Thursday 26
  

Line Integrals, Surface Integrals and Integral Theorems.
6. Condition for a Line Integral to be independent of the path;
7. Surface Integrals.
Material see: pages 246-248 of Line Integrals

• January, Thursday 9
  

Line Integrals, Surface Integrals and Integral Theorems.
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

• January, Thursday 16
  

Exercises on Line, Surface integrals and related Theorems.
• January, Thursday 23
  

Final Term Exam
Last year Final Test Solution