FACULTY OF SCIENCE / MATHEMATICS / MAT1002 - ANALYSIS II

Contents Of The Courses in a weekly Period

Week 
Subjects 
Sources 
1The fundamental theorems about derivative, Convexity and Concavity, Asymptotes[1] pp. 171-192, [2] pp. 272-278, 292-299
2Indeterminate forms of limit, Curve sketching in cartesian coordinates[1] pp. 186-197, [2] pp. 272-278, 714-718
3Curve sketching in polar coordinates, Antiderivatives, Indefinite integrals[1] pp. 209-218, [2] pp.369-376,553-569
4Technique of integration by substitution, some special substitutions, Integration by parts [1] pp. 209-218, [2] pp.369-376,553-569
5Integration by parts, Reduction integrals[1] pp. 216-224, [2] pp. 553-569, 581-593
6Reduction integrals, Integration of rational functions[1] pp. 224-234, [2] pp. 581-593, 570-581
7Integration of rational and irrational functions, Area under a curve [1] pp. 235-244, 248-254, [2] pp. 581-593, 325-332
8Riemann sum, Define integral and its properties[1] pp. 254-265, [2] pp. 332-350
9Define integral and its properties, fundamental theorems of integral calculus[1] pp. 265-284, [2] pp. 356-363, 376-379
10Area in cartesian and polar coordinates[1] pp. 296-305, [2] pp. 379-383, 725-728
11Calculation of arc lenght and volume of a surface of revolution[1] pp. 309-318, [2] pp. 416-424, 728-729, 396-400
12Calculation of volume of a surface of revolution[1] pp. 318-323, [2] pp .400-416
13 Area of surface of revolution, Improper integrals[1] pp. 326-332, [2] pp. 436-444, 729-732, 619-633
14Improper integrals [2] pp. 619-633