Course Content
Week Topics Study Materials
1 Definite Integral
2 Fundamental theorem of Calculus
3 Indefinite Integral, Basic Integration Rules
4 Techniques of Integration (Change of Variables, Integration by Parts)
5 Techniques of Integration (Partial Fractions, Trigonometric transformations)
6 Trigonometric integrals
7 Improper Integrals of first kind
8 Improper Integrals of second kind
9 Midterm
10 Applications of Definite Integrals(Volume, Surface Area)
11 Applications of Definite Integrals(Length of a curve, Center of Mass, Work)
12 Sequences, Series
13 Convergence Tests for series, power series
14 Parametric curves and Polar Coordinates

Sources
Textbook Thomas GB. Jr. , Weir M. D., Hass J., Calculus 1, (Çeviri: Recep Korkmaz, English edition published by Addison Wesley, 2005) , Beta Basım A.Ş., İstanbul, 2009.
Additional Resources 1. Stewart J., Calculus (Diferensiyel ve İntegral hesap), TÜBA, Ankara, 2007. 2. Balcı, M. Genel Matematik, Balcı Yayınları, Ankara, 2008. 3. Kadıoğlu, E, Kamali, M., Genel Matematik, Erzurum, 2005. 4. Adams R. A., Calculus: a complete course, Addison Wesley Longman, Toronto,2003.