MATH 112 Intermediate Calculus II
2008-2009 Fall

Prerequisites : MATH 111
Office Hours & Location : Mo. 10:40--11:30; Fri. 9:40--10:30 at SA 130
Name of Lecturer : Assoc. Prof. Alex Degtyarev
E-mail address : degt@fen.bilkent.edu.tr
Ext. : 2135
Office : S A130
Web Address: http://www.fen.bilkent.edu.tr/~degt/

Assessment Methods
Assessment Method(%) ContributionDate Week
Midterm:Essay/written252008-10-25 5
Midterm:Essay/written252008-11-29 10
Final:Essay/written35 15
Quiz 10 0
In-class attendance 5 0

Readings
1 Required Textbook: Weir, Hass, Giordano, Thomas' Calculus, 11th edition, Pearson, 2005

Course Contents
Week : 1
Inverse Functions & Derivatives, Natural Logarithms (7.1, 7.2)

Week : 2
Natural Logarithms (continued), The Exponential Function, Log of x with base a (7.2, 7.3, 7.4)

Week : 3
Relative Rates of Growth, Inverse Trigonometric Functions, Hyperbolic Functions (7.6, 7.7, 7.8)

Week : 4
Basic Integration Formulas, Integration by Parts, Partial Fractions (8.1, 8.2, 8.3)

Week : 5
Partial Fractions (continued), Trigonometric Integrals (8.3, 8.4). Midterm I (25/10 at 10:00--12:00)

Week : 6
Trigonometric Substitutions, Improper Integrals (8.5, 8.8)

Week : 7
Improper Integrals (continued), Sequences (8.8, 11.1)

Week : 8
Infinite Series, The Integral Test (11.2, 11.3)

Week : 9
Comparison Tests, The Ratio & Root Tests (11.4--11.5)

Week : 10
Alternating Series, Power Series (11.6, 11.7). Midterm II (29/11 at 10:00--12:00)

Week : 11
Taylor&Maclaurin Series, Convergence of Taylor Series (11.8, 11.9)

Week : 12
Applications of Power Series (11.10)

Week : 13
Three-Dimensional Coordinate systems, Vectors, The Dot Product (12.1--12.3)

Week : 14
The Cross Product, Lines &Planes in space, Cylinders and Quadric Surfaces (12.4, 12.5, 12.6)

Week : 15
Final Exams : 08.01.2009 - 19.01.2009