NEAR EAST UNIVERSITY
FACULTY OF ENGINEERING
Course code: MAT 102
Course Title: CALCULUS II
Semester: FALL, 2015-2016
Credit: 4
Instructor Name : Abba AUWALU
Group : 2
Email : abba.auwalu@neu.edu.tr
Office : 16 – D06.
Textbook : CALCULUS Early Transcendentals; Howard Anton, Irl Bivens & Stephen Davis, 10th edition - 2013
Recommended Reference Books : 1- CALCULUS; Ron LARSON, Bruce H. EDWARDS, 5th edition - 2011
2- CALCULUS; Robert A. ADAMS, Christopher ESSEX, 7th edition - 2010
3-THOMAS’ CALCULUS ; WEIR, HASS, GIORDANO, 11th Edition – 2008
Weekly Schedule: September 14 – December 18
Week 1-2-3-4
Chapter 9 : INFINITE SERIES
9.1: Sequences
9.2: Monotone Sequences
9.3: Infinite Series
9.4: Convergence Tests
9.5: The Comparison, Ratio, and Root Tests
9.6: Alternating Series; Absolute and Conditional Convergence
9.7: Maclaurin and Taylor Polynomials
9.8: Maclaurin and Taylor Series; Power Series
9.9: Convergence of Taylor Series
Week 5-6-7
Chapter 10 : PARAMETRIC AND POLAR CURVES
10.1: Parametric Equations; Tangent Lines & Arc Length for Parametric Curves
10.2: Polar Coordinates
10.3: Tangent Lines and Arc Length, and Area for Polar Curves
Week 8
MID – TERM EXAMS: November 02 - 07
Week 9-10
Chapter 12 : VECTOR-VALUED FUNCTIONS
12.1: Introduction to Vector-Valued Functions
12.2: Calculus of Vector -Valued Functions
12.3: Change of Parameter; Arc Length
12.4: Unit Tangent, Normal, and Binormal Vectors
12.5: Curvature
Week 11-12
Chapter 13 : PARTIAL DERIVATIVES
13.1: Functions of Two or More Variables
13.2: Limits and Continuity
13.3: Partial Derivatives
13.4: Differentiability, Differentials, and Local Linearity
13.5: The Chain Rule
13.6: Maxima and Minima of Functions of Two Variables
13.7: Lagrange Multipliers
Week 13-14-15
Chapter 14 : MULTIPLE INTEGRALS
14.1: Double Integrals
14.2: Double Integrals over Nonrectangular Regions
14.3: Double Integrals in Polar Coordinates
14.4: Triple Integrals
Week 16
Chapter 15 : TOPICS IN VECTOR CALCULUS
15.1: Vector Fields
15.2: Line Integrals
GRADING:
Mid-Term : 35 %
Home Work/Quiz : 15 %
Final : 50 %
Letter Percent
AA 90 – 100
BA  85 – 89
BB 80 – 84
CB 75 – 79
CC  70 – 74
DC 65 – 69
DD 60 – 64
FD  50 – 59
FF 00 – 49
CATALOG DATA
Sequences, Infinite series, Geometric series, Power series, Taylor & Maclaurin series and
Binomial series, Lines and planes, Functions of several variables, Limits and Continuity,
Partial Differentiation, Chain Rule, Tangent plane, Critical points, Global and Local Extrema,
Directional Derivatives, Gradient, Divergence and Curl, Multiple integrals with applications,
Triple integrals with applications, Triple integrals in Cylindrical and Spherical coordinates,
Line-, Surface- and Volume Integrals, Independence of path, Green’s Theorem, Conservative
Vector Fields, Divergence Theorem, Stoke’s Theorem.
RELATIONSHIP WITH THE OTHER COURSES
This course provides the mathematical background for engineering students and is very
important, for instance, for advanced courses on partial differential equations or numerical
analysis.