NEAR EAST UNIVERSITY FACULTY OF ENGINEERING

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.