Department of Mathematics
Math 203 Syllabus
King Abdul aziz University
First Semester 1432-33
First Semester 2011-2012
Textbook:
Calculus, Early Transcendental Sixth Edition.
International Metric Version, 2008
Author: J. Stewart
Lectures
Chapter Title
Section
Title
10.1
Parametric Equations
10.2
Chapter 10
Parametric
Equations
Polar
Coordinates
Subtitle
Examples
Exercises
HW
Sketching and identifying the Parametric
Equations
1,2, 3, 4, 5
1,5,9,11,1
14
1-4,5-10,11-18,1922
Tangents, Areas and Arc Length ,Surface Area
1,2, 3, 4,6
2, 10, 12,
14,20,45
1, 3, 5,7,8 ,9, 10,11
15,17, 29, 47
Definition of Polar coordinates, Polar Equations
and Graphs, Relating polar and Cartesian
Coordinates, Tangents to polar curves
1, 2, 3,4,
5,6,7,8,9
1,3,5,17,2
6
Areas and Arc Length in Polar Coordinates
1, 2, 3,4
1,7,9,13,1
4,18,23
2,4,6,13,14,16,19,
20,21,22,24,25,33,
42,63
3,6,8,10,12,16,17,2
1,22,25,27,28,31,37
Parabolas, Ellipses, Hyperbolas, Shifting conic
sections.
1,2, 3, 4,
5, 6,7
1,5,6,8,13, 1-48 (even)
16,23,29
Calculus with
Parametric Curves
10.3
Polar Coordinates
10.4
Areas and Lengths in
Polar Coordinates
10.5
Conic Sections
10.6
Conic Sections in
polar coordinates
12.1
Eccentricity of Ellipse, Hyperbola, Parabola
1,2, 3, 4, 5
2,3,4,6,8,1 5,9,13,16,17,25,26
2,14,15
Distance and Spheres in Space
1,2,3,4,5,6
3,5,6,8,10
11,13,14,18
19,23-32 (odd)
Component Form, Vector Algebra Operations,
Unit Vectors, Midpoint of a Line Segment
1, 2,3, 4,5,
6
13,16,23
18,22
Angle Between Vectors, Perpendicular
(Orthogonal) Vectors, Dot Product Properties
and Vector projections, writing Vectors as a Sum
of Orthogonal Vectors, Direction Angles and
Direction Cosines
The Cross Product of Two Vectors in Space,
The volume of the parallelepiped
1, 2, 3, 4,
5, 6,7,8
Line and Line Segments in Space, The Distance
from a Point to a Line in Space, An Equation for
a Plane in Space, The Distance from a Point to a
Plane, Angle Between Planes
Cylinders, Quadric Surfaces
1, 2, 3,
4,5, 6, 7,
8, 9, 10
1-72 (odd)
1, 2, 3, 4,
5, 6, 7,8
3,11-20 35,41
The Domain, Limits of Vector Functions
1, 2, 3
Derivatives , Differentiation Rules, Integrals
1,2,3,4,5
9,17,33
Arc Length as a Space Curve, Unit Tangent
Vector T. The normal and Binormal vectores
1, 2, 3,
4,5,6,7,8
4,7,18,43
Functions of Two Variables; Graphs, Level
Curves, and Contours of Functions of Two
Variables; Functions of Three Variables
1, 4,
5,6,7,10,1
1,12,14,15
Three-Dimensional
Coordinate Systems
12.2
Vectors
12.3
The Dot Product
12.4
The Cross Product
12.5
Equations of Lines and
Planes in Space
12.6
Cylinders and Quadric
Surfaces
13.1
Chapter 13
2,5,6,33,
37
1,3
1, 3, 7, 9, 12, 15,
17, 19, 21,34, 38
2,4,5,6
Vector Functions and
space Curves
13.2
Vector
Functions
1, 2, 3, 4,5
9,19,23,30 1, 3, 7, 10, 26,31,37
,34,35
21,25,34,38
Derivatives and
Integrals of Vector
Functions
13.3
Arc Length
and Curvature
14.1
Functions of Several
Variables
8, 11
1, 3, 5, 6,9,20,44
6,10,12-20
Chapter 14
14.2
Limits and Continuity
Partial
Derivatives
14.3
Partial Derivatives
14.5
The Chain Rule
14.6
Directional
Derivatives and The
Gradient Vector
14.7
Maximum and
Minimum Values
Limits, Continuity, Functions of More Than Two
Variables
1,2,3,4,5,6
,7,8,9
Partial Derivatives of a Function of Two
Variables, Calculations, Functions of More Than
Two Variables, Partial Derivatives and
Continuity, Second-Order Partial Derivatives,
Clairaut's Theorem
The Chain Rule cases(1,2,General Version) ,
Implicit Differentiation
1, 2, 3, 4,
5, 6, 8, 9
11,30,39,5 13,15-38(odd),
1,55,77
42,50,57,61,72
1, 3, 4,
5,6,7,8,9
7,10,27,33 5,7-12,21-26,30,33
Directional Derivatives, The Gradient Vector,
Functions of Three Variables, Maximizing the
Directional Derivative, Tangent Planes to Level
Surfaces.
Definition of Maximum and Minimum Values
Derivative Tests for local Extreme Values,
Saddle Point, Absolute Maxima and Minima on
Closed bounded regions
1, 2, 3, 4,
5, 6, 7, 8.
5, 8, 16,
41
4, 6, 7, 9, 10, 11-15,
17-26, 39, 40, 4244
1, 2, 3, 4,
5,6,7
11,31
1,5, 7, 9, 17, 19, 25,
29, 31
3,5,8,14
24,27,29-38
39,41,43
Note:
1. All examples and exercises must be solved by the instructor.
2. Every Exam will contain at least 20% multiple choice (MC) questions.
Marks distribution
1. First Exam (90 Min; 25 Marks); Second Exam (90 Min; 25 Marks); Final Exam (120 Min; 40 Marks).
2. Quizzes and Home Works (10 Marks).