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Calculus 3

 Course Title: Calculus (3) Instructor: Dr. Bashir Al-Hdaibat Course Number: 110101201 Instructor’s Office: IT 148 Prerequisite(s): Calculus (2) Instructor’s Phone: N/A Designation: Compulsory Instructor’s Email: b.alhdaibat@hu.edu.jo Credit Hours: 3 Office Hours: N/A

Course summary:  Covers coordinate systems in three dimensions, analytic geometry of lines and planes, vector valued functions, functions of several variables, derivatives such as partial derivatives, gradients and directional derivatives, optimization problems of real valued functions of several variables, definite integrals to functions of two and three variables and Lagrange multipliers.

Text: Calculus Early Transcendentals, by James Stewart, 7th Edition

 Activities Percentage First Exam 30% Second Exam 30% Final exam 40%

Exams: There will be two one-hour exams and a final exam. The use of calculators or notes is not permitted during the exams.

Syllabus: I plan to cover roughly the chapters 12, 13, 14 and 15 in Stewart's book.

List of Topics:

 Section Topic 12.1 Three-Dimensional Coordinate System 12.2 Vectors 12.3 The Dot Product 12.4 The Cross Product 12.5 Equations of Lines and Planes 12.6 Cylinders and Quadric Surfaces 13.1 Vector Functions and Space Curves 13.2 Derivatives and Integrals of Vector Functions 13.3 Arc Length and Curvature 14.1 Functions of Several Variables 14.2 Limits and Continuity 14.3 Partial Derivatives 14.5 The Chain Rule 14.6 Directional Derivatives and the Gradient Vector 14.7 Maximum and Minimum Values 15.1 Double Integrals over rectangles 15.2 Iterated Integrals 15.3 Double Integrals over General Regions 15.4 Double Integrals in Polar Coordinates 15.7 Triple Integrals 15.8 Triple Integrals in Cylindrical Coordinates 15.9 Triple Integrals in Spherical Coordinates

Final Grade: The Final Grade will be determined by the following scale (*)

 2 tests: 30% + 30% Final exam: 40% Final course grade: 100% Percentage Grade Grade point value > 94 A + 4.00 90 – 94 A 3.75 85 – 89 A - 3.50 80 – 84 B + 3.25 75 – 79 B 3.00 70 – 74 B - 2.75 66 – 69 C + 2.50 62 – 65 C 2.25 58 – 61 C - 2.00 54 – 57 D + 1.75 50 – 53 D 1.50 < 50 F 0.00

(*) We may adjust the scale to be more lenient, depending on the performance of the class.