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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

 

Grading: Your grade is based on 3 components:

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.