CoursePlan_151310_42804.docx

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Zarqa University Instructor:

Faculty of Science Lecture’s time:

Department: Mathematics Semester:

Course title: Calculus (3). Office Hours:

Course description:

This course is devoted to vectors and planes in 3-dimensional coordinates, Functions of Several Variables and Multiple Integrals.

Aims of the course: This module aims to :

1. Get introduced to vectors in 3-diminsion and use operations on them with some applications.

2.

Understand definitions, examples, and theorems pertaining to calculus and its applications.

3. Deal with functions of several variables and their properties with some applications.

4. Manipulate multiple integrals.

Intended Learning Outcomes: (ILOs)

A.

Knowledge and Understanding A1. Concepts and Theories:

 New theories and concepts of Calculus.

 Analytical procedures for solving Problems.

A2. Contemporary Trends, Problems and Research:

 Serve to understanding topics in this course.

 Comprehend theorems of calculus.

B.

Subject-specific skills B1. Problem solving skills:

 Students will be able to apply the fundamental of

Calculus

that they have learned in this course to solve problems.

 Students will develop the ability to think independently and solve problems.

B2. Modeling and Design:

Teaching strategies to be used to develop these cognitive skills.



Lectures are followed by numerous examples, some of which are practical in nature, to illustrate the application of learned theories.



Problems in class are used to explain further the theories and to help the students apply them in solving problems.

B3. Application of Methods and Tools:

 Exams, quizzes and home works will include problems, solution of which requires critical thinking and identification of correct formulas.

 Class discussion.

C.

Critical-Thinking Skills C1. Analytic skills:

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

Responsibility to solve given assignments on their own and submit the solution on time.



Time management in study of course materials.



Use of university library and web search for collecting information

C2.Strategic Thinking:

Participation of students in classroom discussion .

C3. Creative thinking and innovation:

Constructing a proof of theorems and describe different examples.

D.

General and Transferable Skills (other skills relevant to employability and personal development)

D2.Teamwork and Leadership:

Homework’s and short exams.

Course structures:

Wee k

Credit

Hours ILOs Topics Teaching

Procedure

Assessment methods

1 3 A1, A2 , D2,

B2,B3

Rectangular Coordinates in 3-spaces.

Lectures and discussion

Participation question, quiz and homework 2 3 A1, B1, B2, B3,

C1,

Vectors, Dot Product, Cross Product.

Participation question, quiz and homework 3 3 A1, B1, C1, B2,

B3

Parametric Equations of Lines. Lectures and discussion

Participation question, quiz and homework 4 3 A1, B1, C1 B2,

B3

Planes in 3-Spaces, Quadric Surfaces.

Participation question, quiz and homework 5 3 A1, B1, C1, B2,

B3

Cylindrical and Spherical Coordinates.

Participation question, quiz and homework

6 3 A1, B1, C1

B2, B3

Function of Two or more Variables.

7 3 A1, B1, C1

B2, B3

Limits and Continuity, Partial Derivative.

8 3 A1, B1, C1

B2, B3

Differentiability, Local Linearity and Differentials.

9 3 A1, A2,B1,B2,

C1

The Chain Rule, Directional Derivatives and Gradients.

Participation question, quiz and homework 10 3 A1, A3,B1, C1 Tangent Planes and Normal

Vectors.

11 3 A1, B1, C1

D2, B2, B3

Maxima and Minima of Functions of Two Variables, Lagrange Multiplier.

12 3 A1, B1, C1 Double Integrals. Lectures and

discussion

13 3 A1, B1, C1, D1 Triple Integrals. Lectures and

discussion

Participation question, quiz and homework 14 3 A1, B1, C1, D1 Triple Integrals in Cylindrical and

CoursePlan_151310_42804.docx

Zarqa University Instructor:

Faculty of Science Lecture’s time:

Department: Mathematics Semester:

Course title: Calculus (3). Office Hours:

Course description:

This course is devoted to vectors and planes in 3-dimensional coordinates, Functions of Several Variables and Multiple Integrals.

Aims of the course: This module aims to :

1. Get introduced to vectors in 3-diminsion and use operations on them with some applications.

2.

3. Deal with functions of several variables and their properties with some applications.

4. Manipulate multiple integrals.

Intended Learning Outcomes: (ILOs)

A.

 New theories and concepts of Calculus.

 Analytical procedures for solving Problems.

 Serve to understanding topics in this course.

 Comprehend theorems of calculus.

B.

 Students will be able to apply the fundamental of

that they have learned in this course to solve problems.

 Students will develop the ability to think independently and solve problems.

Teaching strategies to be used to develop these cognitive skills.

Lectures are followed by numerous examples, some of which are practical in nature, to illustrate the application of learned theories.

Problems in class are used to explain further the theories and to help the students apply them in solving problems.

 Exams, quizzes and home works will include problems, solution of which requires critical thinking and identification of correct formulas.

 Class discussion.

C.

Responsibility to solve given assignments on their own and submit the solution on time.

Time management in study of course materials.

Use of university library and web search for collecting information

Participation of students in classroom discussion .

Constructing a proof of theorems and describe different examples.

D.

Homework’s and short exams.

Course structures:

Wee k

Credit

Hours ILOs Topics Teaching

Procedure

Assessment methods

References:

A.

Calculus, by H. Anton.

B.

Any Calculus book.

Assessment Methods:

Methods Grade Date

First exam 25 …../ 11 / 2019 Second exam 25 …../ 12 / 2019

Final 50 …../ 1 / 2020