sap course 1434120465

Course Code & Number:

MATH 102

Course Title:

Multivariable Calculus

Level of Course:

BS

Credits:

(3+0+2) 4 TEDU Credits, 7 ECTS Credits

Catalog Description:

"Vectors in Plane and 3-Space, Dot and Cross Products, Lines and Planes in Space. Vector-valued Functions and Their Limits, Derivatives and Continuity, Tangent Vectors and Arc Length, Curvature. Functions of Several Variables and Their Limits and Continuity, Partial Derivatives, Differentiability and Chain Rule, Gradients and Directional Derivatives, Tangent Planes, Maximum-Minimum Problems, Lagrange Multipliers. Double Integrals, Calculation of Volumes of Solids, Integrating in Polar Coordinates, Triple Integrals. Vector Fields, Line Integrals, Conservative Vector Fields and Path Independence, Divergence, Gradient and Curl, Green's Theorem, Surface Integrals, Stoke's Theorem, The Divergence Theorem."

Pre-requisites & Co-requisites:

Pre-requisites: MATH 101
Co-requisites: NONE
Grading: 

Quiz - 5% 
Homework - 10% 
Exam 1 - 15% 
Exam 2 - 15% 
Exam 3 - 20% 
Final - 35%

Year of Study: 
Freshman
Semester: 
Spring
Mode of Delivery: 
Face-to-face
Language of Instruction: 
English
Course Type: 
Compulsary
Required Reading: 
1. Calculus, Single and Multivariable, 2nd Ed. by Blank & Krantz.
Extended Description: 

Vectors in Plane and 3-Space, Dot and Cross Products, Lines and Planes in Space. Vector-valued Functions and Their Limits, Derivatives and Continuity, Tangent Vectors and Arc Length, Curvature. Functions of Several Variables and Their Limits and Continuity, Partial Derivatives, Differentiability and Chain Rule, Gradients and Directional Derivatives, Tangent Planes, Maximum-Minimum Problems, Lagrange Multipliers. Double Integrals, Calculation of Volumes of Solids, Integrating in Polar Coordinates, Triple Integrals. Vector Fields, Line Integrals, Conservative Vector Fields and Path Independence, Divergence, Gradient and Curl, Green's Theorem, Surface Integrals, Stoke's Theorem, The Divergence Theorem.

Computer Usage: 
Online homework via WeBWorK.
Learning Outcomes: 

Upon succesful completion of this course, a student will be able to
1. recall basic principles of mathematical writing, conventions, mathematical notation and fundamental definitions related to multivariable scalar and vector valued functions. 
2. write equation of lines and planes in R^3.
3. extend the concepts of limit and continuity to multi-variable scalar and vector valued functions.
4. calculate limits, partial derivatives, directional derivatives, and multi-integrals of multi-variable scalar functions in various coordinate systems algebraically, graphically, and numerically.
5. compute limits, derivatives and curvature of vector valued functions algebraically, graphically and numerically.
6. solve problems of Maximum-Minimum Values and Lagrange Multipliers for multi-variable scalar functions.
7. calculate line integrals, divergence, gradient and curl of vector fields.
8. use main theorems of vector calculus such as Green’s Theorem, Stokes’s Theorem and Divergence Theorem.

Planned Learning Activities and Teaching Methods: 
Telling/Explaining
Questioning
Reading
Peer Teaching
Problem Solving
Collaborating
Others
Assessment Methods and Criteria: 
Test / Exam
Quiz/Homework
Others

Student Workload:

Quizzes /Homeworks
60
hrs
Midterm Exam 1
7
hrs
Midterm Exam 2
7
hrs
Final Exam
7
hrs

Prepared By:

Revised By:

teduadmin