sap course 1434122360

Course Code & Number:

MATH 112

Course Title:

Introduction to Multivariable Calculus and Linear Algebra

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. 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 over Rectangular and More General Regions. Systems of Linear Equations, Row Reductions, Solution Sets of Linear Systems, Linear Independence. Introduction to Linear Transformations, Matrix of a Linear Transformation, Matrix Operations, Inverse of a Matrix, Characterizations of Invertible Matrices. Subspaces of R^n, Dimension and Rank. Introduction to Determinants, Properties of Determinants, Cramer's Rule, Volume and Linear Transformations.

Pre-requisites & Co-requisites:

Pre-requisites: MATH 101 OR MATH 111
Co-requisites: NONE
Grading: 

Quiz - 9% 
Homework - 6% 
Exam 1 - 20% 
Exam 2 - 20% 
Exam 3 - 20% 
Final - 25%

Year of Study: 
Freshman
Semester: 
Fall
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. 2. Linear Algebra and Its Applications, D. C. Lay
Computer Usage: 
Online homework via WeBWorK.
Learning Outcomes: 

Upon succesful completion of this course, a student will be able to
1. perform vector operations in the plane and 3D space
2. find the standard unit normal vector
3. take the partial derivatives of functions with several variables
4. characterize the local minimum and maximum points of functions with several variables
5. take integrals over rectangular and more general regions
6. define, identify and solve linear equations
7. define and verify linear independence
8. calculate the determinant of a matrix

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