# 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

Recommended Reading:

1. Calculus, 7th Ed. by James Stewart.
2. Thomas' Calculus, 12th Ed. by George B. Thomas
3. Calculus, A Complete Course, 7th Ed. by Adams & Essex.

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

hrsMidterm Exam 1

7

hrsMidterm Exam 2

7

hrsFinal Exam

7

hrs## Prepared By:

## Revised By:

teduadmin