sap course 1497338241

Course Code:

MATH 112

Course Title:

Introduction to Multivariable Calculus

Course Level:

Credit Hours/ ECTS Credits:

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

Catalog Description:

Techniques of Integration, Infinite Sums, Vectors in Plane and 3-Space, Lines and Planes in Space, Functions of Several Variables and Their Limits and Continuity, Partial Derivatives, Max-Mix Problems, Lagrange Multipliers, Double Integrals over Rectangular and More General Regions Techniques of Integration, Infinite Sums, Vectors in Plane and 3-Space, Lines and Planes in Space, Functions of Several Variables and Their Limits and Continuity, Partial Derivatives, Max-Mix Problems, Lagrange Multipliers, Double Integrals over Rectangular and More General Regions

Pre-requisite:
Co-requisite:

Pre-requisites: ( MATH 101 OR MATH 111 )

Co-requisites: NONE

Semester:

Spring

Type of Course:

Compulsory

Mode of Delivery:

Face-to-face

Language of Instruction:

English

Software Usage:

Practice Hours Lab (WebWork Studies)

Course Learning Outcomes:

On successful completion of this module, the students should be able to

• Compute the integrals of functions by integration techniques, specifically by integration by parts, partial fractions.

• Compute improper integrals. • Test the infinite series for convergence/divergence.

• Represent elementary and transcendental functions of one variable as Taylor or Maclaurin series and power series.

• Know vectors in the plane and in 3D space and its properties to understand planes and lines in space.

• Extend the concept of limit and continuity to multi-variable scalar functions.

• Calculate the limits, partial derivatives, directional derivatives, and multi-integrals of several variable scalar functions in Cartesian co-ordinate system.

• Solve problems of Maximum-Minimum Values and Lagrange multipliers for multi-variable scalar functions.

• Represent and solve problems via double integrals over the rectangular region and more general regions.

• Practice the basic principles of mathematical writing.

Learning Activities and Teaching Methods:

Telling/Explaining

Questioning

Reading

Problem Solving

Others

Assessment Methods and Criteria:

Test / Exam

Quiz

Others

Student Workload:

Prepared By:

Mehmet Onur Fen

Revised By:

keymaster

Course Profile