MATH 102

Course ID:

Course Code & Number

MATH 102

Course Title

Multivariable Calculus

Level

BS

Credit Hours/ ECTS Credits

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

Year of Study:

First Year

Semester:

Spring

Type of Course:

Compulsory

Mode of Delivery:

Face-to-face

Language of Instruction:

English

Pre-requisite / Co-requisite::

Catalog Description

Sequences, Series, Taylor Series, Vectors in R2 and R3, Dot and Cross Products, Lines and Planes in R3, Functions of Several Variables, Their Limits and Continuity, Partial Derivatives, Directional Derivatives, Maximum-minimum problems, Lagrange Multipliers, Double Integrals, Triple Integrals, Vector-Valued Functions and, Their Limits, Continuity and Derivatives, Vector Fields, Line Integrals, Green’s Theorem

Course Objectives

Software Usage

Practice Hours Lab (WebWork Studies)

Course Learning Outcomes

Upon successful completion of this course, a student will be able to:

1. Recall notations, conventions, definitions, theorems and certain examples and counterexamples,

2. Test the series for convergence/divergence, represent elementary and transcendental functions of one variable as Taylor or Maclaurin series.

3. Perform vector operations such vector addition, scalar-vector multiplication, dot product and cross product,

4. Relate vector operations to geometric notions and structures such as distance, projection, orthogonality, parallelism, lines and planes in R3,

5. Solve max-min problems and problems of Lagrange multipliers for multi-variable scalar functions,

6. Evaluate limits, partial derivatives, directional derivatives, and multi-integrals of multivariable scalar functions in various coordinate systems,

7. Compute limits, derivatives, integrals and curvature of vector valued functions,

8. Evaluate line integrals,

9. Evaluate divergence, and curl of vector fields,

10. Use Green's Theorem to evaluate line integrals.

Learning Activities and Teaching Methods:

Telling/Explaining Questioning Reading Peer Teaching Problem Solving Collaborating Others

Assessment Methods and Criteria:

Test / Exam Quiz Others

Assessment Methods and Criteria Others:

Design Content

Recommended Reading

Recommended: • Calculus, A Complete Course, 8th Edition, by Adams and Essex • Thomas’ Calculus • Calculus, Single and Multivariable, by Blank and Krantz

Required Reading

Textbook: Calculus, Metric Version by James Stewart, (8th Edition)

Grading

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

Learning Activities and Teaching Methods Others:

Course Coordinator:

Student Workload:

Workload	Hrs

Course & Program Learning Outcome Matching: