Course Code & Number:
Introduction to Multivariable Calculus and Linear Algebra
(3+0+2) 4 TEDU Credits, 7 ECTS Credits
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
Quiz - 9%
Homework - 6%
Exam 1 - 20%
Exam 2 - 20%
Exam 3 - 20%
Final - 25%
1. Calculus, Single and Multivariable, 2nd Ed. by Blank & Krantz.
2. Linear Algebra and Its Applications, D. C. Lay
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.
Online homework via WeBWorK.
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:
Assessment Methods and Criteria:
Test / Exam