MTS105_College_Algebra

=Reference Course Outline for:** __ MTS105: College Algebra __ **=

**Course Lead:**
Dr. Nasir Touheed

Course Description:
To strengthen basic mathematical knowledge of fresh students as well as to make them familiar to the connectivity of quantitative knowledge with real life solutions. College Algebra seems to be necessary for studying advance courses like Business Mathematics and Calculus in subsequent semesters. The main purpose here is to teach the course with the spirit of teaching Mathematics without any particular emphasis for applications. As already mentioned the application part will be covered in Business Mathematics course. This is a remedial course and students can bypass this course by taking the college algebra exam. Students who have an A-level Maths (or equivalent) do not need to take this course.

Prerequisite(s):
None

Primary Coure Outline Link:
Primary Course Outline.

Typical Semester in which this course is offered:
Summer (for newly admitted students)

Programs in which course is offered:
Remedial Math course for BBA / BS

Outline:
 Text Book: 1. Mathematics for Class XI, Sindh Text Book Board. 2. Mathematics for Class XII, Sindh Text Book Board. Reference Books: 1 G. Eason, C.W. Coles & G. Gettinby: //Mathematics & Statistics for the Social-Sciences,// John Wiley & Sons 2. M. A. Munem, D. J. Foulis: //College Algebra with applications,//, 3rd Ed.
 * Topics to be covered **
 * ** Contents ** ||
 * ** Real Numbers, its subsets and relations ** ||
 * Sets of Numbers, Equality and Inequality,  The Modulus of real numbers,  Functions,  Graphs.  ||
 * ** Sequences and Series ** ||
 * The arithmetic series, The geometric series,  The binomial theorem for integral index,  The binomial theorem for general index.  ||
 * ** Polynomials ** ||
 * Definition, Polynomial of degree one,  Polynomial of degree two,  Properties of complex numbers,  Polynomial of degree three,  Solution of polynomial equations,  Manipulation of Polynomials,  Interpolation  ||
 * ** The solution of equations ** ||
 * Linear equations and their systems, Trigonometric equations, Graphical Methods,  Newton’s Method  ||
 * ** Matrices ** ||
 * Matrices. The algebra of Matrices,  Population matrices,  The transposed matrix,  The inverse matrix,  Solving simultaneous linear equations by Gaussian elimination,  Determinants,  Cramer’s Rule   ||
 * ** Functions ** ||
 * Introduction, Functions,  Inverse Functions,  Continuity,  Limits  ||
 * ** Elementary Calculus ** ||
 * Rates of Change, Derivatives, First Principle, Basic Derivative formulas, Basic techniques of differentiation. Anti-derivatives, Basic techniques of integration. ||
 * Books: **

Grading Policy:
The recommended grading policy, with weights attached to Quizzes, Homework assignements, Midterm exams, projects and Final Exams.

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