MA104 College Algebra with Applications in Science and Technology. Winter 2015

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MA104 College Algebra with Applications in Science and Technology Winter 2015

MA104 Syllabus Class Meeting Hours Monday, Tuesday, Wednesday, Thursday Classroom: Jamrich Hall 3100 Instructor Roxin Zhang, New Jamrich 2208 rzhang@nmu.edu Office Hours: MWRF 11am 11:50 am and any time by appointments Computer and Calculator Requirements A computer with TI InterActive A scientific calculator is needed for day-to-day work

Prerequisite A C- or better from MA100 or Recommendation from NMU Math Placement Text Book Algebra for College Students, 9E by J. Kaufman and K Schwitters Tests and Quizzes 5-6 Biweekly Quizzes (drop one lowest quiz) One Midterm (possible multiple choice) One final exam (possible multiple choice), check with the NMU websites for final exam schedules.

Grading (Weighted average) Quizzes and Projects 50% Midterm 20% Final Exam 25% Attendance 5% The grade is given based on the weighted average of the above: A 95%, A- 90%, B+ 85%, B 80%, B- 75%, C+ 70%, C 65%, C- 60%, D+55% etc. Homework Homework will be assigned daily and you must work on the assigned problems to understand the concepts. Homework will not be graded.

Liberal Studies Requirement This course satisfies the Division III, Foundations of Natural Sciences, of the Liberal Studies requirement. Students elect a minimum of six credits from this division. Students who complete the science courses should be able to recognize and understand the scientific method; understand and use scientific concepts; understand and discuss general scientific articles; and apply their knowledge of science to everyday experience. Students who complete the mathematics courses should be able to demonstrate a basic understanding of mathematical logic; use mathematics to solve scientific or mathematical problems in college classes; express relationships in the symbolic language of mathematics; and appreciate the role of mathematics in analyzing natural phenomena.

DISABILITY SERVICES If you have a need for disability-related accommodations or services, please inform the Coordinator of Disability Services in the Disability Services Office by: coming into the office at 2001 C. B. Hedgcock; calling 227-1700; or e-mailing disserv@nmu.edu. Reasonable and effective accommodations and services will be provided to students if requests are made in a timely manner, with appropriate documentation, in accordance with federal, state, and University guidelines.

What is Algebra? Why do we need it? Example. Thomas has 3 more apples than Jennifer. After Jennifer gives away 2 apples to her brother, Thomas and Jennifer will have a total of 13 apples. Who many apples does each of them have? Algebra: Thomas has x apples, Jennifer has y apples, and we have the equations: x y 3 x ( y 2) 13 Algebra is the language of mathematics to solve problems in real life.

Contents 1. Basic Concepts and Properties Sets, real Numbers, expressions 2. Equations and Inequalities Linear and fractional equations, inequalities 3. Polynomials Properties of polynomials, factoring polynomials 4. Rational Expressions Dealing with rational and fractional expressions

Contents 5. Exponents and Radicals Exponential and radical expressions, quotients and roots 6. Quadratic Equations and Inequalities Quadratic equations, completing squares, complex numbers 7. Two Dimensional Coordinates Rectangular coordinates, distances, equations of lines 8. Functions Concepts of functions, linear and quadratic functions, transforming and combing functions

Contents 9. Polynomial and Rational Functions Dividing polynomials, remainder and factor theorem, graphing polynomial and rational functions 10. Exponential and Logarithmic Functions Exponential expressions and functions, logarithmic expressions and functions 11. System of Equations Solving several linear equations, matrices and determinants 12. Algebra of Matrices Matrix expressions