SYLLABUS

MTH 201

APPLIED MATHEMATICS

Instructor:Dr. Davender Malik

Office:Old Gym 206Phone: 280-2581Email:

Office Hours:Wednesday: 9:00 AM to 12:00 PM;

Tuesday and Thursday: 8:20 to 9:20AM; 12:30 to 1:50PM

+ by appointment

Class Schedule/Hours: Tuesday, Thursday 11:00 to 12:15

Introduction:

MTH 201 is designed to meet the mathematics requirements of the undergraduate core curriculum. The goal of the course is to develop an appreciation in the student for the improvement role of mathematics in contemporary society. The prerequisite for this course is a successful completion of MTH 135 (College Algebra) or its equivalent. Most high school 4th year math such as Senior Math, Pre-calculus and Analysis will satisfy this prerequisite.

Textbook:

Required text: Applied Mathematics, D.S. Malik; Pearson Custom Publishing.

Class Cancellation Policy: Due to weather condition or other emergencies a class may be cancelled and efforts will be made to notify the Students in advance if possible.

Course Goals:

  1. To learn the basic elements of quantitative reasoning and their roles in contemporary applications.
  2. To acquire the ability to understand, formulate, and solve quantitative problems.
  3. To develop an appreciation of the power of abstraction and deduction in mathematics.
  4. To develop the ability to defend and to refute arguments based upon quantitative data.
  5. To develop an understanding of complex processes and the ability to draw logical conclusions.

Course Objectives:

Part One: System of Linear Equations and Matrix Algebra

  1. The student will be able to construct the equation of a straight line form various information such as points, slope, an intercepts.
  2. The student will be able to formulate a system of linear equations in two or three variables and find the solution of the system.
  3. The student will learn the matrix notation and matrix algebra.
  4. The student will be able to find a matrix inverse and apply it to various problems.

Part Two: Linear Programming

  1. The student will comprehend the basic model structures of a linear programming problem.
  2. The student will learn to formulate a simple linear programming problem.
  3. The student will learn to find the solution of a two-variable linear programming problem with the graphical method.

Part Three: Interest, Mortgages, and Financial Decision Making

  1. The student will learn to calculate interest using basic formulas.
  2. The student will learn to calculate the present value of future payments.
  3. The student will learn to calculate time payments.

Part Four: Mathematical Logic

  1. The student will understand the concepts of statements, connectives, and negation,
  2. The student will learn to construct and read truth tables.
  3. The student will understand the concepts of equivalence, implication, and deduction.

Part Five: Set Theory

  1. The student will understand the notion of a set.
  2. The student will learn the basic operations on sets—union, intersection, and complement.
  3. The student will learn to represent sets using Venn diagrams.
  4. The student will learn to find the size of a (finite) set and use this concept to solve problems.
  5. The student will learn about the sets of outcomes and trees.

Part Six: Probability

  1. The student will understand the basic concepts and rules of the probability of a single event.
  2. The student will learn to determine the size of a complicated event by using the multiplication rule, permutations, and combinations.
  3. The student will be able to compute the probability of a single event.
  4. The student will understand the concepts of conditional probability and independence between events.
  5. The student will be able to compute the probability of a compounded event.
  6. The student will learn the basic concepts and method of a stochastic process.
  7. The student will be able to use the Binomial Distribution to evaluate Bernoulli trials.

Part Seven: Statistics

  1. The student will comprehend the concepts of a random variable and its probability density function.
  2. The student will be able to construct the probability distribution of the random variable of a simple experiment.
  3. The student will be able to find the expected value and the standard deviation of a random variable form its probability distribution.
  4. The student will know the properties of a normal distribution and use the distribution to estimate the probability of a related event.
  5. The student will be able to use the normal distribution to estimate the Binomial distribution.

Academic Honesty:

Academic Honesty Policy is passed by the Executive Council of the College of Arts and Sciences on February 7, 2002, approved by the Dean on February 21, 2002, and amended on January 30, 2003. In the case of academic dishonesty, the rules set in the policy will be followed. This policy is at the website:

Course Evaluation:

Home Work: (Only completion points) ------5%

Chapter Tests: ------50%

A: Chapters 2,3,4,5: 4 tests ------25% (Maximum)

B: Chapters 6, 7, 8, 9: 4tests------25% (Maximum)

Due to difficulties in fairness and administration for large classes these in-class tests CANNOT be made up for any reason. No late papers will be accepted.

**To allow necessary absence, each test will have extra questions.

For part A, each test is 30 points. The maximum points you can earn are 120.

For part B, each test is 30 points. The maximum points you can earn are 120.

Midterm Examination(March 1, 2007) ------15%

Chapters 2, 3, 4, 5

Final Examination(May2, 2007, 3:00 — 4:40) ------30%

Chapters 2, 3, 4, 5, 6, 7, 8, 9

The location for the final exam will be announced at a later time. Finals may not be given early. Those who miss the final will receive 0 points for the final.

***Final exam is prepared and administered by the department. All MTH 201 students take the same exam, at the same time, and in the same room.

*** In exams, only a scientific calculator is allowed.Graphics Calculators are notallowed.

*** You can find old exams and current syllabus at:

Grade Scale:

90%— 100 %A

85%—89.999 %B+

80%—84.999 %B

75%—79.999 %C+

65%—74.999 %C

55%—64.999 %D

0—54.9999 %F

Course Presentation:

In class, the course will consist of lectures, examples, question-and-answer, and class-work exercises. Outside of class, the student will be asked to study the text and lectures as well as working problems.

Attendance Policy:

Three excused absences are allowed. Each successive absence will result in grade reduction.

Course Outline

Assigned home work: All odd numbered exercises in the book.

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