MATH 1128 MATH METHODS SYLLABUS SPRING 1999 RICHTON

Prerequisites: Successful completion of MATH 0298 Algebra Skills, MATH 1104 Intermediate Algebra, or via placement test scores. Students who have not passed the Algebra Skills or Intermediate Algebra course at FDU and who have not taken the placement test must take the test at the Learning Center (443-8538) immediately to determine proper mathematics placement.

Tests, quizzes, and homework: At least ten graded assignments will be given during the semester. At least three of these assignments will be hour-long tests. At least one graded assignment will be given during the first two weeks of the semester. Homework will be assigned during each class. Assignments should help students build a foundation of skills in critical reading, analytical thinking, abstract and quantitative reasoning, problem solving, and writing across the curriculum. The final exam is cumulative and will be given during final exam week. Grading penalties will be assessed for absences, frequent lateness to class, and for late assignments.

The University's Academic Integrity Policy, which is printed in the University Bulletin, will be upheld.

A calculator with exponential capabilities (eg. e to the x power) is required. Calculators with graphing capabilities are not allowed.

Textbook: Mathematical Methods for Math 1128, Lial, Miller, and Hungerford, Addison Wesley Longman, 1998.

Chapter 1: Fundamentals of Algebra -- 2 weeks
1.1: The Real Numbers - review
1.2: Linear Equations and Applications
1.3: Linear Inequalities
1.5: Polynomials - review
1.6: Factoring - review
1.7: Rational Expressions
1.8: Integer Exponents - review
1.9: Rational Exponents and Radicals - review
1.10: Quadratic Equations (not square root property or completing the square)

Chapter 2: Linear Equations, Functions and Graphs -- 21/2 weeks
2.1: Linear Equations - Supply, Demand, Equilibrium
2.2: Slope and the Equations of a Line
2.3: Functions
2.4: Applications of Linear Functions - include Average Rate of Change, Cost Functions, Revenue
Functions, Marginal Cost and Revenue Functions 2.5: Other Useful Functions and Their Graphs - include vertical line test and absolute value but not piecewise or greatest integer functions

Chapter 3: Polynomial Functions -- 11/2 weeks
3.1: Quadratic Functions - vertex by p172, do not complete the square
3.3: Polynomial Functions

Chapter 4: Exponential Functions -- 2 weeks
4.1: Exponential Functions
4.2: Applications of Exponential Functions

Chapter 5: Differential Calculus -- 3 weeks
5.1: Limits
5.2: Rates of Change
5.3: Definition of the Derivative
5.4: Techniques for Finding Derivatives
5.5: Derivatives of Products and Quotients
5.6: The Generalized Power Rule - not chain rule
5.7: Derivatives of the Exponential Function - not logarithms
Sections 4 through 7 must cover applications including marginal cost, profit, and revenue

Chapter 6: Mathematics of Finance -- 11/2 weeks
6.1: Simple Interest - not discount
6.2: Compound Interest - not effective rate
6.3: Ordinary Annuities - not annuities due
6.4: Present Value of an Annuity; Amortization
6.5: Applying Financial Formulas - review of chapter

Chapter 7: Graphing Linear Inequalities -- 1/2 week
7.1: Graphing Linear Inequalities in Two Variables