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Precalculus with Scientific Applications -- Spring 2016

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MTH 132 - Precalculus with Scientific Applications. Functions used in calculus including polynomial, rational, exponential, logarithmic, and trigonometric. Systems of equations and inequalities, conic sections, polar parametric equations, sequences and series, and Binomial Theorem. (PR:Math ACT 24 or above, or C or better in MTH 127 or C or better in MTH 130)

  • Time and Place: 11:00 - 11:50 pm MTWR at WAEC 1103.
  • Instructor: Peter Saveliev (call me Peter)
  • Office: 713 Smith Hall
  • Office Hours: MW 2:30-4:45 (walk-in), or by appointment
  • Office Phone: x4639
  • E-mail: saveliev@marshall.edu
  • Class Web-Page: math01.com
  • Prerequisites: solid algebra skills, some knowledge of Cartesian coordinates, familiarity with basic functions
  • Text: Stewart, Redlin, Watson. Algebra and Trigonometry, 4th edition.
  • Computer Restrictions: no better than graphic calculator TI-83 or TI-83+
  • Outcomes: the student will learn to recognize and use functions, including the major classes of functions, graph these functions, solve equations, and become prepared for calculus.
  • Activities: the student will practice each outcome via the homework given in the textbook and online.
  • Evaluation: the student achievement of each outcome will be assessed via
  • Grade Breakdown: TOTAL = .05×A + .40×(Q + H) + .20×M + .35×F
    • attendance and participation: 5%
    • quizzes and online homework: 40%
    • midterm: 20%
    • final exam: 35%

For details, see Course policy.


Mathematics Tutor Lab. The tutoring lab is now in two locations. Smith Music Hall 115 is open from 10am to 4pm Monday through Thursday, and 10am to Noon Friday. Smith Hall 620 is open from 5pm to 6:30pm Monday through Thursday.


1 Lectures

The lectures -- exactly as they appear in class -- will be linked here and updated on a daily basis:

2 Homework

Follow this link to access the online homework: Webwork

Assignments:

  • Orientation (not for credit)
  • Review
  • Chapter1


3 Schedule

  • P. PREREQUISITES.
  • Modeling the Real World. Real Numbers and Their Properties. The Real Number Line and Order. Integer Exponents. Rational Exponents and Radicals. Algebraic Expressions. Factoring Algebraic Expressions. Rational Expressions.
  • 1. EQUATIONS AND INEQUALITIES.
  • Basic Equations. Modeling with Equations. Quadratic Equations. Complex Numbers. Other Types of Equations. Inequalities. Absolute Value Equations and Inequalities.
  • 2. COORDINATES AND GRAPHS.
  • The Coordinate Plane. Graphs of Equations in Two Variables.
  • 3. FUNCTIONS.
  • What Is a Function?. Graphs of Functions. Getting Information from the Graph of a Function. Average Rate of Change of a Function. Transformations of Functions. Combining Functions. One-to-One Functions and Their Inverses.
  • 4. POLYNOMIAL AND RATIONAL FUNCTIONS.
  • Quadratic Functions and Models. Polynomial Functions and Their Graphs. Real Zeros of Polynomials. Complex Numbers. Complex Zeros and the Fundamental Theorem of Algebra. Rational Functions.
  • 5. EXPONENTIAL AND LOGARITHMIC FUNCTIONS.
  • Exponential Functions. The Natural Exponential Function. Logarithmic Functions. Laws of Logarithms. Exponential and Logarithmic Equations. Modeling with Exponential and Logarithmic Functions.
  • 6. TRIGONOMETRIC FUNCTIONS: RIGHT TRIANGLE APPROACH.
  • Angle Measure. Trigonometry of Right Triangles. Trigonometric Functions of Angles. Inverse Trigonometric Functions and Triangles.
  • 7. TRIGONOMETRIC FUNCTIONS: UNIT CIRCLE APPROACH.
  • The Unit Circle. Trigonometric Functions of Real Numbers. Trigonometric Graphs. More Trigonometric Graphs. Inverse Trigonometric Functions and Their Graphs.
  • 8. ANALYTIC TRIGONOMETRY.
  • 9. POLAR COORDINATES AND PARAMETRIC EQUATIONS.
  • Polar Coordinates. Graphs of Polar Equations.
  • 10. VECTORS IN TWO AND THREE DIMENSIONS.
  • Vectors in Two Dimensions. The Dot Product. Three –Dimensional Coordinate Geometry. Vectors in Three Dimensions. Equations of Lines and Planes.
  • 11. SYSTEMS OF EQUATIONS AND INEQUALITIES.
  • 12. ANALYTIC GEOMETRY.
  • 13. SEQUENCES AND SERIES.
  • Sequences and Summation Notation. Arithmetic Sequences. Geometric Sequences. The Binomial Theorem.
  • 14. COUNTING AND PROBABILITY.

4 Exams

Upcoming:

These are related... Each old exam is a small (<5%) sample of the types of problems that may appear: