Syllabus
Precalculus -- Functions and Graphs

Precalculus -- Functions and Graphs

MATH-2412

Summer 2012
05/29/2012 - 08/15/2012

Course Information

Section 003
Lecture
TTh 5:15PM - 7:45PM
RGC1 303
James Slack
jslack@austincc.edu

Office Hours

  • M W
    6:40 - 7:10
    RRC1205.00
  • T Th
    4:40 - 5:10
    Sorry about the change but this office is located next door to the class room and should be easier to find.

Course Requirements

COURSE EVALUATION/GRADING SCHEME

The grade break out will be as follows

  • Homework:                 10%
  • Quizzes:                      10 %
  • Exam 1:                       15%
  • Exam 2 and 3:             20%
  • Exam 4 (final):            25%

Homework will be graded mostly by completion but the instructor will pick a few problems to be graded in detail. All exams will be cumulative.

Readings

Chapters 1- 14 of Functions Modeling Change: A Preparation for Calculus, by Connally, Hughes-Hallet, Gleason, et al., 4th edition.

Course Subjects

COURSE DESCRIPTION

MATH 2412 PRECALCULUS: FUNCTIONS AND GRAPHS (4-4-0).This is a course designed to prepare students for MATH 2413 Calculus I. Content includes algebraic, logarithmic, exponential, and trigonometric functions and equations; parametric equations; and the polar coordinate system.

 

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Student Learning Outcomes/Learning Objectives

Course objectives:

  1. Sketch graphs and appropriate transformations for the following: polynomial functions (linear, quadratic, followed by those with degree three and higher), trigonometric functions, exponential and logarithmic functions, rational functions, and conic sections.
  2. Solve applied problems using the appropriate function.
  3. Be able to use function notation to evaluate expressions and perform operations on functions such as addition, subtraction, multiplication, division, and composition of functions. Be able to find the domain of functions.
  4. Find the inverse of one-to-one functions.
  5. Solve systems of equations, both linear and non-linear.
  6. Work introductory exercises using polar coordinates, parametric functions, and vectors.
  7. Work introductory exercises from topics in discrete mathematics, such as sequences and series.
  8. Solve equations containing trigonometric functions both in routine exercises and applied problems