Course

Course Summary
Credit Type:
Course
ACE ID:
CSRA-0001
Organization's ID:
Math 1B
Organization:
Location:
Online
Length:
10 weeks (30 hours)
Dates Offered:
Credit Recommendation & Competencies
Level Credits (SH) Subject
Lower-Division Baccalaureate 3 Mathematics
Description

Objective:

The course objective is to prepare for a Calculus course; acquire a solid foundation in algebra and trigonometry; concentrates on the various functions that are important to the study of the calculus; understand the properties of linear, piece-wise, exponential, logarithmic, and trigonometric functions; and learn to work with various types of functions in symbolic, graphical, numerical and verbal form.

Learning Outcomes:

  • Evaluate trigonometric functions using the unit circle and right triangle approaches
  • Manipulate trigonometric expressions using standard identities
  • Solve exponential and logarithm equations
  • Compute values of exponential and logarithm expressions using basic properties
  • Solve right triangles
  • Prove and use basic trigonometric identities
  • Solve trigonometric equations
  • Verify trigonometric identities
  • Understand the inverse relations between exponential and logarithm equations
  • Graph exponential and logarithm functions using standard transformations
  • Apply the law of sines and the law of cosines

General Topics:

  • Algebra review
  • Linear equations
  • Linear inequalities
  • Absolute value in equations and inequalities
  • Quadratic equations
  • Additional equation solving techniques
  • Functions
  • Graphing functions
  • Transformations of functions
  • Quadratic functions
  • Inverse functions
  • Exponential functions
  • Logarithmic functions
  • Exponential and logarithmic equations
  • Angles and their measure
  • Trigonometric functions, a unit circle approach
  • Solving right triangles
  • Properties of trigonometric functions
  • Inverse trigonometric functions
  • Basic identities and their use
  • Sum, difference and co-function identities
  • Double-angle and half-angle identities
  • Trigonometric equations
  • Law of sines
  • Law of cosines
Instruction & Assessment

Instructional Strategies:

  • Audio Visual Materials
  • Computer Based Training
  • Discussion
  • Practical Exercises
Supplemental Materials