• Syllabus 140 
• Course Objectives:
• 1.         Demonstrate an understanding of the concepts related to functions and their inverses.
  2.         Identify and graph quadratic, polynomial, rational, exponential, and logarithmic functions as well as the conic sections; also, demonstrate knowledge of the properties of these functions and relations and apply this knowledge to real-world situations.
  3.         Demonstrate proficiency in solving linear and non-linear systems using various algebraic, matrix, and graphical methods.
  4.         Use appropriate theorems and techniques to locate the roots of second and higher degree polynomial equations
  5.         Use appropriate formulae associated with arithmetic and geometric sequences and series.
  6.         Demonstrate knowledge of binomial expansion and combinatorial formulae.
  7.         Use technology appropriate in problem solving and in exploring and developing mathematical concepts.
  8.         Manipulate mathematical formulae numerically, and in writing.
• Topical Outline:
•       1.  Identify the characteristics of a quadratic function (i.e., vertex, axis of symmetry, and direction of concavity).
• 2.  Compute roots/zeroes of a polynomial function by factoring techniques. 
• 3.  Estimate the roots/zeroes of a polynomial function. 
• 4.  Solve polynomial inequalities. 
• 5.  Solve systems of linear equations using matrices and determinants. 
• 6.  Solve systems of linear inequalities.
• 7.  Solve systems of non-linear equations.
• 8.  Simplify rational expressions using the division algorithm.
• 9.  Identify points of discontinuity of a rational function. 
• 10. Identify vertical/horizontal asymptotes and end behavior of rational functions.
• 11. Solve rational inequalities. 
• 12. Define exponential and logarithmic functions.
• 13. Simplify exponential and logarithmic expressions using their properties.
• 14. Solve exponential and logarithmic equations.
• 15. Formulate and apply exponential and logarithmic functions to a contextual situation.
• 16. Identify the domain and range of a function.
• 17. Determine intervals on which functions are decreasing/increasing,
•       continuous/non-continuous, or piecewise.
• 18. Identify functions from multiple sources of information (i.e., verbal
•     descriptions, graphs, equations, and tables of values).
• 19. Relate the effect of transformations (i.e., translations, rescaling, or
•       reflections) on graphs of functions and their corresponding equations.
• 20. Perform operations (i.e., addition, subtraction, multiplication and division) on
•       functions, including the composition of functions.
• 21. Decompose a function into a composition of two or more functions. 
• 22. Formulate and apply a function to a contextual situation. 
• 23. Determine the conditions under which a function has an inverse. 
• 24. Identify the inverse of a function from multiple representations. 
• 25. Reformulate a given function into various representations (i.e., verbal,
•        graphical, algebraic, or tabular).
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