Unit 1: Sequences and Series
Goal: The student will demonstrate the ability to identify and evaluate arithmetic and geometric
sequences and series.
Objectives - The student will be able to:
a. Use sequence notation to write the terms of a sequence.
b. Write an arithmetic sequence recursively and explicitly.
c. Use factorial and summation notation.
d. Find the nth term and the partial sum of an arithmetic sequence.
e. Recognize and write a geometric sequence recursively and explicitly.
f. Find partial sums of a geometric sequence.
g. Find the sum of an infinite geometric series.
h. Use arithmetic and geometric sequences and series to model and solve realworld
problems.
Unit 2: Graphical Analysis of Functions
Goal: The student will demonstrate the ability to describe, analyze, and interpret graphs of
functions to solve real-world problems.
Objectives - The student will be able to:
a. Analyze graphs to determine domain and range, zeros, local maxima and minima, and
intervals where the graphs are increasing and decreasing and concavity.
b. Use graphs of functions to model and solve real-world problems.
c. Recognize graphs and transformations of common functions.
d. Sketch the graph of a transformation.
e. Use knowledge of graphical symmetry to determine if a function is even, odd or
neither and sketch the graph.
f. Identify and graph absolute value, greatest integer, step, and other piecewise-defined
functions.
Unit 3: Algebraic Analysis of Functions and Vectors
Goal: The student will demonstrate the ability to perform operations on functions and algebraic
vectors.
Objectives โ The student will be able to:
a. Perform addition, subtraction, multiplication, division, and composition of functions.
Mathematical Analysis - Honors
Essential Curriculum
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