SYLLABUS
MATH 11010 – Algebra for Calculus
(3 Credit Hours) Catalog Information:
Study of elementary functions and graphs, including polynomial, exponential, and logarithmic functions; complex numbers; binomial theorem. This course may be used to satisfy the LERs. Prerequisite: A grade of C (2.0) or better in MATH 10036, or appropriate placement test score, and no credit for MATH 11011 or MATH 12001.
Text: College Algebra, 2nd edition, by Beecher, Penna, and Bittinger.
Functions and Graphs (16 days)
• Functions in general
• Definition and function notation – formalize the types of functions in Fundamental Mathematics
• Images, domain/range (in context and symbolically) • Increasing/decreasing; odd/even
• Difference quotients
• Piecewise functions
• Operations on Functions
o Adding and subtracting functions – graphical, numerical, symbolic
o Multiplying functions – graphical, numerical, and symbolic
o Composition of functions – graphical, numerical, symbolic
• Graphing techniques o Symmetry with function notation
o Horizontal and vertical translations with quadratic functions
o Vertical stretches and compressions – non­rigid transformations
o Transformations with non­quadratic functions
• Modeling
o Linear o Quadratic
o Other function types
EXAM 1
(MATH 11010 Syllabus, continued)
Polynomial Functions (12 days)
• Quadratic functions – non­real zeros
• Complex numbers
• Graphs of power functions, end behavior of polynomial functions, multiplicities
• Synthetic division, Remainder Theorem, Factor Theorem
• Real zeros of polynomials
• Complex zeros and Fundamental Theorem
• Polynomial inequalities (including non­factorable)
EXAM 2
Exponential and Logarithmic Functions (13 days)
• One­to­one functions and inverses
• Logarithmic & exponential functions
• Properties of logarithms
• Logarithmic and exponential equations
• Logarithmic and exponential inequalities
• Applications
EXAM 3
Binomial Theorem (4 days)
• Binomial coefficients
• Using Pascal’s triangle
• Binomial Theorem
• Expansion of (1 + b)n o Finding specific term
• Expansion of (a + b)n
o Finding specific term
• Permutations and combinations