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Precalculus Sample Syllabus, Spring 2015, TTh

All sections refer to James Stewart, Lothar Redlin, Saleem Watson Precalculus: Mathematics for Calculus, 6th edition.

Date Material Sections
01/20 Real numbers, powers. §1.1, 1.2
01/22 Algebraic expressions, rational expressions. §1.3, 1.4
01/27 More on rational expressions, equations. §1.4, 1.5
02/29 Modeling with equations (word problems), inequalities, coordinate geometry. §1.6, 1.7, 1.8
02/03 Functions, graphs. §2.1, 2.2, 2.3
02/05 Average rate of change, transformations of functions. §2.4, 2.5
02/10 More on transformations of functions. §2.5
02/12 Review.
02/17 Midterm 1.
02/19 Combining functions. §2.6
02/24 One-to-one functions and inverses. §2.7
02/26 Quadratic functions. Polynomial functions. §3.1, 3.2
03/03 Dividing polynomials, real roots. §3.3, 3.4
03/5 Complex numbers, fundamental theorem of algebra, rational functions. §3.5, 3.6, 3.7
03/10 Exponential functions and logarithms. §4.1, 4.2, 4.3
03/12 Properties of logarithms, equations with exponents and logs, applications. §4.4, 4.5, 4.6
Spring break 03/16 – 03/20
03/24 Trigonometric functions via the unit circle §5.1, 5.2
03/26 Graphs of trigonometric functions. §5.3, 5.4
03/31 Inverse trig functions, applications. §5.5, 5.6
04/02 Trigonometric functions via right angles. §6.1, 6.2, 6.3
04/07 Inverse trig functions, laws of sines and cosines. §6.4, 6.5, 6.6
04/09 Review.
04/14 Midterm 2.
04/16 Trigonometric identities. §7.1, 7.2
04/21 More identities. Working with equations involving trig functions. §7.3, 7.4, 7.5
04/23 More equations with trig functions. §7.5, 7.6
04/28 Polar coordinates. §8.1, 8.2, 8.3
04/30 Review.
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