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Syllabus
The lecture class uses a different textbook and syllabus ( Departmental
Syllabus ). The departmental syllabus has a link to a pretest which will
help predict your success in precalculus. Below are the
sections of the Larson Internet Precalculus which match the departmental
syllabus.
Prerequisites
P.1
The Cartesian Plane 2
P.2 Graphs
and Graphing Utilities 8
P.3 Lines
in the Plane 16
P.4 Solving
Equations Algebraically and Graphically
26
P.5 Solving
Inequalities Algebraically and Graphically
38
P.6
Exploring Data: Representing Data Graphically
47
Functions and Their Graphs 57
1.1
Functions
58
1.2
Graphs of Functions 66
1.3
Shifting, Reflecting, and Stretching Graphs
74
1.4
Combinations of Functions
81
1.5
Inverse Functions 89
Polynomial and Rational Functions
105
2.1
Quadratic Functions 106
2.2
Polynomial Functions of Higher Degree
113
2.3
Real Zeros of Polynomial Functions
121
2.4 Complex
Numbers 131
2.5 The
Fundamental Theorem of Algebra
138
2.6 Rational
Functions and Asymptotes 144
2.7 Graphs
of Rational Functions 150
Exponential and Logarithmic
Functions
159
3.1 Exponential Functions and Their Graphs 160
3.2 Logarithmic Functions and Their Graphs 170
3.3 Properties of Logarithms 177
3.4 Solving Exponential and Logarithmic Equations
181
3.5 Exponential
and Logarithmic Models
188
Trigonometric Functions 203
4.1 Radian
and Degree Measure 204
4.2 Trigonometric
Functions: The Unit Circle
211
4.3 Right
Triangle Trigonometry 217
4.4 Trigonometric
Functions of Any Angle 224
4.5 Graphs
of Sine and Cosine Functions 231
4.6 Graphs
of Other Trigonometric Functions 239
4.7 Inverse
Trigonometric Functions 246
4.8 Applications
and Models 253
Analytic Trigonometry
263
5.1
Using Fundamental Identities
264
5.2
Verifying Trigonometric Identities
269
5.3 Solving Trigonometric Equations
274
5.4 Sum and Difference Formulas
282
5.5 Multiple-AngIe and Product-Sum
Formulas
287
Additional Topics in Trigonometry
299
6.1
Law of Sines
300
6.2
Law of Cosines 306
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