Department of Mathematics Syllabus
This syllabus is advisory only. For details on a particular instructor's syllabus (including books), consult the instructor's course page. For a list of what courses are being taught each quarter, refer to the Courses page.
MAT 12: Precalculus
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Lecture(s) 
Sections 
Comments/Topics 

1 
1.11.4, 2.12.2, App. B.4 
interval notation, absolute value, factoring, completing the square, quadratic formula, distance formula, midpoint formula 

1 
1.6, 1.7 
lines, symmetry, circles 

1 
2.3, 2.4 
solving inequalities 

1 
3.1, 3.3 
functions, difference quotients; Emphasize finding domains and simplifying difference quotients 

1 
3.2, 3.3 
graphs of functions, shapes of graphs, average rate of change 

1 
3.4, 3.5 
translations, reflections, composition of functions 

0.5 
3.6 
inverse functions 

0.5 
4.2 
quadratic functions 

1 
4.4 
setting up functions in applications 

1.5 
4.5 
maxmin problems 

0.5 
4.6 
graphing polynomials 

1.5 
4.7 
graphing rational functions, Give examples of polynomial division when covering slanted asymptotes. 

1 
5.1, 5.2 
exponential functions, Assign Appendix B.3 to read 

0.5 
5.3 
logarithmic functions 

1 
5.4 
properties of logarithms 

1 
5.5 
solving equations with logarithms and exponentials, Omit inequalities, or cover them only briefly. 

0.5 
6.1 
trig functions of acute angles, Assign pp. 437439. 

0.5 
6.2 
righttriangle applications 

1 
6.3 
trig functions of angles 

0.5 
7.1 
radian measure and geometry 

1 
8.1 
trig functions of real numbers 

1 
8.2, 8.3 
graphs of sine and cosine, Omit phase shift, and assign pp. 585590. 

1.5 
9.1, 9.2 
addition formulas, doubleangle formulas 

1 
9.4 
trig equations 

1 
9.5 
inverse trig functions, Omit the inverse cosine. 

0.5 
14.2 
Pascal's triangle, Binomial Theorem, (Instructors can refer to Sec. 14.2 in the 7th edition for this material.) 

0.5 
13.2, 13.4 
Factor Theorem, Rational Roots Theorem, (Instructors can refer to Sec. 13.2 and 13.4 in the 7th edition for these topics.) 

1 
5.7 
exponential growth and decay, (if time permits) 

The material from Ch. 13 and 14 is included to satisfy the requirements for the Single Subject Teaching Credential Waiver, and is not contained in the custom version of the text.
In addition to these topics, the course emphasizes problemsolving skills and practice setting up functions for typical optimization problems presented in calculus courses.