Math 1: General Course Outline
Catalog Description
1. Precalculus. (4) Lecture, three hours; discussion, one hour. Preparation: three years of high school mathematics. Requisite: successful completion of Mathematics Diagnostic Test at UCLA. Function concept. Linear and polynomial functions and their graphs, applications to optimization. Inverse, exponential, and logarithmic functions. Trigonometric functions. P/NP or letter grading.
Textbook
D. Lippman & M. Rasmussen. Precalculus. An investigation of functions.
Available online at www.opentextbookstore.com/precalc
Outline update: P. Greene, 8/13
Schedule of Lectures
Lecture  Section  Topics 

1 
1.1 

2 
1.2 
Domain and Range 
3 
1.3 
Rates of Change and Behavior of Graphs 
4 
1.4, 1.5 
Composition of Functions , Transformation of Functions 
5 
1.5, 1.6 
Transformation of Functions , Inverse functions 
6 
2.1, 2.2 
Linear Functions and Graphs of Linear Functions 
7 
2.2, 2.3 
Graphs of Linear Functions , Modeling with Linear Functions * 
8 
2.5 
Absolute Value Functions 
9 
3.1 
Power Functions and Polynomials 
10 
3.2 
Quadratic Functions 
11 
3.3 
Graphs of Polynomial Functions 
12 
3.4 
Rational Functions 
13 
3.5 
Inverse and Radical Functions 
14 
4.1 
Exponential Functions 
15 
4.2 
Graphs of Exponential Functions 
16 
4.3 
Logarithmic Functions 
17 
4.4 
Logarithm Properties 
18 
4.5 
Graphs of Logarithmic Functions 
19 
5.1 and 5.2 
Circles and Angles 
20 
5.2, 5.3 
Angles, Points in Circles using Sine and Cosine 
21 
5.4 
The other Trigonometric Functions 
22 
6.1, 6.2 (Tangent only) 
Sinusoidal Graphs and the Graph of Tangent 
23 
6.3 
Inverse Trig Functions 
24 
6.4 
Solving Trig Equations 
25 
7.2 
Addition and Subtraction Identities ( Omit product to sumsum to product identities ** 
26 
7.3 
Double Angle and Half Angle identities 