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
    Lippman D. and Rasmussen, M., Precalculus: An Investigation of Functions, Creative Commons Attribution Share Alike 3.0 United States License
    For online textbook material visit http://www.opentextbookstore.com/precalc/ .

Schedule of Lectures

Lecture

Section

Topics

1
1.1
Functions and Function Notation
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 sum---sum to product identities **
26
7.3
Double Angle and Half Angle identities

Outline update: P.Greene 8/13
For more information, please contact undergraduate student services
 

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