Review Notes (in pdf)

for The Placement Test for Calculus I/Precalculus

M. Chen

Part

Topics/Notes

 

 

 

 

1.

1. Fraction computation with numbers and letters
2. Common factors with numbers and letters
3. Use of parentheses
4. Express a statement with symbols and numbers and some commonly used formulas


Part 1    

 

 

2.

1. Integer exponents, radicals and rational exponents
2. Polynomial algebra: +,-,x


Part 2

 

 

3.

1. Solution of a linear equation: (equations with numbers and letters
2. Solution of a quadratic equation: factoring, quadratic formula


Part 3    

 

 

4.

1. Solution of a polynomial equation: factoring, grouping
2. Definition of function and function operations

 

Part 4

 

 

5.

1. Linear functions: graph, slope, x,y-intercepts

2. Equation of a line: slope-intercept, point-slope
3. Applications of linear function and linear equations

Part 5

 

 

6.

1. Quadratic functions: graph, zeros, vertex


Part 6

 

 

7.

1. Polynomial functions: zeros, graph

2. Rational functions: zeros, domain


Part 7

 

 

8.

1. Exponential functions: growth, decay, graph

Part 8

 

 

9.

1. Degree and radian angle measures
2. Right triangle trigonometry: sin(x), cos(x), tan(x), cot(x), csc(x), sec(x)
3. Identities: sin2(x) +cos2(x) =1
4. Values of trigonometric function at special angles
5. Trigonometric functions of general angles


Part 9  

 

 

10.    

1. Trigonometric functions: sin(x), cos(x), tan(x), domain, period and graph
2. Amplitudes, periods, graphs of Asin(b x), Acos(b x)
3. Identities: sin(2x), cos(2x)


Part 10